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inn [45]
4 years ago
12

Find the distance between (-3,5) and (4,-2)

Mathematics
1 answer:
Westkost [7]4 years ago
3 0

Answer:

7√2 or approx. 9.89949

Step-by-step explanation:

distance between two points is

d=√(∆x^2+∆y^2)

where...

d is distance

∆x is change in x value

and ∆y is change in y value

In this problem ∆x=(-3)-4=(-7)

∆y=5-(-2)=7

plugging in those values gives us

d=√((-7)^2+7^2)

Solving this expression gives us

d=√(49+49)=√98

After simplifying the radical we are left with 7√2 or about 9.89949.

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Michele wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 48 feet from the flagpole, then
9966 [12]

The <u>correct answer</u> is:


20 feet.


Explanation:


48 ft would be the measurement of the base of the right triangle formed by the flagpole and the ground. We are trying to find the height of the flagpole, which is the other leg of this right triangle.


The measurements we have for the second triangle are 5 and 12. Since she is 12 feet away from the mirror, the base of the triangle is 12. Her eye level is at 5 feet, so this is the height of the triangle.


Since we know these triangles are similar, we can use proportions to solve this. 48 is to 12 (base is to base) as the unknown height is to 5 (height is to height):


48/12 = x/5


Cross multiply:

48*5 = 12*x

240 = 12x


Divide both sides by 12:

240/12 = 12x/12

20 = x


The unknown height is 20 feet.

3 0
3 years ago
Read 2 more answers
Please help me. Please put correct answer
kicyunya [14]

Mixed Number Form:

- 1  \frac1 2

5 0
3 years ago
lorena lifeguards at a lap pool that is 25 yards long, 10 ards wide, and 2 yards deep. There is a drain around he entire top edg
Varvara68 [4.7K]

The true statements about the pool are

  • The drain is best measured using perimeter
  • The area of the cover is 250 square yards
  • One edge of the pool measures 10 yd

<h3>How to determine true statements?</h3>

The given parameters are:

  • Length = 25 yards
  • Width = 10 yards
  • Depth = 2 yards

To measure the drain, we simply calculate the perimeter of the edge of the pool.

This means that (a) is correct

When the volume is calculated, the unit is cubic yard or yd³.

This means that (b) is wrong

The area of the cover is:

Area = Length * Width

This gives

Area = 25 yards * 10 yards

Evaluate

Area = 250 square yards

This means that (c) is correct

The length of the drain is calculated as:

Perimeter = 2 *(Length + Width)

This gives

Perimeter = 2 * (25 + 10)

Evaluate

Perimeter = 70

This means that (d) is wrong

Lastly (e) is correct, because the width of pool is 10 yards

Read more about perimeter and volume at:

brainly.com/question/15465114

#SPJ1

7 0
2 years ago
What is that simplified?
oee [108]

the answer is negative sixteen or -16

7 0
4 years ago
Need help will mark Brainliest
Arisa [49]

Answer:

53

Step-by-step explanation:

6 0
3 years ago
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