the area of the trapezoid is 64
90+31.5x2 = 153
153 units squared is the area of the trapezoid.
I would like some help please
Two mathematically similar cylinders are shown .
The volume of the smaller cylinder is 50 cm3 Calculate the volume of the larger cylinder.
Answer:
400
Step-by-step explanation:
scale factor is 2
so you cube the 2 to get 8
50 times 8 = 400
Find the probability distribution for the following function: P(x) = x/10 for x = 3, 5, and 7
Answer:
3/10. 1/2 and 7/10
Step-by-step explanation:
For P(x) = x/10
When x = 3;
Then;
P(3) = 3/10
When x = 5
Then;
P(5) = 5/10
= 1/2
When, x = 7
Then;
P(7) = 7/10
Answer:
[tex]P(3)=\frac{3}{10}=0.3\\\\P(5)=\frac{5}{10}=0.5\\\\P(7)=\frac{7}{10}=0.7[/tex]
Step-by-step explanation:
Probability is the possibility of happening of some event .
Probability = [tex]\frac{No.\,\,of\,\,outcomes}{Total\,\,no.\,\,of\,\,outcomes}[/tex]
Probability distribution links each outcome of an experiment with it's probability of occurrence .
Given: [tex]P(x)=\frac{x}{10}[/tex]
To find: Probability distribution for the given function for x = 3 , 5 and 7
Solution:
For x = 3 :
On putting x = 3 in function [tex]P(x)=\frac{x}{10}[/tex] , we get
[tex]P(3)=\frac{3}{10}=0.3[/tex]
For x = 5 :
On putting x = 5 in function [tex]P(x)=\frac{x}{10}[/tex] , we get
[tex]P(5)=\frac{5}{10}=0.5[/tex]
For x = 7 :
On putting x = 7 in function [tex]P(x)=\frac{x}{10}[/tex] , we get
[tex]P(7)=\frac{7}{10}=0.7[/tex]
Use completing the square to solve the equation x2 - 10x = -8.
Which equation is used in the process?
x2 - 10x + 25 = 17
x2 - 10x + 25 = -8
x2 - 10x - 25 = -33
Answer:
x^2 - 10x + 25 = 17
Step-by-step explanation:
Please use " ^ " to denote exponentation:
x^2 - 10x = -8
x^2 - 10x + 25 = 17
x^2 - 10x + 25 = -8
x^2 - 10x - 25 = -33
Begin with x^2 - 10x = -8. Here's the process for completing the square:
1. Take half of the coefficient of x and square the result:
(1/2)(-10) = -5, and then (-5)^2 = + 25
2. Add this 25 to the first two terms of x^2 - 10x = -8 and also to the constant -8: x^2 - 10x + 25 = -8 + 25, or x^2 - 10x + 25 = 17
3. Match this result to one of the given possible answers. Turns out that the given possible answer matching our result is the first one:
x^2 - 10x + 25 = 17
Answer:
number one!!
is your answer!!
an office building in the form of a right rectangular prism with a height of 200 m, a length of 60 and a width of 40 m. the upper quarter of each vertical face of the building must be covered with a large banner promoting a sports event. what will be the surface of the surface covered by the streamer
Final answer:
The surface area covered by the banner is 27,000 square meters. The side length of a square with the same area would be approximately 164.3 meters.
Explanation:
The office building is a right rectangular prism with a height of 200m, a length of 60m, and a width of 40m. The upper quarter of each vertical face needs to be covered with a large banner.
To find the surface area covered by the banner, we need to calculate the surface area of each vertical face. The surface area of a rectangular prism is given by the formula 2lw + 2lh + 2wh. Since we need to cover the upper quarter of each face, we can consider only three quarters of the height, resulting in a formula of 2lw + (3/4)lh + 2wh.
Plugging in the given values, we get:
Surface area = 2(60)(40) + (3/4)(200)(60) + 2(40)(200)
Simplifying the expression, we get the surface area covered by the banner to be 27,000 square meters.
If we want to represent the area as a square with the same area, we can take the square root of the surface area. In this case, the side length of the square representing the area would be approximately 164.3 meters.
you have 3/4 yard of felt for a project and you use 1/8 yard. What fraction of a yard of felt do you have left over?
