For a project in her Geometry class, Kylie uses a mirror on the ground to measure the
height of her school's flagpole. She walks a distance of 14.25 meters from the flagpole,
then places a mirror on flat on the ground, marked with an X at the center. She then
steps 1.35 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 1.25 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.
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
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Jane Rose’s semimonthly salary is $750. Her yearly salary is A.$9000 B. $12,500 C. $18,000 D. $19,500 E. $21,000
Answer:
C. $18,000
Step-by-step explanation:
Given that her semimonthly salary is $750, find her yearly salary.
Semimonthly means twice a month, meaning that she will receive 24 paychecks every year.
750x24=18,000
=$18,000
Hope this helps :)
figure b is a scaled copy of figure a
Step-by-step explanation:
figure B is a scaled copy of figure B
by scale factor : 1/2
What is negative 10 divided by .22
Answer:
That would be negative 45 or - 45
Please correct me if im wrong
Which transformations map the strip pattern onto itself?
PPPPP
O
a horizontal translation only
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
a horizontal translation and a 180° rotation
Answer:
2nd is correct
But u can also write by guessing. it is the best trick used by toppers.
9.
Use vertex form to write the equation of the parabola.
A. y = (x + 3)^2 - 3
B. y = 2(x - 3)^2 - 3
C. y = 2(x - 3)^2 + 3
D. y = 2(x + 3)^2 - 3
Answer:
Step-by-step explanation:
hmm
does the graph represent a function?
Answer:
No
Step-by-step explanation:
fails the vertical line test, a test to see if a vertical line can touch 2 points on a graph at the same time.
If there are 42 boys and 30 girls in a room
Ratios
42 / 6 = 7
30 / 6 = 5
7 boys and 5 girls on each of 6 teams.
Note, this is the minimum number of boys and girls on a team.
There could be 70 boys and 50 girls on each of the 6 teams.
Or even 7000 boys and 5000 girls.
Ratio does not provide an specific number only the relation between two quantities
Which is the better deal? $39.55 for 7 pairs of jeans OR $22.48 for 4 pairs of jeans
Answer:
I will say %39.56 for 7 pairs because you'll have 7 pair of jeans so you don't have to buy more if some of your jeans rips or something happens so yeah.
Answer:
$39.55 for 7 pairs of jeans
Step-by-step explanation:
The LCM of 7 and 4 is 28, so I decided to use that as an example.
4×7=28
22.48×8=179.84
So if you wanted 28 jeans, you'd be paying $179.84
- - - - -
Now the first deal.
7×4=28
39.55×4=158.2
For 28 jeans, you'd be paying $158.20
For 28 jeans, the first choice offers a better deal than the other.
Mind you, I know the word problem isnt about 28 jeans. But since 28 was the LCM of 4 and 7, I decided to use it as an example
3. Find the difference between the two expressions.
1x - 5y)-1(x + 2y)
Answer:
[tex]-7y[/tex]
Step-by-step explanation:
Our equation is:
[tex]\left(1x-5y\right)-1\left(x+2y\right)[/tex]
First we dritribute
Now we have, [tex]x-5y-x-2y[/tex]
[tex]Combine[/tex] light terms
and we get [tex]-7y[/tex]
write 90 cm as percentage of a metre??
Answer: 90%
Step-by-step explanation:
90 cm is 0.9 m
and 0.9 m is 90% of 1 m
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,380 ft Determine the flag's width and length if the length is ft greater than the width.
Answer:
Length is 50ft, width is 160ft
Step-by-step explanation:
Solve the equation: q –10 = -10
Answer:
q=0
Step-by-step explanation:
-----------------------------
q - 10 = - 10
q = 0
<3
need help with these questions
Step-by-step explanation:
these are both quadratic curves, parabolas, and factorization means to express the 2 terms as multiplication with each other, so that the result would be the simplified function. in other words : find the two factor terms that make the whole function.
the advantage of factorization is to see the 2 solutions for y=0 right away.
the general form is
y = (x + a)(x + b)
and the y=0 solutions are then simply x = -a and x = -b.
in example 3 we have 2 different y=0 solutions, seemingly at x = 1 and x = 5.
that makes the factorization :
y = (x - 1)(x - 5)
when x becomes one of these values, the corresponding factor becomes 0 and therefore y becomes 0 too.
in example 4 we have only one y=0 solution (or so it seems; in fact there are still formally 2 solutions, they are just equal).
it is seemingly at x = -2.
since both solutions are equal, we have also two equal factors.
that makes the factorization
y = (x + 2)(x + 2) = (x + 2)²
A partnership begins its first year with the following capital balances:
Alexander, Capital . . . . . . . . . . . . . . . . . . . . . . . . $ 90,000
Bertrand, Capital . . . . . . . . . . . . . . . . . . . . . . . . . 100,000
Coloma, Capital . . . . . . . . . . . . . . . . . . . . . . . . . . 160,000
The articles of partnership stipulate that profits and losses be assigned in the following manner:
∙ Each partner is allocated an interest equal to 5 percent of the beginning capital balance.
∙ Bertrand is allocated compensation of $45,000 per year.
∙ Any remaining profits and losses are allocated on a 3:3:4 basis, respectively.
∙ Each partner is allowed to withdraw up to $25,000 cash per year.
Assuming that the net income is $115,000 and that each partner withdraws the maximum amount
allowed, what is the balance in Coloma’s capital account at the end of the year?
a. $143,000
b. $135,000
c. $168,000
d. $164,000
Based on the information given the balance in Coloma’s capital account at the end of the year is: d. $164,000.
