The plate for a microscope has a circumference of 100pi millimeters. What is the area of the plate? Round to the nearest hundredth, if necessary.

Answers

Answer 1

The area of the plate is 7850 square millimeters.

Important information:

Circumference of the plate is [tex]100\pi[/tex] millimeters.Area of circle:

Circumference of a circle with radius [tex]r[/tex] is:

[tex]C=2\pi r[/tex]

[tex]100\pi=2\pi r[/tex]

[tex]\dfrac{100\pi}{2\pi}=r[/tex]

[tex]50=r[/tex]

The radius of the plate is 50 millimeters.

Now, the area of the plate is:

[tex]A=\pi r^2[/tex]

[tex]A=(3.14)(50)^2[/tex]

[tex]A=(3.14)(2500)[/tex]

[tex]A=7850[/tex]

Therefore, the area of the plate is 7850 square millimeters.

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Related Questions

WILL MARK BRAINLEST IF RIGHT.

Answers

Answer: 49.39

Step-by-step explanation:

Answer:

49.32

Step-by-step explanation:

What is the value of the expression (2 Superscript 4 Baseline) squared?

Answers

Answer:

{(2^4) }^2

=16^2

= 256

................

Answer:

256

Step-by-step explanation:

Rewrite the equation by completing the square.
x^{2}-14x+33 = 0

Answers

Answer:

Step-by-step explanation:

x^2 - 14x = -33

14/2= 7

(7)^2 = 49

x^2 - 14x + 49 = -33 + 49

x^2 -14x + 49 = 16

(x-7)^2 - 16

Answer:

x = 11

x =3

Step-by-step explanation:

I hope it helps

The perimeter of a regular hexagon is 84 cm. What is the length of one side?


(WRITE AN EQUATION FOR THAT^^)

Answers

Answer:

14cm

Step-by-step explanation:

As we know , hexagon has six sides .

so ,

We will divide the number of sides by the total perimeter to obtain the length of one side :

_____________________

Hexagon = 6 sides .

Length of one side of hexagon would be = 84/6

=> 14 cm

Answer:

14 cm

Step-by-step explanation:

The perimeter of a regular hexagon is 84 cm. (Given)

Here,

Hexagon = 6 sides

Now,

= 84 ÷ 6

= 14 cm

Thus, the length of one side is 14 cm

Find the area of the figure

Answers

Answer:

11000

Step-by-step explanation:

Hi there! I need some help with this question, thx!


In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 15."

Pattern A is 0, 5, 10, 15, 20
Pattern B is 0, 15, 30, 45, 60

Which statement is true?


A. Every term in Pattern B is 3 times the corresponding term in Pattern A.

B. Every term in Pattern B is 10 more than the corresponding term in Pattern A.

C. Every term in Pattern B is 5 times the corresponding term in Pattern A.

D. Every term in Pattern B is 13 the corresponding term in Pattern A.

Answers

Answer:

sky im going with A

Step-by-step explanation:

A I took the test it is correct

Graph the inequality of y less than or equal to2x + 2?

Answers

First you graph "y = 2x +2." You shade in the region below it, because it's y "LESS THAN" and you keep the line solid (not dotted) because it's "equal to" 2x+2 too.

find the zeros of the function f(x)=8x^2 +32

Answers

Answer: no solution

Step-by-step explanation:

[tex]8x^{2} +32=0[/tex]

Factor out 8

[tex]8(x^{2} +4)=0[/tex]

no solution

Why?

Think about the graph, [tex]x^{2}[/tex] shifted up 4 has no zeros, even with a vertical stretch of 8.

What does it mean for points to be colinear?

Answers

Answer:

Three or more points that lie on the same line are collinear points .

Step-by-step explanation:

Three or more point lie on a single straight mine.

The price of a car was decreased by 16% to £2400. What was the price before the decrease?
Give your answer to the nearest penny.

Answers

Answer:

  £2857.14

Step-by-step explanation:

The price after the decrease is 84% of the original price, so we have ...

  £2400 = 0.84 · (original price)

  £2400/0.84 = original price ≈ £2857.14

Correct answers only!

To the nearest cent, how much will she have in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

0.62

Step-by-step explanation:

Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 111 gallon of gas, to fill the go cart tank. 111 gallon = 231 inches^3

Answers

the answer is 2 cans

Awnser

8 gallons of cans

you want to start a necklace making business. You spend $0.68 on string for each necklace and $0.25 on beads for each necklace. You sell your necklaces
for $2.00 each. If you sell 30 necklaces, how much profit will you make?

Answers

Answer:

Your profit would be 32.10$

Step-by-step explanation:

You spent 20.40$ on string, then you spent 7.50$ on beads too. That adds up to 27.90$ in total, so once you make your 30 necklaces you sell them for 2.00$ let's say you sell them all in one day your coming come with 32.10$ profit. Because you put 27.90$ into making the necklaces.

