Solve for X. The triangles are similar.

A. 4
B. 9
C. 11
D. 3

Answer:

4 units

Step-by-step explanation:

The volume of a square pyramid is (a²)*h/3

256=a²*12/3

256=a²*4

256/4=a²

64=a²

a=8

Now we know that the square is 8 by 8.

The volume of a square prism is a²h

256=64h

256/64=h

h=4

Also, a square pyramid is 1/3 the volume of a square prism.

12÷3=4

Answer:

the answer is C    4 units

Step-by-step explanation:

Answer:

9x-7

Step-by-step explanation:

AB =3x-2

BC= 6x-5

AC=AB+AC

AC=(3X-2)+(6X-5)

AC=3X-2+6X-5

AC=3X+6X-2-5

AC=9X-7

Answer:

1,3,4,6 answer

Step-by-step explanation:

Answer:

quantity of red paint =  12.5 gallons

quantity of blue paint =  7.5  gallons

Step-by-step explanation:

Ratio of red and blue paint : 5:3

in ratio

a:b = ax:bx

let the

quantity of red paint be 5x

quantity of blue paint be 3x

then quantity of purple paint = quantity of red paint  + quantity of blue paint

                                                  = 8x

given quantity of purple paint is 20 gallons

thus,

8x = 20

x = 20/8 = 2.5

thus,

quantity of red paint = 5x = 5*2.5 = 12.5 gallons

quantity of blue paint = 3x = 3x*2.5 = 7.5  gallons

Answer:

7 and 12.5

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

60+60+2x=180

120+2x=180

2x=180-120

2x=60

x=30°

Complete Question

It has been found from experience that the mean breaking strength of a particular brand of thread is 9.72 oz with a standard deviation of 1.4 oz. Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of (a) 0.05, (b) 0.01 that the thread has become inferior?

Answer:

At both [tex]\alpha = 0.05[/tex] and  [tex]\alpha = 0.01[/tex]  the conclusion is that the thread has become inferior

Step-by-step explanation:

From the question we are told that

      The population  mean is  [tex]\mu = 9.72 \ oz[/tex]

      The standard deviation is  [tex]\sigma = 1.40\ oz[/tex]

       The sample size  is  n =  36

        The sample mean is  [tex]\= x = 8.93 \ oz[/tex]

The  null hypothesis is  [tex]H_o : \mu = 9.72 \ oz[/tex]

The  alternative hypothesis is  [tex]H_a : \mu < 9.72 \ oz[/tex]

     Generally the test statistics is mathematically represented as

             [tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>        [tex]t = \frac{ 8.93 -9.72}{ \frac{ 1.4 }{ \sqrt{36} } }[/tex]

=>      [tex]t = -3.33[/tex]

So  

    The  p-value obtained from the z- table is  

            [tex]p-value = P( Z < -3.39) = 0.00034946[/tex]

So at  [tex]\alpha = 0.0 5[/tex]

     [tex]p-value < \alpha[/tex]

So we reject the null hypothesis,hence we conclude that the thread has become inferior

  So at  [tex]\alpha = 0.0 1[/tex]

     [tex]p-value < \alpha[/tex]

So we reject the null hypothesis,hence we conclude that the thread has become inferior

Answer:

$578.87

Step-by-step explanation:

Find the area made by the circle made by the 3 ft. walk:

Radius = 17 + 3 = 20

Area = 22/7 x 20 x20 = 1257.14

Find the area made by the pond:

Area = 22/7 x 17 x 17 = 908.29

Subtract area 2 from area 1:

1257.14 - 908.29 = 348.85

Muliply this area by the cost er squar foot:

348.85 x $1.66 = 579.09

It depends on the value of pi used

Answer:

3 to 8 = 6 to 16 = 30 to 80

Step-by-step explanation:

Each time you multiply both numbers of a ratio by the same number, you get an equivalent ratio.

3 to 8

Multiply both 3 and 8 by 2:

6 to 16

Multiply both 3 and 8 by 10:

30 to 80

3 to 8 = 6 to 16 = 30 to 80

Answer:

The crowd would cover an area of 100000 square feet of the field.

Step-by-step explanation:

The length of the football field = 1[tex]\frac{1}{2}[/tex] miles

1 mile = 5280 feet

So that, 1[tex]\frac{1}{2}[/tex] miles = 7920 feet

Given that the field was 12 feet deep on both sides implies that the width = 24 feet.

To estimate the size of the crowd,

length of field = 5000 feet

width = 20

Area of the field covered by the crowd = length × width

                                              = 5000 × 20

                                              = 100000

The crowd would cover an area of 100000 square feet.

