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REY [17]
3 years ago
10

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0

Step-by-step explanation:

given hypotenuse (H), find opposite (O) :

using sin ( SOH),

sin 45° = opp. / hyp.

sin 45° = x / 4√2

x = 4√2 × sin 45°

x = 4

hope this helps you!

-s.

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4 0
3 years ago
Please help me. I really appreciate it if you answered. Thank you! <3
exis [7]

Answer:

$3100 is invested at 9%

$4900 is invested at 11%

Step-by-step explanation:

Let's take "x" be the amount invested at 9%.

(x + 1800) is invested in another account at 11%.

The interest amount earned by the two accounts is $818.

Here we can use the simple interest formula and find the amount invested in each account.

Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.

Simple interest =

0.09x + 0.11(x+1800) = 818

Now we have to simplify and find the value of x .

Use the distributive property and simplify the second term.

0.09x + 0.11x + 198 = 818

0.2x + 198 = 818  

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0.2x = 620

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x = 3100.

So $3100 is invested at 9%

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$4900 is invested at 11%

Hope this helped.

6 0
4 years ago
Pls answer and you will be blessed :)
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Answer:

2

Step-by-step explanation:

It is the only one that makes sense

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