Answers
Answer: 94.54 m^2 (square meters)
Step-by-step explanation: The formula for the area of a trapezoid is A = 1/2(a+b)h; where a and b are the two top sides of the trapezoid that are parallel. Let us then solve.
Let us combine both sides two maintain the overall side for "b", which is 18 + 5.1 = 23.1
Let us now add both sides (a + b.) 23.1 + 9.5 is 32.6. We can now multiply by the height. 32.6 multiplied by 5.8 is 189.08
We can now divide (or multiply by 1/2), which is 189.08 * 1/2 or 189.08/2 and that equals 94.54.
Step 1
Find the area of the Rectangle in the middle
To find the area, you have to do [tex]Length*Width[/tex]
[tex]9.5*5.8=55.1[/tex]
The area of the Rectangle in the middle is 55.1m²
Step 2
Find the area of the triangle on the right
To find the area of 1 triangle, we have to use the formula show below:
[tex]A=\frac{1}{2}* Base *Height[/tex]
Base = the part on the bottom
Height = How high the triangle is
[tex]A=\frac{1}{2} *5.1*5.8\\=\frac{1}{2} *29.58\\=14.79[/tex]
The area of the triangle on the right is 14.79m²
Step 3
Find the area of the triangle on the left
Using the formula that we used in the last question about finding the area of the triangle, we can find our answer, here is the formula:
[tex]A=\frac{1}{2}* Base *Height[/tex]
Base = the part on the bottom
Height = How high the triangle is
BUT, before finding the area of this part of the triangle, we have to first find the dimensions, we know the height, but we don't know the base, so to find the base, we will subtract 18 by 9.5 to get our base
[tex]18-9.5=8.5[/tex]
So the base of the triangle on the LEFT is 8.5m
NOW, we can find the area of the triangle on the left
[tex]A =\frac{1}{2}* 8.5*5.8\\=\frac{1}{2} *49.3\\=24.65[/tex]
So the area of the triangle on the LEFT is 24.65m²
Step 4
Add up all the areas to get final answer!
The areas of the 3 shapes are...
55.1m²
14.79m²
24.65m²
If we add these numbers up, we get 94.54m²The area of the trapezoid is 94.54m²
Related Questions
Johnny runs a hot dog stand. On Wednesday morning, he had 32 dozen hot dogs at his stand. The graph shows the number of hot dogs (in dozens) that remained unsold at the end of each day of sales.
Answers
I saw you got it in the comment section of the post, but yes, he sold 30 dozen hot dogs on Wednesday.
By using the information of the graph, we conclude that he sold 2 dozen (24 hot dogs) on Wednesday.
How many hot dogs did Johnny sell on Wednesday?
The graph shows how many dozens of hot dogs Johnny had at the end of each day.
We know that he started with 32 dozens, and in the graph, we can see that at the end of Wednesday he had a total of 30 dozens.
Then the amount that he sold that day is:
32 dozens - 30 dozens = 2 dozens.
On Wednesday, he sells 2 dozen of hot dogs.
If you want to learn more about graphs:
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Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV.
The survey showed the following frequencies:
Men—playing sports: 11; dancing: 3; watching movies/TV: 6
Women—playing sports: 5; dancing: 16; watching movies/TV: 9
Which of the following is a correct two-way frequency table for the data?
Men and Women Leisure Time Activity Preferences
Playing Sports Dancing Watching movies/TV Row totals
Men 0.22 0.06 0.12 0.12
Women 0.10 0.32 0.18 0.60
Column totals 0.32 0.38 0.30 1
Men and Women Leisure Time Activity Preferences
Playing Sports Dancing Watching movies/TV Row totals
Men 11 3 6 20
Women 5 16 9 30
Column totals 16 19 15 50
Men and Women Leisure Time Activity Preferences
Playing Sports Dancing Watching movies/TV Row totals
Men 0.55 0.15 0.30 1
Women 0.17 0.53 0.30 1
Column totals 0.32 0.38 0.30 1
Men and Women Leisure Time Activity Preferences
Playing Sports Dancing Watching movies/TV Row totals
Men 0.69 0.16 0.40 0.40
Women 0.31 0.84 0.60 0.60
Column totals 1 1 1 1
Answers
Answer:
Hello how are you the answer is b
please help 50 points given!!
Answers
Answer:
13. D (Because you pick the ice cream flavors FOR THE CONE)
14. 1/12 Because theres 6 sides on a Number Cube and two sides on a coin
Step-by-step explanation:
Shown Above , Hope this helps have a great night!
