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ki77a [65]
3 years ago
13

11. A certain alloy contains 14.25% nickel. How much nickel is there in a piece weighing 375 pounds?Round your answer to the nea

rest hundredth.
A. 112.49 pounds
B. 12.24 pounds
C. 53.44 pounds
D. 78.92 pounds

12. Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour?
A. $16.57
B. $8.29
C. $7.25
D. $12.89
Mathematics
2 answers:
Andrej [43]3 years ago
3 0
11. 375x0.1425 = 53.475 (53.44 to 2 d.p.)

12. 116 / (9+7) = $7.25
      Total payment / Hours spent working = Money per hour

Alika [10]3 years ago
3 0
Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour?    <span>$12.89</span>
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Help help help pls :)
kykrilka [37]

Answer:

opposite\approx 70.02

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Please note that the names (opposite) and (adjacent) are subjective and change depending on the angle one uses in the ratio. However the name (hypotenuse) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent (tan) ratio.

tan(\theta)=\frac{opposite}{adjacent}

Substitute,

tan(35)=\frac{opposite}{100}

Inverse operations,

tan(35)=\frac{opposite}{100}

100(tan(35))=opposite

Simplify,

100(tan(35))=opposite

70.02\approx opposite

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butalik [34]

Answer:

Yes

Step-by-step explanation:

Collinear means points are lying on the same straight line. U, H, and L are all lying on the line l.

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Answer:

Step-by-step explanation:

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