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3 years ago

W is greater than -1 and less than or equal to 4 Use a only once in your inequality.

Mathematics

2 answers:

Mice21 [21]3 years ago

7 0

Answer:

-1 + w ≤ 4

Step-by-step explanation:

w is greater than -1 = -1 + w

Less than or equal to 4 = (anything less than or equal to 4)≤4

romanna [79]3 years ago

4 0

Answer:

$-1$

This shows that w is greater than -1 and less than or equal to 4

, through an inequality.

This is the greater than symbol: <

This is the less than or equal to symbol: $\leq$

Hope that helped!!!

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3 years ago

Read 2 more answers

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:

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

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3 years ago

A gardener has 46ft of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surrounding it. If the l

LekaFEV [45]

Let the width be x, then the length is 2x
2(x + 4 + 2x + 4) = 46
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3 years ago

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3 years ago

What is the measurement of angle 1 plz help me !

Evgen [1.6K]

Answer:

ANGLE 1 = 40°

Step-by-step explanation:

angle 1 = angle 2 ------(alternate interior angles)

2x + 20 = 3x + 10

20 - 10 = 3x - 2x

x = 10.

Angle 1 = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°.

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2 years ago