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3 years ago

Calculate the distance between the points M=(-1,-2) and C=(-9, 2) in the coordinate plane.

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

6 0

Answer:

8.9443

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.9443

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PLEASE HELP I HAVE NO IDEA WHAT IM DOING!!!

algol13

Answer: 28.26

Step-by-step explanation:

What your looking for is called the annulus (or the difference of two concentric circles). You can find the annulus by subtracting the area of the inner circle from the area of the outer circle. Volume of a circle= πr²

You are given the diameter in these problems, so you need radius.

For the first circle (8 in one) :

8/2=4 r=4

A=3.14(4)²

A=50.24

For the second one (10 in one) :

10/2=5 r=5

A=3.14(5)²

A=78.5

To find the measure of the annulus, you subtract those numbers, getting 28.26

8 0

4 years ago

ABCD is a parallelogram and this figure is NOT drawn to scale.

dimulka [17.4K]

The angle does not matter. Think of it as finding the other side to a triangle. Use $a ^{2} +b^2 =c^2$

a=39 (line AB)
b=b (the leg we need to find)
c=89 (line BD)

$39^2 + b^2 = 89^2$
$1521 + b^2 = 7921$
(subtract the 1521 from both sides)
$b^2 = 6400$
(square root both sides)
$\sqrt{(b^2)} = \sqrt{6400} 
$

b = 80
AD=80

7 0

3 years ago

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A right cone has radius 5 ft and slant height 9 ft. The radius and slant height are both multiplied by 1/2. Which of the followi

grin007 [14]

The surface area would be subtracted by 1/2

4 0

3 years ago

Howard is designing a chair swing ride. The swing ropes are 4 44 meters long, and in full swing they tilt in an angle of 2 3 ∘ 2

qaws [65]

Question:

Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.

Answer:

7.18 meters

Step-by-step explanation:

Given:

Length of rope, L = 4 m

Angle = 23°

Height of chair, H= 3.5 m

In this question, we are to asked to find the height of the pole of the swing ride.

Let X represent the height of the pole of the swing ride.

Let's first find the length of pole from the top of the swing ride. Thus, we have:

$cos \theta = \frac{h}{L}$

Substituting figures, we have:

$cos(23) = \frac{h}{4}$

Let's make h subject of the formula.

$h = 4cos(23) = 3.68$

The length of pole from the top of the swing ride is 3.68 meters

To find the height of the pole of the swing ride, we have:

X = h + H

X = 3.68 + 3.5

X = 7.18

Height of the pole of the swing ride is 7.18 meters

3 0

4 years ago

I will give BRAINLIEST to whoever is correct.

NikAS [45]

The correct answer is the last number line because with an inequality, the "equal to" sign below the "<" or ">" means the circle should be filled in. The line is traveling in a negative direction because the inequality says that n is less than -1.

5 0

3 years ago

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