Please solve for in this equation

Answers

Answer 1

Answer:

x = 4 rounded to the nearest whole number (actually 4.0801)

Step-by-step explanation:

The triangle formed by the sides of length 0.9x, 2.8x and 12 form a right triangle with the side of length 12 as they hypotenuse

By the Pythagorean theorem

c² = a² + b² where c = hypotenuse, a and b being the other two sides

Plugging in values we get

12² = (0.9x)² + (2.8x)²

144 = 0.81x² + 7.84x² = 8.65x²

Switching sides:

8.65x²= 144

x² = 144/8.65 = 16.6473

x = √16.6473= 4.0801

Rounded to the nearest integer, x = 4

Related Questions

water and food are products of?

Answers

Nurturance pretty sure

A square piece of cloth with an area of 324 square inches is folded in half twice to form the napkin shown. What is
the area of the folded napkin?

Answers

The area of the napkin will be 162.5 inches².

What is the area of a square?

The area of a square is -

{A} = Side x Side

Given is that a square piece of cloth with an area of 324 inches² is folded in half twice to form the napkin.

The area of the cloth is -

{A} = 324

Let the side of the square cloth be {a}. So, we can write -

a² = 324

a = √324

{a} = 18 ... Eq { 1 }

The diagonal of the square will be the base length of the napkin (in the form of triangle). So, we can write -

d² = a² + a²

d² = 2a²

d² = 648

d = √648

{d} = 25.5 inches ... Eq { 2 }

The height would be -

h = d/2

h = 25.5/2

{h} = 12.75

The area of the napkin would be -

1/2 x d x h

1/2 x 25.5 x 12.75

162.5 inches²

Therefore, the area of the napkin will be 162.5 inches².

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Mathmatics for Calculus

Answers

The value of function for f'(2) is 0.22.

What is the differentiation?

The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.

Given that, f(x)= √(x+3) at the specific point x=2.

f'(2)= [tex]\lim_{h \to \ 0}[/tex]((f(2+h)-f(2))/h)

Find the derivative using the chain and power rules.

[tex]f(x)=(x+3)^{\frac{1}{2} }[/tex]

f'(x) = [tex]\frac{1}{2(x+3)^{\frac{1}{2} }}[/tex]

f'(2)= [tex]\frac{1}{2(2+3)^{\frac{1}{2} }}[/tex]

f'(2)= 1/2√5

f'(2)= 1/4.47

f'(2)= 0.22

Therefore, the value of function for f'(2) is 0.22.

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6
x
+
8
=
3
x
+
6

Give your answer as a fraction

Answers

Answer: x = -2/3

Step-by-step explanation:

6x+8=3x+6

First, subtract 8 from each side. we now have 6x = 3x - 2. now we subtract 3x from each side and we get 3x = -2. we have to divide both by 3 now. The 3’s cancel each other out so now we have x = -2/3

This table represents function f. If function g is a quadratic function that contains the points (-3, 5) and (0, 14), which statement is true over the interval [-3, 0] A. The average rate of change of f is more than the average rate of change of g. B. The average rate of change of f is less than the average rate of change of g. C. The average rate of change of f is the same as the average rate of change of g. D. The average rates of change of f and g cannot be determined from the given information.

Answers

Answer:

D. The average rates of change of f and g cannot be determined from the given information.

Step-by-step explanation:

To determine the average rate of change of a function, we need the equation of the function. Since the equation of g is not given, we cannot determine the average rate of change of g and compare it with the average rate of change of f. Hence, option D is the correct answer.

the answer is C i got it right.

If $600 is put in the bank and each year the account earns 7 % simple interest, then how much interest
will be earned in two years?
$42
$63
$84
$420

Answers

Answer: $84

Step-by-step explanation:

The interest earned in 2 years would be $600 * 7% * 2 = $84.

Point T is at (-2,5). What are the coordinates of point T after R y axis o R axis

Answers

The coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5). The solution has been obtained by using the concept of reflection.

