For a project in her Geometry class, Madelyn uses a mirror on the ground to measure
the height of her school's flagpole. She walks a distance of 8.75 meters from her
school, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.7 meters to the other side of the mirror, until she can see the top of
the flagpole clearly marked in the X. Her partner measures the distance from her eyes
to the ground to be 1.65 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.
1.65 m
1.
1.7 m
-8.75 m
Answers
An image is always formed at the back of a mirror. Thus, the appropriate option is D. -8.75 m. The flagpole is 8.75 m tall.
Let the angle of depression from Madelyn's point of view be represented by θ. Then applying the required trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{1.65}{1.7}[/tex]
Tan θ = 0.9706
θ = [tex]Tan^{-1}[/tex] 0.9706
= [tex]44.2^{o}[/tex]
θ = [tex]44.2^{o}[/tex]
Let the height of the flag be represented by h. And for a given mirror, the angle of incidence is equal to that of reflection. Then;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{h}{8.75}[/tex]
0.9706 = [tex]\frac{h}{8.75}[/tex]
h = 0.9706 x 8.75
= 8.49275
h = 8.5 m
Since the image is formed at the back of the mirror, then the flagpole is 8.5 m.
Therefore the appropriate answer is option D. -8.75 m
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Answer:
10.77
Step-by-step explanation:
i did it
Related Questions
In this diagram, BAC~EDF. If the area of BAC=15 in2, what is the area of EDF? 4, 5.
Enter a decimal rounded to the tenths.
Answers
Answer:
9.6 square inches.
Step-by-step explanation:
We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.
First, find the scale factor k from ΔBAC to ΔDEF:
[tex]\displaystyle 5 k = 4[/tex]
Solve for the scale factor k:
[tex]\displaystyle k = \frac{4}{5}[/tex]
Recall that to scale areas, we square the scale factor.
In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.
Hence, the area of ΔEDF is:
[tex]\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2[/tex]
In conclusion, the area of ΔEDF is 9.6 square inches.
A sheet of standard-size copy paper measures 8.5 in. by 11 in. If a ream (500 sheets) of this paper has a volume of 187(to the third power) in. , how thick is the ream.
I need an explanation on how to do it please.
Answers
============================================================
Explanation:
The area of any given sheet of paper is 8.5*11 = 93.5 square inches.
Divide the volume over this area to get the height of the stack
187/(93.5) = 2
The stack is 2 inches tall.
Extra info: The thickness of each piece of paper is 2/500 = 0.004 of an inch which approximates to about 0.1016 mm.
Find the measure of ABD.
Answers
Answer:
ABD=26°.
SEE THE IMAGE FOR SOLUTION
Graph and Label the Points on the coordinate plane below
Answers
The X-Axis contains the first number in your ordered pair, and goes left, right (horizontally) for example the first ordered pair you have.
(2,5 1/2). To do this, move 2 spaces to the right on your X-axis. now go 5 and a half spaces up, and plot the point.
(-2 1/2, 0.5) For this one, you move 2 and a half spaces to the left on the X-axis, and half a space up. put a point there.
(3.5, -4 1/2) move 3 and a half spaces to the right on your X-axis, and go 4 and a half spaces down. put a point there.
let me know if you have questions! :)
-(x)+2)=2(3x-6) awnser
Answers
Answer:
[tex] -( x) + 2 = 2(3x - 6) \\ - x + 2 = 2 \times 3x - 2 \times 6 \\ - x + 2 = 6x - 12 \\ x \: terms \: togther \\ - x - 6x = - 12 - 2 \\ - 7x = - 14 \\ x = \frac{ - 14}{ - 7} = 2 \\ x = 2 \\ thank \: you[/tex]
helpppp quick please!! explanation and answers! thanks:)
Answers
Answer:
DO NOT CHEAT
Step-by-step explanation:
IT'S HARAM >:(
To keep it simple i am confused about this problem what can i do?
*show work
*will give brainlist
Answers
Answer:
11. 10, 20,30,40,50,60,70
12. 35, 45,55,65,75,85,95
Step-by-step explanation:
10 dollars per week for 7 weeks in equivalent to 10x7 which equals $70.
