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3 years ago

PLEASE HELPPP

Mathematics

1 answer:

KatRina [158]3 years ago

8 0

Answer:

y x

-1 0

1 1

3 2

5 3

This is a table that follows the above function

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Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

7 0

3 years ago

PLZ HELP ME 4 min left 50 points and brainleist

valentina_108 [34]

Answer:

y= -6

Step-by-step explanation:

4y=2(y−5)−2

4y = 2y -10 -2

4y = 2y -12

2y = -12

y = -6

7 0

3 years ago

Julie is 3 years older than her sister. Julie's age is 11 years old.<br> How old is her sister?

Ne4ueva [31]

Answer:

14 :)

Step-by-step explanation:

4 0

3 years ago

The city mayor wants to use the reserved section of a rectangular park for gardening lessons conducted by the city public school

Nezavi [6.7K]

Answer:

the answer is C (280 square feet)

Step-by-step explanation:

First, cut the lawn so that it becomes two shapes: a rectangle, and a triangle. Solve for both areas.

A(r) = lw

A(r) = (14)(16)

A(r) = 224 square feet

A(t) = bh/2

A(t) = (8)(14) / 2

A(t) = 112 / 2

A(t) = 56 square feet

Add the two areas:

A(r) + A(t) = Area of lawn

224 square feet + 56 square feet = 280 square feet.

7 0

3 years ago

Read 2 more answers

Which relation is a function?

zimovet [89]

Answer:

Step-by-step explanation:

A relation is a set of related points. A function is a set of related points where no inputs repeat.

A. {(1, 2), (2, 3), (3, 2), (2, 1)}

This repeats (2,3) and (2,1). Not a function.

B. {(4, 2), (3, 3), (2, 4), (3, 2)}

This repeats (3,3) and (3,2). Not a function.

C. {(1, −1), (−2, 2), (−1, 2), (1, −2)}

This repeats (1,-1) and (1,-2). Not a function.

D. {(1, 4), (2, 3), (3, 2), (4, 1)}

This doe NOT repeat. Function.

6 0

3 years ago