kazito sold an item for sh 4950 and made a 12 ¹/2profit.what was the cost price of the item?
Selling price = Sh 4950 , % profit = 12.5%, Cost price = ?
Selling Price / Cost price = 100 + rate/100
Sh 4950/Cost Price = 112.5/100
112.5 Cost Price = 4,95,000
Cost Price = Sh 4,400
The side length of an equilateral triangle is 5 centimeters. Find the length of an altitude. Round your answer to the nearest tenth.
The length of the altitude is about...
centimeters.
Answer:
4.3
Step-by-step explanation:
that's the answer rounded to the nearest tenth
The side length of an equilateral triangle whose side length 4.3 centimeter.
Given that,
The side length of an equilateral triangle is 5 centimeters.
We have to determine,
The length of an altitude.
According to the question,
An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side (or the line containing the opposite side).
The side length of an equilateral triangle is 5 centimeters.
Altitude of Equilateral Triangle is,
[tex]h = \dfrac{\sqrt{3}}{2}a\\\\h = \dfrac{\sqrt{3}}{2}5\\\\h = \dfrac{5\sqrt{3}}{2}\\\\h = 4.33[/tex]
Hence, The side length of an equilateral triangle whose side length 4.3 centimeters.
To know more about Equilateral triangle click the link given below.
https://brainly.com/question/16803837
How do you work out the size of angle x ?
Answer:
121°
Step-by-step explanation:
360-304=56
180-115=65
56+65=121
180-121=59
180-59=121°
Rewrite the rational function g(x)=x−4x in the form g(x)=c+rx, where c and r are constants.
Answer: g(x) = 0+(-3)x
Step-by-step explanation:
Given Function : g(x)=x−4x
To rewrite the above function g(x) in the form g(x)=c+rx, where c and r are constants.
Consider g(x)=x−4x = x(1-4)
⇒g(x) = -3x
⇒g(x) = 0+(-3)x
Here c = 0 , r =-3
Hence , the solution is g(x) = 0+(-3)x.
A function can be rewritten in several ways.
[tex]\mathbf{g(x) = x - 4x}[/tex] in form of [tex]\mathbf{g(x) = c + rx}[/tex] is [tex]\mathbf{g(x) = 0 - 3x}[/tex]
The function is given as:
[tex]\mathbf{g(x) = x - 4x}[/tex]
Evaluate like terms
[tex]\mathbf{g(x) = - 3x}[/tex]
Add 0 to the function
[tex]\mathbf{g(x) = 0 - 3x}[/tex]
Rewrite as:
[tex]\mathbf{g(x) = 0 + (- 3x)}[/tex]
Compare the above function to: [tex]\mathbf{g(x) = c + rx}[/tex];
We have:
[tex]\mathbf{c = 0}\\\\\mathbf{r = -3}[/tex]
Hence, [tex]\mathbf{g(x) = x - 4x}[/tex] in form of [tex]\mathbf{g(x) = c + rx}[/tex] is [tex]\mathbf{g(x) = 0 - 3x}[/tex]
Read more about rational functions at:
https://brainly.com/question/12419178
Use the Factor Theorem to verify that the given binomial is a factor
of P(x). Then divide.
(x+5); P(x)=2x + 6x - 20
The graph of f(x) = 2x+3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x - k. What is the value of k? (1 point)
a
3
7
Ob
Ос
10
Od
13
Answer:
more context please :)
Step-by-step explanation:
Answer:
more context please
Step-by-step explanation:
PLS HELP I WILLL GIVE BRANLIEST GIVING 100 PTS !!! PLS HELP!!!
