Answer:
A
Step-by-step explanation:
We can find the surface area of the object by adding the surface areas of each part. We have many rectangle faces to count and two triangular faces. Each has a formula for the area. We will find the area of each and then add them all together.
Triangle - 0.5 *b*h
Rectangle - b*h
<u>Triangles</u>
There are two triangles on either side. The height is 1.5. The base is 1.8.
0.5(1.5)(1.8)=1.35 meters squared
Since there are two, we will add 1.35+1.35 in our final calculation.
<u>Rectangles</u>
We will start by calculating the largest rectangle on the side. It has height of 4 and a base of 2.5 (shown above left).
4(2.5)=10
Since there are two (one we can see and one we can't), we will add 10+10 in our final calculation.
Next we calculate the top and bottom. The height is 3 and the base is 2.5 on top. But the bottom sticks out more and adds 1.8 to its base.
Top - 3(2.5)=7.5
Bottom-3(2.5+1.8)=12.9
Finally, we will calculate the front side and back(not visible) as well as the slant up front. The back side has height 4 and base 3. The front side has base 3 and height 4-1.5=2.5. The slant has base 2.3 and height 3.
Back - 4(3)=12
Front- 3(2.5)=7.5
Slant - 3(2.3)=6.9
We add all together for the total surface area: 1.35+1.35+10+10+7.5+12.9+12+7.5+6.9=69.5 meters squared.
Answer:
We need an image of the square.
Step-by-step explanation:
Okay so we have
$1.60 x .10 = .16
1.60 - .16 = $1.44
so
1.44 x 4 = $5.76
1.44 / 2 = .72
$5.76 + .72 = $6.48
so your answer is $6.48 [B]
Answer:
C. 42 yards
Step-by-step explanation:
You may recognize this as a 3-4-5 right triangle with a scale factor of 14. The two given sides are 5·14 = 70 and 4·14 = 56. Then the missing side is 3·14 = 42.
If not, you can use the Pythagorean theorem in the usual way:
... hypotenuse² = leg1² +leg2²
... 70² = 56² +leg2²
... leg2 = √(70² -56²) = √1764 = 42 . . . . yards
The cable is anchored 42 yards from the base of the tower.