Barb pulled the plug in her bathtub and it started to drain. The amount of water in the bathtub as it drains is represented by the equation L = -5t - 8t + 120, where L represents the number of liters of water in the bathtub and t represents the amount of time, in minutes, since the plug was pulled. How many liters of water were in the bathtub when Barb pulled the plug? Show your reasoning. Determine, to the nearest tenth of a minute, the amount of time it takes for all the water in the bathtub to drain.
Answers
The bathtub had 120 L of water before Barb pulled the plug.
It will take about 9.23 minutes for the water to drain out.
Given equation: L = -5t - 8t + 120
Simplified: L = -13t + 120
Notice how it's written in slope-intercept form (y = mx+b)
The y-intercept (L) is 120. So the coordinates for L = (0 , 120)
The coordinates mean that before the water in the bathtub began draining out, it initially had 120 Liters of water.
Now that we know how many liters there were before, the new equation would look like this: L = -13t --> 120 = -13t
Solving the equation, we get that t = -9.23 minutes
Since time can't be negative, we'll just say that it will take 9.23 minutes to drain out all the water.
pulled the plug.
It will take about 9.23 minutes for the water to
drain out.
Given equation: L=-5t - 8t + 120
Simplified: L=-13t + 120
Notice how it's written in slope-intercept form (y
= mx+b)
The y-intercept (L) is 120. So the coordinates for
L= (0, 120)
The coordinates mean that before the water in
the bathtub began draining out, it initially had
120 Liters of water.
Now that we know how many liters there were
before, the new equation would look like this: L
=-13t -> 120 = -13t
Solving the equation, we get that t=-9.23
minutes
Since time can't be negative, we'll just say that it
will take 9.23 minutes to drain out all the water.
Will this be hard for you guys-? (will give Brainliest) ^^
I hope not! ^^
Answers
Answer:
640 ft
Step-by-step explanation:
Volume = l x w x h
Answer:
About 64ft
[tex] {64ft}^{3} [/tex]
Step-by-step explanation:
We all know that to find volume it's length (l) × weath (w) × height (h)
Look at the coordinate plane below. Give directions of how to get to the point representing the duck pond, from the origin (0,0).
Answers
Answer:
Answer below in step section
Step-by-step explanation:
First we see the duck pond is at point (7,5) on the graph.
One way to get from (0,0) to (7,5) is to go up 5 points from the orgin and then turn right and go 7 points to get to Duck Pond.
Let me know if you need different directions because there are multiple ways to get from the orgin to the duck pond point!
A football gained 11 yards on each of 8 plays. How many yards did they gain?
88
19
20
-80
Answers
Answer:he gained 88 yards
Step-by-step explanation: just do 11x 8 and you will get 88
so therefore the best option is a have a great day
Answer: Hello your answer would be, [tex]88[/tex].
Step-by-step explanation:
If a football gained 11 yards each play 8 times, you multiply
[tex]11*8[/tex]
Cancel yd
[tex]\frac{11}{8}[/tex]
[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be[/tex] [tex]A.[/tex] [tex]88[/tex]
Help me out for brainliest and 40 points :) With explanations please.
Answers
For this, you will just simplify to figure it out. It should be pretty easy.
14/5 is 2 4/5 (2 whole and 4/5 extra)
17/8 is 2 1/4 (2 whole and 1/4 extra)
11/3 is 3 2/3 (3 whole 2/3 extra)
15/6 is 2 1/2 (2 whole 1/2 extra)
Hope it helps!
Answer:
a 2 4/5 b 2 1/8 c 3 2/3 d 2 3/6
Step-by-step explanation 14 goes into 5 two times 5x2=10 , 14-10=4 . 17 goes into 8 two times 8x2=16, 17-16=1. 11 goes into 3 three times 3x3=9 , 11-9=2. 15 goes into 6 two times 6x2=12 , 15-12=3
I am really confused please help!
Answers
We all know 2/1 is 2, so now we know the density is 2 grams per milliliter
Commonly written as 2g/mL
45. A pile of logs has 24 logs in the bottom layer, 23 in the second layer, 22 in the third, and so on. The top layer contains 10 logs. Find the total number of logs in the pile.
Answers
The total number of logs in the pile will be 255.
What is the sum of an arithmetic sequence?Let a₁ be the first term, L be the last term, n be the number of terms, and d be a common difference.
Then the sum of the arithmetic sequence will be
S = (n / 2)[a₁ + L]
S = (n/2) [2a + (n − 1) d]
A pile of logs has 24 logs in the bottom layer, 23 in the second layer, 22 in the third, and so on. The top layer contains 10 logs.
The common difference is negative 1.
Then the nth term of the arithmetic sequence is given as,
10 = 24 + (n - 1) x (-1)
n - 1 = 14
n = 15
Then the total number of logs in the pile will be
S = (15/2) [24 + 10]
S = 7.5 x 34
S = 255
The total number of logs in the pile will be 255.