Which is the correct way to model the equation-+8 = 7x+(-8) using algebra tiles?
1 positive x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 positive unit tiles on the right side
8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
8 positive x-tiles and 1 negative unit tile on the left side; 8 negative X-tiles and 7 positive unit tiles on the right side
VX

Answers

Answer:

Step-by-step explanation:

1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side

Answer:

the answer is c

Step-by-step explanation:

A spinner has 6sectors half are red and half of which is black if the radius of the spinner is 3 inches what is the area of the red sectors

Answers

Answer:

HIIII!!!

Step-by-step explanation:

Solve the following equation using any method of your choosing: 6x² +24x = 0

Answers

Answer:

x = 0   or  x = -4

Step-by-step explanation:

Solve: 6x² +24x = 0

First you can factor this binomial.

6x² +24x = 6x (x + 4) = 0

so  x = 0  or  x + 4 = 0

x = 0   or  x = -4

What is the area of rectangle with side lengths of 5/12 foot and 2/3 foot?

Answers

Answer:

The answer is 5/18

Step-by-step explanation:

The area of a rectangle with side lengths of 5/12 foot and 2/3 foot is 5/18 square feet and this can be determined by using the formula of the area of a rectangle.

Given :

Lengths of 5/12 foot and 2/3 foot.

The area of the rectangle is given by the formula:

A = W [tex]\times[/tex] L

where A represents the area of the rectangle, W represents the width of the rectangle, and L is the length of the rectangle.

So, the area of a rectangle with side lengths of 5/12 foot and 2/3 foot is given by:

[tex]\rm A = \dfrac{5}{12}\times \dfrac{2}{3}[/tex]

Further, simplify the above expression

[tex]\rm Area = \dfrac{10}{36}[/tex]

[tex]\rm Area = \dfrac{5}{18}[/tex]

The area of a rectangle with side lengths of 5/12 foot and 2/3 foot is 5/18 square feet.

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Given the following​ functions, find the indicated values.

Answers

Answer:  Please provide an image of what you are talking about so that we can help you more.

Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x

Answers

Answer:

2.8-5.4

Step-by-step explanation:

4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right

EVERYTHING IS DUE IN 2 HOURS AND I CANT FIGURE THIS OUT AND CANT CONTINUE WITHOUT IT PLEASE HELP a)find the probability that a randomly selected student from ms laytons class failed the test
b) find the probabbility that a randomly selected student who failed the test from mrs d’s class.

Answers

Answer:

Step-by-step explanation:

Answer -

a) 50% or 1/2

Explanation -

12+12=24

therefore, 12/24 = 1/2 which is 50%

b) 46.43% or 13/28

Explanation -

15+13=28

therefore, 13/28 which is 46.6%

what would be 2 + 7x + 3 − 5x − 1 = ______ plz help

Answers

B :)))))))))))))))))))))))))))))))))))))))))))))((

Answer:

4 +2x

2(2+x)

Step-by-step explanation:

2 + 7x + 3 − 5x − 1

Combine like terms

2+3-1   +7x-5x

4 +2x

We could also factor out a 2

2(2+x)

Which situation describes INDEPENDENT events? A) One student is chosen from Classroom A, then a student is chosen from Classroom B. B) One card is chosen from a standard deck, it is set aside, then a second card is drawn. C) One student is chosen from Classroom A, then a second student is chosen from Classroom A. D) Tom chooses a letter of the alphabet, then Beth must choose a different letter from the alphabet.

Answers

Answer:

Step-by-step explanation:

A) One student is chosen from Classroom A, then a student is chosen from Classroom B

the sets for each probability to happen are different. what happen in first clause is unrelated to the second clause

what function below will translate f(x)=x^2 left 5 units a down 1 unit?
A. f(x)= (x-1)^2-5
B.f(x)=(x-5)^2-1
C.f(x)=(x-5)^2+1
D.f(x)=(x+5)^2-1
HELP ASAP

Answers

Answer:

B

Step-by-step explanation:

In the parenthesis with x it up or down on the y axis, and then after the function is what where after or before the origin the line starts on the x-axis.

During a period of 30 seconds, a scuba diver changed her depth by –150 feet. Determine the average change in depth per second.

Answers

Answer:

I think it might be five feet

Step-by-step explanation:

I'm smart<3

The average change in depth is 5 feet/ second.

It is required to find the average change in depth per second.

What is slope?

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

[tex](x_{1} ,y_{1} )=(0,0)\\\\(x_{2} ,y_{2} )=(30,150)\\\\[/tex]

Scuba diver's rate of change

[tex]m=\frac{150-0}{30-0} \\\\m=5[/tex]feet/sec.

