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Ksju [112]
2 years ago
7

How do you solve 9r=3r+6

Mathematics
2 answers:
Lesechka [4]2 years ago
7 0
9r=3r+6
Subtract 3r from both sides
6r=6
Divide both sides by 6
r=1
Anettt [7]2 years ago
4 0

Answer:

r=1

Step-by-step explanation:

9r=3r+6  

-3r -3r

6r=6

/6  /6

r=1

Check your answer:

9(1)=3(1)+6

9=9 ✔️

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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
3 years ago
If a,b,c,d,e are in continued proportion then a/c is equal to what ?​
elena55 [62]

Answer:

huh

Step-by-step explanation:

that don't make no sense

4 0
2 years ago
The length of one side of a regular pentagon is 18.3 cm. What is the perimeter of this pentagon? 
Ket [755]
91.5 is the perimeter. It's just 5a.
3 0
3 years ago
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Fiesta28 [93]

Answer:

3/5

Step-by-step explanation:

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40/100 will be green

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3 0
3 years ago
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