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2 years ago

(Photo attached) Trig question. I partially understand it, but not completely. Please explain! :) Thanks in advance.

Mathematics

1 answer:

aliya0001 [1]2 years ago

5 0

Answer:

A = 2
B = 3

Step-by-step explanation:

You can start by recognizing 19/12π = π +7/12π, so the desired sine is ...

sin(19/12π) = -sin(7/12π) = -(sin(3/12π +4/12π)) = -sin(π/4 +π/3)

-sin(π/4 +π/3) = -sin(π/4)cos(π/3) -cos(π/4)sin(π/3)

Of course, you know that ...

sin(π/4) = cos(π/4) = (√2)/2

cos(π/3) = 1/2

sin(π/3) = (√3)/2

So, the desired value is ...

sin(19π/12) = -(√2)/2×1/2 -(√2)/2×(√3/2) = -(√2)/4×(1 +√3)

Comparing this form to the desired answer form, we see ...

A = 2

B = 3

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12) -7(-8 + y - 10 – x); use x = -3, and y = 10<br> A) 35<br> B) 40<br> C) 34<br> D) 25

cluponka [151]

Answer:

Step-by-step explanation:

56-70+70-21

126-91

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3 years ago

Write an equation of the line that passes through (1,2) and is parallel to the line y = -5x+4

ArbitrLikvidat [17]

Answer:

y =-5x + 7

Step-by-step explanation:

y = -5x + 4

Slope = -5

Parallel lines have same slope

Slope of the parallel line to this line = -5

(1 , 2)

y -y1 =m(x - x1)

y - 2 = -5(x - 1)

y -2 = -5x + 5

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y = -5x + 7

8 0

3 years ago

What is the reciprocal of 1 8/9

notka56 [123]

Answer: 9/17
Reason

The reciprocal is simply flipping the denominator and numerator of a fraction.

1-8/9 as a mixed fraction is 17/9
So the reciprocal would be to flip it,
Giving you 9/17 which is in its simplest form

6 0

1 year ago

Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall 60 feet is 0.25(radic

AnnZ [28]

We are given

Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall 60 feet is 0.25(radical60).

so, time is

$T=0.25\sqrt{60} =\frac{1}{4} \sqrt{60}$

we have to approximate it's value

First approximation set:

we know that

$49$

we can take sqrt all the sides

$\sqrt{49}$

we can simplify it

$7$

Divide all sides by 4

$\frac{7}{4}< \frac{1}{4} \sqrt{60}$

Second approximation set:

$7.7$

Divide all sides by 4

$\frac{7.7}{4}$

$1.925$

Third approximation set:

$7.74$

Divide all sides by 4

$\frac{7.74}{4}$

$1.935$

so, we get

$t=1.94seconds$ ......Answer

7 0

2 years ago

Use Heron's formula to find the area of the triangle. Round to the nearest square unit.

kakasveta [241]

Answer:

24.25 in²

Step-by-step explanation:

s = (a + b + c)/2 = (8 + 13 + 7)/2 = 14 in

s - a = 6, s - b = 1, s - c = 7

the area = $\sqrt{14\times6\times1\times7}=24.25$

8 0

2 years ago