The diagram shows a playground in the shape of a trapezium.
50 m
U
32m
90 m
Work out the area of the playground.
Answers
Answer:
[tex] 2240 {m}^{2} [/tex]Step-by-step explanation:
Given,
Parallel sides of the trapezium = 50m, 90m
Height of the trapezium = 32m
Therefore,
Area of the trapezium
[tex] = \frac{1}{2} \times sum \: of \: parallel \: sides \: \times \: height[/tex]
[tex] = \frac{1}{2} \times (50 + 90)m \times 32m[/tex]
= (50 + 90) m × 16m
= 140m × 16m
[tex] = 2240 {m}^{2} (ans)[/tex]
Answer:
A = 2240 m²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 32 , b₁ = 90 and b₂ = 50 , then
A = [tex]\frac{1}{2}[/tex] × 32 × (90 + 50) = 16 × 140 = 2240 m²
Related Questions
A recent survey showed that 23.3 million adults have cut the cord on cable TV services, a 30% increase fron the previous year. If this trend continues, how many millions if adults can be expected to cut the cord next year?
Answers
Answer:
30,290,000 people
Step-by-step explanation:
The question is asking if the trend continues from the PREVIOUS year, so we would find the 30% of 23,300,000
23,300,000/100 = 233,000 = 1%
233,000 x 30 = 6,990,000
23,300,000 = 6,990,000 = 30,290,000
- Solve the equation 3 + n = 12
Answers
Answer:
n = 9
Step-by-step explanation:
Method 1(Algebra) :
3 + n = 12
3 - 3 + n = 12 - 3
n = 9
Method 2:
3 + n = 12
Move 3 to the other side of the equation.
n = 12 - 3
n = 9
What would this One be??
Answers
Answer:
the pre-image and the image are congruent
Step-by-step explanation:
Answer:
i think its c
Step-by-step explanation:
10+4y=20
Help me and out the steps in please
Answers
Answer: 10+4y=20
4y= 10
y= 10/4
y= 5/2
Step-by-step explanation: above
_ +18=5+41
What is the equation to finding the missing number
Answers
Answer:
28
Step-by-step explanation:
5+41= 46, so now subtract 46 to 18 and you get 28
To check 18+28=46 and 5+41=46
Answer:
Equação básica de segundo grau
what is 3 x 3 x 9 x 9 x 81 x 81 x 6561 x 6561
Answers
Answer:
205891132094649
Wavelength and Frequency
A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:
C - 262 Hz
E - 330 Hz
G - 392 Hz
Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )
a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8
Please select the best answer from choices provided
Answers
Answer:
B. 3 to 2
Step-by-step explanation:
I calculated it logically
The ratio of the frequency of G to C is 1.5. So, option b is correct.
What is meant by frequency ?Frequency of a wave is defined as the number of oscillations completed by the wave in one second.
Here,
The frequency of note G, f(G) = 392 Hz
The frequency of note C, f(C) = 262 Hz
The ratio of the frequency of G to C, r = frequency of G/frequency of C
r = f(G)/f(C)
r = 392/262
r = 1.496 approximately r = 1.5
Hence,
The ratio of the frequency of G to C is 1.5
To learn more about frequency, click:
https://brainly.com/question/30333783
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PLZ HELP I WILL MARK BRAINIEST (26+4) divided by 6 = w
Answers
Answer:
w = 5
Step-by-step explanation:
(26+4)=30, and 30/6=5, therefore, w = 5.
so (26+4) = 30
and 30/6=5
so the answer is w=5
Please help me!
Will give brainlst :)
Answers
x = 8 & y = 5
5(8) - 4(5) = 20
40 - 20 = 20
20 = 20
3(5) = 2(8) + 1
15 = 16 + 1
15 = 17
As you can tell the first equation makes sense so that is the solution.
what is the slope of this graph
Answers
Answer:
1
Step-by-step explanation:
Trust
Which equation can be used to find X, the length of the hypotenuse of the right triangle?
