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MissTica
3 years ago
6

2. A triangular prism has a base area of 27 square inches and a height of 13 inches. What is the

Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

Answer:

A.)351 cubic inches

Step-by-step explanation:

The computation of the volume of the prism is shown below:

As we know that

Volume of the prism is

= Base × height

= 27 square inches × 13

= 351 cubic inches

hence, the first option is correct

And, the rest of the options are wrong

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Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.
fgiga [73]

Step-by-step explanation:

\triangle HFM \sim \triangle PST... (Given) \\\\\therefore   \frac{HF}{PS}  =  \frac{FM}{ST}  =  \frac{HM}{PT}...(csst) \\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{45}{9}\\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{5}{1} \\  \\ \therefore  \frac{30}{PS}  =  \frac{5}{1} \\  \\ \therefore PS =  \frac{30}{5} \\  \\\boxed{ \therefore PS =  6 }\\  \\  \because \: \frac{35}{ST}  =  \frac{5}{1} \\  \\  \therefore \: ST = \frac{35}{5}  \\  \\    \boxed{\therefore \: ST = 7} \\  \\ perimeter \: of \: \triangle PST  \\ = 9 + 7 + 6 \\  = 22 \: units

4 0
3 years ago
State the name of the property illustrated below.
ivanzaharov [21]

Answer:

Step-by-step explanation:

This is the associative property for addition. In informal language, it says under addition, the order of the addition is not critical.

8 0
3 years ago
What square root is closest to 5
nikklg [1K]

Answer: 2.236

Step-by-step explanation: The square root of 5 is expressed as √5 in the radical form and as (5)½ or (5)0.5 in the exponent form. The square root of 5 rounded up to 5 decimal places is 2.23607. It is the positive solution of the equation x2 = 5.

7 0
3 years ago
Pizzeria Napoli sells a round pizza with diameter 16 inches and a square pizza with side length 15 inches. Which of the two shap
zavuch27 [327]

Answer: Square, 24 square inches

Step-by-step explanation:

Given

Diameter of round pizza d=16\ in.

Side of square pizza a=15\ in.

Area of circle \pi r^2

The area of a square is a^2

\therefore \text{Area of round Pizza}=\pi \times (\frac{16}{2})^2\\\Rightarrow A_1=\pi \times 8^2=201.088\ in.^2

The area of square pizza is

A_2=15^2=225\ in.^2

Clearly, the area of square pizza is more and the difference in their area is

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6 0
3 years ago
for these scenarios, write equations or inequalities that reflect the relationship. The minimum number of hours required to rent
IgorLugansk [536]

Answer:

100 + 35x \geq 280 is the inequality that reflect the relationship.

Step-by-step explanation:

Given:

Charge for rental =   $100

Additional charge =  $ 35

Minimum amount that can be spent =  $280

To Find:

equations or inequalities that reflect the relationship = ?

Solution:

Let x be the minimum number of hours

then the charge will  be

100  + (number of hours)(additional cost per hour)

That is

100 + 35x

Now the minimum charge amount is $280 So, The charge can be 280 or more than 280

100 + 35x \geq 280

3 0
3 years ago
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