More about the sum of arithmetic sequence link is given below.
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ill give brainly and 10 points
Answers
Answer: 105 in^2
Step-by-step explanation: The area of the square is 25 because 5x5=25. The area of each triangle is 20, because to find a triangle it is BxH/2. so 5x8/2=20. Multiply this by four because there are four triangles and add the area of the square. So 20x4= 80. 80+25=105
please help!
A survey was conducted to determine how many movies were seen in one month among the 26 students in Mrs. Hampton’s sixth-grade class. The results are shown in the dot plot below.
a) Calculate the measures of center for the data in the dot plot, rounding your answers to the nearest tenths place. Show how you determined your answer. b) Are there any overall patterns in the data set? Striking deviations? Use mathematical reasoning to justify your answer.
b) Are there any overall patterns in the data set? Striking deviations? Use mathematical reasoning to justify your answer.
c) Calculate the measures of spread for Mrs. Hampton’s class data. Justify your response by describing the process used to find each measure.
d) Which is a better measure of spread: range or interquartile range? Why?
e) What does the value of the mean absolute deviation tell you about the spread of the data?
Answers
Answer:
B
Step-by-step explanation:
some math probssssssss
Answers
Answer:
m = 8
Step-by-step explanation:
turn it into a square and then you can divide 48 by 6 and the answer is 8
Answer:
the answer for the first one is 8 because we need to divide the area which is 48 by 6 to get the answer which is 8 so we multiply 6 times 8 to check if it is 48 and yes sir it is.
In the second one you need to divide 42 by 6 not by 4 and when you do that you get 7 so we multiplied 6 times 7 to check if the area is 42 and yes it is sir again so the first one is 8 and the second one is 7
Step-by-step explanation:
Can someone tell me the answer I’ve been stuck on this for hours
Answers
do yall know the answer to (3x+4)(x-2)
Answers
Use the table to find the experimental probability of spinning a number less than 4. Write your answer as a fraction.
Spinning a Spinner
Number spun Times spun
1 11
2 9
3 11
4 6
5 6
6 7
Answers
Answer:
First, The experimental probability of spinning a 4 is 200 or 18.5%.
18.5 in fraction form is 37/2.
Step-by-step explanation:
185/10 = 37/2 = 18 and 1/2
500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:
Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an 18-degree angle, since 18 degrees is 5% of 360 degrees.
If we consider only the people who named a rainbow color (red, orange, yellow, green, blue, or purple), what percentage of those people preferred red?
Answers
Answer:
40 degrees is (40/360)=0.111=11.1%
The color closest to 11.1% is Purple at 12%.
The total who prefer a rainbow color is:
13+4+5+15+16+12=65
Of this 65, 13 prefer red, so 13/65=0.20,
of the people who preferred a rainbow color,
20% preferred red.
Step-by-step explanation:
The percentage of those people who preferred red is 20%.
What is a percentage?
The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Considering only the people who named a rainbow color (red, orange, yellow, green, blue, or purple).
This means,
Total percentage.
= (13 + 4 + 5 + 15 + 16 + 12)
= 65%
Now,
The percentage of those people preferred red.
= 13%/65% x 100 %
= 13/65 x 100
= 20%
Thus,
The percentage of those people who preferred red is 20%.
Learn more about percentages here:
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26. A mathematics department has ten faculty members but only nine offices, so one office must be shared by two individuals. In how many different ways can the offices be assigned?
Answers
The different ways can the offices be assigned will be 36.
What is the combination?The arrangement of the different things or numbers in a number of ways is called the combination.
It is given that:-
A mathematics department has ten faculty members only nine offices, so one office must be shared by two individualsThe number of the different ways are:-
[tex]^9C_2=\dfrac{9!}{(9-2)! \times 2!}[/tex]
[tex]^9C_2=\dfrac{9!}{(7)! \times 2!}[/tex]
[tex]^9C_2=\dfrac{9\times 8 \times 7!}{(7)! \times 2!}[/tex]
[tex]^9C_2=\dfrac{9 \times 8} 2}\ =36[/tex]
Therefore the different ways can the offices be assigned will be 36.
To know more about combinations follow
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A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.
Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?
A. Online customers buy an average of four packs compared with walk-in customers, who buy an average of one pack.
B. Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.
C. Online customers buy an average of four packs compared with walk-in customers, who buy an average of two packs.
D. Online customers buy an average of five packs compared with walk-in customers, who buy an average of one pack.
Answers
Answer:
The Answer is C. Online customers buy an average of four packs compared with walk-in customers, who buy an average of two packs. Step-by-step explanation:
The mean for online customers is 4.3
The mean for walk in customers is 1.8
Round the 4.3 to 4 and Round the 1.8 to 2
( brainliest ) I make 20,000$ a month. How much do I make a day? How much do I make an hour?
