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3 years ago

Given that b=8,a=3,and b=65,find the measure of A. 19.9 or 160.1 B.19.9 C160.1 D not a triangle

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

4 0

Answer: B. 19.9

Step-by-step explanation: Set up an equation where sin and the degree angle is in the numerator, and the side length is in the denominator.

Sin65/8 = Sinx/3

Plug Sin65 into your calculator and you will get 0.9063. Divide this number by 8.

0.9063/8 = 0.1133

Your equation is now 0.1133 = sinx/3

Multiply by 3 on each side.

0.3399 = sinx

Put sin on the left side. It will look like:

Sin^-1(0.3399) = x

Press enter on your calculator. You will get

X = 19.9.

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50 POINTS!!! WILL MARK BRAINLIEST!!! CORRECT ANSWERS PLS 1 HOUR LEFT

Brut [27]

Answer:

○ 3

○ y + ½ = 3(x - 2)

○ Multiply both sides of the equation by 3. The Standard Form of the equation is 12x - 2y = 24.

○ 5x - 3y = 15

○ y = ½x + 5⁄2

Step-by-step explanation:

Find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m → (-1, 1) and (-2, -2)

$\frac{2 + 1}{2 - 1} = 3$

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According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting this coordinate into the formula with their CORRECT SIGNS:

(2, -½) → y + ½ = 3(x - 2)

__________________________________________________________

We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it:

-3[4x - ⅔y = 8] → -12x + 2y = -24

** They should have multiplied by -3 instead of 3 because that negative is hooked up to everything in the fraction, but since the exercise gave you 12x - 2y = 24, go with 12x - 2y = 24.

__________________________________________________________

If you would take a look at this graph real closely, you will see that this graph intersects the y-axis and x-axis at ENDPOINTS, so to find the x-intercept, you simply plug in zero for y: 5x = 15, and you will know right away that x is set to equal 3, which is what you see in the graph, (3, 0). Now, to find the y-intercept, you simply plug in zero for x: -3y = 15, and you will know right away that y is set to equal -5, which is what you see on the graph as well, (0, -5). With that being said, you have your answer.

__________________________________________________________

y - 3 = ½(x - 1)

y - 3 = ½x - ½

+ 3 + 3

_____________

y = ½x + 2½

* 2½ = 5⁄2

I am joyous to assist you anytime.

4 0

3 years ago

Regan's New Year's resolution is to exercise more. Today, she plans to run 1.5 miles on the track around her school's football f

Contact [7]

Answer:

6 laps

Step-by-step explanation:

According to the scenario, calculation of the data are as follows:

Each lap = 0.25 miles

Regan's plan to run= 1.5 miles

So, we can calculate number of laps by using following formula,

Number of laps = Total miles to run ÷ each lap miles

By putting the value, we get

Number of laps = 1.5 miles ÷ 0.25 miles

= 6 laps

So, she should run 6 laps.

7 0

2 years ago

Devon's father is installing new wood flooring. He bought boards that are 10 ft long, 3/4 in. thick, and 11/24 in. wide. Determi

kvv77 [185]

Answer:

36 boards

Step-by-step explanation:

The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.

Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)

I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.

Therefore he needs 36 boards

5 0

3 years ago

You are making a new type of deodorant from two different mixtures the first mixture is 30% smell proof and the second mixture i

Readme [11.4K]

Answer:

600 L of 30% proof and 400 L of 80% proof is needed

Step-by-step explanation:

Let the amount of 30% smell proof be x while that of 80% smell proof is y

Then;

x + y = 1000 •••••(i)

Also;

30% of x + 80% of y = 50% of 1000

0.3x + 0.8y = 500 •••••(ii)

From i, x = 1000 - y

Put this into ii

0.3(1000-y) + 0.8y = 500

300 - 0.3y + 0.8y = 500

0.5y = 500-300

0.5y = 200

y = 200/0.5

y = 400 L

But x = 1000 - y

x = 1000 - 400 = 600 L

3 0

3 years ago

which of these pairs of points defines a line whith a slope of 2/3 A. (2, 6) and (3, 0) B. (6, 2) and 3, 0) C. (6, 2) and (0, 0)

JulsSmile [24]

The answer for the question is B

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3 years ago