17. Before rock climbing, Michelle wants to know how
high she will climb. She places a mirror on the
ground and walks backward until she can see the
top of the cliff in the mirror. She drew a sketch of
the situation. What is the height of the cliff?
Top of cliff
х
mirror
Michelle
5.5 ft
4 ft
16 ft
A. 16.5
B. 17.5
C. 20
D. 22
Answers
Answer:
22ft
Step-by-step explanation:
Find the diagram attached
Since the triangles are mirror images of each other, this shows that they are similar triangles
Taking the ratio of the sides of the triangle and equating it to a constant, we will have;
5.5/4 = x/16
Cross multiply
4 * x =5.5 * 16
4x = 88
x = 88/4
x = 22ft
Hence the required value of x is 22ft
Related Questions
What is the probability that I will roll a 4 on a standard number cube?
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Answer:
the probability of rolling any single digit on a 6-sided fair cube is 1/6
3360832553 ____ pass___ wZE2XQ
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Answer:
what is this?
Step-by-step explanation:
if you elaborate I am more then happy to help
Answer:
.
Step-by-step explanation:
What is the solution to the equation √8x = √4+2x?
Answers
Answer and Step-by-step explanation:
The first step in solving for x is to square both sides.
8x = 4 + 2x
Now, subtract 2x from both sides.
6x = 4
Now, divide each side by 6.
x = [tex]\frac{4}{6} = \frac{2}{3}[/tex]
x = [tex]\frac{2}3}[/tex] is the answer.
#teamtrees #PAW (Plant And Water)
Katy put $3000 into his bank account. If the account pays 6% interest compounded continuously, when will it be worth $6000? Round to 3 decimal places.
Answers
Answer:
11.55 years
Step-by-step explanation:
Given data
Principal= $3000
Rate= 6%
Final Amount= $6000
expression for the time is given as
t = ln(A/P) / r
Substitute
t= ln(6000/3000)/0.06
t= ln(2)/0.06
t= 0.693/0.06
t= 11.55 years
Hence the time is 11.55 years
This dot plot is not symmetric, and the data set has two
extreme values.
.
2
3
4
6
7
8
9 10
What is the best measure of center for this dot plot?
A. The median
B. The mean
C. The mean absolute deviation (MAD)
D. The interquartile range (IQR)
Answers
Answer:
um sorry if I'm wrong....C?
Step-by-step explanation:
i need assistance please
Answers
Can someone please help with these three?
Answers
Answer:
8
Step-by-step explanation:
ok so this is just the first one but i think you use a variable for what you are trying to find out, and well call this x and then u subtract the variable from the product of the rate and the amount, and once you have it, you multiply it but its own conjugate so then u use the binomial that you get to create a function, and you can graph it if you want, and u can use the apothem (the formula involves cos, so you might need a calculator) of the polygon created on your graph to find the domain, which you will then get the 4th root of, which is your answer. anyway, i believe this is what it is, but i may be wrong. hope this helps!
An amusement park is open May through September. The table shows the attendance each month as a portion of the total attendance. How many times more guests visit the amusement park in the busiest month than in the least busy month?
Answers
Answer:
may 90/100
june 32/100 multiply by 4
july 22/100
august 29/100
September 8/100 multiply by 4
i didnt understand the quastion but least means the Lowest number that mean the answer is september
Given an investment of $2,000
What would be the balance after 5 years compounded daily with an interest rate of 3.4%
O $237.06
O $2370.59
O $1185.30
0 $2367.22
Answers
Answer:
$2370.59
Step-by-step explanation:
the final balance is $2370.59
Suppose that 40% of cars in your area are manufactured in the U.S., 30% in Japan, 10% in Germany, and 20% in other
countries. Determine the following probabilities.
a. a car selected at random is made in Germany or Japan
b. a car selected at random is not US-made
c. two cars are selected at random, both are from Japan
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include
your calculations in your answer.
Answers
Answer:
A) The probability that a randomly chosen car is made in Germany or Japan is 40%.
B) The probability that a car chosen at random is not made in the United States is 60%.
C) The probability that two randomly chosen cars are both from Japan is 9%.
Step-by-step explanation:
Supposing that 40% of cars in my area are manufactured in the US, 30% in Japan, 10% in Germany, and 20% in other countries, to determine the probabilities that a car selected at random is made in Germany or Japan, a car selected at random is not US-made and two cars are selected at random, both are from Japan, the following calculations must be performed:
A)
(30 + 10) / 100 = X
40/100 = X
0.4 = X
Therefore, the probability that a randomly chosen car is made in Germany or Japan is 40%.
B)
(30 + 10 + 20) / 100 = X
60/100 = X
0.6 = X
Therefore, the probability that a car chosen at random is not made in the United States is 60%.
C)
10/30 x 10/30 = X
0.3 x 0.3 = X
0.09 = X
Therefore, the probability that two randomly chosen cars are both from Japan is 9%.
The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?
Answers
Answer:
1.5 feet
Step-by-step explanation:
V = base area x height
divide the two members by the base area
height = V/ base area
height = 13.5 / 9 = 1.5 feet
In APQR, T, U and S are points of tangency. PR = 12 units. Find TR.
