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3 years ago

This is a multiple choice question.

Mathematics

1 answer:

VikaD [51]3 years ago

8 0

Answer:

Both are correct

Step-by-step explanation:

A store is having a 20% off sale. Micheal says that he can find the sale price of an item that has a regular price of "p" by evaluating the expression 0.8"p". Susan says that she can find the sale price for the same item by evaluating the expression "p"-0.2"p"

Store is having 20% off sale. Discount is 20%

LEt the regular price is 'p'

The discount price is 20% of p that is 0.2p

Sale price is original price - discount price

that is p - 0.2p . So Suna is correct

p - 0.2 p = 1p- 0.2p = 0.8p

So Michel is also correct

Hence, Both are correct

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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

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B = 34°

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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

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cross multiply

$x = 0. 6059$ × $19$

x = 11.5

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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

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

$a = \sqrt{3432}$

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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

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

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b = 49. 1 m

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cross multiply

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

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

B = 34°

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