Solution:
<u>First, let's find the surface area of the triangular prism.</u>
- 2(1/2 x 8 x 12) + 2(10 x 6) + (12 x 6) = Surface area of triangular prism
- => (8 x 12) + 2(60) + (72) = Surface area of triangular prism
- => (96) + 120 + 72 = Surface area of triangular prism
- => 96 + 192 = Surface area of triangular prism
- => 288 ft² = Surface area of triangular prism
<u>Now, let's find the surface area of the rectangular prism.</u>
- 2(18 x 9) + 2(6 x 9) + 2(6 x 18)
- => 2(162) + 2(54) + 2(108)
- => 324 + 108 + 216
- => 2(324) = 648 ft²
<u>Now, add both the surface areas to find the surface area of the figure.</u>
- 288 + 648 = Surface area of figure
- => 936 ft² = Surface area of figure
The surface area of the figure is 936 ft².
Answer:
it must be yes!
Step-by-step explanation:
Let
A------> <span>(1, 4)
B------> (6, 4)
C-----> (6,1)
we know that
In </span><span>a right triangle there are two legs and one hypotenuse
</span><span>
step 1
find the distance AB
d=</span>√[(y2-y1)²+(x2-x1)²]------> d=√[(4-4)²+(6-1)²]-----> d=√25----> 5
AB=5 units
step 2
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]------> d=√[(1-4)²+(6-6)²]-----> d=√9----> 3
BC=3 units
step 3
find the distance AC
d=√[(y2-y1)²+(x2-x1)²]------> d=√[(1-4)²+(6-1)²]-----> d=√34----> 5.83
AC=5.83 units
therefore
the two legs are
AB=5 units
BC=3 units
the hypotenuse is
AC=5.83 units
the answer is<span>
the length of the longer leg is AB=5 units
</span>
see the attached figure
I think the answer is 2/3. I’m not too sure but because there are 9 possible outcomes and 6 of them include burgers or salads, the fraction becomes 6/9. Reduce it (divide both numbers by 3) and you get 2/3.
The square root of 140 is 11.83, so no 10.7 is not approximate.