Answer:
n = 2m
Step-by-step explanation:
n being the number of movies
and m being the months
Answer:
Step-by-step explanation:
idek bro idek
Describe the transformation of y=3(x-3)²+3
Answer:
Streatch by 3, Left by 3 and Up 3
On a quiet day without many witnesses, a 4.5 ft victim was shot by a sniper that was in a tower 780 ft away. If the angle of elevation is 5 degrees from the victim, at what vertical distance did the sniper shoot from
Answer:
68.17m
Step-by-step explanation:
Please see attached a rough sketch of the scenario
Step one:
Given data
Height of victim= 4.5ft
The horizontal distance of the snipper from the building = 780ft
The angle of elevation= 5 degrees
Required
The vertical distance
The opposite= the vertical distance
789 ft = the adjacent
Step two:
Applying SOH CAH TOA
tan ∅= opp/adj
tan 5= opp/780
cross multiply we have
0.0874= opp/780
cross multiply we have
0.0874*780= opp
opp= 68.17m
The sniper shoots from a vertical distance of 68.17m
1.- OBTENER LA ECUACION DE LA CIRCUNFERENCIA, QUE PASA POR EL PUNTO,
P (0,-2) , DE RADIO R= 4 cm , Y CUYO CENTRO, SE ENCUENTRA SOBRE
LA RECTA x - y = 6 . GRAFICAR.
Answer:
i dont speak that language l m a o
Step-by-step explanation:
Jeans are normally $60. They are currently priced 20% off. What would be the final price of the jeans?
Answer:
The final price of the jeans would be $48.
16. Solve the linear equation.
12x– 2 = 2x + 18
Answer:
x=2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x=2
Step-by-step explanation:
Use order of operations and isolate the variable.
Hope this helps! (sorry I'm really bad at explaining things).
what is the distance between the points at (8,4) and (5,1)?
[tex] \large{ \text{Hii,Hope \: you \: are \: fine!}}[/tex]
This is a question from coordinate geometry. This is a very simple question. You can solve it by using distance formula.
First we have to assume the coordinates as following:-
Let the coordinates of A be (8,4) and coordinates of B be (5,1).
Further we have to assume:-
[tex] \mapsto\sf{X_1=8}[/tex]
[tex]\mapsto \sf{Y_1=4}[/tex]
[tex]\mapsto \sf{X_2=5}[/tex]
[tex]\mapsto \sf{Y_2=1}[/tex]
Here we have distance formula:-
[tex] \sf{Distance \: of \: AB= \sqrt{({X_2-X_1) }^{2} + {( Y_2-Y_1) }^{2} } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{({5 - 8) }^{2} + {( 4 - 1) }^{2} } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{({ - 3) }^{2} + {( 3) }^{2} } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{9+ 9 } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{18} }[/tex]
[tex] \sf{Distance \: of \: AB= 3 \sqrt{2} cm }[/tex]
This is your final answer.
KINDLY VISIT WEB TO UNDERSTAND MORE CLEARLY.
HURRY I ONLY NEED AWSER
Answer:
x = 38
Step-by-step explanation:
Angles KLO and OLM form a linear pair.
Angles NMO and OML form a linear pair.
180 - 134 + 180 - 84 + x = 180
x + 142 = 180
x = 38
According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 30 minutes.
a. If the distribution of time spent on the job is approximately bell shaped, between what two times would 68% of the figures be?
enter the lower limit for the interval where 68% of the values would fall
to enter the upper limit for the interval where 68% of the values would fall
b. If the distribution of time spent on the job is approximately bell shaped, between what two times would 95% of the figures be?
enter the lower limit for the interval where 95% of the values would fall
to enter the upper limit for the interval where 95% of the values would fall
c. If the distribution of time spent on the job is approximately bell shaped, between what two times would 99.7% of the figures be?
enter the lower limit for the interval where 99.7% of the values would fall
to enter the upper limit for the interval where 99.7% of the values would fall
d. If the shape of the distribution of times is unknown, approximately what percentage of the times would be between 360 and 478 minutes?
At least enter percentages rounded to 1 decimal place
% (Round the intermediate values to 3 decimal places. Round your answer to 1 decimal place.)
e. Suppose a worker spent 400 minutes on the job. What would that worker’s z score be, and what would it tell the researcher?
z score = enter the z score rounded to 3 decimal places
(Round your answer to 3 decimal places.)
