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AlladinOne [14]
2 years ago
11

Find the radius, r, if the circumference is 10π. Formula C = 2πr

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
5 0
10π=2πr
Divide both sides by 2π
10π/2π=r
Simplify
5=r
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Y=(3/5)x -3 and 5y =3x-10 these lines are and the second question?
azamat
Look at the first line:  y = (3/5)x - 3.  What happens if you multiply each term by 5, to eliminate the fraction?

5y = 3x - 3

Compare this to the second equation, 

5y - 3x = -10, or 5y = 3x - 10.

The coefficients of x and y (as 3 and 5 here) determine the slope of a straight line.  Since 5y = 3x is present in both equations, the two lines MUST be parallel.



y = 4
4y = 6   =>   y = 6/4

y+4 and y =3/2 are both horizontal lines.  Since they are horiz., they are parallel.


4 0
3 years ago
The Weston Laundry washes all the linens for local hotels. In 7 days, they washed 285.38 pounds of towels and 353.47 pounds of s
Serhud [2]
In the problem it is already given that Weston Laundry washed 285.38 pounds of towel and 353.47 pounds of sheets from local hotels in 1 day. Firstly we have to find the total pounds of linens that Weston Laundry has washed in 7 days. Then only will it be possible to find the amount of linen washed in a day.
Then t
Total linen washed by Weston Laundry in 7 days = (285.38 + 353.47) pounds
                                                                               = 638.85 pounds.
Then
The amount of linen washed by Weston Laundry in 1 day = 638.85/7
                                                                                             = 91.26 pounds
So Weston Laundry washed about 91.26 pounds of linen each day.


4 0
3 years ago
I will give brainliest to whoever can answer this question. It’s due in 40 min Please help me )):
Aleonysh [2.5K]

Given:

m\angle L=m\angle Z=70^\circ

m\angle N=m\angle Y=90^\circ

To find:

The value of m\angle 1.

Solution:

In triangle XYZ,

m\angle Y=m\angle N=90^\circ        (Given)

m\angle Z=m\angle L=70^\circ         (Given)

m\angle X+m\angle Y+m\angle Z=180^\circ        [Angle sum property]

m\angle 1+90^\circ+70^\circ=180^\circ

m\angle 1+160^\circ=180^\circ

m\angle 1=180^\circ-160^\circ

m\angle 1=20^\circ

Therefore, the m\angle 1 is 20°.

5 0
3 years ago
A pizza is cut into 8 equal pieces. A person who eats 1/2 of one piece eats what fraction of the pizza?
Rudik [331]
The person eats 1/16 of the pizza
5 0
3 years ago
A box of Munchkins contains chocolate and glazed donut holes. If Jacob ate 2 chocolate
neonofarm [45]

Answer:

24 munchkins.

Step-by-step explanation:  

Let C be the number of chocolate and D be number of glazed donut holes in the original box.

We are told if Jacob ate 2 chocolate  munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:

C-2=\frac{1}{11}*(C+D-2)...(1)

We are also told if he instead added 4  glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:

C=\frac{1}{7}*(C+D+4)...(2)

Upon substituting C's value from equation (2) in equation (1) we will get,

\frac{1}{7}*(C+D+4)-2=\frac{1}{11}*(C+D-2)

Let us have a common denominator on right side of equation.

\frac{1}{7}*(C+D+4)-\frac{7*2}{7}=\frac{1}{11}*(C+D-2)

\frac{C+D+4-14}{7}=\frac{1}{11}*(C+D-2)

Multiplying both sides of our equation by 7, we will get,

7*\frac{C+D-10}{7}=7*\frac{1}{11}*(C+D-2)

C+D-10=\frac{7}{11}*(C+D-2)  

Multiplying both sides of our equation by 11, we will get,

11*(C+D-10)=11*\frac{7}{11}*(C+D-2)  

11*(C+D-10)=7*(C+D-2)

11C+11D-110=7C+7D-14

11C-7C+11D-7D=-14+110  

4C+4D=96

4(C+D)=96  

(C+D)=\frac{96}{4}

(C+D)=24

Therefore, the total number of Munchkins in original box is 24.

3 0
3 years ago
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