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2 years ago

A triangle has a leg of 8 and an angle of 16.5 what is the hypotenuse?

Mathematics

1 answer:

Anna11 [10]2 years ago

7 0

Answer:

Step-by-step explanation:

If you have an angle and the side opposite to it, you can divide the side length by sin(θ) to get the hypotenuse. Alternatively, divide the length by tan(θ) to get the length of the side adjacent to the angle.

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How are natural numbers, whole numbers and integers used in everyday life?

Nezavi [6.7K]

Natural numbers: Counting things! You look around your room and see an electronic device, then another, then another! You just counted to 3 using the natural numbers.

Whole numbers! You try to look for electronic devices and realise that they’re all gone. You have zero electronic devices, and you just used whole numbers.

You go online to find where your electronic devices went, and realise they were taken because you’re in debt to the bank so they took some of your stuff. You’re in negative numbers, and now you’ve used integers.

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2 years ago

You invested $ 7000 between two accounts paying 3 % and 5 % annual? interest, respectively. If the total interest earned for the

natita [175]

Answer:

In the first account was invested $\$3,000$ at 3%

In the second account was invested $\$4,000$ at 5%

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

First account

$t=1 years\\ P=\$x\\ r=0.03$

substitute in the formula above

$I=x(0.03*1)$

$I=0.03x$

Second account

$t=1 years\\ P=\$(7,000-x)\\ r=0.05$

substitute in the formula above

$I=(7,000-x)(0.05*1)$

$I=350-0.05x$

Remember that

The interest is equal to $\$290$

Adds the interest of both accounts

$0.03x+350-0.05x=\$290$

$0.05x-0.03x=350-290$

$0.02x=60$

$x=\$3,000$

therefore

In the first account was invested $\$3,000$ at 3%

In the second account was invested $\$7,000-\$3,000=\$4,000$ at 5%

7 0

2 years ago

jill mowed lawns for 3 hours and earned $7.20 per hour.Then she washed windows for 4 hours and earned $6.75 per hour. what were

Aleksandr-060686 [28]

Actually, she worked for seven hours, so I'll solve for that.

7.20 x 3 = 21.6

6.75 x 4 = 27

21.6 + 27 = 48.6

48.6 /2 = 24.3

Her average should be $24.3 If she did work six hours, just multiply 6.75 x 3 and do what I did.

5 0

3 years ago

Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. If a student’s z-

murzikaleks [220]

z = (x - 500) / 100

1.75 = (x - 500) / 100

175 = x - 500

675 = x

3 0

3 years ago

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Which equation represents the standard form of the equation y= (x + 3)² - 4?