The area of a trapezoid is 65mm2, the top is
9mm long, the height is 11mm long.
Find the base of the trapezoid.
Answers
Answer:
[tex]2.\bar{81}mm[/tex]
Step-by-step explanation:
First the formula for find the are of a trapezoid is:
[tex]A = \frac{h(a+b)}{2}[/tex]
Where [tex]a[/tex] is the top, [tex]h[/tex] the height and [tex]b[/tex] the base measures.
Then we need to know what is the base ([tex]b[/tex]), for that isolate [tex]b[/tex] from the equation
[tex]2A = h(a+b)\\\frac{2A}{h} = a+b\\\frac{2A}{h} - a = b[/tex]
Then in the new equation replace the given values:
[tex]A = 65mm^2\\a = 9mm\\h = 11mm[/tex]
[tex]\frac{2 \cdot 65mm^2}{11mm} -9mm = b\\\frac{130mm^2}{11mm} -9mm = b\\11.\bar{81}mm -9mm = b\\2.\bar{81}mm = b[/tex]
So the final answer is [tex]2.\bar{81}mm[/tex]
Related Questions
John bought a full 1 liter bottle of soda. He drank half of it. How many milliliters of soda does John have left?
Answers
Answer:
500 ml
Step-by-step explanation:
1 liter = 1 000 ml
1 / 2 liters = 1000 ml /2 = 500 ml
1000ml - 500 ml = 500 ml
1 1/3 x 1 2/3 please help
Answers
Answer:
_
6.1
Step-by-step explanation:
_
11/3 * 5/3 = 11·5/3·3 = 55/9 = 6.1
I'll mark brainliest if your right! please help me!!!!
Answers
Answer:
its 3 and 5
Step-by-step explanation:
i know this because i took the quiz and its simple
13
n is a positive whole number.
(a) What type of positive whole number is 2n - 1?
(1)
(6) Write down an expression for the nth multiple of 5
(1)
Alan has 4 boxes of cakes.
There is the same number of cakes in each box.
Alan has a total of t cakes.
(c) Write down an expression, in terms of t, for the number of cakes in each box.
(1)
Answers
Answer:
use the Microsoft world language to define noun phrases and figure of speech
solve 3/4x-5=x
Give your answer correct to 2 decimal places
Answers
Answer:
x=1.69 or x=-0.44
Step-by-step explanation:
1) multiply both sides by 4x-5 to give 3=x(4x-5)
expand this ------>3=4x^2 - 5x
2) bring the 3 on the other side by subtracting 3
4x^2 - 5x - 3 = 0
3)use quadratic formula where a is 4, b is -5 and c is -3
[tex] \frac{ - b + or \: - \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
[tex] \frac{ - ( - 5) + \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = \: 1.69[/tex]
[tex] \frac{ - ( - 5) - \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = - 0.44[/tex]
The value of x in the equation 3 / 4x - 5 = x is -20.
What is the equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
3 / 4x - 5 = x
Solve the above equation as shown below,
x = 3 / 4x - 5
x - 3 / 4 x = -5 (Transform the variable on the left side and constant on the right side)
4x - 3x / 4 = -5
x / 4 = -5
x = 4 × (-5)
x = -20
Thus, the value of x is -20.
To know more about equation:
https://brainly.com/question/12788590
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Complete the puzzle so that each row, column, and diagonal adds up to the same total.
Answers
Answer:
0 , 5
-1 , 1
-3
Step-by-step explanation:
Each row, column and diagonal adds up to 3 because of the column on the right.
The bottom row must add up to 3, so the blank there is -3.
The diagonal from the bottom left corner to the upper right corner also must add up to 3, so the blank in the middle is 1.
The column in the middle must add up to 3, so the blank at the top is 5.
The top row also must equal to 3, so the blank on the left is 0.
The left column also must equal to 3, so the last blank left is -1.
Which expressions are equivalent to - 8z +(-5.5) + 1.5z + 3y - 2.5?
Select all that apply.
A. -8 + 3y +6.52
ОВ. Зу- 8 - 6.5z
C.-6.52 + 3y - 8
D. -8 + 3y + (-6.52)
E. 3y + (-6.52) -5.5
Answers
Answer:
B
Step-by-step explanation:
-8z - 5.5 + 1.5z + 3y - 2.5
-6.5z + 3y - 8
For this question, I'd want some assistance. Thank you very much. Have a wonderful day!
Answers
Answer:
can u take pic again?
Step-by-step explanation:
a(-3)=5 What will a equal
Answers
Answer:
a = - 5/3
Step-by-step explanation:
Tahap risiko unit amanah?
Answers
Step-by-step explanation:
Tahap risiko unit amanah?
Which graph represents x ≥ 2?
Answers
Answer:
...
Step-by-step explanation:
Thank you to anyone who can help!!
Answers
Answer:
Pentagon (the 5 sided shape) = 1
Cross-looking shape = 6
Star = 8
Square/Rectangle = 5
Hope this helps!
A triangle has two sides of length 7.2 and 11.6. What compound inequality describes the possible lengths for the third side, x?
