An 8-meter length connects the triangular front and back of a house roof. The base of the front
triangle measures 7.2 meters. Find the height of the roof's front and back if the volume inside th
roof is 144 cubic meters.
Area of base =
B = 3.6h
B = 1.8h
B = 4h

Answer:

115

Step-by-step explanation:

Answer:

Step-by-step explanation:

$86.50

Step-by-step explanation:

26-4=22

22/2 is 11

11+4=15

15+11=26

So Sarahs age is 15 and Joe's in 11.

Answer:

Joe = 11 y/o, Sarah = 15 y/o

Step-by-step explanation:

Equation: x+(x+4) = 26

Combined ages: 2x+4=26

2x=22

x=11

So, Joe is 11.

Sarah's age: 11+4

So, Joe is 11 and Sarah is 15.

The area of the plot planted with fruits is given as follows:

D) 100 m².

The area of a rectangle of length l and width w is given by the multiplication of these two dimensions, as follows:

A = lw.

The dimensions for the plot are given as follows:

l = 15, w = 12.

Hence the area is of:

A = 15 x 12 = 180 m².

80 m² is used to plant vegetables, hence the area used to plant fruits is given as follows:

180 - 80 = 100 m².

More can be learned about the area of a rectangle at https://brainly.com/question/25292087

#SPJ1

Nathan's salary is $48 and Will's salary which three times of Nathan's salary is $144.

What is salary?

An employment contract may include a salary clause as a type of recurring payment from an employer to an employee. In contrast, piece wages are paid separately for each job, hour, or other unit rather than on a regular schedule. Salary can also be seen from the perspective of operating a corporation as the expense of obtaining and keeping employees to carry out operations; this is known as a personnel expense or salary expense. Payroll accounts are used in accounting to record salaries.

It is given in the question that Will's salary is three times Nathan's salary.

So, lets assume that Nathan's salary is X it implies that Will's salary will be 3 times X = 3X

Together they earn $ 192.

So,

X + 3X = 192

4X = 192

X = 192/4

X = 48

Therefore, Nathan's Salary is $48

Since, Will's salary is 3 times of Nathan's salary,

So,

Will's salary = 3 (48) = 144

Therefore, Will's Salary is $144

To know more about salary calculation, go to link

https://brainly.com/question/24988098

#SPJ9

Answer:

Step-by-step explanation:

The sum of -1 3/4 and 2 1/2:

The difference between 2 1/2 and 1 3/4:

This is same as well as:

Answer:

\(yes...his \: \: statement \: \: is \: \: correct\)

Step-by-step explanation:

Sum of the given 2 numbers

\( - 1 \frac{3}{4} + 2 \frac{1}{2} \\ - \frac{7}{4} + \frac{5}{2} \\ - \frac{7}{4} + \frac{5 \times 2}{2 \times 2} \\ - \frac{7}{4} + \frac{10}{4} \\ \frac{ - 7 + 10}{4} \\ = \frac{3}{4} \)

Difference between the given 2 numbers

\(2 \frac{1}{2} - 1\frac{3}{4} \\ \frac{5}{2} - \frac{7}{4} \\ \frac{5 \times 2}{2 \times 2} - \frac{7}{4} \\ \frac{10}{4 } - \frac{7}{4} \\ \frac{10 - 7}{4} \\ = \frac{3 }{4} \)

So, It's clear to you that,

sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4.

Hope this helps you.

Let me know if you have any other questions :-):-)

To find the convolution \( y(t) = x(t) * h(t) \), we reverse and shift the impulse response, multiply it with the input signal, and integrate the product over the range of integration.

To find \( y(t) = x(t) * h(t) \), we need to perform a convolution integral between the input signal \( x(t) \) and the impulse response \( h(t) \).

The convolution integral is given by the equation:

\[ y(t) = \int_{-\infty}^{\infty} x(\tau) h(t-\tau) d\tau \]

Here are the steps to find the convolution \( y(t) \):

1. Reverse the time axis of the impulse response \( h(t) \) to obtain \( h(-t) \).

2. Shift \( h(-t) \) by \( t \) units to the right to obtain \( h(t-\tau) \).

3. Multiply \( x(\tau) \) with \( h(t-\tau) \).

4. Integrate the product over the entire range of \( \tau \) by taking the integral \( \int_{-\infty}^{\infty} \) of the product \( x(\tau) \cdot h(t-\tau) \) with respect to \( \tau \).

5. The result of the convolution integral is \( y(t) \).

The convolution integral represents the output of the system when the input signal \( x(t) \) is passed through the system with impulse response \( h(t) \).

