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aleksklad [387]

3 years ago

8

RBT/Z + H/K = M, Solve for H

1 answer:

irakobra [83]3 years ago

6 0

Answer:

H = MK - RBTK/Z

Step-by-step explanation:

<u>Given</u>

RBT/Z + H/K = M

<u>Solving for H</u>

RBT/Z + H/K = M
K×RBT/Z + K×H/K = K×M ⇒ <em>multiplying all terms by K to clear fraction</em>
RBTK/Z + H = MK

RBTK/Z + H - RBTK/Z= MK - RBTK/Z ⇒ <em>subtracting RBTK/Z from both sides</em>

H = MK - RBTK/Z

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Need help on these trig homework

allochka39001 [22]

8. The length of the support is 7. 9 m

9. The length of the conveyer is 12m

3. a = 59m

A = 44°

B = 52°

4. c = 88. 6 mm

b = 49. 1 m

B = 34°

<h3>How to solve the trigonometry</h3>

8. We have the angle to be 20 degrees

Opposite side = x

hypotenuse = 23m

Using the sine ratio

sin θ = opposite/ hypotenuse

$sin 20 = \frac{x}{23}$

Cross multiply

$sin 20$ × $23 = x$

$x = 0. 3420$ × $23$

x = 7. 9 m

The length of the support is 7. 9 m

9. The angle of elevation is 37. 3 degrees

Hypotenuse = 19 . 0m

Opposite = x

Using the sine ratio

sin θ = opposite/ hypotenuse

$sin 37. 3 = \frac{x}{19}$

cross multiply

$x = 0. 6059$ × $19$

x = 11.5

x = 12 m in 2 significant figures

The length of the conveyer is 12m

3. To determine the sides and angles, we use the sine rule;

$\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}$

For side a, we use the Pythagorean theorem

$c^2 = a^2 + b^2$

$85^2 = a^2 + 67^2$

$a = \sqrt{89^2-67^2}$

$a = \sqrt{3432}$

a = 58. 58, a = 59m

To find angle A and B, use the sine rule

$\frac{59}{sin A } = \frac{85}{sin 90}$

cross multiply

$sin A$ × $85$ = $sin 90$ × $59$

make sin A subject of formula

$sin A = \frac{59}{85}$

$sin A = 0. 6941$

A = $sin^-^1(0. 6941)$

A = 44°

$\frac{67}{sin B} = \frac{85}{sin 90}$

cross multiply

$sin B$ × $85$ = $sin 90$ × $67$

make sin b subject of formula

$sin B = \frac{67}{85}$

$sin B = 0. 7882$

B = $sin^-^1( 0. 7882)$

B = 52°

4. To find the sides, we use the sine rule;

$\frac{74. 0}{sin 56. 6} = \frac{c}{sin 90}$

Cross multiply

$sin 56. 6$ × $c = sin 90$ × $74$

make 'c' subject of formula

$c = \frac{74}{0. 8348}$

c = 88. 6 mm

To find length b, we use the Pythagorean theorem

$c^2 = a^2 + b^2$

$b^2 = c^2 - a^2$

$b^2 = 88. 8^2 - 74^2$

$b = \sqrt{7885. 44 - 5476}\\\\ b = \sqrt{2409. 44}$

b = 49. 1 m

$\frac{74. 0}{sin 56. 6} = \frac{49. 1}{sin B}$

cross multiply

$sin B = \frac{40. 99}{74. 0}$

B = $sin^-^1(0. 5539)$

B = 34°

Learn more about trigonometric identity here:

brainly.com/question/7331447

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3 0

1 year ago

Which of the following rational numbers is equivalent to a terminating decimal?

anygoal [31]

A is the correct answer. When put into calculator, the decimals ends.

7 0

2 years ago

Pls help pls help pls help

Yakvenalex [24]

3 is the correct answer Finn he is corn

3 0

3 years ago

The circumference of a circle is 177 cm. Find its radius, in centimeters.

ivann1987 [24]

And the answer to the circumference of a circle with a radius of 177 is approximately:

≈ 1111.56

3 0

3 years ago

What is the exact value of BC?<br>A. 3.16<br>B. 5\|2<br>C. 7.07<br>D. 25<br>

Natalija [7]

Answer:

$C. \: \: 7.07$

Step-by-step explanation:

Coordinates of B are

$(5,5)$

Coordinates of C are

$(4, - 2)$

Distance between two points

$\sqrt{({x_2 - x _1 {)}^{2} + (y_2 - y_1 {)}^{2} }}$

Distance of BC

$\sqrt{(4 - 5) {}^{2} + ( - 2 - 5 {)}^{2} }$

$\sqrt{ { (- 1}^{2}) + ({ - 7}^{2}) }$

$\sqrt{1 +49 }$

$\sqrt{50}$

$7.07$

3 0

2 years ago