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AleksAgata [21]
3 years ago
5

Find the midpoint of AB given A(-1, 4) and B(7, 6).

Mathematics
1 answer:
dangina [55]3 years ago
5 0
When finding the midpoint, this would signify that we would find the point in the (middle) of <span>A(-1, 4) and B(7, 6).

Lets graph these following coordinates.

Your answer: </span>\boxed{\bf{3,5}}

Reason/Justification: 

Look at the attachment below!

I hope this helps you!

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The value of the solid's surface area is equal to the value of the solid's volume. find the value of x. 5*6*x
velikii [3]
<h3>Given</h3>

a cuboid with length, width, height dimensions 5, 6, x

<h3>Find</h3>

the value of x that makes the numerical value of the total surface area equal to the numerical value of the volume

<h3>Solution</h3>

The volume is given by

... V = L·W·H = 5·6·x = 30x

The area is given by

... A = 2(L·W + H(L+W)) = 2(5·6 +x(5+6)) = 2(30 +11x) = 60 +22x

When these are equal, we have

... 30x = 60 +22x

... 8x = 60

... x = 7.5

The desired value of x is 7.5.

7 0
2 years ago
On Monday morning, a school cafeteria had 97.88 gallons of milk. At lunch, the students drank 8
AlekseyPX

Answer:

89.88 gallons of milk

Step-by-step explanation:

97.88-8=89.88

4 0
3 years ago
Michael uses a uniform probability model for an experiment using a deck of 45 cards. There are 15 blue card, 15 red cards, and 1
vampirchik [111]

Answer:

<em>P</em> = 2/3

Step-by-step explanation:

45 cards in all

15 blue

15 red

15 green

To figure out the probability of red and blue together, add red and blue.

15 + 15 = 30

Since the total is 45, this is how many 30 will be out of.

30 out of 45 = 30/45

Simplify 30/45 by dividing each side by 15

30 ÷ 15 = 2

45 ÷ 15 = 3

30/45 = 2/3

6 0
2 years ago
The angle of elevation from a buoy in the water to the top of a lighthouse is 68degrees. If a buoy is 300 ft from the base of th
Katen [24]

Answer:

The height of the lighthouse is 742.5\ ft

Step-by-step explanation:

Let

h -----> the height of the lighthouse

we know that

The tangent of angle of 68 degrees is equal to divide the height of the lighthouse by the horizontal distance from the buoy to the base of lighthouse

so

tan(68\°)=\frac{h}{300}

Solve for h

h=(300)tan(68\°)=742.5\ ft

7 0
3 years ago
the volume v of a tank varies directly with its height h a tank 12 ft High holds 300 cubic feet write an equation relating v &am
Liula [17]

v varies directly with height means

v/h=k were k is a constant

or also h/v=k where k is a constant (this is a different k than previous)

so if h=12 and v=300 then

h/v=12/300=1/25=k

so the relationhip could be h/v=1/25


if you di v/h, then

v/h=300/12=25/1=25=k

so the relationship could be v/h=25

3 0
3 years ago
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