The project in her Geometric class is an illustration of equivalent ratios
The approximated height of the flagpole is 13.19 meters
The given parameters are:
Distance from flagpole (D) = 14.25
Distance to the other side of the mirror (d) = 1.35
Kylie's height (h) = 1.25
To calculate the height (H) of the flagpole, we make use of the following equivalent ratios
[tex]\mathbf{D :d = H :h}[/tex]
Substitute known values
[tex]\mathbf{14.25 :1.35 = H :1.25}[/tex]
Express as fraction
[tex]\mathbf{\frac{14.25 }{1.35 }= \frac{H }{1.25}}[/tex]
Multiply both sides by 1.25
[tex]\mathbf{H = 1.25 \times \frac{14.25 }{1.35 }}[/tex]
Multiply
[tex]\mathbf{H = 13.19 }[/tex]
Hence, the approximated height of the flagpole is 13.19 meters
Read more about equivalent ratios at:
https://brainly.com/question/18441891
The graph shows the distribution of the amount of time (in minutes) people spend watching TV shows on a popular streaming service. The distribution is approximately Normal, with a mean of 71 minutes and a standard deviation of 15 minutes.
A graph titled Streaming T V has time (minutes) on the x-axis, going from 11 to 131 in increments of 15. The highest point of the curve is at 71.
What percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service?
a- 13.5%
b- 34%
c- 47.5%
d- 95%
answer:a 13.5
Using the normal distribution, it is found that the percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service is:
a) 13.5%
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 71, hence [tex]\mu = 71[/tex]The standard deviation is of 15, hence [tex]\sigma = 15[/tex]The proportion between 41 and 56 minutes is the p-value of Z when X = 56 subtracted by the p-value of Z when X = 41, hence:
X = 56:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{56 - 71}{15}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.16
X = 41:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41 - 71}{15}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.025
0.16 - 0.025 = 0.135
0.135 x 100% = 13.5%
Hence option a is correct.
A similar problem is given at https://brainly.com/question/25769446
determine the slope and y intercept and write the equation in slope intercept form
Answer: slope is 2 and the y-intercept is 1 intercept form is y=2x+1
Step-by-step explanation:
A farmer had 21 goats all but 9 died how many survive ?
Answer:
9
Step-by-step explanation:
All but 9
Answer:
12
Step-by-step explanation:
I used a calculator I hhhhhhj
Solve
-4(-2)
A. -8
B. -6
C. -2
D. 8
Answer:
D
..............................
Which of the following best describes a ratio?
Often time we want to relate one amount or quantity with another, from the given options the one that best describes a ratio is option
A. A comparison of two numbers
A ratio indicates how many times one number contains another. E.g, if there are five balls and nine lemons in a bowl of fruit, then the ratio of balls to lemons is five to nine. Similarly, the ratio of lemons to oranges is 5∶8
Learn more on ratios:
https://brainly.com/question/2328454
-2-(3(x+6)-9-(7-x)-3x
Answer:
- 24 - 5x
Step-by-step explanation:
1) Remove Parentheses
-2 - 3x - 6 - 9 - 7 + x - 3x
2) Collect like terms
( -2 - 6 - 9 - 7) + (-3x+x-3x)
3) Simplify
Which of the diagrams shows an exponential graph?
Answer:
Diagram "C"
Step-by-step explanation:
The curve eventually shows that it is an exponentially graph
There are 550 calories in 100 g of bacon. There are 196 calories in a fried egg. Philip has 60 g of bacon and two fried eggs for breakfast. Work out the total number of calories in this breakfast.
Answer:
509.6 calories
Step-by-step explanation:
196+196=392 calories
10g of bacon=19.6 calories
60g of bacon=19.6×6=117.6 calories
392+117.6=509.6 calories
Two integers are relatively prime if, and only if, their greatest common divisor is 1. For example, 2 and 3 are relatively prime, 1 and 1 are relatively prime, but 2 and 2 are not. You toss two dice, one blue and one gray. What is the probability that when the dice stop rolling that the pip count on the blue die is relatively prime to the pip count on the gray die and the gray die is showing six pips
Answer:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Round 61.373737842 to the nearest ten-millionth
Answer:
61.3737378
Step-by-step explanation:
First find the ten millionth digit, and the digit after it.
The digit "8", the seventh digit to the right of the decimal point is the ten millionth digit.
As the digit after "8" is 4, which is less than 5, so simply round the digit "4" down.
