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disa [49]
4 years ago
12

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
docker41 [41]4 years ago
5 0

Answer:

x = 8 sqrt(2)

Step-by-step explanation:

Since this is a right triangle

sin 45 = opp side/ hypotenuse

sin 45 = 8/x

Multiply each side by x

x sin 45 = 8/x *x

x sin 45 = 8

Divide each side by sin 45

x sin 45 /sin 45 = 8 /sin 45

x = 8 / sin 45

We know sin 45 = 1/ sqrt (2)

x = 8 / 1 / sqrt(2)

x = 8 sqrt(2)

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What is the equation of the line in slope-intercept form?
kari74 [83]

Answer:

y=400/300x

Step-by-step explanation:

6 0
3 years ago
mat deposited $2,000.00 in the bank. if the rate of simple interest was 10%, what was the amount of money mat had in the bank af
Mekhanik [1.2K]
Principal amount of money deposited by Mat in the bank = $2000
Rate of simple interest given by the bank = 10%
Number of years for which the money is kept in the bank = 5 years
As no money was withdrawn from the account, so
Amount after 5 years = Principal [1 + (Rate * Time)]
                                  = 2000 [ 1 + (10/100) * 5]
                                  = 2000 [ 1 + (1/2)]
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                                 = 3000 dollars
So the amount of money made by Mat after 5 years will be $3000.00
8 0
3 years ago
Luis skates 2/3 mile from his home to school. Isabella skates 2/4 mile to get to school. Who skates father?
iogann1982 [59]
In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.

The least common denominator of 3 and 4 is 12.  This means that we have to change both fractions into equal fractions with denominators of 12.

To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions.  We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8

Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.

If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.

Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school.  Because they have the same denominator, we can just compare the numerators.  We know that 8 is greater than 6, thus Luis skates farther to get to school.

3 0
3 years ago
Can someone please help me with 7-
Helga [31]

Answer:

The answer is the second one , 0=5 , no solutions .

Step-by-step explanation:

Good luck

5 0
3 years ago
Find the area of a segment formed by a chord 8" long in a circle with radius of 8"
AlekseyPX
r=8\\\\P=\pi r^2\\\\P=\pi\cdot8^2=64\pi
5 0
3 years ago
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