Answer:
The other leg is 12 cm long.
Step-by-step explanation:
c
2
=
a
2
+
b
2
,
where:
c
is the hypotenuse, and
a
and
b
are the other two sides (legs).
Let
a
=
9 cm
Rearrange the equation to isolate
b
2
. Plug in the values for
a
and
c
, and solve.
b
2
=
c
2
−
a
2
b
2
=
(
15 cm
)
2
−
(
9 cm
)
2
Simplify.
b
2
=
225 cm
2
−
81
cm
2
b
2
=
144 cm
2
Take the square root of both sides.
b
=
√
144 cm
2
Simplify.
b
=
12 cm
Answer:
14.14 cm
Step-by-step explanation:
using the Pythagorean theorem:
?² = 15² - 5² = 225 - 25 = 200
? = √200 = 14.14 cm
Need help on this please asap.
Answer:
This is confusing
Step-by-step explanation:
A train ticket in a certain city is$1.50. People who use the train also have the option of purchasing a frequent rider pass for $15.75each month. With the pass, each ticket costs only $0.75. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.
Answer:
15.75-1.50=14.15
14.15-0.75=13.50
Find the slope!
19.) (-3, 4) and (-4,-2)
Answer:
Slope is 6
Step-by-step explanation:
(-3, 4) and (-4, -2)
m=(y2-y1)/(x2-x1)
m=(-2 - 4)/(-4 + 3)
m= (-6)/(-1)
m = 6
If you place a 37-foot ladder against the top of a building and the bottom of the ladder is 22 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot
Answer:
29.7 ft tall
Step-by-step explanation:
29.75ft. tall is the building.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
Here, we have,
from the figure , we get,
Hypotenuse = 37 ft.
Base= 22 ft.
Let, the building = height = x ft.
Now , by Pythagorean theorem, we have,
x=√37²-22²
=√885
=29.75
Hence, 29.75ft. tall is the building.
To learn more on Pythagorean theorem click:
brainly.com/question/24302120
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What is the sum?
46 mins left please help!!!!!
Which of the following equations is of a parabola with a vertex at (3.0)?
Answer:
D) y= x^2 +3
Step-by-step explanation:
What is the distance between points A and B? Enter your answer, rounded to the nearest tenth, in the box. units
Answer:
Distance between A and B = 10.4 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of A = (-5 , 2)
Coordinate of B = (5 , 5)
Find:
Distance between A and B
Computation:
Using distance formula
Distance between two point = √(x1 - x2)² - (y1 - y2)²
Distance between A and B = √(-5 - 5)² - (2 - 5)²
Distance between A and B = √(-10)² - (-3)²
Distance between A and B = √100 + 9
Distance between A and B = √109
Distance between A and B = 10.4403
Distance between A and B = 10.4 unit (Approx.)
Answer:
10.4
Step-by-step explanation:
took the k12 test (:
please help me this is confusing please add an explanation to it
Answer:
2
Step-by-step explanation:
As it would look better.
1 would make the graph too big
12 would be useless as there are no "answers" more than 12
10 would be useless too as the biggest number used is 10. therefore, 5, 7 would be cramped and too hard to figure out.
PLZ HELP MEE!!!
NO LINKS OR WEBSITES!!! YOU WILL GET REPORTED!!!
Answer:
[tex]90 in^{2}[/tex]
Step-by-step explanation:
Base is an equilateral triangle
slant hight= 12 in
side of base= 5 in
so, perimeter of base = 3(5)=15 in
lateral area = 1/2 pl =1/2 (15)(12) in
=90 in²
--------
hope it helps..
have a great day!!
Answer:
Step-by-step explanation:
lateral area = 1.5*12*5 =90
If = cos + (3 − 2
2
) − (3 + 2), find
2
Answer:
2
Step-by-step explanation:
I found it
What did you really want me to do
Answer: =−4.459698
Step-by-step explanation: Hope this is what you want & Hope this help :D
A ball rebounds 70% of its original height. It is dropped from an initial height of 400 cm.