What is reflection?

In geometry, a reflection is referred to as a flip. In a reflection, the shape is reflected. An image will reflect over a line known as the line of reflection.

We are given a point T(-2, 5)

In order to find the coordinates of the reflection of point in the y-axis, we need to change the sign of abscissa i.e., x-coordinate and retain the ordinate i.e., y-coordinate.

So, we get the image of (-2 , 5) as (2, 5)

Thus, the coordinates of point T' after Ry-axis is (2, 5).

When we reflect across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.

So, we get the image of (-2 , 5) as (-2, -5).

Thus, the coordinates of point T' after Rx-axis is (-2, -5).

Hence, the coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5).

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Julio’s car can travel 300 miles on one 12-gallon tank of gas. Viet’s car uses gas as described by the equation m=13g
, where m is the miles traveled and g is the gallons of gas used. Which statement is true?

Answers

The true statement is "viet's car can uses 13 gallons of gas for every miles it travels.

The correct answer choice is option B.

Which statement is true?

Julio's car:

m = k × g

Where,

m = miles traveled

g = gallons of gas used

m = k × g

300 = k × 12

300 = 12k

divide both sides by 12

k = 300/12

k = 12

So,

m = 12g

Viet's car:

m=13g

Therefore, the correct statement is viet's car uses 13 gallons of gas for every mile.

Answers

Answer: I don't know what's in the drop down menu, but the relationship you displayed is indeed a proportonial relationship

Step-by-step explanation: For each change of x, an equal change of y occurs. If you double x, y doubles as well. That means that the relationship between x and y is dirctly proportional.

Answer:

Step-by-step explanation:

does not I think

g (7) g (x) = - 10x - 7

Answers

Not 100% sure, hope this helps.

g(7) is the output of the function g when the input is 7. To find g(7), we plug in 7 for x in the equation g(x) = -10x - 7, which gives us:

g(7) = -10 * 7 - 7 = -77

So the value of g(7) is -77.

Which is the best description for the graph of a > 4?
O A vertical dotted line at (4,0) with the shading to the right of the line.
O A vertical solid line at (4,0) with the shading to the right of the line.
A vertical dotted line at (4,0) with the shading to the left of the line.
A vertical solid line at (4,0) with the shading to the left of the line.

Answers

Note that the best description for the graph is a > 4 is "A vertical solid line at (4,0) with the shading to the right of the line." (Option B)

What is the rationale for the above answer?

Note that the inequality means that a is greater than 4. This means that the end value 4 is not included.

To graph the inequality " > " a dashed line is used. The inequality does not contain any y - value in it.

Hence, it has only one vertical line at a> 4 and is shaded for all values of a greater than 4.

Thus, the graph that fits the inequality is a vertical dashed line, shaded to the right of the line.

It is correct to state, therefore, that option B is the corect answer.

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PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!

what is the period of the sinusoidal function? enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

100 parking spaces on the lot. how many spaces were full if 70% of the lot was being used

Answers

Answer:

70 parking spaces were full.

Step-by-step explanation:

To calculate this, multiply the total number of parking spaces (100) by the percentage of the lot being used (70%):

100 * 0.70 = 70

Billy needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the total area of the two triangles that need to be painted? Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 9 cm, and its base is 3 cm.

A. 7.5 cm 2
B. 15.0 cm2
C. 19.5 cm2
D. 39.0 cm2

Answers

A is the correct one I took the test

Indicate the method you would use to prove the two 's . If no method applies, enter "none". SSS SAS ASA AAS None 45 degrees

Answers

Answer:

Step-by-step explanation:

A student starts a walk at (-7, -9). If the student walks 3 miles north, south, east, or west, which of the following could be their location at the end of the walk?
O(-10,-9). (-4,-9), (-7,-6). (-7, -12)
O(-9,-7), (-12, -7), (-4,-6), (-10,-6)
O(-7,3), (-7, -12), (-4,-9). (3,-9)
O (3,-9), (6,-9), (-7,-4), (-7, -12)

Answers

If the student walks 3 miles north, south, east, or west, the location at the end of the walk are respectively, (-10,-9). (-4,-9), (-7,-6). (-7, -12).