Therefore, the average change in depth is 5 feet/ second.

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What is the probability of the complement of rolling a number less than 5 by using a six-sided die? StartFraction 1 over 6 EndFraction One-third Two-fifths Two-thirds

Answers

Answer:

1/3 = 0.3333 = 33.33%

Step-by-step explanation:

In the six-sided die we have 6 possible values, from 1 to 6.

To roll a number less than 5, the options are: 1, 2, 3 or 4.

We have 4 options, so the probability is P = 4/6 = 2/3

To find the complement of this probability, we just need to calculate 1 minus the probability, so we have that:

complement = 1 - P = 1 - (2/3) = 1/3 = 0.3333 = 33.33%

(We could also find the probability of rolling 5 or 6, which is the complement of rolling less than 5)

Answer:

1/3

Step-by-step explanation:

I took the test

in ΔBCD, the measure of ∠D=90°, CB = 89, BD = 80, and DC = 39. What ratio represents the cosine of ∠B?

Answers

Answer:

80/89

Step-by-step explanation:

This is the real answer!! No tricks

The ratio to represent the cosine of ∠B is,

⇒ 80 : 89

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In ΔBCD,

The measure of ∠D=90°, CB = 89, BD = 80, and DC = 39.

Now, We know that;

⇒ cos θ = Base / Hypotenuse

Her, By the given information, we get;

⇒ cos B = Base / Hypotenuse

⇒ cos B = BD / CB

⇒ cos B = 80 / 89

Thus, The ratio to represent the cosine of ∠B is,

⇒ 80 : 89

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Solve this equation.What is the length of x?

Answers

Answer:

6. 12.5 cm

7. 0.7241

Step-by-step explanation:

6.

You have 2 right triangles. You can use the Pythagorean theorem for each one.

a^2 + b^2 = c^2

Let y = length of vertical side between triangles.

Left triangle:

5^2 + y^2 = 13^2

25 + y^2 = 169

y^2 = 144

y = 12

Right triangle:

3.5^2 + 12^2 = x^2

12.25 + 144 = x^2

x^2 = 156.25

x = 12.5

Answer: x  12.5 cm

7.

For <X, 2.0 ft is adj leg. 2.9 ft is hyp.

cos X = 2.0/2.9 = 0.6897

X = cos^1 0.6897 = 46.397 deg

sin X = sin 46.397 deg = 0.7241

I need help finding the slope and y-Intercept

Answers

Answer:

You Do y= mx+b

Step-by-step explanation:

Answer:

y-intercept is 2 because line passes through (0,2) and the slope is 3.

The equation of this line is y=3x+2.

Please help I’ve been desperate I will give brainliest

Answers

Answer:

102 degrees (problem #5)

Step-by-step explanation:

5. 78 = 1/2 ((360-x)-(x)) -->

156 = 360 - 2x -->

-204 = -2x -->

102 = x

Lucy and Zachary work at a furniture store. Lucy is paid $200 per week plus 7.5% of her total sales in dollars, x x, which can be represented by g ( x ) = 200 + 0.075 x g(x)=200+0.075x. Zachary is paid $233 per week plus 6% of his total sales in dollars, x x, which can be represented by f ( x ) = 233 + 0.06 x f(x)=233+0.06x. Determine the value of x x, in dollars, that will make their weekly pay the same.

Answers

Answer:

[tex] f(x) = g(x)[/tex]

[tex] 200 +0.075 x= 233 +0.06 x[/tex]

We can subtract from both sides 0.06x and we got:

[tex] 0.075 x-0.06x +200 = 233[/tex]

And now we can subtract 200 from both sides we got:

[tex] 0.015 x = 33[/tex]

And dividing both sides by 0.015 we got:

[tex] x = \frac{33}{0.015}= 2200[/tex]

And then the final anwer would be x =2200

Step-by-step explanation:

For this case we have the following function for the total sales of Lucy is given by:

[tex] g(x) = 200 +0.075 x[/tex]

And the function for the total sales of Zachary is given by:

[tex] f(x) =233 +0.06 x[/tex]

And we want to determine the value of x, in dollars, that will make their weekly pay the same, so we can set equal the two functions:

[tex] f(x) = g(x)[/tex]

[tex] 200 +0.075 x= 233 +0.06 x[/tex]

We can subtract from both sides 0.06x  and we got:

[tex] 0.075 x-0.06x +200 = 233[/tex]

And now we can subtract 200 from both sides we got:

[tex] 0.015 x = 33[/tex]

And dividing both sides by 0.015 we got:

[tex] x = \frac{33}{0.015}= 2200[/tex]

And then the final anwer would be x =2200

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