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3 years ago

Find the values of a through e that make these two relations inverses of each other.

Mathematics

2 answers:

SSSSS [86.1K]3 years ago

7 0

A=-3.8

B=-2.6

C=1.7

D=4.4

E=1.0

aleksley [76]3 years ago

4 0

Answer:

a = - 3.8

b = - 2.6

c = 1.7

d = 4.4

e = 1.0

Step-by-step explanation:

Given : the two relations in given images are inverses of each other.

We have to find the values of a, b, c , d and e.

Since, first table of x and y are inverse to second table of x and y.

Inverse means opposite in order.

Thus , x values of first table is y values of second table.

and y values of first table is x values of second table.

So , comparing we get,

a = - 3.8

b = - 2.6

c = 1.7

d = 4.4

e = 1.0

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Find the volume of the composite figure. Explain your thought, explain how your arrived at your answer. SHOW YOUR WORK FOR FULL

kobusy [5.1K]

We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.

The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in

The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³

The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³

Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
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V ≈ 3217.39 in³

4 0

3 years ago

Reduce 320/95 for me pls

Rina8888 [55]

Answer:

64/19

3 7/19

depending on how you need to write it

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Calculaye the perimeter and area of these composite shapes

lora16 [44]

For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

$14 + 18 + 3 + 4 + 3 + 4 + 3 + 4 + (14-9) + (18-12) = 64$

Thus, the perimeter of the figure is 64 centimeters.

Now, we find the area of the figure:

We have that by definition, the area of a rectangle is given by:

$A = a * b$

Where:

a and b are the sides of the rectangle

We have 4 vertical rectangles from left to right:

$A_ {1} = 14 * (18-12) = 14 * 6 = 84 \ cm ^ 2\\A_ {2} = (3 + 3 + 3) * 4 = 9 * 4 = 36 \ cm ^ 2\\A_ {3} = (3 + 3) * 4 = 6 * 4 = 24 \ cm ^ 2\\A_ {4} = 3 * 4 = 12 \ cm ^ 2$

Thus, the total area is $A_ {t} = 156 \ cm ^ 2$

Answer:

The perimeter of the figure is 64 centimeters.

$A_ {t} = 156 \ cm ^ 2$

4 0

3 years ago

A rectangular prism has a volume of 1376 cubic inches. The prism is 10 inches wide and 18 inches long. What is the height of the

Vladimir79 [104]

$\huge\boxed{ \mathcal{\longmapsto Answer࿐}}$

we know,

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2 years ago

A company produces birthday cards and get well cards at a ratio of 6 to 5 how many birthday cards can ve expected if 60 get well

Alik [6]

The number of birthday cards made is 72.

<h3>Description of ratios</h3>

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<h3>Number of birthday cards made </h3>

6/11 x 132 = 72 cards

To learn more about ratios, please check: brainly.com/question/25927869

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2 years ago