This worker is in the lower half of workers but within select the distance from the mean
standard deviation of the mean.
Step-by-step explanation:
Ah statistics
68-95-99.7
a. 68% is between -1 and 1 standard deviation, which is between 389 and 449 minutes
b. 95% is between -2 and 2 standard deviations, which is between 359 and 479 minutes
c. 99.7% is between -3 and 3 standard deviations, which is between 329 and 509 minutes
d. Use table A with a z-score of (360-419)/30 = -1.96666667
and with a z-score of (478-419)/30 = 1.96666667
NOTE THESE ARE NOT THE ANSWERS, but use the z-scores to find the percentage on table A
e. (400-419)/30 = -0.633333333 as his z-score
now find that value on table A
We are given the mean and the standard deviation. If the distribution is normal(bell-shaped), the Empirical Rule is used, otherwise, if the distribution is unknown, Chebyshev's Theorem is used.
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean of 419, standard deviation of 30.
Question a:
Within 1 standard deviation of the mean, so:
419 - 30 = 389.
419 + 30 = 449.
Between 389 and 449 minutes.
Question b:
Within 2 standard deviations of the mean, so:
419 - 60 = 359
419 + 60 = 479
Between 359 and 479 minutes.
Question c:
Within 3 standard deviations of the mean, so:
419 - 90 = 329
419 + 90 = 509
Between 329 and 509 minutes.
Question d:
Have to find how many standard deviations it is from the mean:
(478 - 419)/30 = 1.97
(360 - 419)/30 = -1.97
Considering [tex]k = 1.97[/tex]
[tex]100(1 - \frac{1}{1.97^{2}}) = 74.2[/tex]
At least 74.2% of the times would be between 360 and 478 minutes.
Question e:
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
In which X is the measure, [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.
For this question, X = 400, [tex]\mu = 419, \sigma = 30[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{400 - 419}{30}[/tex]
[tex]Z = -0.633[/tex]
This worker is in the lower half of workers but within 0.633 standard deviations of the mean.
For more on the Empirical Rule, you can check https://brainly.com/question/24244232
For more on the Chebyshev Theorem, you can check https://brainly.com/question/23612895
For more on z-scores, you can check https://brainly.com/question/16645591
What is 52.35 − 1.58 =
Answer: 52.35 − 1.58 = 50.77
Step-by-step explanation:
The average of the first five multiple of 7 is
a. 7
b. 14
c. 21
d. 28
n innings In the tenth innings he sco
Answer:
b. 21
Step-by-step explanation:
The first five mutiples of 7 are: 7, 14, 21, 28, 35. You can get these by multiplying 7 to any integer.
7x1 = 77x2 = 147x3 = 217x4 = 287x5 = 35In order to get the average of these numbers, you have to add them and divide the sum to the total number of multiples.
Let's add first.
7+14+21+28+35 = 105
Let's divided 105 by 5, which is the number of the multiples of 7.
105÷5 = 21
The answer is 21.
Solve the system using elimination. 4x+8y=48 4x-8y=-32
Answer:
y=6
Step-by-step explanation:
Evaluate
∫
π
−
π
cos
2
(
5
x
)
d
x
.
Answer:
[tex] _{ - \pi} \int ^{\pi} \cos(2(5x) dx = _{ - \pi} \int ^{\pi} \cos(10x) dx \\ let \: 10x \: be \: u \\ \frac{d(10x)}{dx} = du \\ dx = \frac{du}{10} \\ignore \: limits \\ _{ - \pi} \int ^{\pi} \cos(2(5x) dx = \int \cos(u) \frac{du}{10} \\ = \frac{1}{10} \sin(u) + c \\ substitute \: for \: u \\ = \frac{1}{10} \sin(10x) |^{\pi} _{ - \pi} \\ = \frac{1}{10} (( \sin(10\pi) - ( \sin( -10 \pi) ) \\ [/tex]
the price of a stock in a computer company is 25% greater than the cost of stock in a bank, b. write an expression for the sum of the prices of the stocks in the computer company in the bank in terms of b
Answer:
1.25b
Step-by-step explanation:
Let the cost of stock in a bank, b.
