Given:
The right triangular prism.
Height of prism = 28 in.
Hypotenuse of base = 25 in.
leg of base = 24 in.
To find:
The lateral surface area of the prism.
Solution:
Pythagoras theorem:

Using Pythagoras theorem in the base triangle, we get




The perimeter of the triangular base is:


Lateral area of a triangular prism is:

Where, P is the perimeter of the triangular base and h is the height of the prism.
Putting
in the above formula, we get


Therefore, the lateral area of the prism is 1568 in².
192 people were survey
Step-by-step explanation:
The given is:
- 85% of the people survey thought the price of the car wash was reasonable
- 164 people thought the cost of the car wash was reasonable
We need to find how many people were survey
Assume that x people were survey
∵ There were x people survey
∵ 85% of them thought the price of the car wash was reasonable
∴ The number of the people who thought the price of the car wash
was reasonable = 85% × x
∵ 85% =
= 0.85
∴ The number of the people who thought the price of the car wash
was reasonable = 0.85 x
∵ 164 people thought the cost of the car wash was reasonable
- Equate 0.85 x and 164
∴ 0.85 x = 164
- Divide both sides by 0.85
∴ x = 192.94
∵ x represents a number of people, then it must be integer
∴ The number of people were survey = 192
192 people were survey
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Answer:
- 2 cups ⇔ 16 fluid ounces
- 96 ounces ⇔ 6 pints
- 12 pints ⇔ 24 cups
- 4 quarts ⇔ 1 gallon
<em>Also see attached</em>
Answer:
I think is D
Step-by-step explanation:
Answer:
He can make only one batch of cookies.
Step-by-step explanation:
Just by mental math you can say he can make maximum one batch of cookies.
Total sugar = 10 cups
sugar used for lemonade = 2 cups
leftover sugar = 8 cups
For 1 batch of cookie sugar needed = 11/2
which means 5 and 1/2 cups
And he's just left with 8 cups of sugar after lemonade
8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch
That means the maximum number of cookies batches is 1.
Another way to solve it by inequality:
2+Il/2 X <u><</u> 10
11/2 X <u><</u> 8
11X <u><</u> 16
X <u><</u> 1 6/11
So he can make only one batch of cookies.