What is the surface area of the triangular prism? A triangular prism. The rectangular sides are 20 feet by 3 feet, 20 feet by 4 feet, and 20 feet by 5 feet.

Answers

Answer 1

Answer:

Answer:

252 ft²

Step-by-step explanation:

A triangular prism has three rectangles and two triangles, to find the surface area, first find the surface area of thee rectangles and then the surface area of the triangles. After that add all the surface area.

For rectangle 1, surface area = 20 × 3 = 60 ft²

For rectangle 2, surface area = 20 × 4 = 80 ft²

For rectangle 3, surface area = 20 × 5 = 100 ft²

The triangle has height, base and hypotenuse. 5 ft is the hypotenuse and the height and base are 3 ft and 4 ft.

5² = 3² + 4²

For the triangle, the surface area = 1/2 × base × height = 1/2 × 3 × 4 = 6 ft²

Total surface are = 60 + 80 + 100 + 2(6) = 252 ft²

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Can someone help? This is sooooo hard!!

Answers

Answer:

$(-7, -6)$

Step-by-step explanation:

Use the definition of midpoint:

$M=((x_(1)+x_(2) )/(2),(y_(1)+y_(2) )/(2) )$

And replace the known values in:

$(-1, -2)=((5+x_(2) )/(2), (2+y_(2) )/(2) )\n(-7, -6)=(x_(2) , y_2)$

Short and neat :)

What is the value of x, given that modifying above upper P upper Q with bar parallel to modifying above upper B upper C with bar ? The figure is triangle A B C with a segment from point P on segment A B to point Q on segment A C. Segment A P equals 9. Segment P B equals 18. Segment A Q equals x. Segment Q C equals 10.

Answers

After addressing the issue at hand, we can state that As a result, the equation value of x is roughly 10.57 units (rounded to two decimal places).

What is equation?

An equation is a mathematical proclamation that proves the equality of two expressions capable of connecting through an equal sign '='. For instance, 2x - 5 = 13. Explanations include 2x-5 and 13. The '=' symbol links up the two expressions. A mathematical formula containing two formulas on either side of a =) (=) is known as an equation. It depicts the equivalence relationship between left and right methodologies. L.H.S. = R.H.S. (left edge = top half) in any formula.

Using the information provided, we can construct the following equation based on the concept of similar triangles:

x/(9+18) = 10/(BC) (BC)

9 + 18 = 27 = AB = AP + PB

Because triangle ABC is a right triangle (angle B is 90 degrees), we can apply the Pythagorean theorem to calculate the length of segment BC:

BC2 = AB2 - AC2 BC2 = 272 - 102 BC2 = 649 BC = sqrt (649)

When we plug this value into our original equation, we get:

x/(9+18) = 10/sqrt (649)

When we simplify, we get:

x/27 = 10/sqrt (649)

When we multiply both sides by 27, we get:

x = 270/sqrt (649)

As a result, the value of x is roughly 10.57 units (rounded to two decimal places).

To know more about equation visit:

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A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $135 for 100 minutes of usage and $375 for 500 minutes of usage. An equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph of y against x?Draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 0.6
Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6
Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 1.67
Draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 1.67

Answers

Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6

The ordered pairs are: (100, 135) and (500, 375)

The first number is the number of minutes of usage and the second number is the charge of the month.

The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6

Answer:

Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6

Step-by-step explanation:

Data

x: total minutes used

y: total monthly charges

x | y

100 | $135

500 | $375

That can be expressed as coordinates (x, y), so the points are (100, 135) and (500, 375).

The slope is computed with two points (x2, y2) and (x1, y1) as follows:

slope = (y2 - y1)/(x2 - x1)

Replacing with data

slope = (375 - 135)/(500 - 100) = 0.6

An insurance agent can earn 10% in commission on auto insurance policies. If an insurance agent quoted you $1,200 annual premium for your car insurance, how much would the agent earn?

Answers

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The minimum monthly payment for adeline's credit card is 2.5% of her balance or $30, whichever is higher. if adeline's balance at the end of her last billing cycle was $1550, what is her minimum monthly payment?