If you already had $25 you would do 10x7+25. Using PEMDAS you would multiply first (10x7=70) then add 25 (70+25=95)
4
A study measured the average rainfall in 130 months in the state of Hawaii. The average monthly rainfall was 3.7 inches with a stand
0.3 inches. Assume the data is normally distributed. How many months of rainfall had between 3.4 and 4 inches of rainfall?
130 months
124 months
68 months
112 months
88 months
Back
Next
1
Answers
Answer:
I'm unsure, I've seen questions like this before but not this one
Which inequality is true?
Answers
C, because π ≈ 3,14 so 9π = 9 · 3,14 = 28,26 > 27
70x2 ? A 10 B 24 C 100 D 140
Answers
Answer:
140
Step-by-step explanation:
[tex] \mathrm{Answer} : [/tex]
70 × 2 = 140therefore, correct answer is D. 140
Riley's monthly bank statement showed the following deposits and withdrawals:
-−$105.11, -−$33.75, $113.62, $119.42, $29.64
If Riley's balance in the account was $35.27 at the beginning of the month, what was the account balance at the end of the month?
Answers
Answer:
$159.09
Step-by-step explanation:
Math
Subtract -2x^2-4x+2 from -6x+2
Answers
Answer:
2x(x-1)
Step-by-step explanation:
-6x+2-(-2x^2-4x+2)
-6x+2+2x^2+4x-2
2x^2-6x+4x+2-2
2x^2-2x
2x(x-1)
Answer:
2x² - 2x
Step-by-step explanation:
- 6x + 2 - (- 2x² - 4x + 2) ← distribute parenthesis by - 1
= - 6x + 2 + 2x² + 4x - 2 ← collect like terms
= 2x² - 2x
Order the number from least to greatest
1. root of seven, 2, root of 8/2
2. root of 220, -10, root of 100, 11.5
Answers
2. -10, sr(100), 11.5, sr(220)
what is 2+34-18+2-5+100-49
Answers
Answer:
[tex]2 + 34 - 18 + 2- 5 + 100 - 49 \\ = 36 - 16 + 95 - 49 \\ = 20 + 95 - 49 \\ = 115 - 49 \\ = 66 \\ thank \: you[/tex]
Answer:
The answer is 66.
Step-by-step explanation:
→ 2 + 34 - 18 + 2 - 5 + 100 - 49
→ (2 + 34 - 18 + 2 - 5) + (100 - 49)
→ 15 + 51 = 66
Thus, 66 is the solution.
The number of viewers of a television station in 2003 was 640000.
(a) In 2004, the station had 716800 viewers. Calculate the percentage increase in the number of viewers from 2003 to 2004.
Each year, the television station invites it's viewers to vote for their favourite actors and actresses.
(b) In 2005, the number of viewers was 896000. Of those viewers, 108000 voted.
(i) Calculate the percentage of viewers who voted in 2005, giving your answer correct to the nearest whole number.
(ii) The number of viewers who voted in 2005 was 20% more than that in 2004. Calculate the number of viewers who voted in 2004.
__________
__________
__________
State your answers with the method of how you got your answers.
Answers
Answer:
see the attachment hope it helps you
Step-by-step explanation:
Friends is an American television sitcom created by David Crane and Marta Kauffman, which aired on NBC from September 22, 1994, to May 6, 2004, lasting ten seasons.[1] With an ensemble cast starring Jennifer Aniston, Courteney Cox, Lisa Kudrow, Matt LeBlanc, Matthew Perry and David Schwimmer, the show revolves around six friends in their 20s and 30s who live in Manhattan, New York City. The series was produced by Bright/Kauffman/Crane Productions, in association with Warner Bros. Television. The original executive producers were Kevin S. Bright, Kauffman, and Crane.
solve ?
-4-4(-x-1)=-4(6+2x)
Answers
[tex]-4-4(-x-1)=-4(6+2x)\\\\-4+4x+4=-24-8x\\\\4x=-24-8x \ \ /+8x\\\\12x=-24 \ \ /:12\\\\\huge\boxed{x=-2}[/tex]
[tex](x^2+3)^{-1/3} -2/3x^2(x^2+3)^{-4/3}[/tex]
Factor the expression completely.
