Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.
Can he fit the TV in his room?
Answers
Answer:
No
Step-by-step explanation:
Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.
Solving for a we get a = [tex]\sqrt{c^2-b^2}[/tex]. Then plugging in the values for c and b, we get a = [tex]\sqrt{1024}[/tex] = 32
Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.
Answer:
No, the tv is 32 inches wide.
Step-by-step explanation:
[tex]a^{2} +b^{2} = c^{2} \\24^{2} +b^{2} =40^{2} \\40^{2} -24^{2} =b^{2} \\1600-576=b^{2} \\1024=b^{2} \\\sqrt{1024} =b\\b=32[/tex]
Related Questions
A cylinder has a base diameter of 20 meters and a height of 10 meters. What is its
volume in cubic meters, to the nearest tenths place?
Answers
V=pie r 2 h
3.14x10 2 x10
3.14x100x10
314x10
3140
The standard New York state license plate has three letters followed by four digits. How many different
license plates are possible if the digits can't be repeated and letters can be repeated?
a
1,560,000 possible license plates
175,760,000 possible license plates
88,583,040 possible license plates
90,283,340 possible license plates
с
d
Answers
Answer:
175,760,000 possible license plates
Step-by-step explanation:
There are 3 spots where there are 26 choices each
= 26 ^3
and 4 spots where there are 10 choices each (the digits 0 through 9,
= 10 ^4
This gives:
26^3*10^4=175,760,000
Hope this Helps...!!
Megan has a bag containing 5 pink marbles, 3 orange marbles, 6 green marbles, and 2 yellow marbles.
Megan started to develop a probability model. Here is the sample space.
S = {P, P, P, P, P, O, O, O, G, G, G, G, G, G, Y, Y}
Part A
put in order where it would go on the table 2/16, 3/16, 5/16, 6/16
Help Megan complete the model by assigning probabilities to the four listed events. Drag each fraction to the correct probability.
Part B
Suppose Megan drew a marble 80 times. Estimate how many times she should expect to draw an orange marble. Megan would draw an orange marble ____
times.
Answers
Step-by-step explanation:
To find the probability
Total marbles = 5 + 3 + 6 + 2 = 16
P pink = 5/ 16
P orange = 3/16
P green = 6/ 16 = 3/8
P yellow = 2/16 = 1/8
Part B when we divide 80 by 16 = 5
So she drew every marble 5 times
So 3 x 5 = 15
She drew the orange marble 15 times
will give 100 pts again.
Sari applied the distributive property using the greatest common factor to determine the expression that is equivalent to 84 + 40. Her work is shown below. Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 84 + 40 = 2(42 + 20) What statement best describes Sari’s error?
Answers
Answer: She did not use the factors in correct order therefore she is inncorrects
Step-by-step explanation: I got it right on edge
Answer:
Sari did not use the greatest common factor in the equation.
Step-by-step explanation:
Ms. Nellies has 2 1/2 pints of vinegar for her students to use in a science experiment. Each
group of students needs 3/8 pint of vinegar. Trey draws the number line model and writes the
equation below to help Ms. Nellies figure out how many 3/8-pint servings of vinegar she has.
Are Trey's number line model and equation correct?
Answers
Answer:
Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.
Answer:
incorrect
wrong equation 2 1/2 / 3/4
correct equation 2 1/2 / 3/8 = 6 2/3
6 groups of students.
Step-by-step explanation:
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
4x+9
Answers
Answer:
4x+9, 1st degree binomial
Step-by-step explanation:
It's already in standard form
Raffle tickets are being sold for a fundraiser. The function a(n) relates the
amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount
of money raised.
a(n) = 3n - 25
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?
Answers
Answer:
If the function is
A(n) = 4n -25
and we wish to get the inverse function N(a)
We let
A(n) = a
n = N(a)
Plugging in the values
a = 4 N(a) - 25
Arranging the equation:
4 N(a) = a + 25
N(a) = (a + 25) /4
The answer is
N(a) = (a + 25) /4
Step-by-step explanation:
The inverse function of a(n) = 3n - 15 is n(a) = 5 + a/3.
What is an inverse function?An inverse function exists a function that undoes the action of another function. A function g exists as the inverse of a function f if whenever
y = f(x) then x = g(y).
We have:
a(n) = 3n - 15
Rewrite the above equation as
a = 3n - 15
Add 15 to both sides of the equation
3n = 15 + a
Divide through by 3, we get
n = 5 + a/3
Express as function then, we get
n(a) = 5 + a/3
Hence, the inverse function is n(a) = 5 + a/3.
