What is the area of the trapezoid shown? Express your answer in simplest exact form. [asy] unitsize(1.5cm); pair a=(0,0); pair b=(1,sqrt(3)); pair c=(3,sqrt(3)); pair d=(4,0); draw(a--b--c--d--a); label("2",(a+b)/2,NW); label("2",(b+c)/2,N); label("2",(c+d)/2,NE); label("~$60^\circ$",a,NE); label("$60^\circ$~",d,NW); [/asy]
Answers
The area of the trapezium shown is 284.31 in²
What is an equation?An equation is an expression that shows the relationship between variables and numbers.
The area is calculated for a two dimensional shape. It shows the amount of space occupied for that shape.
The area of a trapezium is given by:
Area = (1/2)(sum of parallel sides) * height
For the trapezium shown, the parallel sides have a measure of 17 inches and 31 inches respectively. The height is 11.7 inches, hence:
Area = (1/2)(17 + 31.6)(11.7) = 284.31 in²
The area is 284.31 in²
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![What Is The Area Of The Trapezoid Shown? Express Your Answer In Simplest Exact Form. [asy] Unitsize(1.5cm);](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/eKdq2lwgnq4IXAu6FxSNqBSqTGljHuLF.jpeg)
Related Questions
2(2b+2cd)
(2+b) (2a+7)
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Step-by-step explanation:
The answer to the first one is: 4cd+4b.
The answer to the second one is: 2ab+4a+7b+14
(I'm assuming that you want to simplify)
Will mark brainliest for whoever answers correctly
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Step-by-step explanation:
r = 3 √ 3V / 4π
is the correct answer of this question .
Can you write a 5 sentence summary about the substitution method?
Answers
Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
Step-by-step explanation:
The cost of a car rental is $30 per day plus 23 cents per mile. you are on a daily budget of $76 . You can drive at most how many miles per day
Answers
Answer:
200 miles
Step-by-step explanation:
y=0.23x+30
76=0.23x+30
46=0.23x
x=200
The price of a plain bowl plus the price
of
extra ingredients equals $
Answers
Answer:3,13
Step-by-step explanation:the price of the bowl is 10$ then you add 3 extra ingredients for a dollar each 10+3=13
Answer:
3,13
Step-by-step explanation:
In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the mints?
Answers
Answer:
Step-by-step explanation:
we will set up two equations:
let c be candy
let m be mints
3c+2m=10.80
c+3m=5.35, c=5.35-3m
3(5.35-3m)+2p=10.80
c=3.10
m=0.75
Let x be the cost of candy per pound and y be the cost of mint per pound.
[tex]\left \{ {{3x + 2y = 10.80} \atop {{x + 3y = 5.35}} \right.[/tex]
Rewrite the second equation for substitution:
x = 5.35 - 3y
Substitute the equation above into the first equation:
3(5.35 - 3y) + 2y = 10.80
16.05 - 9y + 2y = 10.80
-7y = -5.25
7y = 5.25
y = 0.75
∴ The price of mint per pound is $0.75.
Alfredo's bank charges an $8 service fee each month if his account goes below $500. In June, Alfredo had $510 in his account. He withdrew $25 and then did not have any transactions in his account for 6 months. a. Write as an integer the amount by which Alfredo's bank balance changed during the six months.
Answers
Answer:
$48
Step-by-step explanation:
Given that he is charged $8 service fee each month if his account goes below $500. If he has $510 and withdraws $25 the amount in account would be
= $510 - $25
= $485
This is below $500 hence he will be charged $8
Since he did not have any transactions in his account for 6 months, the change in his account as a result of the monthly charge
= 6 * $8
= $48
When asked to write the prime factorization of 175, a student wrote 7 dotmath 25. Complete the explanation of the error and enter the correct answer.
Answers
Answer:
175 = 7·5·5
Step-by-step explanation:
A student asked to write a prime factorization of 175. He wrote 7·25
The prime factorization of 175 will be given by :
[tex]175=7\times 5\times 5[/tex]
It means, he has written it wrong as 7·25. It should be 7·5·5.
Hence, this is the required solution.
Answer:
175 = 7·5·5
Step-by-step explanation:
A student asked to write a prime factorization of 175. He wrote 7·25
The prime factorization of 175 will be given by :
It means, he has written it wrong as 7·25. It should be 7·5·5.
Hence, this is the required solution.
A population of 30 sasquatch is released in a wildlife region. The population doubles each year for 4 years. What is the population after 4 years?
Answers
Answer:
480 sasquatch
Step-by-step explanation:
Year one: 30 x 2 = 60 sasquatch
Year two: 60 x 2 = 120 sasquatch
Year three: 120 x 2 = 240 sasquatch
Year four: 240 x 2 = 480 sasquatch
Answer:
480
Step-by-step explanation
Frank wants to eliminate the variable y from
the system below by adding.
(7x - y = 8
12x + 2y = 6
First, he will have to multiply one of the
equations by a number. Which step will enable
him to eliminate y by adding?
Multiply each term in 2x +2y=6 by 3.
Multiply each term in 7x - y = 8 by-3.
ОА
OB
Multiply each term in 2x + 2y = 6 by-3.
Multiply each term in 7x - y = 8 by 3
07:23
Answers
Answer:
84 x is your answer right answer right
The range for the set of data represented by the following box-and-whisker plot is 8.
Answers
Answer:
TrueStep-by-step explanation:
The range is the difference between the lowest and the highest values of the set:
19 - 11 = 8The answer is TRUE
Answer:
true
Step-by-step explanation:
how much is 28 yards in feet
Answers
Answer:
The correct answer is 84 feet.
