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netineya [11]
2 years ago
8

You draw the rectangle with verticals at (-3.5, 3), (3.5, 3), and (-3.5, -3). What is the perimeter and area of the rectangle?

Mathematics
1 answer:
natka813 [3]2 years ago
8 0

We want to know the perimeter and area of a rectangle given that we know where the vertices are.

We will get:

perimeter = 26

area = 42

While you wrote verticals, you wrote points, then I assume that it should say vertices.

The vertices of the rectangle are:

(-3.5, 3), (3.5, 3), (-3.5, -3), and one missing but that is the final one, (3.5, -3).

Note that we have two x-values and two y-values, we can define the length as the difference in the x-values and the width as the difference in the y-values, then we will get:

length = 3.5 - (-3.5) = 7

width = 3 - (-3)  = 6

Now we know the length and width of the rectangle, the perimeter is:

P = 2*(6 + 7) = 26

The area is:

A = 6*7 = 42

If you want to learn more, you can read:

brainly.com/question/16167300

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Two planes start from the same point and fly in opposite directions. The first plane is flying 60 mph slower than the second pla
Naddik [55]

Answer:

The first plane is moving at 295 mph and the second plane is moving at 355mph.

Step-by-step explanation:

In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:

x = y - 60

relative speed = x + y = (y - 60) + y = 2*y - 60

We can now apply the formula for average speed in order to solve for "y", we have:

average speed = distance/time

average speed = 1625/2.5 = 650 mph

In this case the average speed is equal to their relative speed, so we have:

2*y - 60 = 650

2*y = 650 + 60

2*y = 710

y = 710/2 = 355 mph

We can now solve for "x", we have:

x = 355 - 60 = 295 mph

The first plane is moving at 295 mph and the second plane is moving at 355mph.

5 0
3 years ago
The sum of two numbers is 20. One number is 4 less than the other. Find the numbers
exis [7]

Answer:8 and 12

Step-by-step explanation: 8 is 4 less than 12 and 12 and 8 equals 20

6 0
2 years ago
Need to find volume, step by step explanation pls <br><br><br><br>​
worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

V_1=\dfrac{2}{3}\pi r^3

Where, r is the radius of the hemisphere.

V_1=\dfrac{2}{3}(3.14)(6)^3

V_1=\dfrac{6.28}{3}(216)

V_1=452.16

Volume of cylinder is:

V_2=\pi r^2h

Where, r is the radius of the cylinder and h is the height of the cylinder.

V_2=(3.14)(6)^2(12)

V_2=(3.14)(36)(12)

V_2=1356.48

We know that,

l^2=r^2+h^2                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

(10)^2=(6)^2+h^2

100-36=h^2

\sqrt{64}=h

8=h

Volume of cone is:

V_3=\dfrac{1}{3}\pi r^2h

Where, r is the radius of the cone and h is the height of the cone.

V_3=\dfrac{1}{3}(3.14)(6)^2(8)

V_3=\dfrac{25.12}{3}(36)

V_3=301.44

Now, the volume of the combined figure is:

V=V_1+V_2+V_3

V=452.16+1356.48+301.44

V=2110.08

Therefore, the volume of the given figure is 2110.08 cubic units.

7 0
2 years ago
Geometry question, need some help :)
kodGreya [7K]

Answer:

Links are blurry please type (:

Step-by-step explanation:


8 0
3 years ago
Jill works on the weekends. Last saturday, she worked 5.75 hours. Sunday she worked 6.75 hours. she earn $7.50 per hours. How mu
leva [86]
93.75 because 5.75x7.50=43.125 and 6.75x7.50=50.625 and 50.625+43.125=93.748 and round it to the near test hundredth because it’s money and that’s 93.75
7 0
2 years ago
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