To learn more about inverse function
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PLS HELP I WILL MARK BRAINLIEST (EDITED) I ONLY HAVE 20 MORE MINS HELP
Step 2: Finding the area of triangles
a) The International Space Station has small cupboards that are used for storage. A cupboard door is drawn below.
a rectangle with a line going from the upper left corner to the down right corner. at the left corner, under the line is 60. under the right corner, is 30. there is a square at the down left corner
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work? (3 points)
Answers
Answer:
60 times 30 divided by 1/2
Step-by-step explanation:the formula will work because you will multiply to find the square amount of the square. Then divide by 2 to get back to the triangl. Hope it helps. Sry if it is wrong.
Find the value of the missing angle. Will mark brainliest.
Answers
Answer:
100
Step-by-step explanation:
Because adjacent angles in a parallelogram are supplementary, angle 1 and 80 must add up to 180 degrees. Therefore, angle 1 is 180-80=100 degrees. Hope this helps!
Answer:
100
Step-by-step explanation:
Hope this helped!
just help me plssssssssss
Answers
Answer:
The perimeter of triangle is 30ft.
Step-by-step explanation:
First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
Let b = 12,
Let c = 13,
[tex]a = \sqrt{ {13}^{2} - 12 {?}^{2} } [/tex]
[tex]a = \sqrt{25} [/tex]
[tex]a = 5feet[/tex]
Next you have to find the perimeter of triangle by adding all the sides together :
[tex]perimeter = 5 + 12 + 13[/tex]
[tex]perimeter = 30feet[/tex]
HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
the answr is option 4 or also known as b
Step-by-step explanation:
When using an equivalent fraction to find the percent , why do u write 100 as the denominator?
Answers
Answer:
This is because It is easy to convert a fraction to a percent when the denominator is 100. If a fraction does not have a denominator of 100, you can convert it to an equivalent fraction with a denominator of 100, and then write the equivalent fraction as a percent.
Step-by-step explanation:
Find the equation of the circle that is shifted 5 units to the left and 2 units down from the circle with the equation x² + y2 = 19.
A. (x - 5)2 + (x - 2)2 = V1
B. (x + 5)2 + (x - 2)2 = 19
C. (x + 2)2 ++5)= 19
D. (+52 + (y + 2)2 = 19
Answers
Hope this helps
Daryl performs an experiment where he rolls a number cube 25 times and records the results. Three of the trials
resorted in a 1 being rolled. What can be said about the experimental and theoretical probability of rolling a one?
A. The experimental probability is greater than the theoretical probability.
B. The theoretical probability is greater than the experimental probability.
C The theoretical probability is equal to the experimental probability.
D. Nothing can be said to relate the two, because the number of trials was too small
Answers
Answer: it’s B
Step-by-step explanation:
I just took the test
evaluate this expression:
(1/5 x 5) ^5
Answers
Answer:
The answer is x ^5
Find the 91st term of the arithmetic sequence 5, -14, -33, ...
Answers
Answer:
a(91) = -1705
Step-by-step explanation:
Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).
Thus, the 91st term is a(91) = 5 - 19(91 - 1), or
a(91) = 5 - 1710, or
a(91) = -1705
The 91st term of the arithmetic sequence is -1705.
What is Arithmetic progression?An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.
Given that an arithmetic sequence 5, -14, -33, ...
nth term of an AP is, a(n) = a + (n-1)d
Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).
Thus, the 91st term is
a(91) = 5 - 19(91 - 1)
a(91) = 5 - 1710
a(91) = -1705
Hence, The 91st term of the arithmetic sequence is -1705.
For more references on arithmetic sequence, click;
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Given data set:
6, 2, 7, 12, 6, 1, 7, 1, 9, 7, 8
Find the mean, median, and mode of the data set.
Answers
Answer:
see below
Step-by-step explanation:
6, 2, 7, 12, 6, 1, 7, 1, 9, 7, 8
First put the numbers in order from smallest to largest
1,1, 2,6,6, 7, 7, 7, 8, 9, 12
The mean is adding all the numbers and dividing by the number of numbers
( 1+1+ 2+6+6+ 7+ 7+ 7+ 8+ 9+ 12 )/11
66/1 =6
The mean is 6
The median is the middle
There are 11 terms
11/5 = 5.5 so 6 is the middle number
1,1, 2,6,6, 7, 7, 7, 8, 9, 12
7 is the median
Mode is the most often
7 appears three times so it is the mode
11. Dr. Lamb is mixing a solution for his next patient. He has a cylindrical beaker
which is 4 inches across on the inside. The depth of the beaker is 9 inches. If 1
cubic inch of space holds 16.38 milliliters of water, about how many milliliters of
water will the beaker hold?
Answers
Answer:
34.35 liters
Step-by-step explanation:
someone help ples alk i need is the first two pleassss
Answers
x values: 5, 10, 15, 20, 25
y values: 7, 14, 21, 28, 35
Answer:
x values: 5, 10, 15, 20, 25
y values: 7, 14, 21, 28, 35
Step-by-step explanation:
Will mark brainliest.