Answer: [tex]\frac{5}{8}[/tex] yard.
Step-by-step explanation:
You have the following information given in the problem:
- You have 3/4 yard of felt.
- You used 1/8 yard,
Therefore, to find the fraction of a yard of felt that you have left over (which you can call x), you only need to subtract 3/4yard and 1/8 yard, as you can see below:
[tex]x=\frac{3}{4}yard-\frac{1}{8}yard\\\\x=\frac{5}{8}yard[/tex]
What is the sum of the geometric sequence 1,4,16 if there are 8 terms
Answer:
[tex]\large\boxed{21845}[/tex]
Step-by-step explanation:
The formula of a sum of terms of a geometric sequence:
[tex]S_n=a_1\cdot\dfrac{1-r^n}{1-r}[/tex]
We have:
[tex]a_1=1,\ a_2=4,\ a_3=16\ and\ n=8[/tex]
Calculate the common ratio:
[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_{n+1}}{a_n}\\\\r=\dfrac{4}{1}=4\\\\r=\dfrac{16}{4}=4[/tex]
CORRECT :)
Substitue:
[tex]S_8=1\cdot\dfrac{1-4^8}{1-4}=\dfrac{1-65536}{-3}=\dfrac{-65535}{-3}=21845[/tex]
What are the characteristics of a rectangle
Oh that question
Parallel sides
Opposite sides are congruent
And diagonals bisect each other
A rectangle is a four-sided quadrilateral with four right angles, opposite sides are parallel and of equal length, and the area is the product of its base and height. Rectangles typically have a larger perimeter than a square with the same area and can form larger rectangles when equal rectangles are combined. The golden rectangle has sides in the golden ratio, considered aesthetically pleasing.
A rectangle is a geometrical figure with some specific properties. First, it is a quadrilateral, meaning it has four sides. A defining characteristic of a rectangle is that it has four right angles (90°). Due to this property, opposite sides of a rectangle are parallel and equal in length. The area of a rectangle can be calculated by multiplying its base (length) by its altitude (height). A square is a special type of rectangle where all four sides are of equal length.
In terms of perimeter, a rectangle has a larger perimeter compared to a square of the same area, because it will have two longer sides and two shorter sides, whereas a square has four sides of equal length. This also means that in geographic terms, a rectangle would represent a larger coastline if used to approximate a peninsula. When constructing a golden rectangle, which is a rectangle with aesthetically pleasing proportions found in nature and art, the ratio of the longer side to the shorter side is known as the golden ratio.
Another important fact about rectangles is that by placing equal rectangles together, we can form a larger rectangle with sides that simply are multiples of the corresponding sides of the original rectangles. This principle is used in various mathematical proofs and constructions.
22.122+14.83 plz help this is super hard for me
Answer:
36.952
Step-by-step explanation:
22+14=36
.12+.83= .95
36+.95=36.95
Answer:
36.952
Step-by-step explanation:
Step 1. First think of regular addition add all of your number together.
Step 2. Once you've added all your numbers, place the decimal point. This can be done by counting the number of numbers behind the decimal point.
Step 3. Once you've added and placed your decimal point you should have gotten 36.952. Hope this helped you! <3
In 1997 U.S. House of Representatives there were 222 Republicans, 204 Democrats, 2 Independents, and 7 undecided. What percentage of the total is neither Republican nor Democrat?
A.) .02%
B.) .98%
C.) 2.1%
D.) 9%
Answer:
2.1
Step-by-step explanation:
There were a total of 435 people in the House. 9 were neither Republican nor Democratic. Divide 9/435. multiply that by 100
Answer:
The answer is C.
Step-by-step explanation:
In 1997 U.S. House of Representatives there were 222 Republicans, 204 Democrats, 2 Independents, and 7 undecided.
So total number in the House = 222 + 204 + 2 + 7
= 435
Total number who is neither Republican nor Democrat = 2 + 7
= 9
Percentage of the total is neither Republican nor Democrat
= 9 / 435 * 100%
= 2.1%
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Answer:
Order of Success rate A, B, C
Step-by-step explanation:
The table shows the field goal statistics for three different kickers.
