Determine the unknown length or angle measurement. Round each answer to the nearest whole number

Determine The Unknown Length Or Angle Measurement. Round Each Answer To The Nearest Whole Number

Answers

Answer 1

(a) The value of the unknown length, a, is 18 cm
(b) The value of the unknown angle measurement, θ, is 39°

Law of sines

From the question, we are to determine the unknown length and angle measurement

(a)

A + B + C = 180° (Sum of angles in a triangle)

A = 180° - (B + C)

A = 180° -(68° + 59°)

A = 53°

Using the law of sines

[tex]\frac{a}{sin A}=\frac{c}{sin C}[/tex]

[tex]\frac{a}{sin 53^\circ}=\frac{19.5}{sin 59^\circ}[/tex]
[tex]a=\frac{19.5 \times sin 53^\circ}{sin 59^\circ}[/tex]

[tex]a= 18.168[/tex]

[tex]a \approx 18 cm[/tex]

(b)

[tex]\frac{sin A}{a}=\frac{sin B}{b}[/tex]

[tex]\frac{sin \theta}{15}=\frac{sin 57^\circ}{20}[/tex]

[tex]sin \theta=\frac{15 \times sin 57^\circ}{20}[/tex]

[tex]sin \theta=0.6290[/tex]

[tex]\theta=sin ^{-1} (0.6290)[/tex]

[tex]\theta=38.976 ^\circ[/tex]

[tex]\theta \approx 39^\circ[/tex]

Hence, the value of the unknown length, a, is 18 cm
The value of the unknown angle measurement, θ, is 39°

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Related Questions

WILL GIVE BRAINLIEST! I’m desperate for help! This assignment is due today I’m stuck! Pls help!


Which expression represents the following statement? Multiply 6 by 3, and then subtract the quotient of 18 and 9.

6 x (3 ÷ 18) + 9
6 + 3 + (18 ÷ 9)
(6 x 3) − 18 ÷ 9
6 x (3 + 18) + 9

Answers

Answer:

Step-by-step explanation:

the third one is correct

[tex]6 \times 3 - \frac{18}{9} \\ (6 \times 3) - (18 \div 9)[/tex]

Some bacteria double in every hour. if there were 2 bacteria in the beginning, how many bacteria will be there after 6 hours? how many bacteria will be there after 24 hours?

Answers

Using an exponential function, it is found that:

After 6 hours, there will be 256 bacteria.After 24 hours, there will be 33,554,432 bacteria.

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

a is the initial value.b is the growth rate.

The parameters for this problem are given as follows:

a = 2, b = 2.

Hence the number of bacteria after x hours is given by:

[tex]y = 2(2)^x[/tex]

After 6 hours, the amount is:

[tex]y = 2(2)^6 = 2^7 = 128[/tex]

After 24 hours, the amount is:

[tex]y = 2(2)^{24} = 2^{25} = 33554432[/tex]

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A random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important. The interval that is 95% certain to contain the proportion of all 18-24 year olds who believe that their health is extremely important is

Answers

Between 48% and 54% believe that their health is extremely important.

According to the statement

Given that a random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important.

Here

Sample size n =1001

sample proportion p = 0.51

By these values we calculate the Standard error of proportion.

So, Standard error of proportion = 0.0158.

Since sample size is sufficiently large we can take Z critical value for confidence interval

Z critical value for 95% = 1.96

Margin of error = ±1.96*std error

= ±0.0310

confidence interval = 0.51 ±0.0310

= (0.48, 0.54)

So, Between 48% and 54% believe that their health is extremely important.

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A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue

Answers

(C) [tex]\frac{1}{3}[/tex] fraction of the marbles now in the bag is blue.

What is a fraction?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.

To find what fraction of the marbles now in the bag is blue:

Important information is that immediately before the last step blue marbles formed [tex]\frac{1}{5}[/tex] from the marble in the bag. That means that there were [tex]x[/tex] blue and [tex]4x[/tex] other marbles, for some [tex]x[/tex]. When we double the number of blue marbles, there will be [tex]2x[/tex] blue and [tex]4x[/tex] other marbles. Hence, blue marbles now form [tex]\frac{1}{3}[/tex] all marbles in the bag.

Therefore, (C) [tex]\frac{1}{3}[/tex] fraction of the marbles now in the bag is blue.

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Complete question:

A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?

(A) 1/5

(B) 1/4

(C) 1/3

(D) 2/5

(E) 1/2

Miguel is making pudding. The recipe yields
6 servings and calls for 2
cups of milk. How
many cups of milk will Miguel need for 18
servings of pudding?

