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marysya [2.9K]
2 years ago
6

What is the measure of an angle if the hypotenuse is 13 and adjacent side is 12?

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
3 0

cos(\theta)=\cfrac{\stackrel{adjacent}{12}}{\underset{hypotenuse}{13}}\implies cos^{-1}[cos(\theta)]=cos^{-1}\left( \cfrac{12}{13} \right) \\\\\\ \theta =cos^{-1}\left( \cfrac{12}{13} \right)\implies \theta \approx 22.62^o

Make sure your calculator is in Degree mode.

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Eddie is looking at a map of Sandy Shore Park. The scale on the map is: 1 inch = 1/2 mile. If Clark's Pond and Vista Ridge are 9
tekilochka [14]

Answer:

4.5 miles

Step-by-step explanation:

Distance = 9 inches

1 inch = 1/2 mile

9 / 1/2 = 4.5

9 inch = 4.5 miles

8 0
3 years ago
Isaac drinks 8 glasses of water each day. He says he will drink 2,920 glasses of water in a year that has 365 days. Is the exact
Amiraneli [1.4K]
Yes because if you check with your math (or a calculator) 365 times 8 is 2,920. Therefore, Isaac's answer is reasonable. Another way you can maybe do it is round 365 days to 370 and 8 to 10 and then multiply. 370 times 10 is 3,700. Since 2,920 is close to 3,700, then the answer is reasonable. 

Hope I helped!!
7 0
4 years ago
Please help me with these two questions I am having trouble
Evgesh-ka [11]

Answer:

1. 8820.26 yds^2

2. 101.265 m^2

Step-by-step explanation:

For both problems you need to use the equation π*r^2 which is the area of a circle and where r is the radius of the circle. The radius is also equal to 1/2 the diameter so using this we can figure out the are of the first circle

For the second problem we have to find the area of the circle with and without the sidewalk around it and subtract them from each other

7 0
3 years ago
The school that Scott goes to is selling tickets to the annual dance
zalisa [80]
Senior tickets (x)
Child tickets (y)

First day: 3x + 5y = 70

second day: 12x + 12y = 216

Solve the system of equations (use elimination)

Multiply first equation by -4 -4(3x + 5y = 70), which makes it

-12x - 20y = -280
(+)12x + 12y = 216 add to second equation

-8y = -64

divide by -8. y = 8

Plugin the y value to either equation ( I will choose first equation)

3x + 5(8) =70

3x+ 40 = 70

3x = 30

x = 10

Senior tickets are $10, child tickets are $8
4 0
3 years ago
Timothy paid $14,850 for a used car 4 years ago. Because he did not properly maintain the car, he sold it for $3,960. What was h
TEA [102]

Answer:

Depreciation rate = 16.32%

Step-by-step explanation:

First we calculate the annual depreciation of the car

Annual Depreciation = (Cost of  car – Net Scrap Value of car)/Useful Life

Details

Cost of Car= $14850

Net scrap Value of car= $3,960

useful Life=4

Thus: Annual Depreciation = ($14850-$3,960)/4

                                            = $2,722/year (Annual Depreciation)

Rate = Annual Depreciation/Cost of car X 100%

       = $2,722/$14,850 X 100%

Depreciation rate = 16.32%

8 0
3 years ago
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