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pav-90 [236]
1 year ago
14

Find the length of one edge of a cube if its lateral surface area is 144 square centimeters. a. 4 cm b. 8 cm c. 6 cm d. 3 cm

Mathematics
1 answer:
Igoryamba1 year ago
6 0

The length of one edge of the cube exists 6 centimeters.

<h3>What is the lateral surface area of a cube?</h3>

The lateral surface area of a cube exists

$A=4 a^{5}$

where a stands the length of one edge of a cube.

It exists given that the lateral surface area of the square stands at 144 square centimeters.

Substitute A = 144 in the above formula.

$144=4 a^{2}

Divide both sides by  4.

$36=a^{2}

Taking square root on both sides.

$\sqrt{36}=\sqrt{a^{2}}

6 = a

The length of one edge of the cube exists 6 centimeters.

Therefore, the correct answer is option c. 6 cm.

To learn more about lateral surface area of a cube refer to:

brainly.com/question/28162298

#SPJ4

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In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let x,\ x\ge 0 be the number of students and y,\ y\ge 0 be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

15x+25y\ge 3,750

2. The auditorium can accommodate up to 180 spectators, hence

x+y\le 180

3. We get the system of inequalities:

\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise \$(15\cdot 50+25\cdot 125)=\$3,875

8 0
3 years ago
3. Here is a list of exam scores for Mr. Kraft's calculus class:
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Answer

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Step-by-step explanation:

I think the answer is 15% because when we talk about percentile, we are actually subtracting from 100% in simpler terms. If we say a 85th percentile, it actually means 15%.

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4 years ago
Kevin drew a triangle with angle measures of 30 degrees and 40 degrees and side measures of 5 cm, 7cm, and 8 cm. Explain, using
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Answer:  

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Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Can you help please? It would be helpful.
steposvetlana [31]

Answer:

660 square feet

Step-by-step explanation:

1 chain = 66 feet

Length ( l ) = 66 feet

Breadth ( b ) = 10 feet

To find :

The area of a cricket pitch in square feet = ?

The area of a cricket pitch in square feet will be in the shape of rectangle.

Formula : -

Area of a rectangle = lb

Area of a rectangle

= 66 x 10

= 660 square feet

Therefore,

660 square feet is the area of a cricket pitch.

8 0
3 years ago
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