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ELEN [110]
3 years ago
7

Elena and her mom are on a road trip outside the United States. Elena sees this road sign. Elena's mom is driving 75 miles per h

our when she gets pulled over for speeding. The police officer explains that 8 kilometers is approximately 5 miles. How many kilometers are in 1 mile? How many miles are in 1 kilometer?
Mathematics
1 answer:
Nastasia [14]3 years ago
6 0

Answer:

There are 24 kilometre in 1 mile

There are 0.0416 miles in 1 kilometre

Step-by-step explanation:

Elena and her mom are driving 75 miles per hour

There are 5 miles approx in 8 kilometre

Therefore, in 75 miles, there are 15 equal 5 miles

Since 5 miles  = 8 kilometre

15 equal 5 miles = 15 X 8 = 120 kilometre

In 1 mile, there are 120÷5 = 24 kilometre

In 1 kilometre, there are 5 ÷ 120 = 0.0416 miles

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The center of a circle is (0, -8). The radius is 9. What is the equation of the circle? Select all that apply.
taurus [48]

Answer:

x² + (y + 8)² = 81

Step-by-step explanation:

Centre (h,k) = (0,-8)

radius (r) = 9

(x - h)² + (y - k)² = r²

(x - 0)² + (y + 8)² = 9²

x² + (y + 8)² = 81

8 0
3 years ago
Evaluate the expression when m = 63 and n = 45
sesenic [268]

The value of the given expression (3m - n)² + 4m when m = 63 and n = 45 is equal to 20,916.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

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

  • m = 63.
  • n = 45.

Substituting the given variables into the given expression, we have;

Expression = (3m - n)² + 4m.

Expression = (3(63) - 45)² + 4(45).

Expression = (189 - 45)² + 180

Expression = 144² + 180

Expression = 20,736 + 180

Expression = 20,916.

Read more on expressions here: brainly.com/question/28260012

#SPJ1

Complete Question:

Evaluate the expression when m = 63 and n = 45. (3m - n)² + 4m.

8 0
1 year ago
Consider the triangle.<br> 45°<br> 80°<br> Find the measure of the unknown third angle.
Elina [12.6K]

Answer:

55 \degree

Step-by-step explanation:

Let the unknown angle be x

As the interior angles in a triangle are added up to 180°

x + 45 + 80 = 180 \\ x + 125 = 180 \\ x = 180 - 125 \\ x = 55 \degree

Hope this helps you.

Let me know if you have any other questions:-)

6 0
3 years ago
Read 2 more answers
Find the total surface area of the prism. geometry hw. plz help me
tia_tia [17]

Answer:

152

Step-by-step explanation:

Hello there!

The prism shown is a triangular prism

There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one

Formula: SA = bh + L(s1 + s2 + s3) (found in the image)

b = base length

h = height

L = length

s1 = (same thing as the base length)

s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)

The triangular prism has the following dimensions

b = 6

h = 4

L = 8

s2 and s3 = 5

Now that we have identified each dimension we plug in the values into the formula

SA = 6*4 + 8(6+5+5)

6*4=24

8*6=48

8*5=40

40*2=80

80+48=128

128 + 24 = 152 so the surface area of the triangular prism is 152 cm²

5 0
3 years ago
Question 7<br> What is the median of the following distribution? -<br> (6,4,8,3,72,8,3,3,3)
GuDViN [60]

Answer:

72

Step-by-step explanation:

the number in the middle

8 0
3 years ago
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