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3 years ago

A dime has a radius of 8.5 millimeters. Find the circumference of a dime to the nearest tenth

Mathematics

1 answer:

g100num [7]3 years ago

3 0

Well C=Dπ so C=17 x 3.14 = 53.38 which is rounded to 53.4

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Please help!!! I would like an explanation along with your answer. Thanks

Tpy6a [65]

Answer:

11.2 feet

Step-by-step explanation:

The two furthest corners of the bed are at (8, 6) and (5, 10). To determine which is the furthest from the origin, use the distance formula.

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((8 − 0)² + (6 − 0)²)

d = 10

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((5 − 0)² + (10 − 0)²)

d = 5√5

d ≈ 11.2

Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.

8 0

3 years ago

M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)

Deffense [45]

Answer:

Part 1) $MD=9\ units$

Part 2) $DC=12\ units$

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

In this problem

$MD=ME=MF$ ------> is the radius of a circle inscribed inside the triangle

we have that

$MF=9\ units$

therefore

$ME=9\ units$

$MD=9\ units$

Step 2

Find the length of DC

we know that

In the right triangle MDC

Applying the Pythagoras theorem

$MC^{2} =MD^{2}+DC^{2}$

we have

$MD=9\ units$

$MC=15\ units$

substitute

$15^{2} =9^{2}+DC^{2}$

$DC^{2}=225-81$

$DC=\sqrt{144}\ units$

$DC=12\ units$

6 0

3 years ago

John worked 43 hours last week. His hourly rate is $9.00. He has the following deductions taken from his pay: Social Security ta

disa [49]

Assuming John does not get premium pay for hours over 40, his pay will be ...

... 43 hours × $9.00 = $387

... - 6.2% × $387 = $23.99

... - 1.45% × $387 = $5.61

... - $15.00

... - 5% × $387 = $19.35

... - 10% × ($387 -19.35) = $36.77

... = $286.28 . . . . net pay after all the deductions

6 0

3 years ago

Read 2 more answers

Simplify:<br><br>7j-6k-5j+4k<br><br>also what is 30% of 520

alukav5142 [94]

The first one simplified is 2j-2k 30% of 520 is 156

7 0

3 years ago

When writing a linear equation in standard form, what other forms might you need to use?

wlad13 [49]

Answer:

there are 2 other forms, point-slope form and slope-intercept form.

Step-by-step explanation:

standard is $Ax + By =C$

point-slope is $y-y_{1} =m(x-x_{1})$

slope-intercept is $y=mx+b$

5 0

3 years ago

Read 2 more answers