Kicker A
Field goals attempted = 14
Field goals made = 12
Success rate = 12/14 = 0.857
Kicker B
Field goals attempted = 18
Field goals made = 15
Success rate = 15/18 = 0.833
Kicker C
Field goals attempted = 24
Field goals made = 19
Success rate = 19/24 = 0.792
Order of Success rate A, B, C
Answer:
A,B,C is the order from least to greatest
7x + 2y = 4
y = x + 1
Solve the system of equations.
A. (1/3, 4/3)
B. (2/9,11/9)
C. no solution
Ivan is on a three-day hike. The hike is 60 miles long. If he walked 15 miles on the first day and 25 miles on the second day, how many miles does he have left to walk?
Answer:
Ivan has 20 more miles to walk.
Step-by-step explanation:
If the hike is 60 miles long and he has already walked 15 miles the first day and 25 miles the next we can do this equation :
60 - 15 - 25 = 20.
Which means the third day he has to walk 20 whole miles! Good luck Ivan :D
Hope this helps,
Davinia.
Answer:
Ivan have left to walk = 20 miles .
Step-by-step explanation:
Given:Ivan is on a three-day hike. The hike is 60 miles long. If he walked 15 miles on the first day and 25 miles on the second day.
To find: How many miles does he have left to walk.
Solution: We have given that
Total length of hike = 60 miles .
Ivan walked on the first day = 15 miles .
Ivan walked on the second day = 25 miles .
Ivan walked in 2 days = 15 + 25 = 40 miles .
So, Ivan have left to walk = 60 -40 = 20 miles .
Therefore , Ivan have left to walk = 20 miles .
Which of the following expressions are equivalent to (x + y) − z ?
A. z + (x + y)
B. x +(y − z)
C. None of the above
[tex]\huge\text{B. $\boxed{x+(y-z)}$}[/tex]
First, let's take a look at the terms in the original expression. Since its just addition and subtraction, we can get rid of the parentheses, leaving behind just [tex]x+y-z[/tex].
As long as an answer is made up of a positive [tex]x[/tex], a positive [tex]y[/tex], and a negative [tex]z[/tex], its correct!
Removing the parentheses in choice A leaves us with [tex]z+x+y[/tex], which has a positive [tex]z[/tex] rather than a negative [tex]z[/tex], so it's incorrect.
Removing the parentheses in choice B on the other hand gives us [tex]x+y-z[/tex], which means it's the correct answer! This is a good example of the associative property of addition in action.
The correct expression that is equivalent is option B. x +(y − z)
Let's simplify each expression to see if they are equivalent to (x + y) - z:
A. ( z + (x + y))
We can rearrange the terms:
z + (x + y) = (x + y) + z
This is not equivalent to (x + y) - z because the terms are added in a different order.
B. (x + (y - z))
We can expand the expression:
[tex]\[ x + (y - z) = x + y - z \][/tex]
This expression is indeed equivalent to (x + y) - z because the terms are arranged in the same order and operations are consistent.
So, the correct answer is:
[tex]\[ \text{B. } x + (y - z) \][/tex]
What is greater 150yards or 429 feet or 130yards or 460feet
Hey there!
Let’s turn everything into yards (instead of feet) so we can determine which is greater
To do this, all we have to do is divide 3 (that’s how many feet are in a yard) by 429 & 460 (these are the 2 lengths that are represented by feet)
429 ÷ 3 = 143
460 ÷ 3 = 153.333... (let’s round to 153)
Now, we determine which is greater:
150 yards > 143 yards
So, 150 yards is greater than 143 yards (or 429 feet)
130 yards < 153 yards
So, 130 yards is less than 153 yards (or 460 feet)
Hope this helps you!
God bless ❤️
Brainliest would be appreciated
xXxGolferGirlxXx
What is y??????????????
Answer:
y = 6.4
Step-by-step explanation:
1.1 = 13.9 - 2y
-12.8 = -2y
6.4 = y
Answer:
y = 6.4
Step-by-step explanation:
Simplifying
1.1 = 13.9 + -2y
Solving
1.1 = 13.9 + -2y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '2y' to each side of the equation.
1.1 + 2y = 13.9 + -2y + 2y
Combine like terms: -2y + 2y = 0
1.1 + 2y = 13.9 + 0
1.1 + 2y = 13.9
Add '-1.1' to each side of the equation.
