Dr. Black is standing 20 feet from a streetlamp. The lamp is making his shadow 5 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 30. To the nearest foot, the streetlamp is about _____.
Answers
The correct answer is:
14 ft.
Explanation:
Let x be the height of the street lamp. This is one leg of a right triangle.
The other leg is formed by the combination of the length of the shadow and the distance Dr. Black is standing from the lamp. This is 5+20 = 25.
The angle of elevation is 30°. Comparing the given sides to this angle, we have the side opposite the angle (x) and the side adjacent to the angle (25). We know that opposite/adjacent is the ratio for tangent; this gives us the equation:
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Find the solution to the following equation by transforming it into a perfect square trinomial. x2 – 10x = 39
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What is greater 500 in or 40 ft
Answers
The unit rate in students per computer is 8.
What is unit rate?
There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.
We are Given that there are 9 computers and 72 students.
We need to find the unit rate of students to computers.
Number of bolts in 9 computers = 72
Number of bolts in 1 computers = 72/9
= 8
So, it will be 8
Thus, the unit rate is 8 students per computer.
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Answer:
The answer is 8
Step-by-step explanation:
72 divided by 9 = 8
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In linear equation, 300 is 75% of the number.
What are instances of linear equations?
- Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.
- Finding both intercepts of an equation in this form is rather simple (x and y).
- When resolving systems of two linear equations, this form is also incredibly helpful.
115% of a number is 460,
let number is x .
x = 460/115 * 100
46000 / 115 = x
x = 400
400 * 75/100 = 300
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x * 0.75 = your answer
x = 400
400 * 0.75 = 300
Answers
220 miles = 10 gallons
cross multiply :
220x = 5500
Divide 220 from both sides
x = 25
Check :
0.4 = 0.4
My answer is correct. It's (D.) 25 gallons of gas :)
Answers
Answer: 32:45
Step-by-step explanation: They share no common factors so it would just be 32:45
the answer is 45:77 . the question says “ ratio of dogs ( 45 ) “ to “ the total number of cats AND dogs “ which means cats and dogs combined which is 77/