To rearrange the formula for the area of a trapezoid to solve for the height, divide both sides of the equation by (b+c)/2. The rearranged formula is h = 2A/(b+c).
Explanation:The formula for the area of a trapezoid is given by A= 1/2(b+c)h, where A is the area, h is the height, and b and c are the lengths of the two bases. To rearrange this formula to solve for h (the height), you need to isolate h on one side of the equation. The rearranged formula would look as follows: h = 2A/(b+c).
To obtain this, we divided both sides of the equation by (b+c)/2. This gives us a new formula to find the height of the trapezoid given the area and the lengths of the two bases.
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Find the mean of the integers 5, -15, 7, -13, 1
A mean is an arithmetic average of a set of observations. The mean of the integers 5, -15, 7, -13, 1 is -3.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
The mean of the given integers can be written as,
Mean = Sum of observations/Number of observations
= [5 + (-15) + 7 + (-13) + 1]/5
= (5 - 15 + 7 - 13 + 1) / 5
= -15/5
= -3
Hence, the mean of the integers 5, -15, 7, -13, 1 is -3.
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What is the answer to Violet has 11 rolls of pennies there are 50 pennies in each roll how many pennies does violet have all together
One of the performers at the circus is Zachary, the Human Cannonball. On Saturday he does three shows. His distances measure 9.2 meters, 15.5 meters, and 16.8 meters. What is the total distance Zachary flies that day?
Adam is scuba diving he descends 5 feet below sea level he descends the same distance 4 more times what is Adams final elevation
The rectangle below has an area of x^2-144 square meters and a length of x+12 meters. What expression represents the width of the rectangle?
The expression for the width of the rectangle is W = ( x - 12 )
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
We can use the formula for the area of a rectangle to find an expression for its width:
Area = length × width
The length of the rectangle is given as x + 12 meters, and the area is given as x² - 144 square meters.
We can substitute these values into the formula and solve for the width:
x² - 144 = (x + 12) × width
To solve for the width, we can divide both sides of the equation by x + 12:
width , W = (x² - 144) / (x + 12)
W = ( x + 12 ) ( x - 12 ) / ( x + 12 )
W = ( x - 12 )
Hence , the expression that represents the width of the rectangle is given by W = (x² - 144) / (x + 12) = ( x - 12 )
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Which graph represents the solution set of the system of inequalities? {y≤2x+1y>−2x−3
we have
[tex]y\leq 2x+1[/tex] ------> inequality A
The solution of the inequality A is the shaded area below the solid red line
see the attached figure N [tex]1[/tex]
[tex]y>-2x-3[/tex] ------> inequality B
The solution of the inequality B is the shaded area above the dotted blue line
see the attached figure N [tex]2[/tex]
therefore
The solution of the system of inequalities is the shaded area between the solid red line and the dotted blue line
see the attached figure N [tex]3[/tex]
therefore
the answer in the attached figure N [tex]3[/tex]
To find a baseball pitcher's earned run average (ERA), you can use the formula Ei = 9r, in which E represents ERA, i represents the number of innings pitched, and r represents the number of earned runs allowed. Solve the equation for E. What is a pitcher's ERA if he allows 25 earned runs in 54 innings pitched? If necessary, round your answer to the nearest hundredth. The equation for E is E = . If a pitcher allows 25 earned runs in 54 innings, then the ERA = .
Answer: ERA = 4.17
Step-by-step explanation:
1. First, you need to identify the data you get from the sentence.
Earned runs: 25 (r)
Innings pitched: 54 (i)
Earned runs average: ? (ERA/E)
2. Replace your data in the formula.
Ei = 9r
E(54) = 9(25)
3. Solve the operations.
E(54) = 225
4. Now we use the transposing method to find E (ERA). 54 is
multiplying E, so it's going to move to the other side of the
equation dividing like this.
E(54) = 225 ⇒ E = 225/54
5. Calculate the result for E.
E = 4.1666666667
6. Finally, we round our answer.
E = 4.17
So, the earned runs average (ERA) is 4.17.
Jared sells square frames of various sizes made of wood. To find the area of a frame, Jared uses the formula A = s^2 - (s - 2w)^2, where s is the length of a side of the frame and w is the width of the frame.
Part B.) Find the area of a frame that measures 20 inches on each side and has a width of 3 inches
Part C.) Jared charges 18 cents per square inch for his frames. How much will he charge for a frame that measures 16 inches on each side and has a width of 2 inches?
