The following shape has 1 pair of parallel sides.
What is the area of the shape?
Answer:
57
Step-by-step explanation:
There's three shapes, 2 triangles and 1 rectangle.
1. To find the area of a rectangle multiply the legth x width, so 5*2, which is 10.
2. To find the area of a traingle multiply the length and width, and then divide that by two. For the smaller triangle do 6*5, which is 30, and divide that by 2 for 15.
3. The big triangle shows the length of one side but not on the other. Because the length of the rectangle is the same on both sides, and the length 3 and 5 are on the same line, the other length of the large triangle is 8.
4. 8*8 is 64, and dividing that by 2 is 32.
5. Add all of the numbers: 10+15+32, which is 57.
The area of a 2D form is the amount of space within its perimeter. The total area of the given figure is 57 inches².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Let the given figure be divided into three parts. Such that the triangle on the left side or the bigger triangle is represented by A and the triangle on the right side of the smaller triangle is represented by B. The area of the given shape can be written as,
Area of triangle A = 1/2 × Height of triangle A × Base of the triangle A = 1/2 × 8 inches × 8 inches
= 32 inches²
Area of rectangle = Length × Breadth
= 5 inches × 2 inches
= 10 inches²
Area of triangle B = 1/2 × Height of triangle B × Base of the triangle B = 1/2 × 5 inches × 6 inches
= 15 inches²
Further, the total area of the shape can be written as,
Total area = 32 inches² + 10 inches² + 15 inches²
= 57 inches²
Hence, the total area of the given figure is 57 inches².
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3a-2b=50, 2a+3b=100 what does a equal and what does b equal?
Answer: I got A is 350 over 13 and B is 400 over -13
Step-by-step explanation:
Hope this helps!
GIVING BRAINLIEST AND 100 POINTS!!!
Complete the pattern on the table for the cost of 0, 1, 2, and 3 ice cream treats. Then write the ordered pair for each row.
Answer:
I need the table, if you give the table ill answer it right away.
Step-by-step explanation:
solve the problem - 4(6x + 7) ≥ 116
Answer:
if were solving for X, that's the answer
Step-by-step explanation:
Answer:
hope this helps
Step-by-step explanation:
Devon studied 2 pieces by each modern artist featured in the museum. Each artist has the same number of works in the museum.
Is this sample of the work of the museum's modern artists likely to be biased?
Answer Yes or No
Find the measure of angle six
The cafeteria at Midtown Middle School surveyed 575 students about their favorite food. Find the number of students that responded for each of the following. Show your work.
chicken: 8%
salad: 20%
burgers: 16%
fruit:24%
Answer:
chicken:46
salad: 115
burgers: 92
fruit:138
Step-by-step explanation:
chicken: 575*8%=46
salad: 575*20%=115
burgers: 575* 16% =92
fruit:575*24%=138
The line plot below shows the heights of flowers grown by the students in one of the fifth grade classes. Persia makes a flower arrangement using the 8 longest flowers.
Which is the combined height of the flowers Persia uses?
A. 59 3/4 inches
B. 61 1/2 inches
C. 62 1/4 inches
D. 63 1/4 inches
The combined height of the flowers Persia uses will be 61 1/4 inches. Then the correct option is C.
How does the dot plot work?Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.
The line plot below shows the heights of flowers grown by the students in one of the fifth-grade classes. Persia makes a flower arrangement using the 8 longest flowers.
Then the combined height of the flowers Persia uses will be
→ 6.5 + 6.75 + 7 + 7.25 + 7.5 + 7.75 + 8.5 + 10
→ 61.25
The number 61.25 can be written as
→ 61 and 1/4 inches
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What is spark addition?
Answer:
spark addition is a left to right addition
A circular hot spring has a diameter of 96 meters. Over time, the diameter of the spring decreases by 8 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for pi
Answer:
The area decreases by 1155.52 square meters
Step-by-step explanation:
What we must do is calculate the area before and after making the diameter cut.
The area of a circle is equal to:
a = pi * r ^ 2
now the diameter is equal to:
d = 2 * r
therefore r,
r = d / 2
before the cut would be
r = 96/2
r = 48
replacing in the area formula
a1 = 3.14 * 48 ^ 2
a1 = 7234.56 square meters.
after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:
r = 88/2
r = 44
now calculating the new area would be:
a2 = 3.14 * 44 ^ 2
a2 = 6079.04 square meters.
now we calculate the difference
a1 - a2 = 7234.56 - 6079.04
= 1155.52 square meters
means that the area decreases by 1155.52 square meters
A small cruise ship has 220 passengers. At the Port of San Juan, 2 groups of 12 passengers go ashore to shop and 5 groups of 6 passengers go sightseeing. Evaluate 220 - (2 x 12) - (5 X 6) to find the number of passengers that are left on the ship. -
Answer:
166
Step-by-step explanation:
Do the parathisis first
(2x12)=24
(5x6)=30
Then do
220-24-30=166
Answer:
166
Step-by-step explanation:
what is reflection and reflected
Answer:
Reflection is every point is the same distance from a central line
Reflected is a transformation representing a flip of a figure
Step-by-step explanation:
Sorry!!!!