Step-by-step explanation:
Each yard is 3 feet so then 3 times 28 equals 84.
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Brainliest????
The graph shows thar video sales at Bart's are nost often.
a- more than 400
b- less than 300
c- less than 100
d- more than 300
Answers
Answer:
The answer is b
Less than 300
3/4÷5 y multiplica el resultado por 4
Answers
Answer:
[tex]0.6[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} / 5 = 0.15[/tex]
[tex]0.15[/tex] x [tex]4[/tex] = [tex]0.6[/tex]
Hope I helped! Check out my profile for more answers!
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Help Please is the answer zero? I’m not good with algebra
Answers
Answer:
should be 0 because it isnt increasing or decreasing
The moving of the orientation or position of an angle changes the measurement of the angle. True or false
Answers
Answer:
the correct answer is true
Answer:
I believe this is true!
Hope that helps!
Write the ratio 1/4 km 2/3 km in the simplest form
Answers
Step-by-step explanation:
the ratio is given above
Step-by-step explanation:
the ratio is given above
A bowling ball travels along the lane at a constant rate. The ball travels ⅟₁₀ of the length of the lane in ¼ seconds. At that rate, how many seconds does it take the ball to travel the entire length of the lane?
Answers
Answer:
2 1/2 seconds
Step-by-step explanation:
10×1/4=10/4=21/2 seconds
9^6 * 9^3 =
Give the answer in exponent form
Answers
Step-by-step explanation:
1,983593e11
Answer:
9^18
Step-by-step explanation:
Since the bases are the same digit, all you have to do is multiply the exponents to get your answer
(3x +7x² + 2x + 3) + (x + 1)
Answers
Answer:
=7x2+6x+4
Step-by-step explanation:
3x+7x2+2x+3+x+1
Combine Like Terms:
=3x+7x2+2x+3+x+1
=(7x2)+(3x+2x+x)+(3+1)
=7x2+6x+4
Answer:
=7x2+6x+4
[tex]tan(0)=\frac{5\sqrt{20} }{11}[/tex]
Answers
Answer:
0.035°
Step-by-step explanation:
We need to find the value of [tex]\theta[/tex] for the given expression. So,
[tex]\tan\theta=\dfrac{5\sqrt{20}}{11}[/tex]
or
[tex]\theta=\tan^{-1}\tan\left(\frac{5\sqrt{20}}{11}\right)\\\\=-2.0083\ radian[/tex]
Or we can write as :
[tex]\theta=0.035^{\circ}[/tex]
So, the value of [tex]\theta[/tex] is equal to 0.035°.
Mason’s mom bought g games online. The games cost $12 each plus a $7 shipping fee.write an equation.
Answers
Answer:
f(x) = 12x + 7
Step-by-step explanation:
easy
Answer:
12g + 7 = total price
Step-by-step explanation:
Solve the following system of equations
3x-3y=4
-3x+3y=3
Answers
Answer:
Step-by-step explanation:
1. Elimination
2. zero solutions
0 ≠ 7
126=i/6 what operation would I use and how would I solve it
Answers
Answer: Multiply 6 by 126 which gives 756
Step-by-step explanation: Picture it like a triangle. i is over six so it's going to by at the top of the triangle. This leaves one empty space where 126 goes. This method makes it easier for me when dealing with a question like this. The two numbers that multiply together will always go at the bottom while the numerator of the fraction (i in this case) will be at the top.
Answer: I=756
Step-by-step explanation: hope this help :D
Let's solve your equation step-by-step.
126=i/6
Step 1: Multiply both sides by 6.
126=i/6
(126)*(6)=(i/6)*(6)
756=i
Step 2: Flip the equation.
i=756
Answer:i=756
Choose all the ways the ratio of five girls to 9 boys can be written. the options are
9:5
9 to 5
5:9
5 to 9
5/9
9/5 i need helppp im so confused.
Answers
Answer:
5/9
5 to 9
5:9
hope this helps <3
Answer:
5/9,
5:9,
and 5 to 9
Hello
I have to write at least 20 words to say hi.
Answers
I have to write at least 20 words to say hello.
Help me please :)....
Answers
Answer:
a = 6, b = 12, c = 18, d = 12
Step-by-step explanation:
find the quotient. -105/15=
Answers
Answer:
-7
Step-by-step explanation:
Hope this helped! :)
so the answer is -7
Which function is a shrink of the exponential growth function shown on the graph?
A.f(x) = 2(3)x
B.f(x) = One-half(3)x
C.f(x) = 2(one-third) Superscript x
D.f(x) = One-half (one-third) Superscript x
Answers
Answer:
B
Step-by-step explanation:according to my calculations it’s b
The solution is, Option B. f(x) = One-half(3)x.
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
here, we have,
from the given graph we get,
The function in the graph is an exponential growth function.
Therefore its equation is g(x)= 3^x
A transformation that shrinks this graph is of the form: f(x)= k* 3^x, where
0<k<1
From the given options, we must have
k=1/2
This implies that:
f(x)= 1/2 * 3^x.
Hence, The solution is, Option B. f(x) = One-half(3)x.
To learn more on exponent number click:
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what are the different methods in finding the LCM
Answers
Answer:
4 methods are there
Step-by-step explanation:
Find the prime factorization of each number.Write each number as a product of primes, matching primes vertically when possible.Bring down the primes in each column.Multiply the factors to get the LCM.please mark me as brainlist