Answer:

6.2 kilograms/ deciliters

Step-by-step explanation:

megagrams to kilograms

1 megagram = 1000 kilograms

hectoliter to deciliter

1 hectoliter = 1000 deciliter

Using conversion factors

6.2megagrams      1000 kilgrams         1 hectoliter

---------------------- * ----------------------- * -------------------------

hectoliter                  1 megagram       1000 deciliters

Canceling like terms

6.2 kilograms/ deciliters

Answer:

[tex]\Large \boxed{\mathrm{6.2 \ kilograms/deciliter}}[/tex]

Step-by-step explanation:

1 megagram = 1000 kilograms

6.2 megagrams = x (kilograms)

Cross multiplying.

x = 1000 × 6.2

x = 6200

6.2 megagrams = 6200 kilograms

1 hectoliter = 1000 deciliters

[tex]\displaystyle \sf \frac{6200 \ kilograms}{1 000\ deciliters }[/tex]

[tex]\displaystyle \frac{6200}{1000} =6.2[/tex]

6.2 megagrams/hectoliter = 6.2 kilograms/deciliter

Answer:

The length of the first side of a triangle = 6 m

The length of the second side of a triangle = 6 m

The length of the third side of a triangle = 9 m

Step-by-step explanation:

The complete question is: Two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of the triangle is 21 m. What are the lengths of the three​ sides?

We are given that two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of the triangle is 21 m.

Let the common length of the two sides of a triangle be 'x m'.

So, the length of the first side of a triangle = x m

the length of the second side of a triangle = x m

the length of the third side of a triangle = (2x - 3) m

As we know that the perimeter of a triangle is given by;

The Perimeter of a triangle = Sum of all sides of a triangle

                   21 m = x + x + (2x - 3)

                   21 m = 2x + 2x - 3

                   21 m = 4x - 3

                   4x = 21 + 3

                   4x = 24 m

                    x = [tex]\frac{24}{4}[/tex] = 6 m

Hence, the length of the first side of a triangle = x = 6 m

the length of the second side of a triangle = x = 6 m

the length of the third side of a triangle = (2x - 3) = 12 - 3 = 9 m

Answer:

y=-2x+15

Step-by-step explanation:

First, write out the equation in slope-intercept form, with what you already have:

[tex]y=-2x+b[/tex]

Let "b" represent the y-intercept.

To find the y-intercept, substitute the point (6,3) in for the "x" and "y" variable of the equation and solve for "b":

[tex]3=-2(6)+b\\3=-12+b\\3+12=-12+12+b\\15=b[/tex]

Therefore, your y-intercept is 15.

That means your equation is slope-intercept form is y=-2x+15.

Answer:

A

Step-by-step explanation:

The simpler way to calculate this question is just to calculate A and B

A - 4 x (7+2) = 4 x 9 = 36

B - (4 x 7) + 2 = 28 + 2 = 30

A = 36

=> Thus, our answer is A

Hope this helps!

Answer:

A. 4 * (7+2)

Step-by-step explanation:

Let's evaluate choice A and B. Solve each expression according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

The option that equals 36 will be the correct choice.

A.

4 * (7+2)

Solve the parentheses first. Add 7 and 2.

4 * (9)

Multiply 4 and 9.

36

B.

(4*7)+2

Solve the parentheses first. Multiply 4 and 7.

(28)+2

Add 28 and 2.

30

When evaluated, choice A equals 36. Therefore, A is correct. When the parentheses are arranged like so: 4 * (7+2) it will be equivalent to 36.

Answer:

5/14

Step-by-step explanation:

you would just add the number of marbles which is 14 and add the green and red marbles which is 5 and your answer is 5/14

Probability helps us to know the chances of an event occurring. The probability of choosing a green or red marble from the bag is 5/14.

Probability helps us to know the chances of an event occurring. It is always the ratio of desired outcomes or the sample that is needed to the total number of outcomes.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that the bag that contains two blue marbles, one green marble, seven white marbles, and four red marbles.

Now, the total number of marbles in the bag is 14.

Therefore, the probability of choosing a green or red marble from the bag is,

Probability = (Number of green and red marbles)/(Total number of marbles)

                  = (1+4)/(2+1+7+4)

                  = 5/14

Hence, the probability of choosing a green or red marble from the bag is 5/14.

Learn more about Probability:

https://brainly.com/question/795909

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Answer:

75

Step-by-step explanation:

X/5=15

X=15*5

X=75

Ans.75

Answer:

Proved

Step-by-step explanation:

Given

Integers: a and b

Where [tex]a < b[/tex]

Required

Show that [tex]a^n < b^n[/tex]

We start by writing out the given expression

[tex]a < b[/tex]

Then, take nth root of both sides

[tex]a^n < b^n[/tex]

For instance:

Let a = 2,  b = 2 and n = 4

First

Since [tex]2 < 3[/tex]

Then

[tex]2^4 < 3^4[/tex]

[tex]16 < 81[/tex]

Proved

This is so for all positive values of a,b and n where a < b

Answer:

This was an increase of 22%

Step-by-step explanation:

Given:

Initial/Old amount = $438.00

New amount = $534.36

The percentage increase = [tex] \frac{new amount - old amount}{old amount}*100 [/tex]

% increase = [tex] \frac{534.36 - 438.00}{438.00}*100 [/tex]

[tex] = \frac{96.36}{438.00}*100 = \frac{96.36*100}{438.00} [/tex]

[tex] = \frac{9636}{438.00} = 22 [/tex]

This was an increase of 22%.

