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Veseljchak [2.6K]
2 years ago
10

Find the slope from the table. x 5 5 5 y-101 1/10 Undefined 5 O B

Mathematics
2 answers:
Reika [66]2 years ago
5 0
The slope is zero!!
(WORK SHOWN BELOW)
Vedmedyk [2.9K]2 years ago
4 0

Answer: undefined

Step-by-step explanation:

the line is a straight line up, if it was sieways it would be 0

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In order for this ratio of volumes to be true, what measurements would have to be equal in all 3 solids?
Neporo4naja [7]

The measurements of the figures that should be equal in order for the ratio of volumes between the volumes of the cone, sphere, and cylinder of 1:2:3 to be true is; The radius and the height

<h3>What is a ratio?</h3>

A ratio is a comparison between the magnitudes or measurements of items, expressing the number of times one item in the ratio is contained within another item in the ratio.

The formula for the volume of a cone, V_p is, V_p = (1/3)·π·r₁²·h₁

The formula for the volume of a sphere, V_s, is V_s = (4/3)·π·r₂³

The formula for the volume of a cylinder, V_c, is V_c = π·r₃²·h₃

The ratio of the volumes in the question is 1:2:3

Therefore; The volume of the sphere is twice the volume of the cone, and the volume of the cylinder is three times the volume of the cone, which indicates;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·h₁...(1)

π·r₃²·h₃ = 3 × (1/3)·π·r₁²·h₁...(2)

Equation (1) indicates that we have;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·h₁

Where, h₁ = 2·r₂, we get;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·(2·r₂) = (4/3)·π·r₁²·r₂

Therefore; r₁ = r₂, and the diameter of the sphere is equal to the height of the cone

The radius of the cone is equal to the radius of the sphere

Equation (2) indicates;

π·r₃²·h₃ = 3 × (1/3)·π·r₁²·h₁ = π·r₁²·h₁

Therefore;

r₃²·h₃ = r₁²·h₁

r₃ = r₁

h₃ = h₁

The radius of the cone = The radius of the cylinder

The height of the cone = The height of the cylinder

  • The ratio of the volumes, 1 : 2 : 3 is true when the measurements of the radius and the height are equal for all three solids.

Learn more about the volume of regular solids here:

brainly.com/question/15316195

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4 0
1 year ago
Help me with this question and I will help you
anastassius [24]

Answer:

  x = 3.75 cm

Step-by-step explanation:

If we assume ΔABC ~ ΔXYZ, then ...

  YZ/BC = YX/BA . . . . . . corresponding sides are proportional

  x/15 = 3/12 . . . . . . . . . . . fill in given values

  x = 15(3/12) = 15/4 . . . . . multiply by 15

  x = 3.75 . . . cm

5 0
2 years ago
Read 2 more answers
7a-4b=2b-5a solve for a
uysha [10]

Step-by-step explanation:

7a - 4b = 2b - 5a

7a + 5a = 2b + 4b

12a = 6b

a = 6b/12

a = b/2

5 0
3 years ago
Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction. How do the es
Mice21 [21]

The correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

<h3>What are fractions?</h3>

The fraction is defined as the division of the whole part into an equal number of parts. here we have the following information Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction.

E =  \dfrac{5}{8}\times \dfrac{8}{9} = 0.55

Thus the product of the fraction estimated in the nearest half is,

0.5×1= 0.50

Therefore the correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

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5 0
1 year ago
Solve the equation 4\pi =w-6\pi
maksim [4K]

Answer:

4/pi=w-6/pi

<u>4</u><u> </u><u> </u><u> </u>=<u> </u><u>w</u><u>-</u><u>6</u>

<u>Pi</u><u> </u><u> </u><u> </u><u> </u><u> </u><u>pi</u>

Cross mutiply

Pi(w-6)=4(pi)

Wpi - 6pi =4pi

Collect like terms

Wpi=4pi + 6pi

Wpi =10pi

<u>Divide</u><u> </u><u>both</u><u> </u><u>sides</u><u> </u><u>by</u><u> </u><u>pi</u>

<u>Wpi</u><u> </u>= <u>10pi</u>

Pi pi

W = 10

5 0
3 years ago
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