Answers

Using the given recipe, he will need 6 cups of milk to make 18 servings.

How many cups of milk will Miguel need for 18 servings of pudding?

We know that the recipe for 6 servings, calls for 2 cups of milk.

Miguel wants to do 18 servings, Then he needs to use the recipe:

18 = x*6

Solving the linear equation for x:

x = 18/6 = 3

So he needs to use his recipe 3 times.

And we know that for 6 servings he needs 2 cups of milk, then for 18 he needs:

3*(2 cups) = 6 cups of milk.

Using the given recipe, he will need 6 cups of milk to make 18 servings.

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A student is overheard saying: "I don't need to learn the Primary Trig Ratios. I am just going to use the Sine
and Cosine Laws to solve problems." Show by example that the student is right. Explain the advantages and
disadvantages to this approach. Step by step. Thank you!

Answers

The sine and cosine rule is typically used to find the measure of angles in trigonometry.

How to illustrate the trigonometry?

It should be noted that the sine rule is used when we are given:

two angles and one side.two sides and a non included angle.

The cosine rule is used when we are given:

there sides two sides and the included angle.

The advantage is that it can help us understand the connections between the sides and their angles.

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The theater club of a local high school is planning a production. The amount of time t needed to assemble the set is inversely proportional to the number of people n working. Twelve people can assemble the set in 5 hours.

Write an equation to represent the situation.

FIRST PERSON TO ANSWER GETS BRAINLIEST OR 5 STARS :D

Answers

y = k/x
When y= 5, x= 12
5 = k/12
k = 60

When k=60
t = 60/x

Hope it helps : )

Consider this expression.

x
2
+
x

72

Replace the values of a and b to rewrite the given expression.

Answers

The answer of this is x-20 +x-72=16 because the answer is replaced with x+20

Answer:

(x+9) (x-8)

Step-by-step explanation:

Edmentum/Plato

make x the subject! w/ show work

Answers

this photo shows how to solve

Sean tried to drink as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy in the cup. After 13 seconds, 210 milliliters of slushy remained. (Please help and explain.)

How fast did Sean drink?

How long did it take Sean to drink all the slushy?

Answers

The rate at which Sean drank the slushy is 5 milliliters  per second.

The time it would take to drink all the slushy is 55 seconds.

How fast did Sean drink?

In order to determine the speed at which the slushy was drank, divide the slushy drank in 13 seconds by 13 seconds.

Speed = slushy drank in 13 seconds / time

(275 - 210) / 13

65 / 13 = 5 milliliters  per second

Time it would take to drink all the slushy =total milliliters of the slushy / speed

275 / 5 = 55 seconds.

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One of the legs of a right triangle measures 10 cm and the other leg measures 7 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

12.2 cm

Step-by-step explanation:

we are going to use the formula (below).

Our a and b are going to be our two legs: 10cm and 7cm

[tex]C^{2} =10^{2} +7^{2} \\C^{2}=100+49\\C^{2}=149\\C=\sqrt{149} \\C=12.2cm[/tex]

A popular roller coaster ride lasts 10 minutes. There are 20 people on average on the roller coaster during peak time. How many people are stepping onto the roller coaster per minute at peak time

Answers

There are 2 people are stepping onto the roller coaster per minute at peak time

According to statement

Given Flow time = 10 minutes.

Given Inventory = 20.

We use the formula then

I = R × T,

Therefore R = I / T.

Substitute the values in formula then

Flow rate = 20 / 10 = 2 people per minute.

So, There are 2 people are stepping onto the roller coaster per minute at peak time

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If the average (arithmetic
mean) of 2, 7, and x is 12,
what is the value of x?

Answers

Answer: 27

Step-by-step explanation:

Mean = Sum of data/Number of data = (2 + 7 + x)/3 = 12

(x+9)/3 = 12

x+9 = 36

x = 27

A sales tax of P9,000 is added to a purchase of P120,000 worth of
jewelry. What is the rate of sales tax?

Answers

Answer:

Find the rate of sales tax

R= 9000/120000

=0.075

=7.5%

So, the rate is 7.5%

Drag the tiles to the correct boxes to complete the pairs.
Given: u = <-2, -7>, v = <3, -4>, and w = <5, 1>.

Based on the components of the given vectors, match each vector subtraction with the graph of the resulting vector.