James had 25% more paper clips than Andy. Mary had 70 paper clips. If the three of them had 520 paper clips altogether, express Mary's paper clips as a percent of Andy's paper clips.
Answer:
Percentage is a part of a whole. The percentage change in the number of paper clips is 12.5%.
Given to us
Number of Paper clips Initialy= 72
Number of Paper clips now = 63
We know that the paper clip, in the beginning, was 72 but later on it was reduced to 63. therefore, the paper clips were reduced from the initial value.
\text{Percentage change} =\rm \dfrac{Initial\ value\ - final\ value}{Initial\ value} \times 100Percentage change=
Initial value
Initial value −final value
×100
Substitute the value,
\text{The percentage change in the paperclip } =\rm \dfrac{Initial\ value\ - final\ value}{Initial\ value} \times 100The percentage change in the paperclip =
Initial value
Initial value −final value
×100
\begin{gathered}\begin{aligned}\text{The percentage change in the paperclip } &=\rm \dfrac{72-63}{72} \times 100\\\\&= 12.5\% \end{aligned}\end{gathered}
The percentage change in the paperclip
=
72
72−63
×100
=12.5%
Hence, the percentage change in the number of paper clips is 12.5%.
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Step-by-step explanation:
THIS ANSWER IS CORRECT
BRAIN LESS ANSWER
EDIT: NOT MAX POINTS REMAKING QUESITON
Answer:
:what is the question
Please help! -The volume inside a rectangular storage room is 2,052 cubic feet. The room is 9 feet high. Find the area of the floor.
Answer:
volume=Length x width x height
so area is Length x width, therefore you would just take 2,025 and divide by 9 to get 225 sq. ft for the area.
Step-by-step explanation:
Answer:
227 square feet
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height.
Filling in the given information, we have ...
2043 ft³ = B·(9 ft)
Dividing by the coefficient of B gives its value:
B = (2043 ft³)/(9 ft) = 227 ft²
The area of the floor is 227 square feet.
I hope this helped have a great day
July bought 16 quarts of vinegar for $10.40. How much did she pay for 1 quart of vinegar?
Answer:
1.53$
Step-by-step explanation:
Do the equation 16 / 10.40 = 1.53.
pls give brainliest
The area of Russia is about 1.71 x 107 square kilometers. The area of Jamaica is about 1.10 x 104 square miles. How many times larger is Russia than Jamaica? Write your answer in scientific notation, and round the decimal part of your answer to two decimal places.
Answer:
2 x 10^3 times
Step-by-step explanation:
-lukelaws
I hope I helped if I did please mark me brainliest!
Which of these is a pair of adjacent angles?
Answer:
C.
Step-by-step explanation:
At the bottom is a completed addition problem with all the digits replaced by letters. Every letter represents a single digit and different letters represent different digits. What digit might the letter T represent?
MH+ MH+ MH = TM
Please Help ASAP
BRAINLIEST
What is the interquartile range of this data set? Enter your answer in the box
From the stem and leaf plot, we get the following data points-
10, 23, 23, 28, 33, 45, 80, 90
First of all, the data should be arranged in the ascending order. The given data is already in the ascending order, so we can proceed directly.
The formula that is used to calculate the IQR is Q3-Q1, which is the difference between the third and the first quartile of the given data.
Now we need to find the median for the data given for the second quartile. Median is the average of the two central values- 28 & 33.
Hence we get Q2 = (28 + 33) / 2 = 30.5.
Now we find the median for Q1, which is the median of the lower part of the given data which is 10, 23, 23, & 28. (23 + 23) / 2 = 23.
Similarly, for Q3, which is the upper part- 33, 45, 80, and 90. We get (45 + 80) / 2 = 62.5.
Now we should subtract Q1 from Q3: Q3 - Q1 = 62.5 - 23 = 39.5.
So, the interquartile range is 39.5.
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A student needed to find the measure of angle b. She incorrectly said m
Math help!
77-999+6 divided by 2 =
. A pedestal is built using a trapezoid-shaped base. Find the area of the trapezoid.
