Answer:
32.5 square feet
Step-by-step explanation:
Area of a trapezoid
1/2 x (a + b) x ha and b = length of parallel sidesh = heightSolving
Here : a = 5, b = 8, and h = 5Area = 1/2 x (5 + 8) x 5Area = 1/2 x 13 x 5Area = 65/2Area = 32.5 square feetAnswer:
32.5 square feet
Step-by-step explanation:
here we just find the area of both shapes within the trapezoid and add them, let's start with the triangle,
formula for the area of a triangle is 0.5 × base × height
therefore,
the area of the triangle is 7.5
the area of a square is equal to the length of the side squared.
5^2 = 25
the sum of 25 + 7.5 = 32.5
final answer is 32.5 square feet
if you need any further guidance make sure to ask:)
HELP ME!!!!!!
The data represents the yearly salary, in thousands of dollars, for 9 managers.
{68, 54, 104, 183, 72, 84, 75, 108, 71}
What is the five-number summary?
A. Minimum = 54Q1= 69.5Median = 75Q3= 106Maximum = 183
B. Minimum = 54Q1= 72Median = 74.5Q3= 104Maximum = 183
C. Minimum = 54Q1= 71Median = 74.5Q3= 108Maximum = 183
D. Minimum = 54Q1= 70Median = 74.5Q3= 106Maximum = 183
Answer:
A. Minimum = 54, Q1= 69.5, Median = 75, Q3= 106, Maximum = 183
Step-by-step explanation:
Arranging the data set in order from least to greastest we get:
54, 68, 71, 72, 75, 84, 104, 108, 183
From this, we can see that the minimum value is 54 and the maximum value is 183.
Taking a number off one by one on each side of the data set gives the median. In the middle lies 75, so that is our median
To find quartile ranges, split the data set into two where the median lies, then, find the median of those two data sets. The medians will be the values of the upper (Q3) and lower quartiles (Q1).
Q1: 54, 68, 71, 72
68 + 71 = 139
139 ÷ 2 = 69.5
-----
Q3: 84, 104, 108, 183
104 + 108 = 212
212 ÷ 2 = 106
Option A is the only answer with all of these values, therefore, it is the answer.
hope this helps!
help quick!
Jennifer is collecting cans of food for a food drive at her school. On
week one, she collected 4 cans. On week two she had 5 cans. By
week five, she had 8 cans. How many cans will she have collected by
week twelve?
Answer:
make me brainliest pls hope it helps :)
Step-by-step explanation:
week 1 = 1+3=4
week 2= 2+3=5
week 5=8+3=11
11 cans
The previous monthly balance on Barneys Laurents charge card is $144.79. He made a payment of $144.79 and had charges of $125.22, $23.22, and $33.65. There is no finance charge.
PLEASE HELP!!!
WILL MARK BRAINLIEST
Answer:
$182.09
Step-by-step explanation:
Add
$125.22 + $23.22 + $33.65
= $182.09
If Deb cleans a 9100 square foot building for a total of $306.00, what is the amount Deb gets paid for a building half that size? (Hint: You will need to calculate the square footage of the building before you set up the ratio.)
A. 4550
B. 153
C. 306
D. 4397
Answer:
Answer choice B: 153
Step-by-step explanation:
Find the measurement of the missing angle of this quadrilateral.
Answer:
x= 81°
Step-by-step explanation:
the interior angles of a quadrilaterial add up to 360°
143+80+56+x=360
condense left side: 279+x=360
isolate x: 279-279+x=360-279
x= 81°
Please help. Will mark brainlyest!
A sequence is defined by an = -5+ (n - 1) 14, where n is a positive integer. What is the value of 410?
The sequence an = -5 + (n - 1)14 is an arithmetic sequence
The value of a10 is 121
How to determine the the a10-th term?The sequence is given as:
an = -5 + (n - 1)14
To calculate the value of a10, we set n = 10
So, we have:
a10 = -5 + (10 - 1) * 14
Evaluate the difference
a10 = -5 + 9 * 14
Evaluate the product
a10 = -5 + 126
Evaluate the sum
a10 = 121
Hence, the value of a10 is 121
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6
Mr. Jones determined that the equation y = 98 - 15 x could be used to predict his
students' unit test scores, based on the number of days, x, a student was absent
during the unit. What is the meaning of the y-intercept of the function?
