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2 years ago

A square room has a floor area of 81 square meters. The height of the room is 5 meters. What is the area of one wall

Mathematics

1 answer:

VMariaS [17]2 years ago

4 0

Area of a square is side length ^2

To find the length of the side of a square from the area, that’s the square root of the area:

Length of side = sqrt(81) = 9 meters

Area of wall = length of side x height:

Area of wall = 9 x 5 = 45 square meters

Answer: 45 square meters

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Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16

ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: $a^2+b^2=c^2$

Thus:

$\sqrt{a^2+b^2}=c$

Option A:

$\sqrt{8^2+15^2}=17$ → 17 = 17 OK!

Option B:

$\sqrt{6^2+8^2} = 10$ → 10 ≠ 12 NO

Option C:

$\sqrt{9^2+11^2} = [tex]\sqrt{202}$ [/tex] → $\sqrt{202}$ ≠ 21 NO

Option D:

$\sqrt{4^2+13^2} = \sqrt{185}$ → $\sqrt{185}$ ≠ 16 NO

3 0

3 years ago

Suppose that the revenue function for a certain product is given by R(x) = 17(2x + 1)−1 + 34x − 17 where x is in thousands of un

REY [17]

Answer:

Step-by-step explanation:

Given that:

R(x) = $\frac{17}{2x+1}$ + 34x − 17

As we know that derivative of revenue function is marginal revenue function .

We will use following rules of derivative

=> dR/ dx = $\frac{-17*2}{(2x+1)^{2} } + 34$

=> R' (x) = $\frac{-34}{(2x+1)^{2} } + 34$

=> R '(2000) = $\frac{-34}{(2*2000+1)^{2} } + 34$ = 34

The revenue when 2000 units are sold is:

R(2000) = $\frac{17}{2*2000+1}$ + 34*2000 − 17 = $69,783

3 0

3 years ago

1. Refer to the equation 2x - 4y = 12

dem82 [27]

Answer: answer

Step-by-step explanation:

6 0

2 years ago

1. A company produces two types of nutritional supplements; Energize and Excel. Energize contains 26 mg of vitamin A, 42 mg of v

geniusboy [140]

Answer:

1)A) Minimize C = 40x + 100y.

2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.

3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.

Step-by-step explanation:

1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:

minimize cost = cost of energize pill + cost of excel pill

Minimize cost = 40x + 100y

2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.

7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:

7x + 8y≤ 190

5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:

5x + 4y ≤ 22

Also assemble time and mechanical time must be greater than 0, hence:

x ≥ 0, y ≥ 0

3) The fieldwork constraint can be represented as:

23x + 15y ≥ 154

The time to be spent at university research center can be represented as:

17x + 25y ≥ 140

Both fieldwork time and time spent at university research center mut be greater than 0, hence:

x ≥ 0, y≥ 0

The cost equation is:

Minimize cost = 295x + 416y

5 0

3 years ago

In two or more complete sentences write and solve an equation for the situation and explain how you will solve the equation. Aft

timurjin [86]

Grace weighed 167 pounds before she started her exercise program.

Step-by-step explanation:

Given,

Weight lost by Grace = 45 pounds

Weight of Grace after exercise weeks = 122 pounds

Let,

x represents the weight of Grace before she started the exercise program.

Loss means subtraction, therefore,

We will subtract the lost weight from original weight.

Original weight - Weight lost = Weight after exercise weeks

$x-45=122$

Adding 45 on both sides

$x-45+45=122+45\\x=167\ pounds$

Grace weighed 167 pounds before she started her exercise program.

Keywords: equation, addition

Learn more about addition at:

#LearnwithBrainly

5 0

3 years ago