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3 years ago

Gail ran 4610 miles on Saturday and 6810 miles on Sunday. How many miles did Gail run over the weekend?

Mathematics

1 answer:

VMariaS [17]3 years ago

8 0

Answer:

He ran 11,420 miles on the weekend.

Step-by-step explanation:

It's simple: add 4610 and 6810 to get 11,420

hope this helped!

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The volume of a sphere can be determined by the formula V = 4/3 πr^3, where r is the radius. What is the volume of a sphere with

allochka39001 [22]

Answer:

$V = \frac{99}{7} x^{9}y^{-6}$

Step-by-step explanation:

Given

$V = \frac{4}{3}\pi r^3$

Required

Find V when

$r = \frac{3}{2}x^3y^{-2$

Substitute $\frac{3}{2}x^3y^{-2$ for r in $V = \frac{4}{3}\pi r^3$

$V = \frac{4}{3}\pi * (\frac{3}{2}x^3y^{-2})^3$

Open bracket

$V = \frac{4}{3}\pi * \frac{3}{2}^3 * x^{3*3}y^{-2*3}$

$V = \frac{4}{3}\pi * \frac{27}{8} * x^{9}y^{-6}$

Simplify the fractions

$V = \pi * \frac{9}{2} * x^{9}y^{-6}$

Let

$\pi = \frac{22}{7}$

So:

$V = \frac{22}{7} * \frac{9}{2} * x^{9}y^{-6}$

$V = \frac{11}{7} * \frac{9}{1} * x^{9}y^{-6}$

$V = \frac{99}{7} * x^{9}y^{-6}$

$V = \frac{99}{7} x^{9}y^{-6}$

6 0

3 years ago

Prove that:<br><br>cos20°cos40°cos80°=1/8

Naya [18.7K]

Answer:

see explanation

Step-by-step explanation:

Using the double angle identity for sine

sin2x = 2sinxcosx

Consider left side

cos20°cos40°cos80°

= $\frac{1}{2sin20}$ (2sin20°cos20°)cos40°cos80°

= $\frac{1}{4sin20}$ (2sin40°cos40°)cos80°

= $\frac{1}{4sin20}$ (sin80°cos80° )

= $\frac{1}{8sin20}$ (2sin80°cos80° )

= $\frac{1}{8sin20}$ . sin160°

= $\frac{1}{8sin20}$ . sin(180 - 20)°

= $\frac{1}{8sin20}$ . sin20°

= $\frac{1}{8}$ = right side , thus proven

7 0

3 years ago

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The ratio of pencils to erasers is 4:1 if there are 208 pencils,how many erasers are there?

Neko [114]

Answer:

Step-by-step explanation:

for every 4 pencils there is 1 eraser. 4/1=208/x

4x=208

x=52

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3 years ago

Sid goes to the store and buys a shirt for $65. The store has sales tax rate of 5.4%. How much tax will Sid have to pay?

mojhsa [17]

Answer:

$3.51

Step-by-step explanation:

We change 5.4% into a decimal which is .054, we then multiply 65 by .054

$65 x .054 = $3.51

3 0

3 years ago

Pls pls help me I will mark you brainest

Musya8 [376]

Answer:

It would be 125m^2

Step-by-step explanation:

17*10=170

170/2=85

8*10=80

80/2=40

85+40=125

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3 years ago

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