Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 80 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 20°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 29. 11 feet 75. 18 feet 128. 67 feet 219. 80 feet.
Answers
Answer:
(d) 219.80 ft
Step-by-step explanation:
The side opposite the angle is given, and we want to find the side adjacent. The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(20°) = (80 ft)/(distance to sculpture)
This rearranges to ...
distance to sculpture = (80 ft)/tan(20°) ≈ 219.80 ft
Related Questions
NEED HELP ASAP DUE SOON!!!!
Answers
Answer:
Step-by-step explanation:
We can easily get 'a' in the equation by setting x to zero which will get rid of the b variable leaving us with:
a = 2
Now for b, we know the second point is (1,6), so let's plug it into the function
6 = 2 * b^1
b = 3
Thus the function is [tex]y = 2*3^{x}[/tex]
Hope that helps!
Ashley needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 5 hours and charged her
$171 for parts. The total was $796. Write and solve an equation which can be
used to determine x, the cost of the labor per hour.
Equation:
Answer: X =
Answers
What is the first step in solving 31 + 2 - 8(3)
Answers
Answer:
[tex]31 + 2 - 8(3) \\ \\ = 31 + 2 - 24 \\ \\ 33 - 24 \\ \\ = 9[/tex]
# be careful#
Answer:
Multiply 8x3
Step-by-step explanation:
Orders of operations state that parenthesis should be the first step in solving an equation
P-parenthesis
E-exponents
M- multiplication
D-division
A- addition
S- subtraction
Calculate the following problem
what is 24 plus 12 minus 53 plus 100 and the divide it by 2
Answers
Answer:
33
Step-by-step explanation:
Answer:
(4.5)
Step-by-step explanation:
i hope its help
brainliest me
#CARRYONLEARNING
Write the equation of the given line in slope-intercept form:
Answers
Answer:
y=-3x - 1
Step-by-step explanation:
When a figure rotates around a point, this point is called the
Answer:
A image
B. origin
C. graph
D. center of rotation
Answers
Answer:
Your answer is D. center of rotation!
Step-by-step explanation:
A rotation is a transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point. The fixed point is called the center of rotation . The amount of rotation is called the angle of rotation and it is measured in degrees.
video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.
12x + 25y = 300
x = number of used games
y = number of new games
How many games can Jonathan buy if he spends all his money on used games?
Answers
Answer:
He can spend games at a rate of y = -0.48x + 12
Step-by-step explanation:
12x + 25y = 300
Move the 12x on the other side.
25y = -12x + 300
Divide the 25y with everything.
y = -0.48x + 12
jk, kl, and lj are all tangent to o ja = 10, and ck = 14 find the perimeter of triangle jkl
Answers
Answer:
JK, KL, and LJ are all tangent to circle O. JA = 9, AL= 10, and CK= 14. What is the perimeter of triangle JKL?
Step-by-step explanation:
Members of a lacrosse team raised $1793.50 to go to a tournament. They rented a bus for $757.50 and budgeted $64.75 per player for meals. Write and solve an equation which can be used to determine
x
x, the number of players the team can bring to the tournament.
Answers
Answer:
They can bring 16 students to the tournament
Step-by-step explanation:
$1793.50 - $757.50 = 1063
$1063 / $64.75 = 16
Answer:
16 students
Step-by-step explanation:
Hello :)
This question gave us a flat charge of 757.50 dollars for the bus, which means it does not depend how many members of the lacrosse team ride the bus.
However, the meals cost 64.75 per member.
So to make an equation, the bus charge would be the y-intercept (If no member went, they still paid for the bus fee) and the meals would be the slope (since it is dependent on how many members ride the bus.)
The total would add up to be 1783.50, so the equation would be:
1793.50=64.75x+757.50 where x=the number of players the team can bring to the tournament without going outside of their budget
Let's solve now.
1793.50=64.75x+757.50
-757.50 -757.50
1036=64.75x
x=16
Find the slop of the line in the graph
Answers
Answer:
2y and -3x
Step-by-step explanation:
y3-1
/
-x2-x1
Which inequality correctly represents the expression? The quotient of k and 9 is less than 1.
Answers
Hope this helped #WAP
use solve for θ and round to the nearest tenth
1) sinθ=0.99
2) tanθ=0.27
3) cosθ=0.39
4) tanθ=0.87
5) sinθ=0.08
Answers
Answer:
2 tan0 have fun hope it helps you
Step-by-step explanation:
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What sentence represents this equation?
413=11−x
11 decreased by 413 is the same as a number.
413 is the same as a number decreased by 11.
413 is the same as 11 decreased by a number.
A number is the same as the difference of 11 and 413.
Answers
Answer:
option b
Step-by-step explanation:
413 is the same as a number decreased by 11 because when you say 11 is decreased by a number that means we are subtracting a number from 11 but when you say a number is decreased by 11 it means 11 is being subtracted from a certain number to give 413
I Hope this helps
the third part lol helppppppppppppppppppppppppppppppppppppppppp
Answers
answer:
n = [tex]-\frac{3}{2}[/tex]Explanation:
→ [tex]4(n+10) = 34[/tex]
→ [tex]\frac{4(n+10)}{4} = \frac{34}{4}[/tex]
→ n + 10 = [tex]\frac{17}{2}[/tex]
→ n = [tex]\frac{17}{2} -10[/tex]
→ n = [tex]\frac{17-20}{2}[/tex]
→ n = [tex]\frac{-3}{2}[/tex]
Answer:
[tex]\sf n=\dfrac{-3}{2}[/tex]
Step-by-step explanation:
Given equation: 4(n + 10) = 34
Step 1: Expand the expression.