Answers
In that picture your legs will be 63 and 16 (aka a and b) ,so just input it and you’ll get c^2. In your case it’s x, so it will look like:
ANSWER:
63^2 + 16^2 = x^2
(last answer choice)
If a car moves 12 km North,19 km east, and 12 km south, what is its displacement
Answers
Answer:
19 km east
Step-by-step explanation:
By going North 12 then south 12 the two cancel eachother out leaving only the eastern movement
Answer:
19 km, East
Step-by-step explanation:
I hope you get it right
ls Figure A'B'C'D' a translation of Figure ABCD? (Click in the picture to see the rest
Answers
Answer:D
Step-by-step explanation: It is none of them because it is translated up one unit and then reflected across the y axis.
50 POINT I NEED HELP BAD
Answers
Answer:
k = 4
Step-by-step explanation:
7k - 6 = 2k + 14
(7k - 2k) - 6 = (2k - 2k) + 14
5k - 6 = 14
5k (- 6 + 6) = 14 + 6
5k = 20
5k/5 = 20/5
k = 4
I need an answer quick!!!
Answers
Answer:
0.34
Step-by-step explanation:
it is between 0.3 and 0.4 so obviously 0.3 is going to be there, but the next digit will be 4 because it moves 4 places to the right.
Answer:
The answer is .34
When you see a question like this you just go down to the next decimal place. In this example you count: .31, .32, .33, .34... and so on.
. Mrs. Khan makes cookies for the school bake sale. She uses the equation c = 0.75x to determine the cost, c, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale?
A. 75 cookies per dollar
B. (0,0), (3, 2.25), (6, 4.25), (8,6.5)
c. 3/4 cookie per dollar
D. (0,0), (2, 1.5) (5, 3.75), (7,5.25)
Answers
Answer:
The answer is D.
Step-by-step explanation:
There were 35 children and 10 adults at a cookout. What is the ratio of adults to children at the cookout?
Answers
Answer:
2:7
Step-by-step explanation:
10:35 can also be written as 2:7
Thenks and mark me brainliest :))
out of 20 consecuative whole number two are chsen at random.then the probability that ther?
Answers
Answer:
2/20
Step-by-step explanation:
since,there are 20 whole number and if u put 2 random number the,
probability(P)=favorable outcome/possible outcome
so p=2/20
Thank You
The area of a rectangle is 77ft, and the length of the rectangle is 3 more than twice the width. Find the dimensions of the rectangle.
Answers
Answer:
W = 11/2, L = 14 sq ft
Step-by-step explanation:
Area = 77ft
L = length, W = width
L = 3 + 2W
L * W = 77
Plug W in to find the L
I need the answer fast psl
Answers
Answer:
I think Ordered Pair
Step-by-step explanation:
Find the value of x by using the exterior angle theorem.
Answers
Answer:
The first choice (12)
Step-by-step explanation:
i'm not 100% what the theory is but here is how I did it:
the angle D and 115% are supplementary which means they add up to 180.
115+x=180
x=65
so now that you know all the angle measures, you also know that all angles of a triangle add up to 180.
65+3x+19+5x=180
combine like terms:
8x+84=180
subtract 84 from both sides:
8x=96
divide by 8 on both sides
x=12
solve for x. label the sides adj, opp, and/or hyp based on the part you see. show work round to the nearest 10th
Answers
Answer:
[tex]x=37.4[/tex]
Step-by-step explanation:
In an right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse (a/h).
Therefore, we have the following equation:
[tex]\cos 68^{\circ}=\frac{14}{x},\\x=\frac{14}{\cos 68^{\circ}}\approx\boxed{37.4}[/tex]
Please answer both!!
Answers
(3x-4)^2=0
3x-4=0
3x=4
x=4/3
28. 9x^2-30x+26=1
9x^2-30x+26-1=0
9x^2-30x+25=0
(3x-5)^2=0
3x-5=0
3x=5
x=5/3
Once again, consider the data for Fred's caloric intake. 2000 2200 2100 2400 2500 1900 2200 2200 2700 2600 Find the : (enter your answers as numbers) Sample standard deviation (rounded to the nearest hundredth)
Answers
Answer:
The sample standard deviation is of 248.19.