Learn more about Integrate here:
brainly.com/question/31954835

#SPJ11

Answer:

see explanation

Step-by-step explanation:

A

∠ UVX and ∠ WXV are alternate angles and are congruent , then

∠ UVX = ∠ WXV = 15°

∠ WVU = ∠ WVX + ∠ UVX = 24° + 15° = 39°

B

opposite sides of a parallelogram are congruent , then

UV = XW = 36

C

consecutive angles are supplementary , sum to 180° , then

∠ XUV + ∠ WVU = 180° , so

∠ XUV + 39° = 180° ( subtract 39° from both sides )

∠ XUV = 141°

D

diagonals bisect each other , so

YW = UY = 10

The locations on the function's graph that are most near the specified point f(x) = x2, (0,9) are approximately 3 units to the right and left, respectively, or (sqr8.5, 8.5).

The initial estimate would be rough to the right and left by around 3 units, or (sqr8.5, 8.5), rounded to the nearest decimal place.

Visually, it is most likely just below y=9 and just below x=3. Additionally, roughly (-3, 9) slightly lower than 3 and 9

Connect the parabola's nearest point to the point at (0,9). Where the two intersect, its slope is the negative inverse of the parabola's slope. The derivative's slope is 2x for the equation f(x) = x2. -1/2x is its inverse negative. The line from (0,9) to the parabola's nearest point has a slope that is perpendicular to the tangent to the parabola at that location.

Get the equation of the line joining (0,9) and the nearest point (x,y) on the parabola using the point-slope formula: 8.5 or y=-1/2 + 9 = (-1/2x)(x)

The closest point's y coordinate is that. The square root of 8.5, including both positive and negative square roots, is the closest point's x coordinate (-sqr8.5, 8.5)

Sqr8.5 =\(\sqrt{8.5}\), or approximately 2.91 or -2.91

The process entails finding the equation for the line connecting (0,9) with the parabola's nearest point and then setting the two equations equal. Set the line equation to y=(-1/2x), the parabola equation. The parabola equation is y=\(x^{2}\) and the line equation is x + 9.

Equalize them, then find x using the square of the result. The closest point is at x,y. There are two places that are equally far from (0,9), both of which are as close as they can be to 3 at (3,9). (0,9). At the parabola point, that line is not perpendicular to the tangent line (3,9). The line must be perpendicular to the tangent line, which is the slope of the parabola, in order to be closest.

To learn more about parabolas, refer:-

https://brainly.com/question/4074088

#SPJ4

Answer:

No

Step-by-step explanation:

Look at the shape a polygon is 5 sides while a trapezoid has only 4 sides

Answer:

No. :) Reason: Trapezoids have to have at least on pair of parallel lines; this polygon has none.

The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

Learn more about reference triangle here

brainly.com/question/30362949

#SPJ11

If we make f the subject of the formula, then f = (3 + 4d)/(3 + d)

We are given a formula in which d = 3(1 - f)/(f - 4). We have to make f the subject of the formula. To make a variable the subject of the formula, we isolate it to the left-hand side of the equation with no other variable written along with it.

So, in this question, we will isolate f on the left-hand side of the equation and we will make f the subject of the formula. We are given that

d = \(\frac{3(1-f)}{f - 4}\)

When we cross-multiply this equation, we get

d(f -4) = 3(1 -f)

fd - 4d = 3 - 3f

Combine all the terms having variable f to the left-hand side.

fd + 3f = 3 + 4d

f( d + 3) = 3 + 4d

f = \(\frac{(3 + 4d) }{(3 + d)}\)

Therefore, by making f the subject of the formula, we get

f = (3 + 4d)/(3 + d)

To learn more about the subject of the formula;

https://brainly.com/question/29401399

#SPJ1

As per direct variation,

Part A) Decorators fee is $198.132

Part B) Tax for the purchase is $71.10

Part C) The total amount spend by the family is $1849.232.

Direct variation:

Direct variation depicts a simple relationship between two variables . We say y varies directly with x if:

y=kx

for some constant kk , called the constant of variation or constant of proportionality. Which means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.

Given,

A family used a professional decorator to furnish their new home.

The decorator selected $1,580 worth of furnishings for their home.

The payment will be made by the family for the furnishings, plus 4.5% tax on the purchases.

The decorator’s fee was 12% of the furnishings , excluding the tax.

Here we need to find the following:

Part A) Decorator's fee

Part B) Tax amount

Part C) Total cost.

We know that, the decorator’s fee was 12% of the purchases.

So, the equation is then be calculated as:

y = kx

where,

y = decorators fee

k = percentage of decorators fee for the purchases

x = amount paid

y = 12% × $1651.10

= 0.12 × $1651.10

Therefore, the decorators fee is $198.132

Decorator selected furnishings cost = $1,580.

Tax = 4.5%

Decorator’s fee = 12% of the purchases.