Answer:
280cm
Step-by-step explanation:
Given data
Robound= 70%
Initial height= 400cm
Let us calculate the final height after the rebound
=70/100*400
=0.7*400
=280cm
Hence the new height after the rebound is
280cm
please help. I need this one and my last question and im done
Answer:
The value of X is 4, and the area of the triangle is [tex]60^2 units[/tex].
Step-by-step explanation:
First we need to add up all the sides. Doing so will give us the equation [tex]8x+8=40[/tex]. Subtracting 8 from both sides will give us [tex]8x=32[/tex]. Next we divide both sides by 8 in order to isolate the variable, which gives us [tex]x=4.[/tex]
This gives us 4 as our value of x.
Now we need to find the area. Substituting x into the values for base and height will give us 8+7 = 15 for our height, and 4+4=8 for our base. 15*8 is 120, and divided by two gives us 60 as out area.
Thus, x=4 and area=60.
Good day from NightyKnight.
he following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 8 7 10 7 7 11 6 6 10 7 6 9 8 7 10 6 6 10 Compute the values identified below (to 1 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Use
Answer:
Sum of Squares=50.5
Treatment Sum of Squares, 4.5
Error Mean Squares, 0.3
Treatment Mean Squares 0.9
Error Sum of Square = 3
Step-by-step explanation:
Given data
Observation A B C
1 8 7 10
2 7 7 11
3 6 6 10
4 7 6 9
5 8 7 10
6 6 6 10
A B C Row total (xr)
1 8 7 10 25
2 7 7 11 25
3 6 6 10 22
4 7 6 9 22
5 8 7 10 25
6 6 6 10 22
Col total (xc) 42 39 60 141
Using calculator for summarizing data
∑x²=1155 ⇒(A)
∑x²c/r=16(42²+39²+60²)
=1/6(1764+1521+3600)
=1/6(6885)
=1147.5⇒(B)
∑x²r/c=13(25²+25²+22²+22²+25²+22²)
=1/3(625+625+484+484+625+484)
=1/3(3327)
=1109⇒(C)
(∑x)²/n=(141)²/18
=19881/18
=1104.5⇒(D)
Sum of squares total
SST=∑x²-(∑x)²/n=(A)-(D)
=1155-1104.5
=50.5
Sum of squares between rows
SSR=∑x²r/c-(∑x)²/n=(C)-(D)
=1109-1104.5
=4.5
Sum of squares between columns
SSC=∑x²c/r-(∑x)²n=(B)-(D)
=1147.5-1104.5
=43
Sum of squares Error (residual)
SSE=SST-SSR-SSC
=50.5-4.5-43
=3
ANOVA table
Source Sums Degrees of Mean Squares
of Variation of Squares freedom F- value
SS DF MS
Between Treatments SSR=4.5 r-1=5 MSR=0.9 3
Between Blocks SSC=43 c-1=2 MS =21.5 71.6667
Error (residual) SSE=3 (r-1)(c-1)=10 MSE=0.3
Total SST=50.5 rc-1=17
Math please help!!!!
Answer:
6.3 years
Step-by-step explanation:
Given
[tex]P = 22400[/tex] --- initial value
[tex]r = 12\%[/tex] -- rate
[tex]A = P(0.88)^t[/tex] --- function
Required
Find t when [tex]A = 10000[/tex]
We have: [tex]A = P(0.88)^t[/tex]
Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]
[tex]10000 = 22400 * 0.88^t[/tex]
Divide both sides by 22400
[tex]0.4464 = 0.88^t[/tex]
Take log of both sides
[tex]\log(0.4464) = \log(0.88^t)[/tex]
Apply law of logarithm
[tex]\log(0.4464) = t\log(0.88)[/tex]
Solve for t
[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]
[tex]t = \frac{-0.3503}{-0.0555}[/tex]
[tex]t = 6.31[/tex]
[tex]t \approx 6.3[/tex]
Please help?
(I learned this way back so I kinda forgot)
Answer:Question
Please help?
(I learned this way back so I kind forgot)
1 Which model represents 2(-3)
figure c represents 2(-3)
Answer:
1 Which model represents 2(-3)
figure c represents 2(-3)
Step-by-step explanation:
Pls help I’ll brainlest ASAP
Answer:
B
Step-by-step explanation:
B is the best choice because the sample is random and represents a small portion of the entire school. The other choices are targeted for a specific group that wouldn't represent all students.