A. A student who was not absent during the unit should score about 98.
B. A student who was not absent during the unit should score about 94.5.
C. A student's test score should increase by about 3.2 points for each day the
student is absent.
D. A student's test score should decrease by about 3.2 points for each day the
student is absent.
Systolic blood pressure for a group of women is normally distributed, with a mean of 121 and a standard deviation of 9. Find the probability that a woman selected at random has the following blood pressures. (Round your answers to four decimal places.) (a) greater than 136 (b) less than 114 (c) between 114 and 128
the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.
What is a Z-table?A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.
Given the mean is 121 while the standard deviation of the women is 9. Therefore, Using the z-table, the probability can be found.
(a) The probability that a woman selected at random has blood pressures greater than 136.
[tex]P(x > 136) = 1 - P(x < 136)\\\\P(x > 136) = 1 - P(z < \dfrac{x-\mu}{\sigma})[/tex]
[tex]=1 - P(z < \dfrac{136-121}{9})\\\\=1 - P(z < 1.667)\\\\=1-0.9515\\\\=0.0485[/tex]
(b) The probability that a woman selected at random has a blood pressure less than 114.
[tex]P(x < 114)= P(z < \dfrac{114-121}{9})\\\\[/tex]
[tex]= P(z < -0.77)\\\\= 0.2206[/tex]
(c) The probability that a woman selected at random has a blood pressure between 114 and 128.
[tex]P(114 < x < 128)= P(\dfrac{114-121}{9} < z < \dfrac{128-121}{9})\\\\[/tex]
[tex]= P(-0.77 < z < 0.77)\\\\= P(z < 0.77)-P(z < -0.77)\\\\= 0.7794 - 0.2206\\\\=0.5588[/tex]
Hence, the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.
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which transformation of y = f(x) moves the graph 9 units to the left and 5 units down
Answer:
y=f(x+9)-5
Step-by-step explanation:
to move the graph 9 units to the left, you would need to add 9 to the variable (which is x) - so that transformation for y=f(x) would look like this:
y=f(x+9)
then, to move the graph 5 units down, you would need to subtract 5 from f(x), so the transformation for y=f(x) that moves the graph 5 units down would be:
y=f(x)-5
now, you would put that all together and it would look like this:
y = f (x+9) -5
i hope this helps.
Which of the following are factors of 6x^2+30x-36? Select all that apply.
Answer choices:
1. X-1
2. X+2
3. 2
4. 3
5. X+6
6. X-6
7. X-2
Answer:
Step-by-step explanation:
What is the answer ?
Answer:
The answer for Q35 is : 176 cubic feet
Step-by-step explanation:
V = 16×3×2+16×5
= 96 + 80
= 176 cubic feet
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Problem
The following shape has 111 pair of parallel sides.
What is the area of the shape?
Answer:
56
Step-by-step explanation:
First I would get the area of the entire figure as if it were a Rectangle
10x7 = 70 Area if the figure was a rectangle.
We can form a triangle with the cut out space, the height of the triangle is 10-6 which is 4 and has a base of 7.
7x4= 28
28/2 = 14 Area of triangle cutout
Now you subtract the two figures
70-14= 56
56 Is the area
The area of the given shape is 56 square units.
What is an area?The quantity of space within a two-dimensional figure or form is measured by its area. It is a number that describes the size or extent of a surface, like the surface of a flat plane or the contours of an area on a map.
First I would get the area of the entire figure as if it were a Rectangle
10x7 = 70 Area if the figure was a rectangle.
Form a triangle with the cutout space, the height of the triangle is 10-6 which is 4, and has a base of 7.
7 x 4= 28
28/2 = 14 Area of triangle cutout
Now you subtract the two figures
70-14= 56 Square units
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OMG NEED HELP ASAP!!!
Answer:
Graph A
Step-by-step explanation:
the equations is y = 3x/4 - 3
the slope is 3/4
the y intercept is -3
and the x intercept is:
3x/4 - 3 = 0
3x/4 = 3
x = 4
Graph A matches the equation.
