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Anna [14]
2 years ago
14

Find the constant of proportionality. what is the percent decrease? the input is 20 and the output is 16. I’ve been stuck on thi

s problem for a long time please help!
Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
5 0

Answer:

80%

Step-by-step explanation:

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A new branch in its first year opened new accounts at a rate of 40 for every 100 customers calls. The total number of new accoun
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40 new accounts          for:   100 customer calls
10,000 new accounts   for:   x customer calls.     
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40 :  10,000 = 100 : x
x = (100 · 10,000 ) : 40 = 25,000
Answer: 25,000 customer calls were made.
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2 years ago
Help! Please help me find the measure of x, the missing angle shown below -
FromTheMoon [43]

Answer:

x=21.8

Step-by-step explanation:

The angles are complementary, and add to 90 degrees. We know this because of the little square in the corner.

x+68.2=90

Solve for x by isolating it. To do this , subtract 68.2 from both sides

x+68.2-68.2=90-68.2

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2 years ago
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-b+10b+2b+17=6 please help me
anzhelika [568]

Answer:

-1

Step-by-step explanation:

-b+10b+2b+17=6

9b+2b+17=6

11b+17=6

11b=6-17

11b=-11

b=-1

5 0
2 years ago
Someone please help me with this one quick
astraxan [27]

The length of AC is 16 km.

Solution:

Given data:

AB = c = 14 km, ∠A = 30° and ∠B = 89°

AC = b = ?

<u>Let us first find angle C:</u>

<em>Sum of all angles in a triangle = 180°</em>

m∠A+ m∠B + m∠C = 180°

30° + 89° + m∠C = 180°

119° + m∠C = 180°

Subtract 119° from both sides, we get

m∠C = 61°

<u>To find the length of AC:</u>

<em>Using sine formula:</em>

$\frac{b}{\sin B } =\frac{c}{\sin C}

Substitute the given values in the formula.

$\frac{b}{\sin 89^\circ } =\frac{14}{\sin 61^\circ }

Multiply by sin 89° on both sides.

$\sin 89^\circ \times \frac{b}{\sin 89^\circ } =\frac{14}{\sin 61^\circ } \times \sin 89^\circ

$b=\frac{14}{0.8746 } \times0.9998

b=16

The length of AC is 16 km.

4 0
2 years ago
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