Now, since the price of a stock in a computer company is 25% greater than the cost of stock in a bank, it means;
the cost of stock in the computer company = b + 25%b = 1.25b
Thus,total cost of stock in both bank and computer company is;
Sum = 1.25b
Ethan sold 2/3
gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 and 1/4
gallons.
Who sold more lemonade, Ethan or Kayla? How much more?
Check your work.
Answer:
Ethan
Step-by-step explanation:
Mr.Travelswell is about to visit Germany and Sweden. He has £5000 to spend. He wants to exchange 60% of this into Euros in Germany, and the rest into Krona in Sweden. When he changes his £5000, 1 Euro = £0.75 and £1=12.63 Krona. Calculate how many Euros and how many Krona he will receive.
answer:
4000 Euros and 25260 kronas.
detailed answer:
If £5000 is 100percent of his money, then 60percent is £X
x=(60×5000)/100= 3000(£)
rest of it is £2000
lets calculate Euros first:
3000/0.75=4000 (Euro €)
now kronas:
2000×12.63=25260 krona.
At what rate should $1,000 be invested compounded
continuously to produce a final balance of $2,000 in
5 years?
A. 0.139%
B. 0.231%
C. 13.863%
D. 23.105%
Answer:
14.9%
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^t
A is the amount = $2000
P is the principal = $1000
r is the rate
T is the time = 5 years
Substitute the given values into the formula;
2000 = 1000(1+r)^5
2000/1000 = (1+r)^5
2 = (1+r)^5
[tex]\sqrt[5]{2} \\[/tex] = 1 + r
r = 1.149 - 1
r = 0.149%
Hence the required rate is 14.9%
Are the triangle similar
Answer:AAS
Step-by-step explanation:
Please help me with this question
Answer:
Step-by-step explanation:
a1 = 3;
a2 = 2(a1 - 2 ) = 2(3-2) = 2
a2 = 2
a3 = 2(a2-2) = 2(2-2) = 0
a3=0
a4 = 2(a3-2) = 2(0-2) = -4
a4 = -4
a5 = 2(a4 - 2) = 2(-4-2) = -12
a5 = -12
What’s twenty-six and thirty-four hundredths in standard form?
Answer:
that would be 2.64
Step-by-step explanation:
FREE BRAINLIEST. PLEASE ANSWER STEPBY STEP 1. 2. 3.
Answer:
8
Step-by-step explanation:
First do whats in the parenthesis:
(8+18/9)
Using PEMDAS again, we do the division first:
(8+2)
Now addition:
(10)
Now subtraction:
(10)-2
8
Read and solve each problem.
1. 1. A box of donut contains 12 pieces. Jane bought 24 boxes for
Jannea's birthday. About how many donuts did Jane buy in all?
a.) What is asked?
b.) What are the given facts?
c.) What operation is to be used?
d.) What is the number sentence?
e.) What is the complete answer?
Answer:
a) How many donuts did Jane buy>
b) A box of donuts contains 12 pieces, and Jane bought 24 boxes for Jannea's birthday.
c) Multiplication
d) ???
e) 288
Step-by-step explanation:
Please help!! Giving brainlist
Answer:
1. sun
2. gravity
3.Atmosphere
4. Hydrosphere
5. Run off
Step-by-step explanation:
A standard number cube,numbered 1 through 6 on each slide,is rolled 4 times.What is the probability of rolling a 2 on all three rolls? Express your answer as a fraction.
Answer:
The answer is 1/216
Step-by-step explanation:
for the first roll, you have a 1/6 chance to roll a 2
same for the other two rolls
so,
1/6*1/6*1/6=1/216
hope that helps