What is the probability that a five-card poker hand contains exactly one ace?.
The probability of selecting exactly one ace is its likelihood
The probability that a five-card poker hand contains exactly one ace is 29.95%
How to determine the probability?There are 4 aces in a standard deck of 52 cards.
The probability of selecting an ace would be:
p = 4/52
Also, there are 48 non-ace cards in the standard deck
So, the probability of selecting a non-ace after an ace has been selected is:
p = 48/51
The probability of selecting a non-ace up to the fifth selection are:
After two cards have been selected is: 47/50.After three cards have been selected is: 46/49.After four cards have been selected is: 45/48.The required probability is then calculated as:
P(1 Ace) = n * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)
Where n is the number of cards i.e. 5
So, we have:
P(1 Ace) = 5 * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)
Evaluate
P(1 Ace) = 0.2995
Express as percentage
P(1 Ace) = 29.95%
Hence, the probability that a five-card poker hand contains exactly one ace is 29.95%
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Graph the system of equations below on a piece of paper. What is the solution? TW y=x-1 y=-2x+5
A system of equations
y= x-1y= -2x+5To find↷The solution to the system of equationsAnswer↷(2,1)Solution↷y = x -1 _ _ _ _ _ _(1)
y=-2x+5_ _ _ _ _ _(2)
subtracting equation 2 from equation 1,we get,
x -1 = y
-(-2x +5 = y)
__________
3x -6 = 0
3x = 6
x = 6/3
x = 2
___________
Plugging the value of x in equation 1,y= 2-1
y= 1
hence, the solution of this system of equation is (2,1)We will solve this through graphical way
Graph both equations
Solution is
(2,1)Graph attached
please solve the given problem
Find the value of x and y
If
5x-2y=0
5x+10y=100
Answer:
The answer is given in the picture
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:
x = 10/3 , y = 25/3
Step-by-step explanation:
Let's solve your system by substitution.
5x−2y=0 ; 5x+10y=100
Step 1: Solve 5x−2y=0 for x:
5x−2y=0
5x−2y+2y=0+2y (Add 2y to both sides)
5x=2y
5x=2y
5x/5=2y/5 (Divide both sides by 5)
x=2y/5 (Simplify)
Step 2: Substitute 2y/5 for x in 5x+10y=100:
5x+10y=100
5 2/5y +10y=100
12y=100 (Simplify both sides of the equation)
12y/12=100/12 (Divide both sides by 12)
y=25/3
Step 3: Substitute 25/3 for y in x=2/5y
x=2/5y
x=2/5 * 25/3
x=10/3 (Simplify both sides of the equation)
At the end we have the following answers :
x = 10/3
y = 25/3
Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=4/3x
Answer:
Step-by-step explanation:
The a line that is perpendicular to the reference line will have a slope that is the negative inverse of the slope of the reference line. We'll look for a line that has the form y=mx+b, where m is the slope and b is the y-intercept. The reference line y=(4/3)x has a slope of (4/3) and a y-intercept of 0 (it crosses the y axis at x = 0).
The negative inverse the the slope (4/3) would be -(3/4).
The new line will be y = -(3/4)x + b.
To find point, use the given point and solve for b:
y = -(3/4)x + b
y = -(3/4)x + b for point (4,2)
2= -(3/4)(4) + b
2= -3 + b
b = 5
The equation of the perpendicualr line is y = -(3/4)x + 5
See attached graph.
what is 339.12 rounded to the nearest hundreth
Answer:
339.12 rounded to the nearest hundreth is 339
Because the hundreth place right now is 1 so anything below five keep the same
Please consider brainliest <3
Step-by-step explanation:
Answer: 339.10
Step-by-step explanation: The value of 2 is the hundredth and it is rounded up to 0
what is the simplest way to explain how to do this?
Answer:
96
Step-by-step explanation:
area of a triangle = h x b/2 which means ill do
8 x 8 = 64
then 64/2
32
8x8 (again) = 64
64+32 = 96
Answer:
96 in^2. Find the area of the square, then the area of the triangle. After that, add them together.
Step-by-step explanation:
First, let's find the area of the square:
A = lw
A = 8 x 8
A = 64
Now, let's find the area of the triangle.