First step is to calculate the interest on capital for each partner
Alexander=$90,000×5%=$4,500
Bertrand=$100,000×5%=$5,000
Coloma=$160,000×5%=$8,000
Second step is to calculate Coloma capital and drawing
Coloma capital =$160,000 + (5% x $160,000)
Coloma capital=$160,000+ $8,000
Coloma capital=$168,000
Coloma drawing=$168,000-$25,000
Coloma drawing=$143,000
Third step is to calculate Coloma share of profit
Share of profit=$115,000-$45,000-$4,500-$5,000-$8,000
Share of profit=$52,500
Coloma profit=4/(3+3+4)×$52,500
Coloma profit=4/10×$52,500
Coloma profit=4/(3+3+4)×$52,500
Coloma profit=$21,000
Fourth step is to calculate balance in Coloma’s capital account
Coloma’s capital account balance=$143,000+$21,000
Coloma’s capital account balance=$164,000
Inconclusion the balance in Coloma’s capital account at the end of the year is: d. $164,000.
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Write a linear function f give f(0)=2 f(3)=-1
Answer:
f(x) = ax + b,
Step-by-step explanation:
Am Not Really Sure About The Answer, So Pls Try And Cross Check It
how can you simplify 24 to 96
Step-by-step explanation:
Reduce 24/96 to lowest terms
Find the GCD (or HCF) of numerator and denominator. GCD of 24 and 96 is 24.
24 ÷ 2496 ÷ 24.
Reduced fraction: 14. Therefore, 24/96 simplified to lowest terms is 1/4.
Step-by-step explanation:
Here is an Explanation
Reduce 24/96 to lowest terms
The simplest form of
24
96
is
1
4
.
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 24 and 96 is 24
Divide both the numerator and denominator by the GCD
24 ÷ 24
96 ÷ 24
Reduced fraction:
1
4
Therefore, 24/96 simplified to lowest terms is 1/4.
Please help me answer it please no links or you will be reported
Answer:
what answer
Step-by-step explanation:
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if there was a group of ten people the probability of two of them being born on the same day of the same week is 1? is this correct yes or no explain you answer.
Answer:yes
Step-by-step explanation:
Im not that good but if there is a birth rate of 1000 people per day then if you estimate that awnser you have a possibility of 60%
A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?
9514 1404 393
Answer:
4.5 lb
Step-by-step explanation:
The ingredients are proportional so ...
wheat/rice = 3/2 = ??/3 lb
Multiplying by 3 lb gives ...
?? = (3 lb)(3/2) = 9/2 lb = 4.5 lb
The mixture contains 4.5 lb of wheat.
_____
Additional comment
Writing the proportion with the unknown in the numerator makes it possible to find the solution in one step (multiply by the denominator). Any proportion can be written 4 different ways, so you can always choose one that makes the solution easy. (upside down and sideways)
a/b = c/d ⇔ b/a = d/c ⇔ a/c = b/d ⇔ c/a = d/b
1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)
Answer:
(a) a function, but not one-to-one
Step-by-step explanation:
The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.
The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.
__
Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).
The graph is a function, but not one-to-one.
PLEASE HELP! Economics
Answer:
C is the answer.
Step-by-step explanation:
the US capital account was in surplus and Japanese current account
work out the area of this quarter circle take p2b 3.14 to and read and other digits given by a calculator
Answer:
Step-by-step explanation:
area of a full circle is A = πr²
so a quarter of a circle area is A = πr²/4
A = 3.142(7²)/4
A = 38.4895 cm² picture answer
Using π = 3.14 results in
A = 3.14(7²)/4
A = 38.465 cm² written question answer
For comparison purposes,
Carrying the precision of π into many more significant digits results in
A = 38.484510006474...cm²
What is 78 1/3 as a decimal?
Pls help!
Answer:
78.333333333
Step-by-step explanation:
Hello, is there anyone here a pharmacy technician?
Victor drives a distance of 21.45 miles everyday from home to his office. He moves into a new apartment that is just 3.65 miles away from his office. Determine the distance by which Victor has lessened his drive to the office.
Answer:
17.8 miles
Step-by-step explanation:
His old house was 21.45 miles from the office. He moves to a new apartment which is just 3.65 miles from the office.
Since it asks for the distance he reduced to the office, we would do
21.45 - 3.65 = 17.8 miles
help me pls I'm so confused
Answer:
I feel like it's A
Step-by-step explanation:
The dot looks closer
Answer and Step-by-step explanation:
The first graph (option) is the correct answer.
The line create in this graph is called the "Line of Best Fit", in which the line has to be somewhere in the middle of all the points on the scatter plot graph. The line shows the relation of the points to each other.
The line is in more proportion to the points than with the other graph.
#teamseas #PAW (Plant And Water)
I hope this helps!
8 x 1 = 4 x _____ 8 x 2 = 4 x _____ 8 x 3 = 4 x _____ 8 x 4 = 4 x _____ 8 x 5 = 4 x _____ 8 x 6 = 4 x _____ 8 x 7 = 4 x _____ 8 x 8 = 4 x _____ 8 x 9 = 4 x _____ 8 x 10 = 4 x _____ Write two or three sentences to explain the pattern.
1)2
2)4
3)6
4)8
5)10
6)12
7)14
8)16
9) 18
10) 20
Please take a look at the picture
What is 55% of 20?!?!?!
Answer:
11
Step-by-step explanation:
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
use the method:
is/of and %/100
plug in 55 for the percent, and 20 for 'of'
should be: x/20 and 55/100
cross multiply to get 11.
1%of 20 is 0.2 0.2x5=1 5% of 20 is 1
10% of 20 is 2 2x5=10 50% of 20 is 10
1+10=11
That is just how i do it to make it easier for others, and sometimes for me.