Step-by-step explanation:
First we find the sample mean, which is needed to find the sample standard deviation.
Sample mean:
Sum of all values in the sample, divided by the number of values. So
[tex]M = \frac{2000+2200+2100+2400+2500+1900+2200+2200+2700+2600}{10} = 2280[/tex]
Sample standard deviation:
Square root of the sum of the difference squared between each value and the mean, divided by the number of values. So:
[tex]S = \sqrt{\frac{(2000-2280)^2+(2200-2280)^2+(2100-2280)^2+(2400-2280)^2+(2500-2280)^2+(1900-2280)^2+...}{10}} = 248.19[/tex]
The sample standard deviation is of 248.19.
If right I’ll mark brainiest if u have questions put it in the comments
Answers
Answer:
6
Step-by-step explanation:
The interquartile range is calculated by subtracting the first quartile from the third quartile. Box and whisker plots make it pretty easy to find the quartiles. The first quartile is the point where the box starts, and the third is where the box ends. The second is the median/line in the middle of the box.
So for that first box plot on the top, the first quartile is 7, because that's where the box begins. The third quartile is 22 because it's where the box ends.
For the second one, the first quartile is 8 and the third is 17.
To find the interquartile range of each, subtract the first quartile from the third. 22-7 = 15 and 17-8 = 9.
Now to find the difference in the interquartile ranges, subtract 9 from 15. You get 6, so that is the answer :)
Type the correct answer in each box.
Consider the table modeling function f.
-2
-1
0
1
2
-28
-9
-2
-1
0
Complete the table modeling the inverse of function f.
-1
0
4–1()
-2
0
Answers
The screenshot is the correct answers
The table modeling the inverse of function f is,
[tex]x[/tex] [tex]f^{-1}(x)[/tex]
-28 -2
-9 -1
-2 0
-1 1
0 2
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?"A function g is the inverse of a function f if whenever y = f(x) then x = g(y)"
For given question,
We have been given a table modeling function f.
x f(x)
-2 -28
-1 -9
0 -2
1 -1
2 0
We need to complete the table modeling the inverse of function f.
We know that the inverse of function y = f(x) is [tex]x=f^{-1}(y)[/tex]
For given function f(x), we find inverse of f(x)
[tex]x[/tex] [tex]f^{-1}(x)[/tex]
-28 -2
-9 -1
-2 0
-1 1
0 2
Learn more about the inverse of function here:
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Directions: Solve for the surface area of the following figures using the formula.
no links pls. i really need it T-T
Answers
Answer:
3^3 x 3.14
9 x 3.14 = 28.26
28.26 x 2 = 56.52
2 x 3.14 x 3 = 18.84
18.84 x 10 = 188.4
Now lets add all given areas:
56.52 + 188.4 = 244.92 m^2 for question 1
4 x 3.14 x 12^2
4 x 3.14 x 144 = 1,808.64 cm^2 is your answer for question 2
14^2 x 3.14
196 x 3.14 = 615.44
3.14 x 14 x 33 = 1450.68
1450.68 + 615.44 = 2,066.12 cm^2 is your answer for question 3 I think
Can someone help me or explain how to find the missing value from the simple interest?
Answers
Suppose you have two rectangular prism with dimensions 2 feet by 3 feet by 5 feet. You want to join prisms together to form a larger rectangular prism. Which faces should you join if you want to make a prism with the least possible surface area?
Answers
Answer:
Below in bold.
Step-by-step explanation:
You would join the faces with the greatest area
That is the faces with dimensions 3 feet by 5 feet.
HELP!! 10 MIN REMAINING.
How can scientists use a seismograph to determine the density and depth of earths layers.
Answers
Answer:
Scientists can tell by observing the seismic waves that are recorded all over the surface of the earth from distant earthquakes. The seismic waves are reflected (bounced off) layers of different density, and they are refracted (bent) when they enter layers of different density.
Answer:
here now you can give her brainliest
Step-by-step explanation: