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dimaraw [331]
2 years ago
10

Dr. Black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of eleva

tion from the tip of his shadow to the top of the streetlamp is 50. To the nearest foot, the streetlamp is about _____.
Mathematics
2 answers:
Virty [35]2 years ago
6 0
Distance from tip of shadow to lamp post = 13 +9 feet = 22 ft Height of lamp post = x tan 50 = x /22 = 1.192 x = 22 * 1.192 =.26.2 ft. rounded = 26ft
KATRIN_1 [288]2 years ago
5 0

Answer:

26 ft height

Step-by-step explanation:

The distance between the streetlamp and the tip of his shadow is 9 + 13 = 22 ft.

A rectangle triangle is formed in which one side is 22 ft long and the other side is the streetlamp height. The angle between the 22 ft side and the hypotenuse is 50°. From tangent definition:

tan(50°) = (streetlamp height)/(22 ft)

tan(50°) * (22 ft) = streetlamp height

26 ft  = streetlamp height

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Maxwell’s vegetarian tacos requires 3/4 tablespoon of chili powder for every 1/2 pound of vegetables. How much chili powder will
Zina [86]

Answer:

1 1/8 or 9/8

Step-by-step explanation:

Set up a proportion. The proportion will be teaspoons of chili powder over pound of vegetables.

The first proportion will be..

\frac{x}{y} x is 3/4 and y is 1/2. Across from that proportion make another one

\frac{x}{y} x is "n" because you're trying to figure out how much chili powder you need. y is 1 3/4.

Multiply 3/4 and 1 3/4, which is 9/16. Then, divide 9/16 and 1/2, which is 9/8. Simplify it to 1 1/8, and Maxwell will need 1 1/8 teaspoons of chili powder.

Hope this wasn't too confusing :)

3 0
2 years ago
Read 2 more answers
Wayne Inc., a health insurance company, pays clerks an incentive based on the average amount of work completed per hour. Wayne p
yulyashka [42]

Answer: Straight piecework plan

Step-by-step explanation:

The Straight piecework plan is a type of incentive system in which the rate per unit output is constant and fixed at a specific value. And the total earnings of a worker is calculated by multiplying the value of its total output by the rate per unit output.

In the case above the rate per unit invoice processed is fixed, so employees are paid based on the number of invoice processed per hour which makes it a Straight piecework plan system.

5 0
1 year ago
"Our customer retention rate has decreased 10% from last quarter's goal of 250 consumers retained. We need to increase our curre
Lorico [155]
1. multiply 250 by 10% (250 * .1= 25)
2. Then subtract 25 from 250 (250 -25= 225)
2. Then multiply 225 by 16% (225 * .16 = 36)
3. Add 225 + 36 = 261. 
4. 261 is your final answer
6 0
2 years ago
What is the 5th term of the geometric sequence a1=120, a2=36, a3=10.8, a6=0.2916
Serggg [28]
The fifth term of the geometric sequence would be 0.972
6 0
1 year ago
Read 2 more answers
A recipe calls for 5 ounces of vinegar and 10 ounces of oil. Daren is making dressing with 9 ounces of vinegar using the same ra
g100num [7]

Answer:

Step-by-step explanation:

Set this up as ratio of vinegar to oil in fraction form:

\frac{v}{o}:\frac{5}{10}

That's what we're given.  If we are looking to find how much oil he needs if he's using 9 ounces of vinegar, then 9 goes on top with the vinegar stuff and x goes on bottom as the unknown amount of oil:

\frac{v}{o}:\frac{5}{10}=\frac{9}{x}

Cross multiply to get

5x = 90 and

x = 18

Which you probably could do without the proportions.  If he is using 5 ounces of vinegar and double that amount of oil, then it just makes sense that if he uses 9 ounces of vinegar he will double that amount in oil to use 18 ounces.

6 0
1 year ago
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