[tex]\sf \implies \boldsymbol{\sf 4(n + 10)} = 34[/tex]
[tex]\sf \implies \boldsymbol{\sf 4(n) + 4(10)} = 34[/tex]
[tex]\sf \implies 4n + 40 = 34[/tex]
Step 2: Subtract [tex]\sf 40[/tex] from both sides and combine like terms.
[tex]\sf \implies 4n + 40 - 40 = 34 - 40[/tex]
[tex]\sf \implies 4n = -6[/tex]
Step 3: Isolate the variable ([tex]\sf n[/tex]) (simply if necessary).
[tex]\sf \implies \dfrac{4n}{4} = \dfrac{-6}{4}[/tex]
[tex]\sf \implies n=\dfrac{-6}{4} = \dfrac{-3}{2}[/tex]
How many composite numbers are between 1 and 100?
Answers
Answer:
74 is the answer to your question.
Hope this helps!
Step-by-step explanation:
74 is the answer to your question
find the value of "x" in the following
Answers
(a) 60° (b) 125°
Step-by-step explanation:-
a)Given are three [tex]x[/tex]'s, so,
[tex]3x = 180[/tex](As all sides of triangle add upto 180°)
[tex] = > x = \frac{180}{3} [/tex]
[tex] = > x = 60[/tex]
Hence, value of x is 60°
b)Given two interior angles(55°,70°) & one exterior angle([tex]x[/tex]°)
[tex] = > x° = (55 + 70)°[/tex]
[tex] = > x° = 125°[/tex]
Hence, value of x is 125°
will deposited $1550 in an account that pays 8% annually. How much would be in the account at the end of 24 months?
Answers
Answer:
$1798
Step-by-step explanation:
You take the money of 1550 and multiply the 16% for the 2 years, which is just 1.16 and you get 1798
PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT!!!
The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyramid, in square centimeters?
Answers
Answer:
14.84 is the answer
Step-by-ste14.84 is the answerp explanation:
14.84 is the answer
Solution to the inequality 3x<0
Answers
Answer:
the inequality form is x<0
Step-by-step explanation:
you would divide both sides by 3 And then simplify
please help, quick, this is my last question
Answers
Answer:
5/2 I think bec a was moved to 1/1 before it was 6/3
what is the long leg of a 30 60 90 triangle when the hypothesis is 8 root 6
Answers
The sine rule states that in any triangle, the length of any side divided by the sine of the opposite angle is a constant.
So for your triangle we have:
8/sin 60° = s/sin 30° = h/sin 90°
8/[(sqrt 3)/2] = s/(1/2) = h/1
16/sqrt 3 = 2s = h
So the length of the short leg s
= 8/sqrt 3 = approx. 4.619
and the length of the hypotenuse
= 16/sqrt 3 = approx. 9.238.
What is the equation of the line?
Answers
Answer: 5x + 4y - 6 = 0
Step-by-step explanation:
Find the slope of the line by finding 2 points that are on the line
(-2,4) and (2,-1)
(4--1)/(-2-2) = 5/-4
y = -5x/4 + c
Substitute (2,-1)
-1 = -10/4 + c
6/4 = c
So the equation is y = (6-5x)/4
4y = 6-5x
5x + 4y - 6 = 0
(Side note: So many people are asking about line equations)
approximate the square root of 110
Answers
Answer:
10.4880885 or 10.5
Step-by-step explanation:
The square root of 110 is a decimal ... 10.4880885
If we round up it will be 10.5
Answer:
10.488 to nearest thousandths
Step-by-step explanation:
If you mean using a calculator, sqrt(110) is approximately 10.488.
If you mean by hand (unlikely), there are methods such as Newton-Raphson method that converge quite quickly (after around 10 iterations it's basically no different than your calculator)
Help please thank you.
Answers
Step-by-step explanation:
13b. Ariel is a customer.
14a. Obeying traffic rules saves lives.
15c. Mr. Aries is a lawmaker.
On a recent statistics exam at a large university, 35 of 50 students in one section passed the exam.
What is the mean and standard deviation of the proportion of those who passed the exam?
A. Mean = 70%; standard deviation = 3.5%
B. Mean = 70%; standard deviation = 6.48%
C. Mean = 70%; standard deviation = 4.2%
Answers
Answer:
answer is c
Step-by-step explanation:
i know
I need an explanation on how to work this out
Evaluate the expression rs + 14s when r = 6 and s = 1/4.
Answers
Answer:
5
Step-by-step explanation:
We have to substitute r and s with the values given:
Now we can make an equation with our new values:
(6×1/4)+(14×1/4)
Now we do one bracket at a time (I put brackets to show that you need to do them separately, you don't need to have brackets)
1.5+3.5=5
5) A farmer raises turkeys and pigs. There are 15 animals all together. The farmer
counts 34 legs on these animals. How many of each type of animal does the farmer
have? (See #7 in Notes)
t-turkey
p-Pigs
Answers
Answer:
2 pigs, 13 turkeys
Step-by-step explanation:
34=2t+4p (equation for legs)
t+p=15 (equation for total # of animals) --> t=15-p
substitution:
34=2(15-p)+4p
p=2
plug back in to other equation
t=15-(2)
t= 13
Factor: 10m^3 + 12m^2-35m -42
we are doing factoring trinomials and factor by grouping
Answers
Answer:
( 5m + 6 ) ( 2m² - 7 )
Step-by-step explanation:
please refer the image
Rosenfeld enjoys a delicious meal at BJs, and the bill comes back at $24.50. The service was amazing, so she wants to leave a 25% tip. How much do you pay total (bill and tip together)?
Answers
Answer:
30.62
Step-by-step explanation:
24.50 x .25 = 6.12
24.50 + 6.12 = 30.62
Pls pls pls pls pls pls help me I’ll help you
Answers
Answer:
minimum of -3
Step-by-step explanation:
Because that is the lowest point on the graph