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Brilliant_brown [7]
3 years ago
13

Is this correct I need to know before I turn it in

Mathematics
2 answers:
AVprozaik [17]3 years ago
8 0
Yes, all your answers are correct!
bezimeni [28]3 years ago
4 0
Yes it’s all correct
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A cricular arena is lit by 5 lights equally spaced around the perimeter of the arena. What is the measure of each angle formed b
Kitty [74]

Answer:

108°

Step-by-step explanation:

Suppose that circle with center A is a circular arena. Points B, C, D, E and F are 5 lights. These 5 points form regular pentagon (because these 5 lights are equally spaced around the perimeter of the arena).

The sum of all interior angles of pentagon can be calculated using following formula

(n-2)\cdot 180^{\circ},\\ \\(5-2)\cdot 180^{\circ}=3\cdot 180^{\circ}=540^{\circ}

All interior angles in regular pentagon are of equal measure, so

\dfrac{540^{\circ}}{5}=108^{\circ}

Thus, the measure of each angle formed by the lights on the perimeter is 108°.

7 0
4 years ago
While evan and sam are fishing 12kms from shore, their boat springs a leak, and water comes in at a constant rate of 3 gallons p
aev [14]

Based on the calculations, the slowest rate is equal to 4 gallons per minute.

<u>Given the following data:</u>

  • Distance from shore = 12 km.
  • In-rate = 3 gallons per minute.
  • Rowing rate = 24 km per hour.

<h3>How to calculate the slowest rate.</h3>

Let's assume the boat would sink if it takes in more than 20 gallons of water.

<u>Conversion:</u>

  • 24 km/h to km/min = \frac{24 }{60} = 0.4 km/min.

Translating the word problem into an algebraic expression, we have;

\frac{12}{0.4} \times 3 - \frac{12}{0.4} \times x\geq 30\\\\\frac{36}{0.4}-\frac{12x}{0.4} \geq 30\\\\90-\frac{12x}{0.4} \geq 30\\\\\frac{12x}{0.4} \geq90+30\\\\\frac{12x}{0.4} \geq120\\\\12x \geq120 \times 0.4\\\\12x \geq 48\\\\x\geq 4

Therefore, the slowest rate is equal to 4 gallons per minute.

Read more on distance here: brainly.com/question/10545161

8 0
3 years ago
Please help ASAP
ziro4ka [17]

for the first one the answer is b. constant

and the for the second one b. term and product


7 0
3 years ago
If a cube has a side length of 4 1/2 cm, what is one way to write the volume of the cube?
lapo4ka [179]

Answer:

4.5^3 because we know v=lwh. since its a cube l, w, h will all equal 4.5

8 0
4 years ago
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu
notsponge [240]

The monthly cost for 17 hundred of cubic feet is $52.13.

<h3>What is a linear equation?</h3>

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the bill paid for x HCF of water.

The slope is 1.45, hence m = 1.45.

The monthly cost for 13 HCF is $46.33, hence:

46.33 = 1.45(13) + b

b = 27.48

y = 1.45x + 27.48

For 17 HCF:

y = 1.45(17) + 27.48 = 52.13

The monthly cost for 17 hundred of cubic feet is $52.13.

Find out more on linear equation at: brainly.com/question/14323743

6 0
2 years ago
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