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Dmitry_Shevchenko [17]
3 years ago
10

If it take 10 hours to get 50% how many hours are 32%

Mathematics
1 answer:
love history [14]3 years ago
8 0

ANSWER

6.4 hours

EXPLANATION

if it takes 10 hours to get 50%, then it will take less number of hours to get 32%

We use proportion to solve this question.

If less more divides.

The number of hours it will take to get 32% is

=  \frac{32\% \times 10}{50\%}

= 6.4

Hence it will take 6.4 hours to get 32%

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In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle
aleksandr82 [10.1K]

Answer:

B = 108

C = 36

D = 36

Step-by-step explanation:

Given

B =13x - 35

C = 5x - 19

D=2x+14

BC = BD

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

B + C + D = 180

Since BC = BD, then C = D

B + C + D = 180 can then be rewritten as:

B + C + C = 180

B + 2C = 180

Substitute values for B and C

13x - 35 + 2(5x - 19) = 180

Open Bracket

13x - 35 + 10x - 38 = 180

Collect Like Terms

13x + 10x = 180 + 38 + 35

23x= 253

Divide both sides by 23

x = 11

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

B =13x - 35

B = 13 * 11 - 35

B = 108

C = 5x - 19

C = 5 * 11 - 19

C = 36

D=2x+14

D = 2 * 11 + 14

D = 36

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If x : 3 = 5 : 7 , then x = ………
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Answer:

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Write the product as a sum: 14cos(39x)sin(19x)
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Recall that

sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)

sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)

Adding these together gives

sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)

To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :

7 (sin(19<em>x</em> + 39<em>x</em>) + sin(19<em>x</em> - 39<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) - sin(20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

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Answer:

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hope this helps!

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It is the answer M: 1
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