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shepuryov [24]
3 years ago
5

Find the height of the triangle. hypotenuse=10, right angle, opposite angle=20º

Mathematics
1 answer:
yan [13]3 years ago
7 0

here if 20 degree angle is in base line then we would take sin of 20

because sin theta = height / hupotaneous

sin 20 = height/ 10

height = 10 times sin 20 = 10 times *0.34 = 3.4

But if angle 20 in on the line making height of the triangle then the base line of angle 20 degree would be the height of triangle )

we would take : cos 20 =base / hypotaneous

cos 20 = base / hypotaneous

cos 20 = base / 10

base = 10 cos 20 = 10 * 0.93 = 9.3

As per the given question if 20 degree angle lie on horizontal line answer should be 3.4

OR if angle 20 degree lie on vertical line then answer is 9.3

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2. CHEMISTRY How many liters of 15% acid and
Wewaii [24]

Answer:  

<h3>         26²/₃ liters of 15% acid and 13¹/₃ liters of 33% acid</h3>

Step-by-step explanation:

Concentration            Amount of             Amount

of Solution                   Solution (L)             of Acid

    15%                                x                         0.15x

    33%                               y                         0.33y

    21%                              40                      0.21•40      

       

x + y = 40    ⇒  x = 40 - y

0.15x + 0.33y = 0.21•40

0.15(40 - y) + 0.33y = 0.21•40

6 - 0.15y + 0.33y = 8.4

  0.18y = 2.4

        y = 13¹/₃

x = 40 -  13¹/₃ = 26²/₃

8 0
3 years ago
What is the solution to 89+ K= -42<br> A. K=131<br> B. K=47<br> C. K=-47<br> D. K=-131
lisabon 2012 [21]
89-131=-42 the answer is k=-131
5 0
3 years ago
4(5x + 9)^2 – 33 = -21
ozzi

Answer:

x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5

Step-by-step explanation by completing the square:

Solve for x over the real numbers:

4 (5 x + 9)^2 - 33 = -21

Add 33 to both sides:

4 (5 x + 9)^2 = 12

Divide both sides by 4:

(5 x + 9)^2 = 3

Take the square root of both sides:

5 x + 9 = sqrt(3) or 5 x + 9 = -sqrt(3)

Subtract 9 from both sides:

5 x = sqrt(3) - 9 or 5 x + 9 = -sqrt(3)

Divide both sides by 5:

x = sqrt(3)/5 - 9/5 or 5 x + 9 = -sqrt(3)

Subtract 9 from both sides:

x = sqrt(3)/5 - 9/5 or 5 x = -9 - sqrt(3)

Divide both sides by 5:

Answer:  x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5

7 0
4 years ago
Read 2 more answers
No link/pic just type pls
Radda [10]

Answer:

If you said its the height it would be 21

Step-by-step explanation:

The height is on the side

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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