Please help me figure out the correct pairs, godbless the one who answers! (See images attached)

Answers

Performing subtraction operations on the given vectors gives;

Graph 1 → u - vGraph 2 → u - wGraph 3 → w - vGraph 4 → v - u

Which method can be used to complete the pairs correctly?

u - v = <-2 - 3, -7 - (-4) > = <-5, -3>

Therefore;

Graph 1 → u - v

u - w = <-2 - 5, -7 - 1> = <-7, -8>

u - w = <-7, -8> which corresponds with graph 2

Therefore;

Graph 2 → u - w

w - v = <5 - 3, 1 - (-4)> = <2, 5>

w - v = <2, 5> which corresponds with graph 3

Therefore;

Graph 3 → w - v

v - u = <3 - (-2), -4 - (-7)> = <5, 3>

v - u = <5, 3> which corresponds with graph 4

Therefore;

Graph 4 → v - u

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A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. during week 10 of the recall, the manufacturer fixed 200 cars. in week 15, the manufacturer fixed 175 cars. assume that the reduction in the number of cars each week is linear. write an equation in function form to show the number of cars seen each week by the mechanic. f(x) = 5x 250 f(x) = −5x 250 f(x) = 10x 200 f(x) = −10x 200

Answers

The linear function that shows that the number of cars seen each week by the mechanic is:

f(x) = -5x + 200.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

During the first week analyzed, the amount of cars was of 200, hence the y-intercept is of 200. In 5 weeks, the amount decayed by 25, hence the slope is given by:

m = -25/5 = -5.

Thus the linear function that shows that the number of cars seen each week by the mechanic is:

f(x) = -5x + 200.

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Answer:

f(x) = −5x + 250

Step-by-step explanation:

First, we must find the slope. We can take 2 points. (10, 100) and (15,175)

Using y2-y1/x2-x1=m, we find that the slope =-5. to find the y-intercept, we have to find that y= when x=0. Since 10 weeks passed since the begining, we can inverse the slope to find 5(cars)x10(weeks)=50.

so, 200(week10)+50(week 1)=250

f(x)=-5x+250.

Which equation is equivalent to: 3r = 78 + 14 ?

A. −3r =−78+14
B. 3r =78−14
C. 3r−14 =78
D. −3r =78−14

Answers

Answer:

Step-by-step explanation:

B is the answer

PLEASE HELP Which answer provides a counterexample to the following statement: "If a figure has an endpoint,
then it is a line segment"?

Answers

Answer:

ray

Step-by-step explanation:

Rays only have one endpoint, so it continues infinitely in one direction. Segments have TWO endpoints.

What is another name for XW?
Name a ray with an endpoint X.
Give another name for WX.
What’s another name for AXW?
Double points

Answers

Another name for AXW is <X

What is another name for XW?

The arrow on XW implies that the segment XW is a ray, such that any of the points X or W can be the starting point

Hence, another name for XW is WX

Name a ray with an endpoint X.

A ray with an endpoint X is a ray that ends at point X

An example of such ray is XY

Give another name for WX.

The arrow on WX implies that the segment WX is a ray, such that any of the points X or W can be the starting point

Hence, another name for WX is XW

What’s another name for AXW?

The name AXW represents an angle

An angle can be named after its middle point

Hence, another name for AXW is <X

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In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a=7 feet and b=7 feet, what is c? if necessary, round to the nearest tenth.

Answers

The length of hypotenuse when the value of legs of a right angled triangle are 7 and 7 feet is 9.9 feet.

Given that a and b are legs and c is the hypotenuse. length of legs of a right angled triangle  are 7 feet and 7 feet.

We have to find the value of c in the right angled triangle.

In this we have to apply pythagoras theorem because it says tat the square of hypotenuse is equal to the sum of squares of base and perpendicular of that right angled triangle.

[tex]H^{2} =P^{2} +B^{2}[/tex]

H=c

P=7 feet

B=7 feet.

Put the values in the above rule:

[tex]c^{2} =7^{2} +7^{2}[/tex]

[tex]c^{2}[/tex]=49+49

[tex]c^{2}[/tex]=98

c=9.899

After rounding off to nearest tenth we will get c=9.9.

Hence the value of c is 9.9 which is the length of hypotenuse.

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If the function 5x+y=1 has the domain (-2,1,6) then what is the corresponding range?

Answers

The corresponding range of the domain is (11, -4, -29)

How to determine the range?

The function is given as:

5x + y = 1

Make y the subject

y = 1 - 5x

The domain is given as:

(-2,1,6)

Substitute these values in y = 1 - 5x

y = 1 - 5(-2) = 11

y = 1 - 5(1) = -4

y = 1 - 5(6) = -29

Hence, the corresponding range of the domain is (11, -4, -29)

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In which diagram do angles 1 and 2 form a linear pair?