1.1 + -1.1 + 2y = 13.9 + -1.1
Combine like terms: 1.1 + -1.1 = 0.0
0.0 + 2y = 13.9 + -1.1
2y = 13.9 + -1.1
Combine like terms: 13.9 + -1.1 = 12.8
2y = 12.8
Divide each side by '2'.
y = 6.4
Simplifying
y = 6.4
y=-8x-12.Interpret the y-intercept and the slope
Step-by-step explanation:
Slope-intercept form: y=mx+b
The slope is 8. This means that 8 multiplied by x is the slope of the line, and if there was no y-intercept then the first point would be (1,8) so 8 would be unit rate.
The y-intercept is -12. This means that though the slope of the line would still be 8, you move the point down on the y-axis by 12. The y-coordinate will always be 12 less than 8 times x
-4(3s) + 2(-t)
if s = 1/2 and t = -3, what would the answer be?
Answer:
The expression would be = to 0.
Step-by-step explanation:
Starting with -4(3s) + 2(-t), substitute (1/2) for s and (-3) for t:
-4(3/2) + 2(+3)
This gives us:
-12/2 + 6 = 0
Answer:
-12
Step-by-step explanation:
3 times 1/2 is 1 1/2. 1 1/2 times -4 is -6. Then, -3 times 2 equals to -6. lastly -6 plus -6 equals to -12
what is the measure of jml?
Answer: 94
Step-by-step explanation:
Is the sequence -1,6,-36,216 geometric and what is the common ratio
Answer:
yes, -6
Step-by-step explanation:
6/-1 = -36/6 = 216/-36 = -6
Adjacent terms have a common ratio of -6, so they comprise a geometric sequence.
i don’t understand :(
Answer:
multiplication
Step-by-step explanation:
See what is happening to the expression x - 4 and choose the opposite operation.
x - 4 is being divided by 5.
The opposite operation to division is multiplication, so you need to use multiplication to get x - 4 alone on the left side.
the answer to the question is multiplication
2164 rounded to the nearest 10th
Answer: The answer is 2160
Answer:
2160
Step-by-step explanation:
all the numbers are small so instead of rounding up you round dow to zero for the forth.
A triangle has sides of lengths 4, 3, and 5. Is it a right triangle?
Answer:
Yes, because 3^2 + 4^2 = 5^2
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
it doesn't have the same length so one sides gonna be longer
What is the y-coordinate of the solution of the system of equations? {y=3x−262x−y=19 Enter your answer in the box.
Answer:
y = -5Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=3x-26&(1)\\2x-y=19&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\2x-(3x-26)=19\\2x-3x+26=19\qquad\text{subtract 26 from both sides}\\-x=-7\qquad\text{change the signs}\\x=7\\\\\text{Put the value of x to (1):}\\\\y=3(7)-26=21-26=-5[/tex]
Answer:
y=-5
Step-by-step explanation:
I did the text
I really need help plzzzzz
ANSWER
D. rotation, translation, reflection
EXPLANATION
Dilation is not a rigid motion.
When the triangle is dilated the image triangle may become bigger ( magnification) or smaller (reduction).
When the scale factor is negative 1, a congruent triangle is obtained.
Hence dilation will not always produce a congruent triangle.
Rotation, reflection and translation are rigid motions and hence will always produce a congruent triangle.
A measure of ____________ summarizes all of the values in a data set with a ______________ number.
mean; large
median; small
center; single
spread; large
Answer:
center; single
Step-by-step explanation:
The measures of central tendency or center measures are a number that attempts to describe or summarize the entire data set by means of a single value that represents the center of its distribution. There are different measures of central tendency, and each of them is used depending on the characteristics of the data used.
Some examples of measure of central tendency are:
* Arithmetic mean
* Mode
* Median
* Geometric mean.
Therefore, based on what has been described above, the answer to this question is the third option: center; single
Then:
A measure of __center_____ summarizes all of the values in a data set with a ____single_______ number.
Answer:
The correct answer options are: center; single.
Step-by-step explanation:
A measure of center summarizes all of the values in a data set with a single number.