(1 point)
A equals 18 meters squared
A equals 24 meters squared
A equals 15 meters squared
A equals 22 meters squared
18m^2
area of a trapezoid = (a+b)/2 * h, where a and b are bases 1 and 2, and h is height
(4+8)/2 * 3
= 12/2 * 3
= 6 * 3
= 18
A bag contains 7 green marbles, 9 red marbles, 10 orange marbles, 5 brown marbles, and 10 blue marbles. You choose a marble, replace it, and choose again. What is P(red, then blue)?
Answer:
9/41+10/41 which is 19/41
Step-by-step explanation:
If its right, mark me as brainliest
find the value of x in the equation without evaluating the power
Answer:
4
Step-by-step explanation:
Here's my method of doing this:
We'll be using logarithms
Our question is:
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]
If we don't want to evaluate any powers at all we'll have to make each term have the same base (so that we can ignore the base — [tex]\frac{1}{3}[/tex])
we need to figure out what power of a [tex]\frac{1}{3}[/tex] the [tex]\frac{1}{729}[/tex] is.
what we can do is the following:
[tex](\frac{1}{3})^?[/tex] = [tex]\frac{1}{729}[/tex]
[tex]3^?[/tex] = 729
If we take the "log" of each, we can find out what power of 3 gives 729.[tex]log(3^?) = log\ 729[/tex]
We must remember this rule: [tex]log(a^n) = n \times log(a)[/tex]
[tex]? \times log 3 = log 729[/tex]
[tex]? = \frac{log\ 729}{log\ 3}[/tex]
? = 6 (with a calculator)
This means that to get 729, we need to do [tex]3^6[/tex]
Therefore [tex](\frac{1}{3})^6 = \frac{1}{729}[/tex]
We can now solve the equation!
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex]
Since each term of our equation has the same base of [tex]\frac{1}{3}[/tex] we can ignore it and just deal with the powers!
We must remember this rule: [tex]x^a \times x^b = x^{a + b}[/tex]
Using this rule:
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex] becomes...
[tex]2 + x = 6[/tex]
[tex]x = 6 - 2 = 4[/tex]
What is the value of x in the figure?
Answer:
130
Step-by-step explanation:
130 because 130 +15 is equal to 145 and if the angles cross they're the same measure
Which system of equations would have no solution? pls helpp
Answer:
3x+y=8 and 3x+y=9
Step-by-step explanation:
Assume these two equations:
a1x+b1y+c1=0
a2x+b2y+c2=0
If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.
In these case, take a look at the last option:
[tex]3x + y = 8 \\ 3x + y = 9[/tex]
Re-write 'em as a standard form:
[tex]3x + y - 8 = 0 \\ 3x + y - 9 = 0[/tex]
So (a1/a2) = (b1/b2) ≠ (c1/c2) is true here:
[tex] \frac{3}{3} = \frac{1}{1} ≠ \frac{ - 8}{ - 9} [/tex]
And they do not have any collision point
18/10 more than a number of x is equal to 29/5
The value of [tex]x[/tex] such that [tex]\dfrac{18}{10}[/tex] more than a number of [tex]x[/tex] is equal to [tex]\dfrac{29}{5}[/tex] is [tex]4[/tex].
Draft a linear mathematical equation from the given data and solve the same to determine the value of [tex]x[/tex].
Solution
According to the question,
[tex]x+\dfrac{18}{10}=\dfrac{29}{5}\\x=\dfrac{29}{5}-\dfrac{18}{10}\\x=\dfrac{29-9}{5}\\x=4[/tex]
As a result, the value of [tex]x[/tex] is [tex]4[/tex].
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The committee spends $640 dollars on spotlights.
Create an equation that can be used to find x, the number of spotlights the committee rented.
Answer:
32 spot light
Step-by-step explanation:
lets say each spot light was 20$ the answer would be 32 cuz 32 x 20 = 640 so our equation would be 640 ÷ 20 = x and x = 32
In ABC, m
In XYZ, m
Include in Your Answer:
What is m
What is m
Is it possible for these two triangles to be similar? Why or why not?
Answer:
Angle C= 79 degrees
Angle X= 62 degrees
Yes, the two triangles are similar because all the angles are congruent. The requirement for two triangles to be similar is if two corresponding angles are equal.
Step-by-step explanation:
A triangle is 180 degrees.
So adding the angles of triangle ABC, 62+39=101
180-101=79, so angle c is 79 degrees
Adding the angles of triangle XYZ, 39+79=118
180-118=62, so angle x is 62 degrees
Answer:
Angle C= 79 degrees
Angle X= 62 degrees
Step-by-step explanation: