Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC = 
= 
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base = 
= 
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
Answer:
Hi there!
Your answer is:
It will take 2.2 months for both gyms to be the same amount of money!
Step-by-step explanation:
Fitness 19:
39+ 17x
Anytime Fitness:
50+ 12x
Put them equal to each other:
39+17x = 50+12x
-12x
39+5x = 50
-39
5x = 11
/5
x= 2.2 months
39+17(2.2)= 76.4$
50+12(2.2)= 76.4$
Hope this helps!
Answer: 
or 
Step-by-step explanation:
The complete exercise is: "A chicken salad recipe calls for 
pound of chicken per serving . How many pounds of chicken are needed to make 
serving".
You can convert the Mixed number to a Decimal number. Divide the numerator 1 by the denominator 2 and then add the quotient to the Whole number. Then, you get:
Now divide the numerator 1 by the denominator 8 to write the fraction to a Decimal number. Then:
Let be "x" the amount of pounds are needed to make serving.
Then, you can set up the following proportion:
Solving for "x", you get:
or
This is a 45-45-90 triangle and the ratios of the sides are 1 : 1 : sqrt2 where sqrt2 is the length of the hypotenuse ( longest side)
So the measure of x = 12 sqrt2 which is the first choice.
<span>A peer-viewed article. </span>