The measure of center for any numerical data set is a value at the center of a data set which summarizes all of the values in a data set with a single number.
Some of the most common ways to solve for the measure of center are by finding the mean or median.
Which is the graph of 3x - 2y = 6?
Answer:
The graph for 3x - 2y = 6 is the second graph
The slope of the line is 3/2 and the y-intercept of the line will be 2. Then the correct option is D.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation is given below.
3x - 2y = 6
Simplify the equation for y, then we have
6 = 3x - 2y
2y = 3x - 6
y = (3/2)x - 2
The slope of the line is 3/2 and the y-intercept of the line will be 2.
Then the correct option is D.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
I don't know how to answer this please help this is urgent.
Answer:
V = 240 in ^3
SA = 2(lw+lh+wh)
SA = 236 in^2
Step-by-step explanation:
Volume = l*w*h where l=length, w= width and h =height
We know l=6, w=5 and h =8
V = 6*5*8
V = 240 in ^3
The formula for surface area of a rectangular prism is
SA = 2(lw+lh+wh) where l=length, w= width and h =height
We know l=6, w=5 and h =8
Substituting into the equation
SA = 2(6*5+6*8+5*8)
= 2 (30+48+40)
=2(118)
= 236 in ^2
1. For the carnival, the park rented a dunking booth shaped as a rectangular prism. The booth is 3 1/2 ft wide, 3 1/2 ft long, and 8 ft tall. (a) What is the total volume of the dunking booth? (b) If they are only going to fill the dunking booth 6/7 full, how many cubic feet of water will they need?
Answer:
a) The volume of the dunking booth = 98 feet³
b) They will need 84 feet³ of water to fill 6/7 of dunking booth
Step-by-step explanation:
* Lets talk about the rectangular prism
- It has 6 rectangular faces each two opposite faces are congruent
- It has three dimensions Length, Width and Height
- Its volume = Length × Width × height
* In our problem the dunking booth is a rectangular prism
with dimensions:
- Width = 3.5 ft
- Length = 3.5 ft
- Height = 8 ft
∴ Its volume = 3.5 × 3.5 × 8 = 98 feet³
a) The volume of the dunking booth = 98 feet³
* They want to fill 6/7 of the dunking booth with water
∴ The volume of the water will be 6/7 from the volume
of the dunking booth
∵ The volume of the dunking booth = 98 feet³
∴ The volume of the water = 6/7 × 98 = 84 feet³
b) * They will need 84 feet³ of water
a) 98
b) 84
hope this helps!
A park has a rectangular dog run with length 30 and width 20 ft. The parks department wants to expand each end of each side of the dog run by the same amount x. What will be the total area the expanded dog run?l
Answer:
[tex]Area = (30 + x)(20 + x)[/tex]
Step-by-step explanation:
By definition, the area of a rectangle is the product of its length multiplied by its width.
Initially the dog run has a length of 30 ft long and 20 ft wide.
If you want to expand the track, increase the length of each side by a factor x. So, the dimensions of the expanded dog run will be:
[tex]Length = 30 + x\\Width = 20 + x[/tex]
Then, the area is:
[tex]Area = Length * Width[/tex]
[tex]Area = (30 + x)(20 + x)[/tex]
The total area of an expanded rectangular dog run, after increasing each side by the same amount x, is calculated using the formula A = (l + 2x)(w + 2x), where l is the original length and w is the original width. The new area after expansion is 4x^2 + 100x + 600 square feet.
The student is asking how to calculate the total area of an expanded rectangular dog run after increasing each side by the same amount, x. To solve this, we can use the formula A = lw, where A is the area, l is the length, and w is the width of the rectangle. In the original dimensions, the dog run has a length of 30 ft and a width of 20 ft. After expanding, the new dimensions will be (30 + 2x) ft for the length and (20 + 2x) ft for the width, since each side is increased by x on each end.
Expanded Dog Run Area Calculation:
First, we write out the new dimensions:
New Length = 30 ft + 2xNew Width = 20 ft + 2xThen, we calculate the new area:
A = (30 + 2x)(20 + 2x)
A = 600 + 60x + 40x + 4x^2
A = 4x^2 + 100x + 600
The expanded area of the dog run will be 4x^2 + 100x + 600 square feet.