Answer:

Step-by-step explanation:
- By using trigonometric ratios

Answer:
2) 360 square inches
Step-by-step explanation:
First of all we have to verify that the base triangle is a right triangle
For this we use Pythagoras
h² = l1² + l2²
13² = 12² + 5²
169 = 144 + 25
169 = 169
Equality is fulfilled by what is a right triangle
Now we need to calculate the area of the triangle
a = (12 in * 5 in) / 2
a = 60in² / 2
a = 30in²
Now we have to calculate the 3 areas of the rectangles
a1 = 10in * 13 in
a1 = 130in²
a2 = 10 in * 12 in
a2 = 120in²
a3 = 10 in * 5 in
a3 = 50in²
Now we must add all the calculated areas and the triangle 2 times
a1 + a2 + a3 + 2a =
130in² + 120in² + 50in² + 2 * 30in²
360in²
The surface area of the prism is 360in²
Answer:
194.65
Step-by-step explanation:
<span>A
gardener has 27 pansies and 36 daises. He planted equal parts of each flowers.
Now we need to find the value of flowers did the gardener planted.
If you’re looking for the greatest number of flowers planted in a row.
We can have 27 pansies and 27 daises.
However, if we want to plant all flowers we can have:
3 rows of pansies with 9 flowers = (3 x 9) = 27
4 rows of daises with 9 flowers = (4 x 9) = 36</span>
Answer: The family's weekly income is $1500
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Work Shown:
x = weekly income (in dollars)
16% of x = amount spent on food per week
16% of x = 240
(16/100)*x = 240
0.16*x = 240
0.16*x/0.16 = 240/0.16
x = 1500