Thus the answer is 61.3737378
51 is 10% of what number
Answer:
10 percent of 51 is 5.1
Answer:
51=10
510=100
Step-by-step explanation:
51=10/100
x10
510
A. What is the formula for exponential growth?
B. What does each variable mean?
Please someone help!!! It’s for my final pleaseee!!!
Answer:
A. exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r. ... r is the percent growth or decay rate, written as a decimal, b is the growth factor or growth multiplier.
-
What are the odds of winning a game, if the probability of winning the game is 4/10
Answer:
40%
Step-by-step explanation:
4/10 = 40/100
40/100 as a percentage is 40%
QUICK! I NEED HELP ASAP
---------------------
w−(−1/3)=2.05
Enter your answer as a mixed number in simplest form in the box.
w =
Answer:
w=6
Step-by-step explanation: you should just look it up on line
Answer:
The correct answer is 1 43/60
Step-by-step explanation:
you convert 2.05 to a fraction and get 2 23/60 - (-1/3) = 1 43/60
i also took the test
solve pls brainliest
Answer:
for the first one it 2
3
12
A jogger ran 13.5 miles in 3 hours.
What is the unit rate?
Answer:
Unit rate = 4.5 mph.
Step-by-step explanation:
Unit rate: 13.5/3
=> Unit rate: 4.5 mph.
Hoped this helped.
Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.
O polygon, hexagon
O polygon, dodecagon
polygon, decagon
O not a polygon
it is a polygon and it would be a decagon since there are 10 sides
Answer:
It is a polygon, hexagon.
Step-by-step explanation:
Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.
solve the inequality x-3 < 3x -7
Answer:
x > 2 or 2 < x
Step-by-step explanation:
x-3 < 3x-7
-3 < 2x-7
4 < 2x
2 < x
x > 2
Choose all options that apply.
Hey there!
Guide ⬇️
• Cup: is a cooking measurement for volume, it very much common in sizes & cooking things.
• Tablespoon: a abundant (huge) sized spoon that’s used for serving.
• Liter: is the limitation of volume that is held which is balanced (equal to) to ONE cubic decimeter.
• Fluid ounce: is basically unit space that is held at 1/16th of a US pint.
Based on that information the one that seems closer to the RIGHT answer is:
[Option A. Cup]
[Option B Tablespoon]
[Option D. Fluid Ounce]
Random fact:
• [1 (US) CUP] is approximately [8 (US) OUNCE]
• [1 (US) TABLESPOON] is approximately [1/2 (or 0.5)(US) US OUNCE)
• [1 FLUID OUNCE] is approximately [28.35 GRAM]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
9514 1404 393
Answer:
a. cup
b. tablespoon
d. fluid ounce
Step-by-step explanation:
The liter is a metric unit of measurement of volume. US Customary units are not metric units. Rather, volume in the US is measured in ...
teaspoons
tablespoons (= 3 teaspoons)
fluid ounces (= 2 tablespoons)
cups (= 8 fluid ounces)
pints (= 2 cups)
quarts (= 2 pints)
gallons (= 4 quarts, = 231 cubic inches)
(oil) barrels (= 42 gallons)
and the measurements based on length:
cubic inch
cubic foot (= 1728 cubic inches)
cubic yard (= 27 cubic feet)
acre-foot (= 43560 cubic feet)
__
Above are the fluid measurements. In the US system, there are also dry measures that include ...
gallon (= 268.8025 cubic inches--different from fluid gallon)
peck (= 2 gallons)
bushel (= 4 pecks)
How to find answer to: 8% of ? = 20
Answer:
You have to do 8/100 * 20
Step-by-step explanation:
One x-intercept for a parabola is at the point (-0.4,0). Use the quadratic formula to find the other x-intercept for the parabola defined by this equation: y = 5x2 + 7x + 2 Separate the values with a comma. Round, if necessary, to the nearest hundredth.
Answer:
-1
Step-by-step explanation:
Set y=0.
[tex]5 {x}^{2} + 7x + 2 = 0 \\ x = \frac{ - 7± \sqrt{ {7}^{2} - 4(5)(2)} }{2(5)} \\ x = \frac{ - 7± \sqrt{ 9} }{10} \\ x = \frac{ - 7±3}{10} \\ x = - \frac{2}{5} \: \: \: \: or \: \: \: \: - 1[/tex]
The x-intercepts are - 0.4 and - 1.
The other x-intercept is - 1.
