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Lady_Fox [76]
3 years ago
6

Which set of ordered pairs represents a function?

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
7 0
Your answer would be C im pretty sure
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In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}

Thus,

MH=1.43\cos 69^{\circ}\approx 0.51\ cm

7 0
2 years ago
∠AZB and ∠CZB are supplementary. The m∠AZB = 2x - 4 and m∠CZB = 8x + 4. What is the measure of each angle?
g100num [7]
The answer is A because when you add the angles to get they equal 180. Then just solve for x.

The drawing isn't to scale

7 0
3 years ago
Read 2 more answers
Find the distance between the points (1, 7) and (10, 1)<br> Please help:)
klio [65]

Answer:

<em>The distance between the points (1, 7) and (10, 1) is 10.82 units</em>

Step-by-step explanation:

<u>Distance between two points </u>

The distance between points A(x,y) B(w,z) can be calculated with the formula:

d=\sqrt{(z-y)^2+(w-x)^2}

We are given the points (1,7) and (10,1), let's use their values and compute the required distance:

d=\sqrt{(1-7)^2+(10-1)^2}

d=\sqrt{(-6)^2+(9)^2}

d=\sqrt{36+81}=\sqrt{117}\approx 10.82

The distance between the points (1, 7) and (10, 1) is 10.82 units

7 0
3 years ago
Rewrite the following subtraction problem as an addition problem.
blsea [12.9K]

Answer:

x+129=592

Step-by-step explanation:

add 129 to each side

5 0
2 years ago
Simplify 2-1 + 5* 4 + 11
kozerog [31]

Answer:32

Step-by-step explanation:firs we multiply 5*4 =20 .then we subtract 2-1=1 add those numbers 20+1=21 and then add 11 which equals 32

4 0
3 years ago
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