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bagirrra123 [75]
2 years ago
9

Use a net to find the surface area of the right triangular prism shown below: A. 104 square feet

Mathematics
2 answers:
Phoenix [80]2 years ago
6 0
I'd say by rounding and similar techniques the answer is 468, though it doesn't say all the needed numbers.
MakcuM [25]2 years ago
6 0

Answer:  The correct option is (C) 468 sq. ft.

Step-by-step explanation:  We are given to use a net to find the surface area of the right-triangular prism shown in the figure.

Let us divide the net of the prism in three parts, a rectangle ABCD and two congruent right-angled triangles T_1 and T_2 as shown in the attached figure below.

From the figure, we note that

the length and width of the rectangle ABCD are as follows :

AD = 15 + 9 +12 = 36 ft

and

AB = 10 ft.

So, the area of the rectangle ABCD is given by

a_r=AD\times AB=36\times10=360~\textup{sq. ft}.

Now, the base of each right-angled triangle is 9 ft and altitude is 12 ft.

So, the total area of both the right-angled triangle will be

a_t=2\times\dfrac{1}{2}\times 9\times12=108~\textup{sq. ft}.

Therefore, the total surface area of the given right triangular prism is given by

A_s=a_r+a_t=360+108=468~\textup{sq ft}.

Thus, the surface area of the given right-triangular prism is 468 sq. ft.

Option (C) is CORRECT.

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Which is the slowest rate? a. 2,983 km in 5 hr
Eddi Din [679]

Answer:

C. 3,094 km in 12 hr

Step-by-step explanation:

we need to find kilometer per 1 hour so

2983/5=596.6 kilometers per hour

5,193/7= 741.857142857 km per hour

3,094/12=257.833333333 km per hour

1,784/3=594.666666667 km per hour

now which number is lowest

third one

Have a wonderful day! ask me if you have more questions

7 0
3 years ago
A rug is 4 m wide. How much is this in centimeters?
Crank
It's very simple
1m=100cm
4m=4×100=400cm
6 0
3 years ago
Read 2 more answers
Given the information in the picture, which trigonometric identity can be used to solve for the height of the blue ladder that i
Stells [14]

The trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is \rm sin=\dfrac{o}{h}.

We have to determine

Which trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building?.

<h3>Trigonometric identity</h3>

Trigonometric Identities are the equalities that involve trigonometry functions and hold true for all the values of variables given in the equation.

Trig ratios help us calculate side lengths and interior angles of right triangles:

The trigonometric identity that can be used to solve for the height of the blue ladder is;

\rm Sin47=\dfrac{50}{H}\\\\H=\dfrac{50}{sin47}\\\\H=68 feet

Hence, the trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is \rm sin=\dfrac{o}{h}.

To know more about trigonometric identity click the link given below.

brainly.com/question/1256744

6 0
2 years ago
Use the x-intercept method to find all real solutions of the equation. -9x^3-72x^2+36=3x^3+x^2-3x+8
larisa86 [58]

-9x^3-72x^2+36=3x^3+x^2-3x+8                     Add 9x^3 to both sides.

-72x^2 + 36 = 3x^3 + 9x^3 + x^2 - 3x + 8       Add 72x^2 to both sides

36 = 12x^3 +   73x^2 - 3x + 8                           Subtract 36 from both sides.

0 = 12x^3 + 73x^2 - 3x - 28      

It does factor, but it is not very nice.

(x + 6.06)(x - 6.09)(x + 0.632)

If there is any kind of error please report it in a note below.

6 0
3 years ago
Jake drew a scale drawing of a house. He used the scale 10 inches = 6 feet. What is the scale factor of the drawing?
Norma-Jean [14]

Answer:

5:36

Step-by-step explanation:

12 inches = 1 foot, so 6 feet = 72 inches

10:72, reduces to 5:36

4 0
2 years ago
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