A = 1/2lh
A = 1/2(8)(8)
A = 1/2(64)
A = 32
Now, all we have to do is add 64 and 32 to get the total area
64 + 32 = 96
What is the probability of rolling numbers that add to 8 when rolling two standard number cubes? Use the chart to help you solve the problem
A 7/36
B 5/36
C 11/26
D 1/6
Answer:
It's 3/18 becasue in total there are 18 choices but only 3 add up to 8
Carla served her mango pie on a 14 inches diameter dish. She wanted to tie a ribbon around the dish to make it a little more attractive. How long does the ribbon need to be in order to fit around the dish?
By finding the circumference of the plate, we conclude that the ribbon must be 43.96 in long.
How long does the ribbon need to be?
Remember that for a circle of radius R, the circumference is:
C = 2*pi*R
In this case, the ribbon must be equally long to the circumference of the plate. We know that the diameter of the plate is 14 inches, and the radius is half of that, then we get:
R = 14in/2 = 7in
Replacing that on the circumference equation we get:
C = 2*3.14*7in = 43.96 in
The ribbon must be 43.96 in long.
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The lengths of the sides of triangle XYZ are written in
terms of the variable m, where m 2 6.
Which is correct regarding the angles of the triangle?
Omzx <'
mzz
Х
m +8
OmZY
m-3
OmZY
2m + 3
Omzz
Z
Answer:
its the 3rd one i think but don't trust me cuz ion know
The correct regarding the angles of the triangles are,
⇒ m ∠Y < m ∠Z < m ∠X
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Since, Given that;
m ≥ 6, we will substitute 6 in for m.
This makes;
XZ = m-3 = 6-3 = 3.
XY = m+8 = 6+8 = 14.
YZ = 2(6)+3 = 12+3 = 15.
Hence, This makes the sides, in order from least to greatest as;
XZ < XY < YZ.
Thus, The angles associated with these are opposite their corresponding sides; XZ corresponds with Y; XY corresponds with Z; and YZ corresponds with X.
This means correct regarding the angles of the triangles are,
⇒ m ∠Y < m ∠Z < m ∠X
Thus, The correct regarding the angles of the triangles are,
⇒ m ∠Y < m ∠Z < m ∠X
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Paula bicycled for 20 minutes and covered 5 miles. What is her speed in miles per hour?
What is the area of the trapezoid at the right
Answer:
144
Step-by-step explanation:
8•6 because two triangles make a square and they are the same size, so there is no need to divide by half
then 8•12 for the square in the middle
Write the correct ratio (fraction) for each triangle.
Answer:
21/20
20/29
21/20
20/29
21/29
20/21
Step-by-step explanation:
Use Soh Cah Toa for each, using the right equation for the right angle
e.g for sin(z) we use the opposite/adjacent for that angle
the hypotenuse is the biggest sizethe opposite is the side opposite to the angle you are usingthe adjacent is the other sideThe area of the base of a cone is 36π square centimeters. The height of the cone is 20 centimeters. What is the closest to the volume of the cone?
A.740 cm ³
B.750 cm ³
C.800 cm ³
D.775 cm ³
Answer:
the answer is d because i have dont it b4
Step-by-step explanation:
Use the rule y = -2x + 5 to answer the questions below.
a. What is the slope of the line?
Answer:
-2
Step-by-step explanation:
Slope-intercept form: y = mx + b, in which:
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
~
Note the numbers that replace the given variables:
y = mx + b ; y = -2x + 5
y = y
m = slope = -2
x = x
b = y-intercept = 5
-2 is your answer for slope.
~
Answer:
The slope is -2.
Step-by-step explanation:
I hope this helps! :)
The formula is y=mx+b, where m (in the place of -2) is the slope.
5. F-LE.1.2
Two terms from a sequence are two terms from a sequence are shown in
the table below. Which formula does not
generate these terms?
A, an = 2n
B. an = 2(n-1) + 2
C. An=2"
D. an = 2n-1 + 2
Answer:
A, an = 2n. B. an = 2(n-
Step-by-step explanation:
can you brainlist me
find the product 867 and 49
Answer:
42483
Step-by-step explanation:
867*49 = 42483