Answer:
B.204 square inches
C.2016 cents
Step-by-step explanation:
We are given that Jared sells square frames of various sizes made of wood .To find the area of a frame ,Jared uses the formula
[tex]A=s^2-(s-2w)^2[/tex]
Where s=Length of a side of the frame
w=Width of the frame
B.We are given that length of each side=s=20 inches
Width of frame=w=3 inches
Substitute the values in the above given formula
Then, we get
A=[tex](20)^2-(20-2\times 3)^2[/tex]
[tex]A=400-(20-6)^2[/tex]
[tex]A=400-196=204 [/tex]square inches
Hence, area of frame=204 square inches
C.We are given that
Cost of 1 square inch=18 cents
Length of each side of frame=s=16 inches
Width of frame=w=2 inches
Substitute the values in the given above formula
Then ,we get [tex]A=(16)^2-(16-2\times 2)^2[/tex]
[tex]A=256-(12)^2[/tex]
[tex]A=256-144=112[/tex] square inches
Cost of 112 square inches=[tex]112\times18[/tex]=2016 cents
Hence, he will charge for a frame =2016 cents
6.54 x 10 to the 7th power in standard notation
I NEED HELP WILL GIVE BRAINLIEST PLZZZ DON'T GET ME WRONG!
Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?
S. −(2.1−5.9)+(−3.7)
T. (2.1+5.9+3.7)
F. −2.1−(5.9+3.7)
U. (2.1+5.9)+(−3.7)
Given x is less than y compare the following expressions and determine which is greater 2 x - y or 2y - x explain your answer
what are the steps to get the answer
-1/4 x 2/7
multiply the 2 top numbers and then multiply the 2 bottom numbers
1*2 = 2+4*7 =28
so answer is -2/28 which can reduce to - 1/14
could negative 2 be used as a base to rewrite 32 and 64 why or why not
whats the value of 3 in .036
Is there a difference between (-1)^2 vs. -1^2 ?
115 students are going on a field trip. How many buses do they need if each bus holds 30?
Question 2 options:
3
4
5
6
26=8+v show your work in one step
6+(w−10)=5 please show work!!!!!!!!!!!!!
6.51−9.32+h=1.02
2/3+y−1/9=7/9
2 1/2x−3/4(2x+5)=3/8
0.9(x+1.4)−2.3+0.1x=1.6
i dont know the others but i know the second one is 3.83
6.51−9.32+h=1.02
6.51-9.32+h+9.32=1.02+9.32
6.51+h-6.51=10.34-6.51
h=3.83
How does 0.008 compare to 0.08
Rudy has $200 to spend on presents for his family. If there are 6 people to buy for, and he wants to spend an equal amount on each, how much money will he have LEFT after he shops?
A)
$0.02
Eliminate
B)
$0.10
C)
$1.00
D)
$199.98
E)
$33.33
Which umber is greater? Square root of 220 or 14 3/4?
The number square root of 220 is greater than that of 14 3/4.
Given are two numbers.
The square root of 220 and 14 3/4.
We have to find which number is greater.
We know that :
14 3/4 = 14 + 3/4 = 14.75
Now,
14² = 196
15² = 225
So the number 220 lies between 196 and 225.
So √220 lies between 14 and 15.
Since 220 is closest to 225 which is the square of 15, the square root os 220 is more close to 15.
√220 ≈ 14.8
Hence √220 is greater.
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An eight-month used stereo system was sold for $255.75. This was one third (1/3) the amount of what this system originally cost. What was the original cost of this set?
Whats the answer to this?
3(2b+4)=6(5b+2)
please step by step
Which diagram shows ∠1 and ∠2 as vertical angles?
A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used. At this rate, how many cups of sugar should be used if 2 cups of bananas are used
Answer:
4 cups of sugar will be added with 2 cups of banana in the banana recipe.
Step-by-step explanation:
A recipe for banana bread requires 3 cups of banana and [tex]1\frac{1}{2}[/tex] cups of sugar.
To calculate the cups of sugar used with 2 cups of bananas we will use unitary method.
∵ [tex]\frac{3}{2}[/tex] cups of sugar is used with amount of banana = 3 cups
∴ 1 cup of sugar will be used with banana = [tex]\frac{3}{\frac{3}{2}}[/tex]
∴ 2 cups of sugar will be used with banana = [tex]\frac{2\times 3}{\frac{3}{2} }[/tex] = [tex]6\times \frac{2}{3}[/tex]
= 4 cups
Therefore, 4 cups of sugar will be added with 2 cups of banana in the banana recipe.
what is f(0)+ g(0)??
please someone help me
4x+y=2
and x-y=3
Also using transitive property
The sum of the ages of Mr and Mrs Smith and their children is 100. in 5 years time it's 130. how many children do they have
asher recently bought the poster shown at the right. What is its area? Explain your reasoning to a classmate.