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3 years ago

Find the trig function indicated. Round your answer to the nearest hundredeths place.

Mathematics

1 answer:

vekshin13 years ago

4 0

Answer:

tan A = 3.43

sin C = 0.28

cos A = 0.28

tan C = 0.29

Step-by-step explanation:

tan A = opp/adj = 48/14 = 3.43

sin C = opp/hyp = 14/50 = 0.28

cos A = adj/hyp = 14/50 = 0.28

tan C = opp/adj = 14/48 = 0.29

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Geometry Pythagorean theorem

lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<u>Question 9:</u>

10² = 6² + x²
=> 100 = 36 + x²
=> 100 - 36 = x²
=> 64 = x²
=> x = 8

<u>Question 10:</u>

26² = 24² + x²
=> 676 = 576 + x²
=> 676 - 576 = x²
=> 100 = x²
=> x = 10

<u>Question 11:</u>

15² = 12² + x²
=> 225 = 144 + x²
=> 225 - 144 = x²
=> 81 = x²
=> x = 9

<u>Question 12:</u>

x² = 8² + 12²
=> x² = 64 + 144
=> x² = 208
=> x = √208
=> x = 14.2 (Rounded)

<u>Question 13:</u>

7² = 2² + x²
=> 49 = 4 + x²
=> 49 - 4 = x²
=> 45 = x²
=> x = √45
=> x = 6.7 (Rounded)

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

=> 5² = 3² + x²
=> 25 = 9 + x²
=> 16 = x²
=> x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

(3 + 6)² = 5² + y²
=> (9)² = 25 + y²
=> 81 = 25 + y²
=> y² = 56
=> y = √56
=> y = 7.5 (Rounded) units

Answers (Nearest tenth):

x = 4 units
y = 7.5 units

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

8² = 6² + y²
=> 64 = 36 + y²
=> 28 = y²
=> y = √28
=> y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

x = 2y
=> x = 2(5.3)
=> x = 10.6 units

Answer (Nearest tenth)

x = 10.6 units
y = 5.3 units

5 0

2 years ago

Can someone please help me with these math problems ASAP?!<br> Thanks in advance! ;)

Mamont248 [21]

Answer:

11) Here given Function,

$f(x) = \sqrt{2x-11}$

And, $g(x) = -|0.1|x+5$

For f(x) = g(x)

$\sqrt{2x-11}=-|0.1|x+5$

$2x-11=(-|0.1|x+5)^2$

$2x-11=0.01x^2 - 10|0.1|x+25$

$2x=0.01x^2 - 10|0.1|x+25+11$

$2x=0.01x^2 - 10|0.1|x+36$

$0.01x^2 - 10|0.1|x - 2x+36=0$

When we solve this equation,

We found,

x = 12.5227 ≈ 12.53

Thus, the required solution is, x = 12.53

12) Here the height of rocket A in x second,

$f(x) = -16x^2+74x+9$

And, The height gain by the rocket B in x seconds,

$g(x) = -16x^2+82x$

If at x seconds both A and B gain the same height,

That is, f(x) = g(x)

⇒ $-16x^2+74x+9= -16x^2+82x$

⇒ $74x + 9 = 82x$

⇒ $82x - 74x = 9$

⇒ $8x = 9$

⇒ x = 1.125 ≈ 1.13

Thus, the required solution is x = 1.13 seconds (approx)

4 0

3 years ago

When four times a number is decreased by 9, the result is 19. What is the number?

Novay_Z [31]

Answer:

Step-by-step explanation:

Working backwards:

19 + 9 = 28

28/ 4 = 7

Checking work:

7 x 4 = 28

28 - 9 = 19

8 0

2 years ago

Read 2 more answers

Arturo is

Brums [2.3K]

Answer:

Step-by-step explanation:

<u>When there are 2 rows</u>

Number of erasers per row = No. of erasers / No. of rows
Number of erasers per row = 18/2
Number of erasers per row = 9

<u>When there are 3 rows</u>

Number of erasers per row = No. of erasers / No. of rows
Number of erasers per row = 18/3
Number of erasers per row = 6

<u>Therefore, there will be more erasers per row in 2 equal rows than in 3 equal rows.</u>

7 0

2 years ago

Can you please help me solve

Digiron [165]

Answer:

First Problem:

1/2 * -2 2/5 = 1/2 * -12/5 = -12/10

Simplify -12/10 into -6/5

Step-by-step explanation:

8 0

4 years ago