Answer:
43.43 degrees
Step-by-step explanation:
This is a right triangle with the opposite LEG = 11 km and the hypotenuse = 16 km
sin (angle) = opposite/hypotenuse
= 11/16
arc sin (11/16) = angle = 43.43 degrees
In 2005, there were 12,000 students at Beachon High. In 2010, there were 12,250. What is the rate of change un the number of students
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
so in this case we have the provided ones (2005 , 12000) and (2010 , 12250)
[tex](\stackrel{x_1}{2005}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2010}~,~\stackrel{y_2}{12250}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12250}-\stackrel{y1}{12000}}}{\underset{run} {\underset{x_2}{2010}-\underset{x_1}{2005}}} \implies \cfrac{12250 -12000}{2010 -2005}\implies \cfrac{250}{5}\implies \underset{\textit{rate of change}}{50}[/tex]
Which of the following statements are true of the hypotenuse of a right triangle?
Its length is the sum of the lengths of the other two sides.
It is one of the legs.
It is the longest side of a right triangle.
It is opposite the right angle.
It forms a right angle with an adjacent side.
Answer:
It is the longest side of a right triangle.
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 57 feet, and the length of the other base is 52 feet. The height is 18 feet. What is the area of this section of the deck?
Answer:
Area of section is 981 square feetStep-by-step explanation:
Given trapezoid with:Bases 57 feet and 52 feet;Height 18 feet.To findArea of trapezoidSolution
Equation of area:
A = (b₁ + b₂)h/2Substitute values and calculate:
A = (57 + 52)*18/2 = 109*9 = 981 ft²HELP!!! 100 PNTS+BRANLIEST TO QUICK AND CORRECT ANSWER!!!!!!!!
In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below. Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot. Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.
The attached figure represents the box and whisker plots
How to create a box and whisker plot?To do this, we start by converting the tallies in the frequency table to numerical values.
So, we have:
Monday Tuesday Wednesday Thursday Friday
On Time 6 3 2 10 10
Late 1 0 3 4 10
Next, we enter these data on a graphing/statistical calculator to create the box and whisker plots
See attachment
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Twice a number x increased by 32 is translated to 2x+32
Answer:
If you are asking if that's correct then yes it is
Step-by-step explanation:
A debate team consists of five freshmen and four sophomores. (Everyone is distinguishable.) How many ways can they stand in line, so that at least two of the freshmen are standing next to each other
Using the arrangements formula, it is found that they can stand in the line in 80,640 ways.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, we have that:
The 2 freshmen are in 2! positions, in any of the 8 positions from 1 to 8.The other 7 students are arranged in 7! positions.Hence the number of ways in which they can be lined up is given by:
N = 2! x 8 x 7! = 80,640.
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Grayson measured a line to be 10.9 inches long. If the actual length of the line is 13.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
The percent error of the measurement, to the nearest tenth of a percent is 18.6%
Calculating percent errorThe formula for calculating the percent error is expressed as:
%error = actual - measure/actual * 100
Given the following
actual length = 13.4 in
Measured =10.9in
Substitute
%error = 13.4-10.9/13.4 * 100
%error = 2.5/13.4 * 100
%error = 18.65%
Hence the percent error of the measurement, to the nearest tenth of a percent is 18.6%
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Find the diameter of a sphere with a surface area of 196π square centimeters
[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ SA=196\pi \end{cases}\implies \begin{array}{llll} 196\pi =4\pi r^2\implies \cfrac{196\pi }{4\pi }=r^2 \implies 49=r^2 \\\\\\ \sqrt{49}=r\implies 7=r~\hfill \underset{diameter}{\stackrel{2(7)}{14}} \end{array}[/tex]
You flip a fair coin 25 times in the air. what is the relative frequency with which the coin will land on tails 12 of those times?
For the given experiment, the relative frequency of getting tails is:
R = (12/25)*100% =48%
How to get the relative frequency?
If we perform an experiment N times, and out of these N times, K times we get a given outcome (Where K is a number equal to or smaller than N).
The relative frequency of that particular outcome is given by the quotient between the number of times that we got that outcome and the total number of times that the experiment was performed.
In this case, the experiment is performed 25 times, and 12 times we get tails, then the relative frequency for getting tails is:
R = 12/25
If we want to write it in percentage form, then we get:
R = (12/25)*100% =48%
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Find the measure of angle x. Round your answer to the nearest hundredth
Can i have some help Please! (Brainliest As Well if it lets me) Pick question 16 or 17 to answer i only have to do one Be specific in your comparisons - think about K (dilation scale factor) and how K changed for circumference versus area. You will need to look up the formula for surface area of a sphere.