Answers
Answer:
23.6
20characyersnx xmxm
Step-by-step explanation:
Area=bh=5.9*4=23.6in.²
Lines AB and CD are parallel. If 2 measures (3x - 33)°, and 4 measures 147°, what is the value of x?
Answers
Step by step:
189-147=33
33+33=66
66/3=22
Suppose f(x) = x2. What is the graph of g(x)= 1/3f(x)
Answers
Answer:
Step-by-step explanation:
The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).
The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.
The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)
What is the graph of a function?"The graph of a function f is the set of all points in the plane of the form (x, f(x))."
For given example,
f(x) = x²
The graph of a function f(x) would be a parabola with vertex at origin (0, 0).
And g(x) = 1/3 f(x)
⇒ g(x) = 1/3 (x²)
We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.
Since for a parabola g(x) the quadratic coefficient is 1/3.
This means the parabola g(x) is wider than the parabola f(x)
So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.
The graph of g(x) is parabola (as shown in following figure)
Learn more about the graph of the function here:
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Write an equation of the line that passes through (−1, 3) and is perpendicular to the line y=1/9x−1.
Answers
Answer:
Step-by-step explanation:
General equation of line
y = mx + c
m is slope
y = (1/9)x - 1
1/9 is slope
Since the other line that passes through the point is perpendicular, the product of both slopes is -1
1/9 * m = -1
m = -9
Using point-slope method
y-y1 = m(x-x1)
y-3 = -9(x-(-1))
y-3 = -9(x + 1)
y-3 = -9x -9
y = -9x-6
please help , 20 points
Answers
Answer:
C
Step-by-step explanation:
10% as a decimal is .10, or .1. This has to be added to the original wage, 1 (100%) so its 1.1
What’s this answer?
Answers
Answer:
x=2, y=1
Step-by-step explanation:
The left and right sides are equal
7x-2 = 5x+2
Subtract 5x from each side
7x -5x-2 = 5x-5x+2
2x-2 = 2
Add 2 to each side
2x -2+2 = 2+2
2x = 4
Divide by 2
2x/2 = 4/2
x =2
The top and the bottom are the same length
6x+y = 7x-1
6(2) +y = 7(2)-1
12 +y = 14-1
Subtract 12 from each side
12 +y-12 = 13-12
y = 1
Find the volume of the rectangular prism
A) 19 in3
B) 57 in3
C) 144 in3
D) 288 in3
Answers
Answer:
C) 144 in3
Step-by-step explanation:
Area of rectangular prism = lwh
8*9*2 = 144
Virtual Nerd™: How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?
Answers
Answer:
We use tree diagram by connecting relevant samples
Step-by-step explanation:
thats all
In the middle of a basketball court, the circle has a diameter of 5 feet. If
Mrs. Gilbertson's daughter walked around the circle 12 times, how far did
she walk? Use 3.14 for TT. *
Answers
Answer:
The distance that Mrs. Gilbertson's daughter walked was 188.4 feet
Step-by-step explanation:
Here we have that Mrs. Gilbertson's daughter walked round the circle 12 times where the diameter of the circle = 5 ft., therefore, the circumference of the circle, the distance walked round each of the 12 times = π·D
Where:
D = 5 ft
Hence, circumference = π × 5 = 3.14 × 5 = 15.7 ft
Therefore, by walking round the circle 12 times, the total distance that Mrs. Gilbertson's daughter walked = 12 × 15.7 = 188.4 ft.
A batter hits a fly ball. a scout in the stands makes the following observations. TIME (SECONDS) .75 1.5 2 2.75 3.25 4.75 HEIGHT (FEET) 77 133 160 187 194 169 What type of function that best models this data. use a graphing calculator to perform the regression for the best fit equation. write the resulting equation below, rounding to the nearest hundredth. determine the initial velocity of the baseball and the height of the ball when hit. round to the nearest hundredth. calculate how many seconds an outfielder has to position himself for the catch if he intends to catch the ball 6 feet above the ground. show your work and round to the nearest hundredth.
Answers
Answer:
y = -15.9x² + 110.48x + 3.02
initial velocity: 110.48 ft/s
initial height: 3.02 ft
time to cath the ball at 6 ft: 6.92
Step-by-step explanation:
In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)
The initial velocity is the second coefficient.
The initial height is the third coefficient.
Replacing y = 6 into the equation and solving with the quadratic formula:
6 = -15.9x² + 110.48x + 3.02
0 = -15.9x² + 110.48x + 3.02 - 6
0 = -15.9x² + 110.48x - 2.98
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]
[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]
[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]
[tex]x_1 = 0.03[/tex]
[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]
[tex]x_2 = 6.92[/tex]
In the context of the problem, only x2 has sense.
In the diagram shown, 4 24, and 22 = 23. The sum of the measures of the four
angles is 120°. The measure of 22 is 10° less than the measure of 4. What is the
combined measure of angles 1, 2 and 3?
A. 85°
B. 95°
C. 105
D. 115°
