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2 years ago

Identify the lateral area and surface area of a regular triangular pyramid with base edge length 6 cm and slant height 13 cm.

Mathematics

1 answer:

Law Incorporation [45]2 years ago

6 0

The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters

<h3>How to determine the lateral area?</h3>

The given parameters are:

Base length (b) = 6
Slant height (l) = 13

The lateral area is calculated using:

Lateral = 0.5 * (Perimeter of base) * Slant height

This gives

Lateral = 0.5 * (3 * 6) * 13

Evaluate

Lateral = 117

Hence, the lateral area is 117 square centimeters

<h3>How to determine the surface area?</h3>

The surface area is calculated using:

Surface = l²√3

This gives

Surface = 13² * √3

Evaluate

Surface = 292.72

Hence, the surface area is 292.72 square centimeters

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Which side lengths form a right triangle 30 POINTS!! I DONT HAVE MUCH TIME

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Answer:

To solve this problem, we can use Pythagorean theorem, it tells us that the square of the hypotenuse is equal to the sum of the square of the other two sides.

When we look at these side lengths, we can see that only the second answer is suitable because from the lengths, we can predict that 13 is the length of the hypotenuse, 5 is the length of the shorter leg and 12 is the length of the other leg, and when you actually calculate it, the result is correct as well:

5² + 12² = 25 + 144 = 169

13² = 169

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3 years ago

Read 2 more answers

Solve the equation by completing the square. Round to the nearest hundredth if necessary.

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Answer

Step-by-step explanation:

(reorder terms)

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3 years ago

You order seventeen burritos to go from a Mexican restaurant, seven with hot peppers and ten without. However, the restaurant fo

Kisachek [45]

Answer:

$P=0.369$

Step-by-step explanation:

In this binomial probability case, the success is to pick a burrito with hot peppers, there are 7 out of 17, the probability is p=7/17=0.4118. The formula is

$P=_nC_kp^k(1-p)^{n-k}$

Where n is the number of burritos taken at random, k is the number of success (burrito with hot peppers), p is the probability of success. $_nC_k$ denotes the number of combinations and its formula is:

$_nC_k=\frac{n!}{k!(n-k)!}$

At least two burritos have hot peppers means having two or three burritos, these two cases are calculated and sum to get the probability of at least two burritos that have hot peppers.

$P=_nC_kp^k(1-p)^{n-k}=\frac{n!}{k!(n-k)!}p^k(1-p)^{n-k}$

$P_2=\frac{3!}{2!(3-2)!}(0.4118)^2(1-0.4118)^{3-2}=\frac{3\times2!}{2!1!} (0.1696)(0.5882)^1\\P_2=3 (0.1696)(0.5882)=0.2993$

$P_2=\frac{3!}{3!(3-3)!}(0.4118)^3(1-0.4118)^{3-3}=\frac{1}{0!} (0.0698)(0.5882)^0\\P_2=1 (0.0698)(1)=0.0698$

$P=P_2+P_3=0.2993+0.0698=0.3691$

Round to three decimal places: P=0.369

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4 years ago

A school club had a T-shirt sale to raise money. After the sale, an inventory showed that 108 blue T-shirts and 96 green T-shirt

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Answer:

Step-by-step explanation:

a table must have 108 blue shirts in total and 96 green shirts

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3 years ago

I need the volume and surface area

MatroZZZ [7]

Answer:

Volume: V≈113.1

Step-by-step explanation:

Solved for sphere

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Formula: V=43πr3

Volume: V≈113.1

1: R is the radius meaning calculate the radius to find the volume of a sphere.

2: The correct answer is below for this question.

Answer: V≈113.1

<em><u>Hope this helps.</u></em>

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3 years ago