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3 years ago

One eighth is less than one seventh

Mathematics

1 answer:

Serjik [45]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

To prove that 1/8 is less than 1/7, the easiest way to do is convert it to decimals

1/8 = 0.125

1/7 = 0.14285714285 (Estimated - 0.14)

0.14 is a larger number than 0.125, therefore 1/8 is less than 1/7

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Which equation in point-slope form contains the points (0,5) and (5,8)?

Kipish [7]

I'm going to assume you pasted the question and answers and the fractions for the slope didn't come up.

Solve for the slope using the given values.

Slope formula: y2-y1/x2-x1

= 8-5/5-0

= 3/5

Point slope form: y - y1 = m(x - x1)

Using the point (5, 8) and the slope (3/5), it should look like:

y - 8 = 3/5(x - 5)

Best of Luck!

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3 years ago

Serhud [2]

A circle is characterized by radius, arc, sectors and circumference

The length of the major arc is $18.75\pi$
The radius of the circle is 15
The area of the shaded sector is $140.625 * \pi$

<h3>Length of the major arc</h3>

The given parameters are:

$C = 30\pi$ --- the circumference

$\theta = 225^o$ -- the center angle

The length of the major arc is calculated using:

$L = \frac{\theta}{360} * C$

So, we have:

$L = \frac{225}{360} *30\pi$

Evaluate

$L = 18.75\pi$

Hence, the length of the major arc is $18.75\pi$

<h3>The radius of the circle</h3>

The circumference is given as:

$C = 30\pi$

So, we have:

$2\pi r = 30\pi$

Divide through by 2pi

$r = 15$

Hence, the radius of the circle is 15

<h3>The area of the shaded sector</h3>

The area of a sector is:

$A = \frac{\theta}{360} * \pi r^2$

So, we have:

$A = \frac{225}{360} * \pi * 15^2$

Evaluate

$A = 140.625 * \pi$

Hence, the area of the shaded sector is $140.625 * \pi$

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2 years ago

There are 5 comedy, 8 action, and 11 children DVDs on a rack. Susan randomly selects 3 of them. What is the probability that she

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P(A)=\dfrac{440}{12144}=\dfrac{5}{138}$

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3 years ago

18) At noon, what is the length of the shadow cast by a flagpole known to be 20 feet tall? Label the answer correctly.

strojnjashka [21]

Actual length of the pole and the length of the shadow cast by the pole follow the proportional relationship.

Following this rule, 20 feet tall flagpole will cast 3.33 feet shadow.

If the length of the shadow = x feet

Proportional relationship will be defined by the expression,

$\frac{\text{Actual height}}{\text{Length of the shadow}}\rightarrow \frac{6}{1}= \frac{20}{x}$

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$x=\frac{20}{6}$

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Therefore, length of the shadow cast by flagpole will be 3.33 feet.

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258 divided by 6 using partial quotients

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