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prohojiy [21]
3 years ago
13

In AHIJ, m_H=(8x-6)°, m_1=(2x-4)', and m2)=(x-8)". Find mcH.

Mathematics
1 answer:
blondinia [14]3 years ago
5 0

9514 1404 393

Answer:

  m∠H = 138°

Step-by-step explanation:

Perhaps you have ΔHIJ and want the measure of ∠H.

  ∠H +∠I +∠J = 180°

  (8x-6) +(2x-4) +(x-8) = 180

  11x -18 = 180 . . . . . . collect terms

  11x = 198 . . . . . . . . . add 18

  x = 18 . . . . . . . . . . .  divide by 11

Then angle H is ...

  m∠H = (8(18) -6)°

  m∠H = 138°

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Find the exact value of cos(arcsin(1/4)). For full credit, explain your reasoning.
Westkost [7]
First way
arcsin(1/4) means that 1/4 sin of the angle.

sin(α)=1/4
sin²α+cos²α=1
(1/4)²+cos²α=1
cos²α=1-1/16 =15/16
cosα=+/-(√15)/4

<span>Second way
</span>
sin(α)=1/4 =opposite leg/hipotenuse
cos(α)=adjacent leg/hypothenuse
adjacent leg =√(hypotenuse²- Opposite²)=√(16-1)=√15
cosα=+/-√15/4

For one value of sinα, possible 2 values of cosα.

5 0
3 years ago
Unit cube:
Nutka1998 [239]

Answer:

12 unit cubes

Step-by-step explanation:

There are 4 unit cubes on each layer, and there are 3 layers as you can see. So 4 × 3 would equal 12.

8 0
3 years ago
a cube has edge length 10 cm. starting at the vertices dots are placed along every edge at 1cm intervals. how many dots will the
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Answer:

120 dots

Step by step explanation:

3 0
3 years ago
Jane bought 4 books, 3 cups, and 7 rungs. She paid $4 per book, $5 per cup, and $10 per ring. Estimate her change from $50 bill
vlada-n [284]

Hello!

Let's multiply each thing here.

4(4)=16

3(5)=15

15=16=31

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Therefore, her change is $29.

I hope this helps!

8 0
3 years ago
Read 2 more answers
Please I need help asap
jasenka [17]

Answer:

Option D - x = 3 3/5

Step-by-step explanation:

Lets make the left side into an improper fraction :

2 2/5 = 12/5

Now let's make both fraction into equivalent ones but with the same denominator :

2/3 = 10/15

12/5 = 36/15

Now we substitute the equivalent values back into the equation :

10/15 × x = 36/15

Now we multiply both sides by 15 to remove the denominators:

10 × x = 36

Now we divide both sides by 10 and simplify :

x = 36/10

x = 18/5

x = 3 3/5

So our answer will be Option D  

Hope this helped and brainliest please

7 0
2 years ago
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