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3 years ago

3x + y = -21 x+y=-5 solving systems of equations by substitution

Mathematics

1 answer:

katen-ka-za [31]3 years ago

7 0

First : x=-5-y and then put x in the phrase above

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Your family is driving at 45 miles an hour and your families house is 135 miles away how long will it take

Fed [463]

A short simple answer of 3 hours

8 0

3 years ago

The rectangle shown is dilated by a scale factor of 1/5

Harrizon [31]

Answer:

A'B'= 3 cm and B'D' = 1.6 cm

Step-by-step explanation:

First of all, we are told that the scale factor = 1/5

Now,we know that If the scale factor is less than 1, then the dilation is a reduction.

Thus, in this question the dilation is a reduction.

For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor

Thus;

A'B' = AB(1/5)

A'B' = 15(1/5) = 3 cm

B'D' = BD(1/5) = 8(1/5) = 1.6 cm

Thus, The length of each side of the dilated rectangle are;

A'B'= 3 cm and B'D' = 1.6 cm

5 0

3 years ago

What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)

Natasha2012 [34]

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

Step-by-step explanation:

The given is,

Composite figure is combination of a half sphere and cone

Both have a radius of 4 centimeters

The cone has a height of 15 centimeters

Step:1

Volume of composite figure = Volume of half sphere + Volume of cone

Step:2

Formula for volume of semi sphere,

$Volume of half sphere, V_{Half sphere} = \frac{2}{3} \pi r^{3}$

Where, r - Radius of Half sphere,

From given, r = 4 centimeters

$V_{Half sphere} = \frac{2}{3} \pi 4^{3}$

$= (0.6667) (3.14) (64)$ (∵ $\pi$ = 3.14 )

$V_{Half sphere}$ = 133.9733 cubic centimeters

Formula for volume of cone,

$Volume of cone, V_{cone} = \frac{1}{3} \pi r^{2} h$

where, r - Radius of cone

h - Height of cone

From given,

r = 4 centimeters

h = 15 centimeters

Volume of cone,

$V_{cone} = \frac{1}{3} \pi 4^{2}(15)$

$= (0.333333) (3.14)(16)(15)$ (∵ $\pi$ = 3.14 )

$V_{cone}$ $= 251.1997$ cubic centimeters

Step:3

Volume of composite figure = 133.9733 + 251.1997

Volume of composite figure = 385.17 cubic centimeters

Result:

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

4 0

3 years ago

Read 2 more answers

Which number line represents the solution to the inequality -7x-1326-7x - 13 28?

andrey2020 [161]

Answer:

i think its -14×14613 thets ny answer

3 0

3 years ago

Given the graph below, locate the points of the reflection over the x-axis.

Zinaida [17]

Answer:

A: (1,3)

A': (1,-3)

---

B: (5,1)

B': (5,-1)

---

C: (-2,2)

C': (-2,-2)

---

D: (-5,4)

D': (-5,-4)

Hope it helps, sorry I was late; just got around to this lesson.

6 0

3 years ago