1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stepan [7]
2 years ago
10

In the diagram at the left, O is the center of the circle, MNOP is a rectangle, and the area of the circle is 100π. What is the

length of diagonal of the rectangle?
Mathematics
1 answer:
RUDIKE [14]2 years ago
4 0

The length of the diagonal of the rectangle will be 14.142 units.

<h3>What exactly is a rectangle?</h3>

It has four sides and is a polygon. The internal angle total is 360 degrees. The opposing sides of a rectangle are parallel and equal, and each angle is 90 degrees.

Rectangle diagonals are equally equal and meet at the midpoint.

O is the circle's center, MNOP is its rectangle, and the circle's area is 100 in the diagram to the left.

Area of circle=πr²

100 π= πr²

r= 10 units

The length of the rectangle is equal to the radius of the circle is 10 units. The length of the diagonal is √2  times the side of the rectangle;

L=√2 R

L=1.414×10

L=14.14

Hence the length of the diagonal of the rectangle will be 14.142 units.

To learn more about the rectangle,  refer to the link brainly.com/question/13747846.

#SPJ1

You might be interested in
( 3x + 5 ) ki power 2 expend it​
Pepsi [2]

This question is soooo easy

Step-by-step explanation:

(3x)^2+(5)^2+2.3x.5

9x^2+25+30x

4 0
3 years ago
Work out m and c for the line: y = 8 x
Ivan

Answer:

m = 8 and c = 0

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 = 8x ← is in slope- intercept form, that is y = 8x + 0

with m = 8 and c = 0

8 0
3 years ago
One pump can empty a pool in 4 days, whereas a second pump can empty the pool in 10 days. How long will it take the two pumps, w
gtnhenbr [62]

Answer:

20/7 days (just less than 3 days)

Step-by-step explanation:

Recall that (1 job) = (rate)(time), so time = (1 job) / (rate).

Set up and solve the following equation:

  1 job

------------------------------- = time required for 2 pumps working together

1 job         1 job

---------- + -------------

4 days      10 days

This comes out to:

              1 job

------------------------------------------- = time required

10 job-days      4 job-days

------------------ + -----------------

   40 days           40 days

or:

    1 job

-------------------- = (40/14) days, or 20/7 days (just less than 3 days)

14 job·days

-----------------

   40 days  

7 0
3 years ago
The distance between two cities is one hundred miles, and a woman drives from one city to the other at a rate of fifty mph. At w
vladimir1956 [14]
It takes her (100 mi)/(50 mi/h) = 2 h to get to her destination. She has 1 h 40 min = 100 min for her 100 mi return trip.
.. (100 mi)/(100 min) = (60 mi)/(60 min) = 60 mi/h

She must return at the rate of 60 mph to complete the trip in 3 h 40 min.
3 0
3 years ago
Read 2 more answers
The following table shows the distance from school as a function time
kykrilka [37]

Answer:

27,0 the distance away from the school​

Step-by-step explanation:

Apply the formula for equation of a straight line;

y=mx+c where c is the y intercept , and m is the gradient

From the graph, the slope is negative where speed decreases with increase in time

Find the gradient by applying the formula;

m=\frac{y_2-y_1}{x_2-x_1}

Taking y₁=24, y₂=20, x₁=9, x₂=12

Then;

m=\frac{20-24}{12-9} =\frac{-4}{3}

write the equation of the function as ;

y=mx+c, c=36( the y-intercept when x=0) hence the equation is;

y=mx+c\\\\y=\frac{-4}{3}x+36

To get x-intercept, substitute value of y with 0

y=mx+c\\\\\\y=-\frac{4}{3} +36\\\\\\0=-\frac{4}{3} x+36\\\\\frac{4}{3}x =36\\\\\\4x=36*3\\\\\\x=108/4=27

This means that the x-intercept is 27 ,and this means you will require 27 minutes to cover the whole distance to the school.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What are the numbers called in a multiplication sentence
    13·2 answers
  • Write the equations in graphing form, then state the vertex of the parabola or the center and radius of the circle.
    9·1 answer
  • What is the solution of the system of equations? <br> 2x-y=7 <br> Y=2x+3
    15·1 answer
  • If x &gt; 0, then the expression ((x^3)^-2)^5 is equivalent to
    12·1 answer
  • The humidity dropped an average of 1 1/3% each hour over the last six hours. What was the total change in humidity?
    6·1 answer
  • You apply the
    7·1 answer
  • Please Help!! I will give 50 points and brainliest..<br> The question is attached below
    10·1 answer
  • When you reflect a point over the x-axis you negate the y value. <br> True<br> False
    10·1 answer
  • Find three numbers between –0.55 and –0.54
    15·1 answer
  • PLS HURRY TIMED!!!<br><br> .<br> .<br> .<br> .<br> .<br> .<br> .<br> .
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!