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Shalnov [3]
3 years ago
9

Use the figure to find x.

Mathematics
1 answer:
velikii [3]3 years ago
3 0

Answer:

Step-by-step explanation:

The sides of a 30-60-90 triangle are in the ratio 1:√3:2

The side opposite the 30° angle is (12√6)÷2 = 6/√6.

The side opposite the 60° angle is √3×6/√6 = 6/√2 =3√2.

The sides of a 45-45-90 triangle are in the ratio 1:1:√2

The hypotenuse is 3√2, so the side opposite the 45° angle is 3.

x = 3

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Sam is driving at a speed of 15 meters per per second. He travels the distance from his home to his friends house in 90 minutes.
Dominik [7]

Answer:

81 km

Step-by-step explanation:

Speed = distance / time

speed and time are measured in different units, thus, time has to be converted to seconds

60 second = 1 minute

90 x 60 = 5400 seconds

15 m /s = distance / 5400 seconds

distance = 81,000 metre

1000m = 1 km

81000 / 1000 = 81km

6 0
2 years ago
Jasper need to buy enough flour to make three dozen cookies in One Love pumpkin bread the cookies need 2 1/3 cups of flour in th
Artemon [7]

Answer:

  an estimate is sufficient

Step-by-step explanation:

Assuming the given numbers represent all of the flour Jasper needs, he can estimate that he will need more than 4 cups and less than 4 1/2 cups. It is unlikely that a package of flour will have the exact amount needed, so this estimate is probably sufficient to determine what to buy.

8 0
3 years ago
Pls answer 1 and 2 and find the solution for me.
mestny [16]

Answer:

y=-3/2x-5

y=x+5

(-4,1)

y=-3/2x+5

y=1/2x

(6,-4)

Step-by-step explanation:

the graph was a bit blurry but I believe this is right

5 0
3 years ago
Solve the following inequality. 2 x < 8
JulsSmile [24]

Answer:

x < 4

Step-by-step explanation:

Step 1: Write inequality

2x < 8

Step 2: Divide both sides by 2

x < 4

We see here that any value of <em>x</em> less than 4 will work. So numbers like 1, 0, -124 or even -14687206589174 would work.

8 0
3 years ago
Read 2 more answers
How much simple interest would x dollars earn in 13 months at a rate of r percent
soldi70 [24.7K]

Answer:

I=\frac{13xr}{1,200}

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Simple interest Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal form

t is Number of Time Periods in years

in this problem we have

t=(13/12)\ years\\ P=\$x\\r=(r/100)

substitute in the formula above

I=x(r/100)(13/12)

I=\frac{13xr}{1,200}

7 0
3 years ago
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