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hoa [83]
3 years ago
11

15. Which expression can go in the blank to make the equation true?

Mathematics
1 answer:
topjm [15]3 years ago
6 0
The answer is A
-6.9+6.8 is equal to -0.1, and -5.4+5.5 is 0.1. If you add those two together, you get zero.
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Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a
Zielflug [23.3K]

Answer:

The area of the associated sector is \frac{25}{24}\pi \ in^{2}  

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

C=2\pi r

we have

C=5\pi\ in

substitute and solve for r

5\pi=2\pi r

r=2.5\ in

step 2

Find the area of the circle

we know that

The area of the circle is equal to

A=\pi r^{2}

we have

r=2.5\ in

substitute

A=\pi (2.5^{2})=6.25\pi\ in^{2}

step 3

Find the area of the associated sector

we know that

2\pi\ radians subtends the complete circle of area 6.25\pi\ in^{2}

so

by proportion

Find the area of a sector with a central angle of \pi/3\ radians

\frac{6.25\pi }{2\pi} =\frac{x}{\pi/3}\\x=6.25*(\pi/3)/2\\ \\x=\frac{25}{24}\pi \ in^{2}

8 0
3 years ago
What is the slope of the line represented by 5x- 12y = 24
madam [21]

Answer: Slope= 0.833/2.000= 0.417

​

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
One astronomical unit is about 93,000,000 miles. At 20,000 miles per hour how many astronomical units can Orion travel? ( Orion
uranmaximum [27]

Answer:

2.15\times 10^{-4}\ AU

Step-by-step explanation:

Given that:-

The speed of the orion= 20,000 miles per hour

Time = 1 hour ( From source )

Thus,

Distance = Speed * Time = 20,000*1 miles = 20,000 miles

Thus, in 1 hour, the orion can travel 20,000 miles

Also,

93,000,000 miles = 1 astronomical unit

1 mile = 1/93,000,000 astronomical unit

20,000 miles = (1/93,000,000)*20,000 astronomical unit

<u>The orion can travel 2.15\times 10^{-4} AU in one hour.</u>

4 0
3 years ago
Libby wants to buy 290 raspberry yogurts. They are sold in packs of 4. How many packs does she need to buy?
oksano4ka [1.4K]

Answer:

73 packs

Step-by-step explanation:

Find how many packs she has to buy by dividing 290 by 4, since each pack has 4 yogurts.

290/4

= 72.5

Since we need a whole number answer, round this up:

72.5

= 73

So, Libby will need to buy 73 packs

3 0
3 years ago
Solve 3x + 9 = 24.<br> A. x = 5<br> B. x = 11<br> C. x = 12<br> D. x = 18
DIA [1.3K]

Answer:

A. x = 5

Step-by-step explanation:

3x + 9 = 24

→ Minus 9 from both sides

3x = 15

→ Divide both sides by 3

x = 5

4 0
2 years ago
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