So, it can be calculated as,

Tax = 4.5% × 1580

Tax = 0.045 × 1580

Therefore, the tax for the purchase is $71.10

Amount paid = 1580 + 71.10 = 1651.10

Now, the total amount paid by the family is,

=> purchase amount + decorator fee

=> 1651.10 + 198.132

=> 1849.232

Therefore, the total amount spend by the family is $1849.232.

To know more about Direct variation here.

https://brainly.com/question/14254277

#SPJ1

Inequality shows a relationship between two numbers or two expressions.

The solution for the inequality is x ≤ -2.

The graph is given below.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

Example:

2x > 4

We have,

x + 7 ≤ 5

Subtract 7 on both sides we get,

x + 7 - 7 ≤ 5 - 7

x ≤ -2

This inequality can be graphed as given below:

x is equal and less than -2.

Thus,

The solution for the inequality is x ≤ -2.

The graph is given below.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ1

Answer:

1. 42

2. 77

3. 87.75

4. 117

5. 119

6. 89.25

7. 39

8. 58.5

9. 218.75

Good Luck!

Answer:

Step-by-step explanation:

1: 47.25

2: 77

3:87.75

4:117

5:119

6:89.25

7:39

8:58.5

9:218.75

Answer:

1 : 3

Step-by-step explanation:

150 : 450 ( divide both parts by 150 )

= 1 : 3

Answer:

Step-by-step explanation:

Answer:

£340

Step-by-step explanation:

100%-15%=85%

£400x85/100

=£34000/100

=£340#.

Step-by-step explanation:

15%=15/100=0.15

400-0.15=£399.85

Answer:

the answer is twenty four

Answer:

the picture is black, pls retake

Step-by-step explanation:

4/5% of 192 is approximately 1.536. The best estimate among the given answer choices is A. 2, which is the closest whole number to the actual value.

To find 37% of 293, we can start by using a proportion. We can set up the proportion as follows:

37/100 = x/293

To solve for x, we can cross-multiply and simplify:

37 x 293 = 100 x

x = 10841/100 ≈ 108.41

So, 37% of 293 is approximately 108.41. The best estimate among the given answer choices is B. 120, which is close to the actual value but slightly overestimated.

To find 4/5% of 192, we can first convert 4/5% to a decimal by dividing by 100:

4/5% = 4/5 ÷ 100 = 0.008

We can then multiply 0.008 by 192 to get the answer:

0.008 x 192 = 1.536

So, 4/5% of 192 is approximately 1.536. The best estimate among the given answer choices is A. 2, which is the closest whole number to the actual value. The other answer choices are too high and would overestimate the value.

For more such questions on estimation

https://brainly.com/question/1644997

#SPJ4

Answer:

There are 192 employees in the company.

Step-by-step explanation:

Let x be the total number of employees

Use ratio and proportion

\(\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192\)

x = 192

Answer:

(1,8)

Step-by-step explanation:

The Y coordinated does up and down so 1+7=8

Answer:

4.16

Step-by-step explanation:

4.16

because thousanth is 5

Answer:

My net wroth would have changed by $800

Step-by-step explanation:

Because $3,100 - $2,300 = $800

Angle ∠C and angle ∠E are supplementary angles. Then the correct option is B.

The sum of the supplementary angle is 180 degrees.

The sum of two acute angles will be less than 180 degrees.

Similarly, the sum of two obtuse angles is more than 180 degrees.

The addition of angle ∠C and angle ∠E is calculated as,

∠C + ∠E = 61° + 119°

∠C + ∠E = 180°

The addition of angle ∠C and angle ∠E is 180°. Thus, the correct option is B.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

In two factor ANOVA, an F ratio is calculated for each different sum of squares.

Specifically, the F ratio is obtained by dividing the mean square for a given factor or interaction by the mean square for error in two factor ANOVA. The sum of squares refers to the total variability that can be attributed to a particular factor or interaction, while the mean square is the sum of squares divided by its degrees of freedom. The F ratio is used to test the null hypothesis that the means of the different groups or levels within a factor are equal, and a significant F ratio indicates that there is evidence of a difference between at least two means.

ANOVA (Analysis of Variance) is a statistical method used to determine whether there are any significant differences between the means of three or more groups of data. ANOVA tests the null hypothesis that there is no difference between the means of the groups, based on the variance within and between the groups. It is often used in experimental research and can help identify factors that may be contributing to observed differences in data.

Learn more about ANOVA here:

https://brainly.com/question/31809956

#SPJ11

Answer:

x = -0.69

Step-by-step explanation:

We can get this by writing the equation in the logarithmic form to base e

We have this as;

log e 0.5 = x

x = ln 0.5

x = -0.69315

To two decimal places, this is -0.69

Answer:

red

Step-by-step explanation: