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Marina CMI [18]
3 years ago
15

- Mr. Sanders wants to display his American flag in a triangular case as shown below. 18.5 in What is the area of the triangular

case? A 60.5625 square inches B 61.2 square inches C 122-4 square inches D 11.45 square inches ON S​
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0

Answer:

The area of the triangular case = 61.2 square inches

Step-by-step explanation:

P.S - The exact question is -

Given - Mr. Sanders wants to display his American flag in a triangular case as shown below.

To find - What is the area of the triangular case ?

Proof -

Given that,

Base of triangle = 14\frac{2}{5}in

Height of triangle = 8.5 in

We know that,

Area of triangle = \frac{1}{2}*Base*Height

                          = \frac{1}{2}*8.5*14\frac{2}{5}

                          = \frac{1}{2}*8.5*14.4

                          = \frac{1}{2}*122.4

                          = 61.2

∴ we get

The area of the triangular case = 61.2 square inches

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what is the length of a picture frame whose width is 3 inches and whose proportions are the same as as a 9-inch wide by 15-inch
forsale [732]

Answer:

5"

Step-by-step explanation:

Set this up as a proportion: 3 is your constant of proportionality

3 / 5

9 / 15

3/5 x 3/3 = 9/15

3 0
4 years ago
WORTH 12 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP ASAP
IrinaK [193]

Answer:

\large\boxed{S.A.=1,000\ u^2}

Step-by-step explanation:

We have two congruent right triangles and three rectangles.

First, calculate the length of the hypotenuse using the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have

leg=8,\ leg=15,\ hypotenuse=h

Substitute:

h^2=8^2+15^2\\\\h^2=64+225\\\\h^2=289\to h=\sqrt{289}\\\\h=17

The formula of an area of a right triangle:

A_t=\dfrac{(leg)(leg)}{2}

Substitute:

A_t=\dfrac{(8)(15)}{2}=(4)(15)=60

The formula of an area of a rectangle:

A=wl

w - width

l - length

Rectangle 1:

w = 15, l = 22

A_1=(15)(22)=330

Rectangle 2:

w = 17, l = 22

A_2=(17)(22)=374

Rectangle 3:

w = 8, l = 22

A_3=(8)(22)=176

The Surface Area of the triangular prism:

S.A.=2A_t+A_1+A_2+A_3

Substitute:

S.A.=2(60)+330+374+176=1,000

8 0
3 years ago
Help me please???????
FrozenT [24]
Shape is a parabola.
6 0
3 years ago
Hector is making an art project by cutting and gluing fabric shapes to a wooden board. His design includes two similar triangles
spin [16.1K]

Answer:

Center of dilation origin, The scale factor is 4, The dilation mapping is (x, y)  → (4x,4y) and The image represents the shape of the triangle.

Step-by-step explanation:

Given Hector is making an art project by cutting and gluing fabric shapes to a wooden board. His design includes two similar triangles, with one 4 times the size of the other. He cuts the smaller fabric triangle and traces it onto grid paper. we have to tell how he can use the tracing to make a pattern for the larger fabric triangle.

Apply the center of dilation origin.

The scale factor is 4

The dilation mapping is (x, y)  → (4x,4y)

The image represents the shape of the triangle.

3 0
4 years ago
If a boat travels 3 miles in 1.5 hours how far will it travel in 2 hours?
Vladimir [108]

Answer:

It will travel 1 mile in 2 hours.

Step-by-step explanation:

First you will have to find the unit rate, which is how much miles does a boat travel in one hour. In  order to do that you do,

1.5 / 3

So then you will get 0.5 miles in one hour.

Then you find out how long it takes to travel in 2 hours. You do that by doing

0.5 * 2

So you will get 1 mile

So your final answer is, the boat will travel 1 mile in two hours.

4 0
3 years ago
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