Answers
Answer:
$123 per hour
923.08 a day
depends how many hours is worked
Answer:
$123 per hour
923.08 a day
Step-by-step explanation:
ill give brainly but hurry
Answers
Answer:
D. 270
Step-by-step explanation:
9 + 9 = 18
18 x 15 = 270
Answer:
270
Step-by-step explanation:
1. divide the bases into separate numbers and add them together. 18.
2. multiply by the height, which is the dotted line. The result is 270.
GRAPHING COORDINATES (additional instructions in photo)
I really need help please once I get this done I’ll be able to go to a concert I’ve always wanted to go to I’m just so confused with this please help!!!
(Btw if you help with this question go answer the last one for more points)
Answers
Answer:
flip it
Step-by-step explanation:
just flip the existing coordinates and make the negative to positive
Answer: All you have to do is flip it
The inside space of two different water tanks are shown below. Which tank has a greater capacity? Justify your response to Question 1.
Answers
Neither, they have the same capacity
Justification:
Tank 1: 6 X 3 X 1.5 (1 1/2) = 27
Tank 2: 9 X 2 X 1.5 = 27
So the tanks have the same capacity.
Answer: C , explanation at the bottom
Step-by-step explanation:
Step 1: Find the volume of tank 1
V= Lwh
l= 6in
w= 1.5in
h= 3in
6x1.5x3= 27
Step 2: Find the volume of tank 2
l= 2 in
w= 1.5 in
h= 9 in
2x1.5x9= 27
Step 3: Compare
27=27
answer= C
Explanation: Since they have the same volume, they can hold the same amounts. Using the formula V=lwh, I multiplied the lengths, widths, and heights of both tanks and then compared their volumes.
Determine whether each mathematical statement is true or false. The answer choices on the right may be used more than once.
Answers
2. false
3. false (they’re equal)
4. true
5. true
help me please!!!!!!!!
Answers
Answer:
(2,4) is circle
(5,4) is diamond
(1,5) is triangle
(5,1) is heart
moon is (2.5,4)
heart is (1,2)
line k is parallel to the x-axis and is perpendicular to the y-axis
line e is parallel to the y-axis
(1 , 2)
Which line passes through point H and is parallel to the y-axis?:
Line g
Match the shape with the appropriate coordinate pair:
(2 , 4) circle
(5 , 4) diamond
(1 , 5) triangle
(5 , 1) heart
Name the coordinates of the moon:
(2 1/2 , 4)
Line k is parallel to the x-axis, and is perpendicular to the y-axis
Solve the following inequality for m. Include your number line.
4(2m-8)>48
Answers
number line is included btw in the photo
What is the approximate volume of a cylinder with a radius of 3 feet and a height of 4 feet?
You may use your formula sheet and a calculator.
Use 3.14 for π.
Question 2 options:
37.68 ft³
113.04 ft³
75.36 ft³
36 ft³
Answers
answer is 113.04 ft³
formula is
volume = pi times radius squared times height
3.14 times 3 squared times 4
3.14 x 9 x 4 =
What elements of a rectangular prism are needed to find its volume?
Answers
Answer:
Height Length And Width
Step-by-step explanation:
The formula for the volume of a retangular prisim is Volume=Length x Width x Height
Answer:
the answer is length width hieght
Step-by-step explanation:
An account earns 3% yearly simple interest. How much interest will you earn in 5 years if you put $820 in the account
A. $130.60
B. $ 123.00
C. $943.00
D. $950.60
Answers
Answer:
[tex]the \: interest \: is \: 123.00(option \: b)[/tex]
Step-by-step explanation:
[tex]rate = 3\% \\ time = 5years \\ principal = 820[/tex]
[tex]interest = \frac{principal \: \times rate \: \times \: time}{100} [/tex]
[tex]interest = \frac{820 \times 5 \times 3}{100} [/tex]
[tex]the \: interest \: is \: 123[/tex]
ASAP HELP PLEASE ITS HOMEWORK
Answers
Answer:
[tex]=132[/tex]
Step-by-step explanation:
[tex]A=2AB+(a+b+c)h[/tex]
[tex]AB=\sqrt{s(s-1)(s-b)(s-c)}[/tex]
[tex]s=\frac{a+b+c}{s}[/tex]
Now we have to solve for A:
[tex]A=ah+bh+ch+\frac{1}{2}\sqrt{-a^{4}+2(ab)^2+2(ac)-B^4(bc)^2-c^4[/tex]
[tex]4*10+3*10+5*10+\frac{1}{2}*\sqrt{-4^4+2*(4*3)^2*(4*5)^2-3^4+2*(3*5)^2-5^4}[/tex][tex]=132[/tex]