Answer: 1,0
Step-by-step explanation:
Which of the following is the greatest common factor of 48 and 32?
Answer:
8
Step-by-step explanation:
cus...
Is 5.12 times 10n =512
Answer:
it is D
Step-by-step explanation:
I have to show you, but if I do it don't on the paper
a car traveling at 49 ft/sec decelerates at a constant 7 feet per second squared. how many feet does the car travel before coming to a complete stop?
Answer:
7feet I hope this help you.
What is one website you can visit in order to request free credit report from any of the three bureaus?
Answer: annualcreditreport.com
Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228
Question: Assume you have a balance of $1000 on a credit card with an APR of 12%, or 1% per month. You start making monthly payments
of $200, but at the same time you charge an additional $100 per month to the credit card. Assume that interest for a given month is based on
the balance for the previous month. The following table shows how you can calculate your monthly balance. Complete and extend the table to
show the balance at the end of each month until the debt is paid off. How long does it take to pay off the credit carddebt?
nts
Fill out the table row by row and continue until the last full payment. Round to the nearest cent as needed.
Month
Payment
Expenses
Interest
New Balance
a
urces
0
---
$1000
es
1
$200
$100
$10
$910
4/7
fing
2
$200
$100
ection
3
$200
$100
4
$200
$100
1. The extension of the table to show the month-end balances until full debt settlement is as follows:
Month Payment Expenses Interest New Balance
0 $0 $0 $0 $1,000
1 $200 $100 $10 $910 ($1,000 - $200 + $100 +$10)
2 $200 $100 $9.10 $819.10 ($910 - $200 + $100 + $9.10)
3 $200 $100 $8.19 $727.29 ($819.10-$200+$100+$8.19)
4 $200 $100 $7.27 $634.56 ($727.29-$200+$100+$7.27)
5 $200 $100 $6.35 $540.91 ($634.56-$200+$100+$6.35)
6 $200 $100 $5.41 $446.32 ($540.91-$200+$100+$5.41)
7 $200 $100 $4.46 $350.78 ($446.32-$200+$100+$4.46)
8 $200 $100 $3.51 $254.29 ($350.78-$200+$100+$3.51)
9 $200 $100 $2.54 $156.83 ($254.29-$200+$100+$2.54)
10 $200 $100 $1.57 $58.40 ($156.83-$200+$100+$1.57)
11 $200 $100 $0.58 ($41.02) ($58.40-$200+$100+$0.58)
Data and Calculations:
Credit card balance = $1,000
APR = 12%
Monthly APR = 1%
Monthly payments = $200
Monthly charge = $100
Learn more: https://brainly.com/question/24317087
George read 72% of a book. If he reads 270 pages how many pages are there in the book?
Answer:
375 pages
Step-by-step explanation:
270 = 72%
=> 270/72 = 72/72
=> 3.75 = 1%
=> Number of Book pages = 375
Hoped this helped.
Solve the inequalities from parts A and D for the variables b and n, respectively.
Part A:2b<56
Part D:n<56
Answer:
Part A: b < 28
Part D: n < 56
Step-by-step explanation:
part A: divide each term in and simplify.
Inequality Form: b < 28
part d: this is already solved but can be shown in multiple forms.
Inequality Form: n < 56
Interval Notation: ( -∞ , 56)
please help i am stuck
Explanation:
All of these are done the same way.
1. Set your compass to a distance slightly longer than the distance from the point to the line you want the perpendicular to.
2. Using the point as a center, draw an arc that intersects the line in 2 places. Consider those points to be "P" and "Q".
3. You can leave the compass as is, or set it to any other distance longer than half the distance between P and Q. Using this radius, and using P and Q as centers, draw intersecting arcs on the other side of the line from the original point. Consider the intersection of those arcs to be point "R".
4. A line through the original point and point R will be perpendicular to the line, as you want.
_____
In problem 1, the point and line are obvious.
In problem 2, the point is the vertex opposite the line of interest. (There will be 3 similar constructions.)
Solve the inequality -3/4(12x+16)<9-5x.
Answer:
x > -21/4
Step-by-step explanation:
Answer:
x > -24/4
Step-by-step explanation:
-3/4 (12x + 16) < 9 - 5x
-3/4 * 12x - 3/4 * 16 < 9-5x
-9x - 3/4 * 16 < 9 - 5x
-9x - 12 < 9 - 5x
-4x - 12 < 9
-4x < 21
