Answer: 136 square feet
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Explanation:
The front face is a triangle with base 6 and height 4.
The area is 0.5*base*height = 0.5*6*4 = 12 square feet
The back face is also 12 square feet since the front and back faces are identical triangles.
So far we have 12+12 = 24 square feet of surface area.
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The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.
To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.
This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.
So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.
Answer:
13.5
Step-by-step explanation:
Similar = alike but not the same
A lot of times in geometry it would mean that they have the same shape, just different size, so first find the ratio:
6/12 = 1/2
27 * 1/2 = 27/2 = 13.5
Answer:
Step-by-step explanation:
<u>The first equation:</u>
<u>The second equation:</u>
<u>Convert to slope-intercept form:</u>
- x + 2y = 23 ⇒ 2y = -x + 23 ⇒ y = -1/2x + 11.5
- 2x + 3y = 39 ⇒ 3y = -2x + 39 ⇒ y = -2/3x + 13
<em>The graph is attached</em>
<u>Intersection point is (9, 7)</u>
- Adult tickets cost $9
- Child tickets cost $7
It would travel 65 times 4 = 260 miles