For problem 17, if you double the diameter of the moon, then the surface increases by a factor of 4 and the volume by a factor of 8.
How to compare the change in surface and volume?
Let's answer question 17.
Remember that for a sphere of radius R, the volume is:
[tex]V = (4/3)*pi*R^3[/tex]
And the surface area is:
[tex]S = 4*pi*R^2[/tex]
So the volume depends on the cube of the radius and the surface on the square of the radius.
Now, if we double the diameter of the moon, then we also double the radius.
So the new volume will be:
[tex]V' = (4/3)*pi*(2*R)^3 = 8*[(4/3)*pi*R^3] = 8*V[/tex]
The new volume is 8 times the original volume.
And for the surface:
[tex]S' = 4*pi*(2*R)^2 = 4*[4*pi*R^2] = 4*S[/tex]
So the new surface is 4 times the original surface.
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The odds of an event happening are
What are the odds against the event happening?
Answer:
The odds of an event happening depend on the situation so it is really difficult to tell what the odds would be.
Step-by-step explanation:
After deducting 10% provident fund a married person draws Rs 40,500 salary per month and one month's salary as festival bonus, the person pays Rs 14,500 annually as the premium of his/her insurance. Calculate the annual income tax paid by the person.
Need correct answer
The annual income tax paid by the person is: $4,500.
Annual income taxUsing this formula
Annual income tax=[Salary÷(1-percentage deduction)]- Salary
Let plug in the formula
Annual income tax=[40,500÷(1-10%)]-40,500
Annual income tax=45,000-40,500
Annual income tax=4500
Therefore the annual income tax paid by the person is: $4,500.
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Question content area top
Part 1
Darcy gave her nail technician a $5.10 tip. The tip was 15% of the cost of the manicure. Write an equation to find b, the cost of the manicure
Answer:
Let b the cost of the manicure
15% of b= 5.10$
15% × b= 5.10$
b= 5.10×100/15
b= 34$
Esperanza buys a new toy for $10.50 plus 4% tax. Then she buys new shoes for $28 plus 6% tax. Enter the sum that Esperanza paid, including tax.'
Answer:
$40.60
Step-by-step explanation:
10.50+4%=10.92
28+6%=29.68
10.92+29.68=40.60
help please ! will give brainle <3
Answer:
55 percent
Step-by-step explanation:
simply add all the teams you get a 1.00 turned to percent its a 100 percent probability
then simply add the team 6 7 and 8 you get .45 turned into percent is 45 percent
them subtract 100-45 you get 55 percent that a team not from River City will win
Select the correct answer from the drop-down menu.
A classroom monitors chicken eggs in various temperatures. The table shows the class's recorded results. Using the data in the table, a conclusion is made by calculating probabilities related to a randomly selected egg.
Cool Room Temperature Warm Total
Hatched 5 16 21 42
Unhatched 18 10 4 32
Total 23 26 25 4
Based on the information, which statement about the eggs is correct?
Given the egg has
hatched
, the egg was kept warmer than room temperature.
Solve the equation
5x+6=2(2x - 3)
X=
Answer:
[tex] x = - 12[/tex]
Step-by-step explanation:
[tex]5x + 6 = 2(2x - 3) \\ 5x + 6 = 4x - 6 \\ 5x - 4x = - 6 - 6 \\ x = - 12[/tex]
2. Which statement is false about the relationship of the sides in the triangle shown in the picture below?
x=3
none of these are false.
x=1
x=7
Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.
What is the Triangle Inequality Theorem?The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.
Applying the triangle inequality theorem, it means the following should be true for any value of x given:
x + 2 + x + 3 > 3x - 2
2x + 5 > 3x - 2
Plug in x = 3 to find out:
2(3) + 5 > 3(3) - 2
11 > 4 (True)
Plug in x = 1 to find out:
2(1) + 5 > 3(1) - 2
8 > 2 (True)
Plug in x = 7 to find out:
2(7) + 5 > 3(7) - 2
19 > 19 (FALSE)
Therefore, the false statement is: D. x = 7.
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find the value of x to the tenths place
Answer:
x = 15
[x = 15.0]
Step-by-step explanation:
we can find the length of the hypotenuse of a right triangle using the Pythagorean theorem
[note: "c" is what they are referring to as "x" here]
a² + b² = c²
a : 12
b : 9
[c = hypotenuse/x/unknown side]
12² + 9² = c²
144 + 81 = c²
225 = c²
√225 = √c²
15 = c
{x = 15.0}
GUYSS PLSS I NEED HELP ON ALL OF THEMM PLSSS
Answer:
acute triangle
Step-by-step explanation:
4 6 7 - Acute scalene triangle, area = 11.98
To counteract race-related violence, the fourteenth amendment was ratified to give african american men the right to vote. grant citizenship to african americans. establish military control of the south. make white supremacy groups illegal.