Answer:
B
Step-by-step explanation:
What is the area of a concrete floor that is 110 feet long and 65 feet wide? The floor area is square feet.
Answer:
7150 square feet
Step-by-step explanation:
The area of a rectangle is the length times the width.
110*65=7150
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for more than 1 year and less than 6 years?
4 schools
8 schools
10 schools
20 schools
Answer:
20 schools is your answer
Have a good day
Answer:
20 is ur answer!
Step-by-step explanation:
I took the test and got it right, also credit goes to the other guy! Have a good day/night! <3
hewo the whole world that i hate^^
Royston plays a video game 7 times. His scores are 60, 65, 66, 74, 69, 72, and 63. Which is the best measure of center of Royston's performance?
median
middle number
mean
mode
Answer:
Mean: 67
Median: 66
Mode: no mode
Range: 14
Step-by-step explanation:
Answer:
mean
Step-by-step explanation:
Anyone know this answer Help ASAP
Answer:
The right answer is A (x=2,y=-1)
7. What is the area of a triangle whose base is 14 cm and a height of 12 cm?
Answer:
84 cm²
Step-by-step explanation:
1/2x14x12=84
F(6) = 2(6)^2 + 5 sqrt(6-2)
Answe well this look complicated gimme some time
Step-by-step ex
Which of the following sentences describes an equilateral triangle?
A:
Two sides are the same length.
B:
Each angle is less than 90 degrees.
C:
One of the angles equals 90 degrees.
D:
The lengths of all three sides are the same.
Sharon paid $19.50 sales tax on a new camera. If the sales tax rate is 6.5%, what was the total cost of the camera including tax? Round to the nearest cent (hundredths place).
Answer:
i think its 1.2 dollors im not 100 percent sure
Step-by-step explanation:
Please help!
If the measure of O equals 69°, then what is the measure of N?
A.
81°
B.
21°
C.
111°
D.
69°
Answer:
D. 69°
Step-by-step explanation:
Opposite angles are congruent.
Answer:
N is also 69 so the an is D) 69
Step-by-step explanation:
The total cost of attending the movies, y, is directly proportional
with the number of tickets purchased, x. If it costs a family of four
$38.00 to attend the movies, what is the slope of this
relationship?
Answer:
The slope should be 34.00.
Step-by-step explanation:
Help pleaseeeeeeeeeeee
Answer;
Mark traveled at the highest velocity to Charleston
A class has five students. What is the probability that exactly two of the students were born on a weekend?
Answer:
This is binomial.
Here n = 5
p = 2/7
mean = np = 5*2/7 = 10/7 = 1.42857
standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015
Step-by-step explanation:
Work Shown.
The probability that exactly two of the five students of the class were born on weekend is 0.2975
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
n = 5
The probability that any student was born on weekend, P(W) = (2 / 7)
and, the probability that any student was not born on weekend
P(W') = {1 - P(W)}
= {1 - (2 / 7)}
= (5 / 7).
Thus, the probability that exactly two of the five students of the class were born on weekend
= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³
= 10 x {(2 / 7)²} * {(5 / 7)³}
= 10 x (4 / 49) x (125 / 343)
= (5000 / 16807)
≈ 0.2975
Learn more about probability here:
https://brainly.com/question/11234923
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PLZZ NO LINK IF U GET IT RIGHT I WILL GIVE U A BRIANLY
Answer:
B) f = (6 x 8) + 4
Step-by-step explanation:
Remember this: 1 cup = 8 fl oz
They're asking for the total number of fluid ounces of detergent, and we're given 6 cups and 4 fl oz.
Set up a proportion to find the total number of fl oz from the 6 cups, let variable x be the total oz of the 6 cups:
[tex]\frac{1 cup}{8 oz} = \frac{6 cups}{x oz}[/tex]
The answer should be 48 fl oz, then you add the 4 fl oz to have the total of 52 fl oz.
SORRY just wanted a full break down of the problem solved. I made it too complex than it's supposed to be. Hope my answer helps a bit. :)
Completing the table