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irinina [24]
3 years ago
15

It’s worth 10 points if you answer!

Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0

Answer:

m∠x = 10°

Step-by-step explanation:

Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.

"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.

The ratios are:

sinθ = opposite/hypotenuse

cosθ = adjacent/hypotenuse

tanθ = opposite/adjacent

θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.

In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.

sinθ = opposite/hypotenuse

sinx = CB/AB      Substitute the labels in the diagram

sinx = 4/23      Substitute known values (side lengths)

x = sin⁻¹(4/23)      Isolate 'x'. Use calculator to solve.

x = 10.015....°      Exact answer

x ≈ 10°      Round to the nearest degree

Therefore the measure of angle x (m∠x) is 10°.

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yulyashka [42]

Answer:

A = 5

B = 9

Step-by-step explanation:

This was very simple!

Nancy needs at least 15 boxes of travoprost but she only has 10. To find out how many she needs, we subtract 15 from 10 to get 5 boxes

Nancy also needs at least 12 boxes of latanoprost but she only has 3. To find out how many she needs, we subtract 12 from 3 to get 9 boxes

Therefore A = 5 boxes; B = 9 boxes

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3 0
3 years ago
Read 2 more answers
What does -4(-8x-8) equal?
slavikrds [6]

Answer:

Lets break it down

( -8 x -8 ) = 64, because a negative x negative always equals a positive

-4 x 64 = -256, because a negative x positive always equals a negative

Your answer is -256.

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>
8 0
3 years ago
Julie has a large red apple in her hand that is 4 ft off the ground. A blue bird sees the apple at an
Dafna1 [17]

Answer:

Step-by-step explanation:

so from the silly drawing,  you can see that the triangle is 4 feet off the ground, and that we want to find the Opp side from our angle of 15 °

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

use TOA to find the Opp side of the triangle .. which is labeled X

Tan(15) = X / 15

15* Tan(15) = X

4.019   =   X

so the bird is up 4 feet in the tree.. not very high up, plus the 4 feet that the apple is already off the ground, soo

the tree... to where the bird is, at least, is 8.019 feet..

did this make sense?  :/  

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6 0
3 years ago
The production department has installed a new spray machine to paint automobile doors. As is common with most spray guns, unsigh
Nesterboy [21]

Answer:

The numbers of doors that will have no blemishes will be about 6065 doors

Step-by-step explanation:

Let the number of counts by the  worker of each blemishes on the door be (X)

The distribution of blemishes followed the Poisson distribution with parameter  \lambda =0.5 / door

The probability mass function on of a poisson distribution Is:

P(X=x) = \dfrac{e^{- \lambda } \lambda ^x}{x!}

P(X=x) = \dfrac{e^{- \ 0.5 }( 0.5)^ x}{x!}

The probability that no blemishes occur is :

P(X=0) = \dfrac{e^{- \ 0.5 }( 0.5)^ 0}{0!}

P(X=0) = 0.60653

P(X=0) = 0.6065

Assume the number of paints on the door by q = 10000

Hence; the number of doors that have no blemishes  is = qp

=10,000(0.6065)

= 6065

3 0
4 years ago
2k-6-7+3k=-48 it is a multi step equation
maxonik [38]

Answer:

k = -7

Step-by-step explanation:

2k+3k-13=-48

5k - 13 = -48

5k = -48 + 13

5k = -35

k = -7

3 0
3 years ago
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