Answers
Answer:
[tex] \frac{ {x}^{2} + 9 }{3 \sqrt[3]{ {x}^{2} } + 3( {x}^{2} + 3)} [/tex]
Step-by-step explanation:
attached
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
O y=
--x-1
Oy=-x+5
O y=-x-1
O y=x+5
Save and Exit
Next
Submit
Mark this and retum
Answers
The equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4) is y = [tex]-\frac{5}{x} x-1[/tex]
Parallel lines
Parallel lines have the same slope. Therefore, using slope intercept form.
y = mx + b
m = slope
b = y-intercept
Therefore,
5x + 2y = 12
2y = -5x + 12
[tex]y = -\frac{5}{2} x+12[/tex]
The slope of the line is [tex]-\frac{5}{2}[/tex]
Base on parallelism, for the line that passes through (-2, 4)
y = mx + b
4 = [tex]-\frac{5}{2} (-2)+b[/tex]
b = -1
Therefore,
y =
learn more on parallel lines here: https://brainly.com/question/18245473
Otis has $6.72, and he wants to buy some pencils that cost $1.12 each. How many pencils can he buy?
4 pencils
5 pencils
6 pencils
7 pencils
Answers
Answer:
Otis can buy 6 pencils...
Answer:
Otis has $6.72, and he wants to buy some pencils that cost $1.12 each. How many pencils can he buy?
4 pencils x
5 pencils x
6 pencils :D
7 pencils x
Step-by-step explanation:
6 pencils
Janet deducted $5 on Monday and another $6 on Tuesday from her savings account. How much money did Janet deduct?
Answers
Write 0.24 repeating as a fraction in simplest form.
Answers
Answer:
24/100
Step-by-step explanation:
Simplest fractional form of 0.24 repeating will be 6/25.
Fractions: A number in p/q form where q must not be zero is termed as fractions.
Given, that number 0.24 is repeating in nature.
So, to convert 0.24 from decimal to fraction .
Remove the decimal by dividing the whole number by 100 as decimal is two places behind.
0.24 = [tex]\frac{24}{100}[/tex]
Simplify the fractional form,
GCF of 24 and 100 = 4
So divide 24 and 100 by 4,
Therefore the required fraction is ,
= [tex]\frac{6}{25}[/tex]
Know more about fractions,
https://brainly.com/question/10354322
#SPJ6
Do the calculations and round the answers to the correct place (using the rules for calculating significant digits): 4.8754 x 3.2
Answers
Answer: The answer I got is 15.6
15,60128
Step by step explanation:
Not 100% if this is right
Please answer both questions and Show Work... I will mark you brainliest and give you five starts
Answers
Answer:
Step-by-step explanation:
For each problem you need to make sure that the angles are the same.
So x + 22 = 90
x = 90 -22 = 68 degree
For the second problem
7x + 10 = 8x
10 = 8x -7x
x = 10 degree
Two thirds of a number is 24. Find the number.l
Answers
Answer:
36
Step-by-step explanation:
of means multiply and is means equals
2/3 *x = 24
Multiply each side by 3/2
3/2 * 2/3 *x = 24 * 3/2
x = 36
Anwser these questions
Answers
if 1 kg is equivalent to 1.000g then 8.500g is 8.5kg?
Answers
Answer:
too
Step-by-step explanation:
hhsihwhsusqioshsisjwk shshsusbsoosjs
Perpendicular to the line y=4x+8 and contains the point (-8,4) in standard form.
Answers
Algebra Nation Section 1 Topic 4 Question 7
Answers
Kendra bought 235 donuts for $120. Her profit was $35 once she had sold 100 donuts. Which equation below represents Kendra’s profit P(n), as a function of the number sold, n?
P(n)=0.85n-120
P(n)=-0.85n+120
P(n)=0.35n
P(n)=1.55n-120
Answers
P(n) = 1.55n-120
The graph of a function never has two different points with rhe same x-coordinate because
Answers
Answer:
Hello! Your answer is BELOW
Step-by-step explanation:
The best answer to the question that is being stated above would be letter B. The graph of a function never has two different points with the same x-coordinate because the input value of each of the points is mapped to a single output value in the graph.
Hope I helped! Hope you make an 100%
-Amelia♥