To counteract race-related violence, the 14 th amendment was ratified to grant citizenship to African Americans. Thus, option B is correct.
What is the fourteenth amendment?The main purpose of the 14th Amendment is to guarantee and protect the citizenship and rights of African Americans.
The 14th Amendment was ratified in 1868, and it granted citizenship to all the people that born or naturalized in the United States.
This was a particularly significant development for former slaves.
This is to give them equal protection from the laws.
To counteract race-related violence, the 14 th amendment was ratified to grant citizenship to African Americans. Thus, option B is correct.
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Alice weighs 20 dogs and 20 cats. The mean weight for the dogs is 32kg and the mean weight for cats is 4kg. The range in weight for dogs is 45kg and the range in weight for cats is 0.5kg. State two conclusions you can draw from this information.
PLEASE HELP
Answer:
1. Dogs are generally heavier than the cats.
2. The dogs have a much larger variety in their weights and size than cats.
Step-by-step explanation:
Which statements are true about the graph of function f? f(x)=logx
The true statement about is the graph has a range of {y|-∞ < y < ∞} and decreases as x approaches 0.
What is a logarithm function?A logarithm function is a type of function that represents the inverse of an exponential function. Mathematically, a logarithmic function is written as [tex]y =log_ax[/tex].
The domain of the given logarithm function f(x) = logx is (x > 0) and its graph wouldn't touch the vertical axis but moves to the right.
Also, the logarithmic function increases as the value of x increases. Thus, this function would decrease when x approaches zero (0).
In conclusion, we can deduce that the range of this function is -∞ < y < ∞.
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Answer:
domain:
c. The graph has a domain of {x|0<x<∞} and approaches 0 as x decreases.
and pretty sure the range is:
b. The graph has a range of {y|-∞<y<∞}and decreases as x approaches 0.
because all real numbers
Step-by-step explanation:
hope this helped
Solve for x:
-(x + 2.1) = -4.8 -0.9(-10x + 5) + 10x
Answer:
the answer is x=0.36. (-20x=-7.2) divided by -20 equals to x=.36
Find A and B if Cos(A - B) = (sqrt(3))/2 ; Sin(A + B) = 1
What is the solution to x² - 11x + 24 = 0
Answer:
(x - 8)(x - 3)=0
x - 8=0 or x - 3=0
x =8 x =3
if the point D (8, -5) is reflected over the x-axis, the coordinates of D’ would be
The image of the point after the reflection across the x-axis is (8,5)
How to determine the image of the point?The point is given as:
D = (8,-5)
The rule of reflection across the x-axis is:
(x,y) -> (x,-y)
So, we have:
D' = (8,5)
Hence, the image of the point after the reflection across the x-axis is (8,5)
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helppp plssss find the perimeter of the polygon all segments that appear to be tangent are tangent to the circle
answer : 70.6
steps :
I attached a picture
you see 9.6?
it's also 9.6 on the side that is 17.2
if you look at the picture I attached you'll know what I mean
on the side that is 15.7 it's
15.7 - 9.6 =
6.1 on the other part of the side that is 15.7
that means it's
6.1 on a part of the side that doesn't have a measurement
on the side that 17.2 it's
17.2 - 9.6 =
7.6 on the other side
that means it's also
7.6 on the side that's 19.6
19.6 - 7.6 = 12.0 on the side that's 19.6 so it's also
12.0 partly on the uncensored side
on the side that doesn't have a measurement it's
12.0 + 6.1 = 18.1
so
all sides are :
19.6+17.2+15.7+18.1=
70.6 <- which is the answer
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Points X and Y lie on (circle)P so that PX = 5 meters and mXPY = 90. Find the length of XY to the nearest hundredth.
(there is no picture)
answer choices: 15.71 m, 3.93 m, 7.85 m, 19.63 m
Step-by-step explanation:
all that means is that the radius is 5 meters, and that we are looking for the length of the circle arc that represents 90° of the whole circle (360°).
90/360 = 1/4
so, we need 1/4 of the circle circumference :
2×pi×r × 1/4 = 2×pi×5 × 1/4 = pi×10/4 = pi × 5/2 =
= 7.853981634... m
therefore, the third answer is correct.