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KiRa [710]
3 years ago
10

If a and b are the measures of two first quadrant angles and sin a = 4/5 and sin b = 5/13, find tan(a-b)

Mathematics
2 answers:
kaheart [24]3 years ago
4 0

Answer:

on edge its 33/56

Step-by-step explanation:

masha68 [24]3 years ago
3 0
We have the formula tan( a- b ) = ( tan a - tan b ) / ( 1 + tan a· tan b );
We use the formula (sin x)^2 + (cos x)^2 = 1;
Because sin a = 4/5 we have cos a = 3/5; then tan a = sin a / cos a = 4 / 3;
Because sin b = 5 / 13 we have cos b = 12 / 13; then tan b = sin b / cos b = 5 /12;
Finally, tan ( a - b ) = ( 4 / 3 - 5 / 12 ) / ( 1 + (4 / 3)·( 5 / 12 ) ) = ( 9 / 12 ) / ( 1 + 5 / 9 ) = ( 3 / 4 ) / ( 14 / 9 ) = ( 3 / 4 )·( 9 / 14 ) = 27 / 56.
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sweet-ann [11.9K]

Answer:

750 square feet

Step-by-step explanation:

The area of a triangle is 1/2bh

Now, we can plug our values in.

1/2(100)(15)

Simplify

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7 0
3 years ago
Algebra 2 <br> 50 POINTS <br> HELP
xenn [34]

Answer:

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Step-by-step explanation:

For an equation to be negative, it would need to be in a negative range (below the x-axis or the coordinates are negative y-values). Therefore, we can examine this question and see that the graph is negative when the function crosses the x-axis at -3 and it remains negative until you reach 2 on the x-axis.

Therefore, the first set of negative values is (-3, 2).

Secondly, applying the same logic as before, the function decreases at 2 and then touches the x-axis again at 5. Therefore, the second negative value would be (2, 5).

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6 0
4 years ago
26 out of 48 books are small. What percentage of the books are small?
Paraphin [41]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Determine if y varies directly with x. Give the constant of variation, when appropriate. (picture below)
maxonik [38]

Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.

<h3>Variation</h3>

y = k × x

where,

k = constant of proportionality

y = -40

x = -5

y = k × x

-40 = k × -5

-40 = -5k

k = -40/-5

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when,

y = 8 and x = 2.5

y = k × x

8 = k × 2.5

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k = 8/2.5

k = 3.2

when,

y = 5 and x = 4

y = k × x

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5 = 4k

k = 5/4

k = 1.25

Learn more about variation:

brainly.com/question/6499629

#SPJ1

5 0
2 years ago
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Fudgin [204]

Answer:

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Step-by-step explanation:

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