Answer:
The answer to your question is Triangle's area = 520 in², Square's area = 576 in²
Step-by-step explanation:
Process
1.- Calculate the area of the triangle
-Find the length of the base using the Pythagorean theorem
c² = a² + b²
-Solve for b²
b² = c² - a²
-Substitution
b² = 37² - 35²
-Simplification
b² = 1369 - 1225
b² = 144
b = 12 in
-Find the base
base = 2(12) = 24 in
-Find the area of the triangle
Area = base x height / 2
-Substitution
Area = 24 x 35 / 2
-Simplification
Area = 420 in²
2.- Find the area of the square
Area = side x side
-Substitution
Area = 24 x 24
-Result
Area = 576 in²
Answer:
-7
Step-by-step explanation:
Lets assume the number Peggy is thinking of be "x".
Now as given, when twice the number is added to three times one more than the number. We can write it as
∴
--- Equation 1
Again, it is given that Peggy gets the same result as when she multiplies four times one less than the number.
∴
-- equation 2
Next, we can equate both the equation 1 and 2 as it is given that result is same.

Let´s distribute 3 into
and 4 into 
⇒ 
⇒ 
Subtract both side by 4x and 3
∴ 
∴ Peggy was thinking of -7
Check the picture below.
the volume of a rectangular prism is just the product of its 3 dimensions, so the volume of those two there is 4*9*6 and 3*6*5.
so the volume for the composite figure is just the sum of those two products.
Answer:

Step-by-step explanation:

Multiply 8 with 2h and 1
