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2 years ago

Dina is arranging 45 wedges of cheese on 7 plates. Each plate has the same number of wedges.

Mathematics

2 answers:

Nezavi [6.7K]2 years ago

7 0

The answer to this would be,

hope this helps !!!

slamgirl [31]2 years ago

5 0

C. 3.

7 × 6 = 42.

45 - 42 = 3.

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Factor completely 3x3 + 12x2 + 18x.

Sedbober [7]

Step-by-step explanation:

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3 years ago

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E = MV^2 ÷ 2 + mgh, Make V Subject of the formula

Stels [109]

Answer:

$\red{ \bold{ V = \sqrt{\frac{2(E - mgh)}{M}}}}$

Step-by-step explanation:

$E = MV^2 ÷ 2 + mgh \\ \\ E - mgh = MV^2 ÷ 2 \\ \\ 2(E - mgh)= MV^2 \\ \\ \frac{2(E - mgh)}{M}=V^2 \\ \\ \sqrt{\frac{2(E - mgh)}{M}} = V \\ \\ \red{ \bold{ V = \sqrt{\frac{2(E - mgh)}{M}}}}$

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2 years ago

A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.

Ahat [919]

Answer:

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

6 0

2 years ago

find the measure of the central angle of a circle if it's minor are length is 14π and the radius is 18 inches

MrMuchimi

Step-by-step explanation:

Length of arc of a circle is given as:

$l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ \therefore \: 14\pi = \frac{ \theta}{360 \degree} \times 2\pi \: \times 18 \\ \\ \therefore \:\theta = \frac{14\pi \times \: 360 \degree }{2\pi \: \times 18} \\ \\ \therefore \:\theta = \frac{7 \times \: 360 \degree }{18} \\ \\ \therefore \:\theta = 7 \times \: 20 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 140 \degree}}$

Thus, the measure of central angle is 140°.

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2 years ago

If tim spends 1/3 each weekday sleeping and about 7/24 each weekday in school what fraction of a weekday does Tim spend either s

Ganezh [65]

Tim spends 1/3 each weekday sleeping and 7/24 in school. We can write 1/3 as 8/24 so we have a common denominator. Now we can see that Tim sleeps for 1/24 time of a weekday more then he spends in school.

I hope that's what you meant.

3 0

3 years ago