Answers
Answer:
TR = 3 units
Step-by-step explanation:
PR = 12 units
PS = 9 units
PU = PS = 9 units (tangents drawn from an external point are congruent)
RU = PR - PU
RU = 12 - 9
RU = 3 units
TR = RU = 3 units (tangents drawn form an external point of a circle)
TR = 3 units
quadratic equation whose vertex is (2,3) and y intercept is 11
Answers
Answer:
y = 2(x - 2)² + 3 vertex form
y = 2x² - 8x + 11 standard form
Step-by-step explanation:
Vertex form
y = a(x - h)² + k
(h, k) = (2, 3)
y = a(x - 2)² + 3
To find "a" plug in the y-intercept (0, 11)
11 = a(-2)² + 3
11 = 4a + 3
Subtract 3 from both sides
8 = 4a
a = 2
y = 2(x - 2)² + 3
Expand
y = 2(x² - 4x + 4) + 3
y = 2x² - 8x + 11
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade
Answers
Answer:
pretty sure the answer is electrons so D
Step-by-step explanation:
Electrons are particles that surround the nucleus of an atom like a cloud
No links please 15 Points
Answers
Answer:
C
Step-by-step explanation:
A $550 T.V is discounted by 30%. It is then discounted another 10%
Answers
Answer:
$346.5
Step-by-step explanation:
10% of $550 is 55
3*55 = 165
550 - 165 = $385
10% of $385 is 38.5
385 - 38.5 = $346.5
Have a nice day! :-)
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answers
Answer: 125.6 inches cubed.
Step-by-step explanation:
Formula for cylinder volume: Volume=(pi times radius cubed) times height
3.14 x 4(radius)=12.56
12.56 x 10 (height) = 125.6
Hope this helps
19 students were surveyed on the number of hours of Netflix they watched last week.
The data from the survey is below:
{0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 10, 11}
What is the range in hours spent watching Netflix?
Show your work for full points!
Answers
Answer:
Solution given:
lowest =0
highest=11
the range in hours spent watching Netflix=
highest-lowest =11-0=
Range is 11.
Answer:
Solution : here ,
lowest = 0
Highest = 11
the range in hours spent watching Netflix
=highest — lowest
= 11 —0
= 11
the range = 11
hope it is helpful to you
If 4 is subtracted from a certain number and the difference is divided by 4, the result is 1 more than 1/6 of the original number. Find the original number
Answers
Answer:
Step-by-step explanation:
x-4/4=x/6+1
x-4 =4/6x+4
x-2/3x =8
1/3x =8
x=24
find the slope(4,9),(1,6)
plz help
Answers
Answer:
slope: m = 1
Step-by-step explanation:
geometry help pleaseeee
Answers
Answer: 11
Step-by-step explanation:
[tex]48=4x+4[/tex] (angles opposite congruent sides in a triangle are congruent)
This gives that x = 11
The Pythagorean Identity states that (sin x)^2 + (cos x)^2 = 1 Given cos 0 = 7/4 find sin 0. Simplify the fraction.
Answers
Answer:
sin∅=3/4
Step-by-step explanation:
sin²x+cos²x=1
sin²x+(√7/4)²=1
sin²x+7/16=1
sin²x=9/16
sinx=3/4
Therefore, sin∅=3/4
what is 2+2 4+4 8+8 i need math help
Answers
Answer:
2+2 is 4 4+4 is 8 8+8 is 16
Step-by-step explanation:
if you need them added up here: 4+8 =12 12+16 = 28
Mr. Thompson is buying rulers for his class.
Which option gives Mr. Thompson the best price per ruler?
A. 4 rulers for $1.00
B. 50 rulers for $15.00
C. 100 rulers for $20.00
D. 200 rulers for $30.00
Answers
Answer:
D: 200 rulers for $30.00. You have quite a few choices! You may need to find out the percentage [%] of each first.
Step-by-step explanation:
A: 1 Ruler for $0.25
B: $0.30
C: $0.20
D: $0.15
If the graph of y = - x ^ 2 translated horizontally 7 units to the right and translated vertically 6 units upwards, what’s the new equation?
Answers
9514 1404 393
Answer:
y = -(x -7)² +6
Step-by-step explanation:
Replacing x with (x-h) translates the graph h units to the right. You want h=7.
Replacing f(x) with f(x)+k translates the graph k units upward. You want k=6.
These transformations make the new equation be ...
y = -(x -7)² +6
Find the volume of the cube below
Answers
The table represents some points on the graph of a linear function.
What is the slope of the graph of the linear function?
Answers
Answer:
1 over 2
Step-by-step explanation:
9-(-7)=-2
-8-(-4)-4
-6-(-3)=-3
-2-4=-6
When you simplify both of the fractions -2 over -4 and -3 over -6
You get 1 over 2 as the slope for both. 1/2
Somebody Please help!!!
Answers
Answer:
176
Step-by-step explanation:
8+8+64+64+16+16
What voltage is required to force 4.5 amperes of current through an electric iron having a resistance of 25.5 ohms
Answers
Answer:
V = 114.75 Volts
Step-by-step explanation:
Ohm's Law V = IR
I = 4.5 A
R = 25.5 Ω
V = (4.5)(25.5)
V = [4×25.5] + [0.5×25.5]
V = 102 + 12.75
V = 114.75 Volts
Is the answer A, B, C, or D?
Answers
Answer:
A
Step-by-step explanation:
2 3/8=19/8=2.375