2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Mark this and return

Answers

The diagram where angles 1 and 2 form a linear pair is option D which is that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

Given that angle 1 and 2 form a linear pair.

We know that a linear pair is an angle that are formed when two lines intersect each other at a single point.

In our case when a horizontal line has 1 line extending from it and when angles 1 and 2 are formed shows a linear pair.

In first part when two lines intersect they donot form 4 angles.

In second part when 3 lines extend from a point they don't form right angle between the lines.

Hence the linear pair angles are shown by the statement that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

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One column of numbers consists of 28,42,14. When the digits of the numbers are added together, the result is 2+8+4+2+1+4=21, and when the digits of 21 are then added together, the end result is 2+1=3. If the same process is performed on the numbers in a second column, what can be concluded?

Answers

Option D. What we can conclude is that  If the end result from the second column is not 3, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.

How to solve for the solution

An operation is done on a first column of numbers. When this operation is repeated on the second column, we would have option D.

If the sum of the numbers that are in the third can be seen to be greater than three, then the sums are not going to be seen as equal

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Complete question

One column of numbers consists of 28, 42, and 14. When the digits of the numbers are added together, the result is 2 + 8 + 4 + 2 + 1 + 4 = 21, and when the digits of 21 are then added together, the end result is 2 + 1 = 3. If the same process is performed on the numbers in a second column, what can be concluded?

A. If the end result from the second column is also 3, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.

B. If the end result from the second column is not 3, then the sum of the numbers in the first column is equal to the sum of the numbers in the second column.

C. If the end result from the second column is also 3, then the sum of the numbers in the first column is equal to the sum of the numbers in the second column.

D. If the end result from the second column is not 3, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.

Find Q2 of the following data set 3, 9, 12, 4, 6, 40, 25, 14, 10

Answers

Answer:

Q₂ = 10

Step-by-step explanation:

Given data set:  3, 9, 12, 4, 6, 40, 25, 14, 10

Q₂ is the median (the middle value) of the given data set when the data set is ordered from smallest to largest.

Order the values in the data set:

3, 4, 6, 9, 10, 12, 14, 25, 40

As the number of values is odd, the middle value is the 5th value.

Therefore, the median (Q₂) of the given data set is 10.

If the number of data values is even, and therefore there are two middle values, the median is halfway between them.

If the variance of a security is 0.01545, what is the standard deviation?
A. 0.1545
B. 0.1243
C. 0.0155
D. 0.1121

Answers

The standard deviation is 0.1243, given the variance to be 0.01545, making option B the right choice.

Dispersion is measured by variance. A metric called a "measure of dispersion" is used to assess how variable data are concerning an average value. There are two sorts of data: grouped and ungrouped. Data is referred to as grouped data when it is presented as class intervals. On the other hand, it is referred to as ungrouped data if it comprises just individual data points. For both types of data, the sample and population variances may be calculated.

The variance of the provided data is obtained by taking the square of the standard deviation. The standard deviation is used to determine how widely distributed the data points are about the mean. In other words, the standard deviation is used to determine how observations in a data collection deviate from the mean. While the standard deviation has the same unit as the population or the sample, variance is represented in square units.

In the question, we are asked to find the standard deviation, if the variance is 0.01545.

We know that Variance = (Standard Deviation)².

This gives us:

Standard Deviation = √Variance,

or, Standard Deviation = √0.01545,

or, Standard Deviation = 0.12429802894 ≈ 0.1243.

Thus, the standard deviation is 0.1243, given the variance to be 0.01545, making option B the right choice.

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Which expression is equivalent to (r^5/4

Answers

Answer:

2

Step-by-step explanation:

• Multiplying two numbers with same bases is the same as adding their powers:

∴ [tex](\frac{4^{\frac{5}{4} } \cdot 4^{\frac{1}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }[/tex]

⇒ [tex](\frac{4^{\frac{5}{4} } ^ + ^{\frac{1}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }[/tex]

⇒ [tex](\frac{4^{\frac{6}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }[/tex]

• Dividing two numbers with same bases is the same as subtracting their powers:

∴  [tex](\frac{4^{\frac{6}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }[/tex]

⇒ [tex](4^{{\frac{6}{4} - \frac{1}{2} }})^{\frac{1}{2} }[/tex]

⇒  [tex](4^{1})^{\frac{1}{2} }[/tex]

⇒  [tex]4^{\frac{1}{2}[/tex]

• Raising anything to the power of  [tex]\frac{1}{2}[/tex] is the same as square-rooting it:

∴  [tex]4^{\frac{1}{2}[/tex]

⇒ [tex]\sqrt{4}[/tex]

2

More than 93 percent of all blank______ are distributed as freestanding inserts in newspapers

Answers

More than 93 percent of all blank coupons are distributed as freestanding inserts in newspapers.

