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Ksivusya [100]
3 years ago
13

A triangle has angles that measure 85 degrees and 37 degrees what is the measure of the third angle​

Mathematics
1 answer:
anygoal [31]3 years ago
8 0

Answer:

58

Step-by-step explanation:

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Maria has recently retired and requested an extra ​$444.00 per year in income. She has $ 5400 to invest in an​ A-rated bond that
Dimas [21]

Answer:

$2400 in A rated bond and $3000 in B rated bond.

Step-by-step explanation:

We have been given that Maria has recently retired and requested an extra ​$444.00 per year in income.

We can represent this information in an equation as:

A+B=5400...(1)

She has $5400 to invest in an​ A-rated bond that pays 10% per annum or a​ B-rated bond paying 6% per annum.

0.10A+0.06B=444...(2)

From equation (1), we will get:

A=5400-B

Substitute this value in equation (2):

0.10(5400-B)+0.06B=444

540-0.10B+0.06B=444

540-0.04B=444

540-540-0.04B=444-540

-0.04B=-96

\frac{-0.04B}{-0.04}=\frac{-96}{-0.04}

A=2400

Therefore, Maria should invest $2400 in A-rated bond.

Substitute A=2400 in equation (1):

2400+B=5400

2400-2400+B=5400-2400

B=3,000

Therefore, Maria should invest $3000 in B-rated bond.

6 0
3 years ago
Into a bucket, 3.705 liters of water flowed in 7.8 minutes.
Doss [256]
0.475 liters per minute. You need to set up a proportion. 
3.705L        X
-----------     --------
7.8 Min        1Min
Then you cross multiply(3.705*1) and divide(3.705/7.8) and you get your X. 
4 0
3 years ago
What is the expression in simplest radical form?<br><br> √384
Viefleur [7K]
√384 = <span>√2x2x2x2x2x2x3x2
          = 8</span><span>√6

Hope this helps!</span>
6 0
3 years ago
The variables y and x^2 are directly
choli [55]

Answer:

y = \frac{20}{21} x²

Step-by-step explanation:

Given that y and x² are directly proportional then the equation relating them is

y = kx² ← k is the constant of proportion

When x = 2

y = k × 2² = 4k

When x = 5

y = k × 5² = 25k

Then

25k - 4k = 20 ( difference between values is 20 )

21k = 20 ( divide both sides by 21 )

k = \frac{20}{21}

y = \frac{20}{21} x² ← equation of proportion

6 0
3 years ago
Is 3/4 bigger than 3/5
Svet_ta [14]
Yes, 3/4 is bigger than 3/5.
One way you can verify this is by drawing a bar model, and cut it into four. Color in three pieces.
Then, draw another bar model the same size as the first one, and cut it into five pieces.
Color in three pieces.
You can see that 3/4 has more shaded in area than 3/5.
Another way you can do this is by dividing the numerator by the denominator for both fractions.
Hope this helped.
8 0
4 years ago
Read 2 more answers
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