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2 years ago

Hopefully you can see it! Look on my profile to see more questions! Love y'all <3

Mathematics

1 answer:

uranmaximum [27]2 years ago

4 0

120 in 1 minute 600 in 5 minutes and 960 in 8 minutes

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What is the solution to this equation?

padilas [110]

Answer:

x=3

Step-by-step explanation:

10-3x+8x=25

-10 -10

-3x+8x= 15

5x=15

5x/5=15/5

x=3

6 0

3 years ago

Finding area of shaded sectors.

tekilochka [14]

Answer:

69.81 sq. m. (rounded to 2 decimal places)

Step-by-step explanation:

The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

$A=\frac{\theta}{360}*\pi r^2$

Where

$\theta$ is the central angle

r is the radius

Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

$\theta = 80$

Also, the radius of the circle shown is 10 meters, so

r = 10

Now, we substitute in formula and find our answer:

$A=\frac{\theta}{360}*\pi r^2\\A=\frac{80}{360}*\pi (10)^2\\A=\frac{2}{9}*100\pi\\A=\frac{200\pi}{9}\\A=69.81$

Thus,

The area of the shaded sector is 69.81 sq. meters.

5 0

2 years ago

8. Phil received a commission of 5% on

faltersainse [42]

Answer:

$95,600

Step-by-step explanation:

the question can be rephrased as '4780 is five percent of what number'?

we can use the ratio of 'is/over' = %/100 to solve

'is' = 4780

'of' = selling price of house ('p')

4780/p = 5/100

now cross-multiply:

5p = 478000

p = 95600

4 0

1 year ago

A rectangular prism has a length of 212 centimeters, a width of 212 centimeters, and a height of 5 centimeters. Justin has a sto

BlackZzzverrR [31]

Answer:

$3.75\ cm^{3}$ or $3\frac{3}{4}\ cm^{3}$

Step-by-step explanation:

step 1

Find the volume of the rectangular prism

we know that

The volume of a rectangular prism is

$V=LWH$

In this problem we have

$L=2\frac{1}{2}\ cm=\frac{2*2+1}{2}=\frac{5}{2}\ cm$

$W=2\frac{1}{2}\ cm=\frac{2*2+1}{2}=\frac{5}{2}\ cm$

$H=5\ cm$

substitute in the formula

$V=(\frac{5}{2})(\frac{5}{2})(5)=\frac{125}{4}=31.25\ cm^{3}$

step 2

Find the difference between the volume of the prism and the volume of the storage container

$35\ cm^{3}-31.25\ cm^{3}=3.75\ cm^{3}$

$3.75=3\frac{3}{4}\ cm^{3}$

3 0

3 years ago

2 times the sum of a number and 5 is 20

d1i1m1o1n [39]

The number is 5. Steps shown below

8 0

3 years ago

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