A ladder leans against the side of a house. The angle of elevation of the ladder is 66 degrees when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
Answers
Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 66° when the bottom of the ladder is 16 ft from the side of the house
Let 'C' be the point of observation.
Given CA= 16 ft
From right angle triangle
x = 16 × cos 66°
x = 16 × 0.4067
x = 6.5077
x = 6.5 ft
The length of the ladder = 6.5 ft
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The number of stops a bus makes on a certain day is represented by the variable s. Which set of numbers best describes the value of the variable?whole numbersnatural numbersintegersirrational numbers
Given the following formula, with A= 27 and t=3, solve for r.А=P(1 + Tt)
Enter your answer in the box. Enter only the numerical value.
Answers
Step-by-step explanation:
Angle BDC is an angle inscribed in a circle. As such it intercepts TWICE as many degrees of arc as its measure
so: 2 * (3x-1.5) = 3x+9
6x -3 = 3x+9
x = 4
then the arc AC = 3x+9 = 21 degrees
Answers
1. Do a proportion
152.5/61 times x/100
2. Do 152.5 times 100 which equals 15,250
3. Divide 15,250 by 61 which equals 250
4. Your answer is 250%
The number 152.5 is 250 percent of 61.
To find the chance, we can use the following formula
(Percentage / 100) Whole = Part
In this case, we want to find the chance, which is the unknown value. Let's denote it as "x."
(x/ 100) 61 = 152.5
To break for x, we can rearrange the equation
x = (152.5/ 61) 100
x ≈ 250
Thus, 152.5 is roughly 250 of 61.
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A.
500 mi
B.
550 mi
C.
600 mi
D.
700 mi
Answers
791 miles - 114 miles = 677 miles ... 700 miles
The correct result would be D. 700 mi.
5x + 3(x – 5) = 6x + 2x – 15
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)
Answers
Hi there
5x+3(x-5)=6x+2x-15
Simplify both sides of the equation
5x+3(x-5)=6x+2x-15
Distribute
5x+3x-15=6x+2x-15
Combine like terms
(5x+3x)-15= (6x+2x)-15
8x-15=8x-15
Subtract 8x from both sides
8x-15-8x=8x-15-8x
-15=-15
Add 15 to both sides
-15+15=-15+15
0=0
All real numbers are solutions
To solve this equation I used " The distributive property"
I hope that's help !
Good night !
Answers
Product A is 8 oz and sells for = $1.36
So, 1 oz of Product A will cost = = $0.17
So, unit price of product A is $0.17
Product B is 16 oz and sells for = $3.20
So, 1 oz of product B will cost = = 0.20
Unit price of product B is $0.20
Hence, comparing the two unit prices, Product A has a lower unit price.
y ≥ 0
y > 2
y ≥ 2
Answers
The range of the function f(x) : is y > 0.
The correct option is (A)
What is range?
The definition of range is the set of all possible values that the function will give when we give in the domain as input.
Given function is :
If we draw the graph for this, then we can see that the horizontal asymptote is 0.
So, the range is real numbers higher than 0.
Hence, the range should be y > 0.
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