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3 years ago

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The circumference of a circle is 6π inches. What is the area of the circle? Alternative Text A. 3π in.2 B. 9π in.2 C. 12π in.2 D

. 36π in.2

1 answer:

alukav5142 [94]3 years ago

8 0

Answer:

B) 9π in^2

Step-by-step explanation:

Circumference of a circle is C = πD

Divide 6π by π to get 6 then divide by 2 to get the radius of the circle

Area of a circle is A = πr^2

6/2 = 3 3 = r

π(3)^2 = 9π

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The number of yards of fabric needed for Robs costume is (7/8+1/2+1 3/4)÷2. How does the amount of fabric needed for Robs costum

exis [7]

The amount of fabric needed for Jimmy's costume is not stated, we can only determine the amount needed for Rob's costume, which makes it impossible to compare the amounts needed for both of their costumes. If this omission was an error, then you can find the difference between these amounts if the amount needed for Jimmy's costume is stated explicitly.

Step-by-step explanation:

The number of yards of fabric needed for Robs costume is (7/8+1/2+1 3/4)÷2

Assuming 1 3/4 is a mixed fraction.

= (7/8 + 1/2 + 7/4) ÷ 2

= (7 + 4 + 2) ÷ (8 × 2)

= 13/16 yards

Suppose 2 yards of fabric is needed for Jimmy's costume, then comparing with Rob's yards, we see that Jimmy's costume requires (2 - 13/16 = 19/16) more yards than Rob's costume.

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4 years ago

Help me out please will mark you BRAINLIST

melisa1 [442]

Answer:

D. 18.68

Step-by-step explanation:

$27\div \frac{5}{3}-6+53\times (\frac{2}{5})^2$

Applying PEMDAS as order of operations.

Solving the exponents first $[(\frac{2}{5})^2=\frac{4}{25}]$

$=27\div \frac{5}{3}-6+53\times \frac{4}{25}$

Multiplying $[53\times \frac{4}{25}=8.48]$

$=27\div \frac{5}{3}-6+8.48$

Dividing $[27\div \frac{5}{3}=16.2]$

$=16.2-6+8.48$

Adding and subtracting.

$=18.68$

6 0

3 years ago

Find the area of this figure. Please show work if you can!

Yuri [45]

Here is the answer if you can't read my writing than just ask. also if you have any questions about how I got something feel free to ask

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3 years ago

Find the slope of the lines. Are the 2 lines parallel or perpendicular? Explain how you can use the slope of two lines to tell i

rewona [7]

Answer:

slope = $\frac{3}{7}$ and - $\frac{7}{3}$ , perpendicular

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = $\frac{3}{7}$ x + 11 is in this form with m = $\frac{3}{7}$

Rearrange 7x + 3y = 13 into this form

subtract 7x from both sides

3y = - 7x + 13 ( divide all terms by 3 )

y = - $\frac{7}{3}$ x + $\frac{13}{3}$ ← in slope- intercept form

with m = - $\frac{7}{3}$

• Parallel lines have equal slopes

• The product of perpendicular slopes = - 1

The lines are not parallel since slopes are not equal

$\frac{3}{7}$ × - $\frac{7}{3}$ = - 1

Hence lines are perpendicular

6 0

3 years ago

Distance between parallel lines y=3x+10 and y=3x-20

Alecsey [184]

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).

2. Use formula $d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}$ to find the distance from point $(x_0,y_0)$ to the line Ax+By+C=0.

The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

$d=\dfrac{|3\cdot 0-10-20|}{\sqrt{3^2+(-1)^2}}=\dfrac{30}{\sqrt{10}}=3\sqrt{10}$ .

3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.

Answer: $d=3\sqrt{10}$ .

4 0

3 years ago