Answer:

  see attached

Step-by-step explanation:

It usually works to follow instructions. Here are your two points.

Answer:

both answer is 31°

Hope it is helpful for you

Answer:

find the area of two triangles and subtract them.

Triangle 1 = 1/2 x 20 x 20 = 200

Triangle 2 = 1/2 x 15 x 10 = 75

Area of shaded region: 200 - 75 = 125

The answer is F. 125

Answer:

x=3

Step-by-step explanation:

Hello,

The first thing you do is set up your equation, and we are solving for x so we are going to get x by itself on one side of the = sign.

       2x/3+1=3        First thing: subtract 1 from BOTH sides.

               -1  -1

----------------------

          2x/3=2       Multipliy by 3 on both sides

              *3 *3

-----------------------

            2x=6         Divide by 2 on both sides

             /2 /2

-----------------------

           x=3

I hope this helped you!!!

Answer:

0.33

Step-by-step explanation:

We would like to find the probability that both beads are aqua.

There are 6 aqua beads. Let's calculate the number of ways we can select 2 aqua beads from these 6. We use combinations, which is [tex]_6C_2=\frac{6!}{(6-2)!*2!}[/tex], where the n! means n * (n - 1) * (n - 2) * ... * 2 * 1.

The value of the expression is:

[tex]_6C_2=\frac{6!}{(6-2)!*2!}=\frac{720}{24*2} =15[/tex]

So there are 15 ways to choose 2 aqua beads.

Now let's calculate the number of ways we can select any 2 beads. There are 6 + 4 = 10 beads in total, so we do the same thing as before using combinations:

[tex]_{10}C_2=\frac{10!}{(10-2)!*2!} =\frac{3628800}{40320*2} =45[/tex]

Our fraction is thus:

15 / 45 = 1/3 ≈ 0.33

The answer is thus 0.33.

~ an aesthetics lover

Answer: 9 million

Step-by-step explanation:

The population of the world in 2018 using this model is 7.5 billion.

If a constant rate of growth be R% per annum, then population after n years = P(1+R/100)ⁿ.

Given that, P= 6.8 billion and rate of growth =1.13%.

Now, 6.8(1+1.13/100)ⁿ

= 6.8(1+0.0113)ⁿ

= 6.8(1.0113)ⁿ

a. The population of the world in 2018 using this model.

So, time period is n=9

Now, 6.8(1.0113)⁹

= 7.5 billion

b. World population is 2018 was 7.6 billion

The difference between the estimate from the internet and the answer in part (a) is 7.6-7.5

= 0.1 billion

c. Estimate the year when the world population will be 9 billion

9=6.8(1.0113)ⁿ

(1.0113)ⁿ=1.32

n=24.7 years

Therefore, the population of the world in 2018 using this model is 7.5 billion.

To learn more about the population increase and decrease visit:

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Answer:Ten dollars per hour

Step-by-step explanation:

50 hour =500 dollars

1 hour = ?

Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.

?=(1 hour×500 dollars)/50 hour

?= 500 dollars/50

?=10 dollars per hour

Answer:

n=11 is the answer.

Step-by-step explanation:

19+n=30

In order to find the value of n subtracting 19 on both sides

19-19+n=30-19

n=11 is your answer

Hope it will help you :)

Answer:

108 ft long

Step-by-step explanation:

they both form similar triangles like shape

therefore

[tex] \frac{4}{9} = \frac{48}{x} [/tex]

[tex]x = \frac{9(48)}{4} [/tex]

[tex]x = 108[/tex]

Answer:

d. A hypothesis is derived from the evidence at hand; the evidence produces the hypothesis.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The evidence suggests that a certain hypothesis is tested for its reliability. The hypothesis is accepted or rejected on the basis of its underlying evidences.

Answer:

The correct option (c) "is held together by ionic bonds".

Step-by-step explanation:

Table salt is NaCl. It is a combination of Sodium and Chlorine.

There is 1 valance electron in sodium. Its electronic configuration is 2,8,1

The electronic configuration of Chlorine is 2,8,7. It means that it needs 1 electron so that its octet gets completed.

Na transfers one electron to Cl. It becomes Na⁺. Cl gains one electron From Na. It becomes Cl⁻.

As a resuslt, Na⁺ and Cl⁻ forms. Both Na and Cl are ions. They held together by ionic bonds.