So Option A is correct

What is subtraction and addition ?

In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.

For example, if we take 4 pencils out of 10 then remaining pencils are 6

so this process is called subtraction.

And opposite operation of subtraction is known as addition, which means in addition, few portion provided to the whole part.

Given that,

A student starts a walk at (-7, -9)

If the student walks 3 miles north, south, east, or west,

The location at the end of the walk = ?

Plotting dotted diagram,

East

North --------- |-------------- South

West

Suppose, he goes to north direction

Then, 3 will be subtracted from x coordinate,

It can be written as,

(-7-3, -9)

(-10, -9)

Similarly, for South, (-4, -9)

East, (-7, -6)

West, (-7, -12)

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16. AQRS is an equilateral triangle. If QR is seventeen more than twice x, RS is 19 less than six times x,
and QS is one less than four times x, find x and the measure of each side.
Topic 4: Congruent Triangles
18. Write three valid congruency statements given the triangles below.
P
17. In AJKL, if JK = JL, m/J = 23x - 4, m/K = 4x - 1, and m/L = 9x - 31, find x and the
measure of each angle.
¥
Q
R
S
|||
T
U
19. If AKPLAACM, complete each part.
a) KL =
d)

b) AC=
e) ZK =
c) PL=
f) ZM =
a)
b)
c)
W
15 m
Topic 5: Triangle Congruence & Proofs
21. What are the methods to prove triangles are congruent?
20. If AWXY AHJI, complete each part.
a) JI =
b) JH =
c) m/W=
d) m/J=
e) m/I=
114°
X
16 m
J
Y
37°
X:
H
QR=
RS =
QS =
22. Determine if the triangles below are congruent. If yes, state which method.
a)
b)
c)
=
X =
m/J=
m/K=
m/L=
d)
40

Answers

The value of x is 9 and the measure of each side is 35 units.

What is an Equilateral Triangle?

A triangle is said to be equilateral if each of its three sides is the same length.

In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

Given, Triangle QRS is an equilateral triangle.

QR is seventeen more than twice x ---> QR = 17 + 2x

RS is 19 less than six times x, ---> RS= 6x - 19

And QS is one less four times x, ---> QS = 4x -1

We have to find x and measure of each side.

Now, we know that, the sides of an equilateral triangle are equal,

If we solve for RS and QS, we find they are both equals to 35.

Answers

The number of items on their grocery shopping list given the percentage already bought is 20 items.

How many grocery items are on the list?

Percentage of items bought already= 60%

Number of items bought already= 12

Total number of items on the list= x

Number of items bought already = Percentage of items bought already × Total number of items on the list

12 = 60% × x

12 = 0.6 × x

12 = 0.6x

divide both sides by 0.6

x = 12/0.6

x = 20 items

Hence, there are a total of 20 items on their grocery list.

Answers

The ratio will remain constant. Then the value of the variable 'x' will be 2.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The ratio will remain constant. Then the equation is given as,

9/4 = 13.5 / (x + 4)

9(x + 4) = 13.5 (4)

9x + 36 = 54

9x = 18

x = 2

The ratio will remain constant. Then the value of the variable 'x' will be 2.

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select the expression that is equivalent to (x+5)^2-(x-3)(x+5)

Answers

The equivalent expression is 8x + 40.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(x + 5)² - (x - 3)(x + 5)

x² + 10x + 25 - (x² + 5x - 3x - 15)

x² + 10x + 25 - x² - 2x + 15

8x + 40

Thus,

8x + 40 is the equivalent expression.

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I’ll give braniest

Find the area of the triangle
In the picture

Answers

Hello if I get anything wrong I’m sorry I’m in beta right now analyzing images is something I was made for an understanding text.