What is percent?

A percentage solution is a chemical or compound amount or volume per 100 mL of solution. It is a proportion of solute to solvent: X amount/100 ml = X% Percentage solutions are a simple and convenient way to record solution concentrations.A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent. It is denoted by the symbol "%."

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What is the GCF of:
9a^4b^4 - 27a^3b^3

Answers

Answer:

9a^3b^3

Step-by-step explanation:

The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number

Find the prime factors of each term in order to find the greatest common factor (GCF).

Total area=
Help me please thanks so much :)

Answers

The surface area of the square pyramid is: 220 units².

What is the Surface Area of a Square Pyramid?

Surface area of a square pyramid = 1/2(base perimeter)(slant height) = 1/2(P)(l).

Given the following:

Perimeter of base (P) = 4(10) = 40 units

Slant height (l) = 11 units

The surface area of the square pyramid = 1/2(40)(11)

Surface area of the square pyramid = 220 units²

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Instructions: Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

15.78°

Step-by-step explanation:

Let the angle be x.

From the x, the known sides are the opposite side, O(13) and the adjacent side, A(46)

Therefore, The trigonometric ratio is the tangent ratio.

tan x = O/A

tan x =13/46

x = 15.78°

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NEED HELP ASAP PLEASE! hoyts lumber generally receives 3 checks per month. a check for $10,480 clears in 4 days, a check for $6,275 clears in 3 days, and a check for $7,550 clears in 3 days. assuming 30 days in each month, what is the average daily float? PLEASE HELPSquare A is dilated by a scale factor of 1/2, making a new square F (not shown). Which square above would have the same area as square F? aSquare B bSquare C cSquare D dSquare E Which of the below are forest ecosystem services? Hint: Keep in mind the difference between ecosystem good and ecosystem services! water purification erosion control nutrient cycling Be carbon storage and cycling support of biodiversity cut timber hormones that act on the same target cells yet have opposite effects are said to be: Senatorial courtesy allows a senator for the president's political party to veto a judicial appointment in his/her state by issuing __________.a.censureb.formal condemnationc.a pink slipd.a senatorial vetoe.a blue slip Kita Wong is concerned that her 78-year-old mother, SuLyn, is not taking her medications correctly. SuLyn is on phenytoin, theophylline, digoxin, and a benzodiazepine. What is the best method for monitoring SuLyn's phenytoin therapyA) 24-h urine checkB) Patient reports of seizure activityC) Serum phenytoin levelD) EEG what is responsible for many autonomic functions and is observed to be more active when processing incongruent stimuli quizlet. the electron in a hydrogen atom spends most of its time 0.5310^10 m from the nucleus, whose radius is about 0.8810^15 m. If each dimension of this atom was increased by the same factor and the radius of the nucleus was increased to the size of a tennis ball, how far from the nucleus would the electron be?(Assume that the radius of a tennis ball is 3.0 cm.) briefly describe the organelle modifications the following cell types have based on their function (i.e., the numbers of organelles): True/False: A simplified version of the universal accounting equation (uae) for an extensive quantity that is conserved is final initial = generation consumption Methane gas, CH4, effuese through a barrier at a rate of 0.568 mL/minute. if an unknown gas effuese through the same barrier at a rate of 0.343 mL/minute, what is the molar mass of the gas?a) 64.0 g/molb) 28.0 g/molc) 44.0 g/mold) 20.8 g/mole) 32.0 g/mol turbine, inc. is implementing a wind energy project. the key driver for the project is quality. what should the pm do with the key driver? if the field magnitude then decreases at a constant rate of 1.5102 t/s , at what rate should r increase so that the induced emf within the loop is zero? decorators cannot be placed in modules and reused. (True or False) Assume Baldwin is producing 808 units of Boat next year. What would Boat's plant utilization be?NamePrimary SegmentUnits SoldUnit Inven tory2nd Shift &Capacity Next RoundPlant UtilizBoatElite1,655239100%850198%A.) 198.3%B.) 93.10%C.) 95%D.) 96.9% explain one cause of development failure in the third world in the latter half of the 20th century please help me solve for x image is attached ive been stuck on it for a few days now Calculate the pH of 1.0 L of the solution upon addition of 30.0 mL of 1.0 M HCl to the original buffer solution. Express your answer to two decimal places. develop an argument as to whether a country should or should not join a supranational organization.