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Virty [35]
3 years ago
12

For the following right triangle, find the side length. Round your answer to the nearest hundredth

Mathematics
2 answers:
Mars2501 [29]3 years ago
5 0

Answer:

9.75

Step-by-step explanation:

To do this problem, use the Pythagorean Theorem, a^2 + b^2 = c^2. Right now, you have that a = 7 and c = 12, so it would be

7^2 + b^2 = 12^2\\49 + b^2 = 144\\b^2 = 95\\b = \sqrt{95}

Rounding to the nearest hundredth, you get: 9.75

IRINA_888 [86]3 years ago
4 0

Answer:9.75

Step-by-step explanation:12x12 =144 and 7x7= 49 subtract 144-49 and get 95 the square root of 95 is approximately 9.747 rounded to the nearest hundredths place is 9.75

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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

so

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
3 years ago
Answers please! I’m a bit confused
scoray [572]

Answer:

all work is shown and pictured

5 0
3 years ago
Read 2 more answers
Write thevfraction as a mixed number 31/6
Alex787 [66]
The fraction 31/6 as a mixed number would be 5 1/6 because 6 goes into 31 5 times and you have 1 left over! So it would be 5 1/6. Hope that helps!
4 0
3 years ago
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Which number between 20 and 28 are prime
ad-work [718]
Prime numbers basically numbers that dont have any numbers that will be multiplied to get to it. So, it would be:
 23
-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-
All the other numbers in between can be divided by something and not become a decimal. Other than 23, it can be divided by anything without becoming a decimal.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
<em>~Hope this helped :)</em>
4 0
4 years ago
Read 2 more answers
Can someone help idk if this is right
navik [9.2K]

Answer:

a_n=-3 \cdot a_{n-1}

a_1=2

You gave the explicit form.

Step-by-step explanation:

You gave the explicit form.

The recursive form is giving you a term in terms of previous terms of the sequence.

So the recursive form of a geometric sequence is a_n=r \cdot a_{n-1} and they also give a term of the sequence; like first term is such and such number. All this says is to get a term in the sequence you just multiply previous term by the common ratio.

r is the common ratio and can found by choosing a term and dividing by the term that is right before it.

So here r=-3 since all of these say that it does:

-54/18

18/-6

-6/2

If these quotients didn't match, then it wouldn't be geometric.

Anyways the recursive form for this geometric sequence is

a_n=-3 \cdot a_{n-1}

a_1=2

5 0
3 years ago
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