Area = (1/2) * base * height

Given the base as 6x inches and height as (5x - 1) inches, the area can be calculated as follows:
Area = (1/2) * 6x * (5x - 1)
= 3x * (5x - 1)
= 15x^2 - 3x

So the area of the triangle is 15x^2 - 3x square inches.

5(4 · 3 + 3 · 4)= 300 120 480

Answers

Answer:

120

Step-by-step explanation:

First you do the question in the paretheses.

12 + 12 = 24

5 x 24 = 120

Answer:120

Step-by-step explanation:

the ratio of diners to waiters is 1:8 respectively. If the total number of people in the restrant is 36, how many waiters are there

Answers

There are 32 waiters in the restaurant.

What is ratio?

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

The ratio of diners to waiters is 1:8 respectively.

Let x be the number of diners and 8x be the number of waiters.

If the total number of people in the restaurant is 36,

that means, 8x + x = 36

x = 4

Then, the number of waiter = 32.

Therefore, the number of waiter = 32.

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Solve the system of equations using elimination.

2x + 3y = −8
3x + y = 2

Answers

Answer: x = 2 and y = -4

In a recent survey, a group of people were asked if they were happy or unhappy with the state of the country. The data are shown in the contingency table below, organized by political party. What is the odds ratio for people unhappy with the state of the country to be republicans against people happy with the state of the country to be republicans? Round your answer to two decimal places

Answers

The data are shown in the contingency table below, organized by political party therefore the odds ratio for people unhappy with the state of the country to be republicans against people happy with the state of the country to be republicans is 0.64.

What is Data?

This is referred to as information that has been translated into a form that is efficient for movement or processing.

Number of people unhappy with the state of the country to be republicans = 98

Number of people happy with the state of the country to be republicans = 152

Therefore the ratio is 98/152 = 0.64

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Answer:

Step-by-step explanation:

0.46

erastdyfugihojlhgfdszerWestdyfughilj;hgufydtyrstzerxytcfyguhlij;lk

Answers

Answer:

36/27

Step-by-step explanation:

SOHCAHTOA, so tan is opposite over adjacent.

opposite = 36

adjacent = 27

So, tan C is 36/27

The mass of a radioactive substance follows a continuous exponential decay model, with the decay rate parameter 4% per day. A sample of this radioactive substance has an initial mass of 2.05 kg. Find the mass of the sample after four days. Round your answer to two decimal places.

Answers

The mass of the sample after four days is 1.75 kg.

How to find the mass of the sample after four days?

The decay rate for a radioactive substance follows the exponential decay formula:

m(t) = m₀ * e^(-kt),

where m₀ is the initial mass, m(t) is the mass at time t, k is the decay rate parameter, and e is the base of the natural logarithm.

Given that the initial mass of the sample is 2.05 kg and the decay rate parameter is 4% per day, the formula becomes:

m(t) = 2.05 * e^(-0.04t).

To find the mass after four days, we substitute t = 4:

m(4) = 2.05 * e^(-0.04 * 4)

m(4) = 1.75 kg

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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

Answer:

2x-4=0

2x=-4

Step-by-step explanation:

2x-4=0

2x-4+4=0+4

2x/2=4/2

x=2

2x=-4

2x/2=-4/2

x=-2

2/x x 3/2x-5 rational expressions

Answers

Answer: To find the product of two rational expressions, we multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator.

So, (2/x) * (3/2x-5) = (2 * 3) / (x * (2x-5)) = 6 / (2x^2 - 5x)

Step-by-step explanation:

Mr Kai had some packets of salt. He sold 5/6 of the packets of salt and had 15 packets left. How many packets of salt did Mr Kai have at first?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{6}+\frac{5}{6}[/tex]

in here [tex]\frac{1}{6}= 15\\ \\so\\\\\frac{5}{6} =75\\\\\frac{1}{6} +\frac{5}{6}=\frac{6}{6} \\[/tex]

in this case it is 15+75=90

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