Write a compound inequality like 1
Answers
Answer:
4.4 < x < 18.8
Step-by-step explanation:
11.6 - 7.2 = 4.4
11.6 + 7.2 =18.8
for what value of the variable will the expression 8b-27
-11
Answers
Answer:
b=2
Step-by-step explanation:
HELP PLSSSSS TY
Health Club Fees You are choosing between two health clubs. Club A offers membership for a fee of $14 plus a monthly fee of $29. Club B offers membership for a fee of $28 plus a monthly fee of $22. After how many months will the total cost of each health club be the same?
Answers
Answer:
2 months
Step-by-step explanation:
To solve this equation create an expression for the cost of each club. Use the slope-intercept form of y=mx+b where m is the monthly fee and b is the flat fee. So the 2 expressions would be A) 29x+14 and B) 22x+28. Since we want to find when these are equal, set the expressions equal to each other. This gives the equation 29x+14=22x+28. Then, solve for x.
29x+14=22x+287x+14=287x=14x=2When solved, x=2. This means that after 2 months the cost of each will be the same.
b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).
Answers
Answer:
y = 2x + 13 or -2x + y = 13
Step-by-step explanation:
1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...
2y = -x + 6 - > y = -1/2x + 3
2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...
y = 2x + b
3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)
3 = 2(8) + b
3 = 16 + b
-13 = b
b = 13
4) Now, we know that b = 13 and the slope is 2. Therefore...
y = 2x + 13
Also note, if you want this equation in standard form, it would be...
-2x + y = 13
2H20 1) How many hydrogen atoms are represented by this much water? A) 1 B) 2 0.4 D) 6
Answers
2 hydrogen atom in the water molecule
H2O
A simple random sample of 40 salaries of NCAA football coaches has a mean of $415,953. Assume that σ = $463,364. Construct a 95% confidence interval estimate of the mean salary of an NCAA football coach.
$346,352 < μ < $485,554
$295,433 < μ < $536,473
$272,355 < μ < $559,551
$415,952 < μ < $415,954
Answers
Answer:
ci = [271,953 , 559,953]
Step-by-step explanation:
x = mean: $415953
z = 95% : z value of 95% is 1.960
s = standard deviation = $463364
n = number of observations: 40
X +- Z * S/sqrt N
415953 + - 1.96 * 463364/sqrt40
= 415953 + - 144000
[271,953 , 559,953]
Answer:
$272,355 <μ< $559,551
Step-by-step explanation:
Gradpoint
Hey if someone can help me I'd appreciate it please show your work.
Answers
Answer:
Step-by-step explanation:
Umm what is your question u did not add it?
What is the y-coordinate of the y-intercept of function d(x) ? y=-8(X-(5/2) (X+3)
Answers
Answer:
(0,60)
Step-by-step explanation:
I hope I plugged in your equation the right way as you typed it, but this is where the line meets the y coordinate, (0,60)
MODELING REAL LIFE You have $9.25. How many games can you bowl if you rent bowling shoes?
Answers
Answer:
For starters how much does it cost to rent out the shoes
2nd of all how much does it cost too play each game ??
Step-by-step explanation:
ill answer just gimme the info pls
find the area of the largest square that can be cut from a circle of radius 18
Answers
Answer:
approx 161.3 square units
Step-by-step explanation:
the circle can contain 4 isosceles triangles with legs equal to 9 and hypotenuse equal to approximately 12.7
these four triangles would produce a square with sides of 12.7 units
so area would be 12.7² or approx 161.3 square units
Heyy , help me do this please and thank you?:
Answers
Answer: 18 fliers
Step-by-step explanation:
1/3 of 63 is 21. Thus, the remaining fliers are 42.
4/7 of 42 is 24. Thus, the remaining fliers are now 18.
Hope it helps :)
In 1855, Louis Remme traveled from Sacramento, California, to Portland, Oregon, stopping to rest for only 10
hours of the 143 hours it took him to reach Portland. If his average speed while traveling without resting was 5
miles per hour, how many miles did Louis Remme travel?
A 665
B 705
C 715
D 765
Answers
Answer:
A. 665 milesStep-by-step explanation:
Time in travel:
143 - 10 = 133 hrsAverage speed is 5 mph
Distance travelled:
d = std = 5*133 = 665 milesCorrect choice is A
Total time taken
143-10133hrsDistance
Speed×Time133(5)665miOption A
The nth term of a sequence is 3n² Work out the value of the 15th term.
Answers
Answer:
a₁₅ = 675
Step-by-step explanation:
Substitute n = 15 into the nth term formula
a₁₅ = 3(15)² = 3 × 225 = 675
Boris buys a car for $23,000. The value of this car reduces by 8% each year. Find the number of complete years it takes for the value of the car to fall below $11,500.
Answers
Answer:
2 years
Step-by-step explanation:
casue if you multilpy 2 x 11,500 you get 23,000
Help meeeeeeeeeeee PLS ASAP
Answers
Answer:
A
Step-by-step explanation:
Answer:
angle 1 and angle 5
Step-by-step explanation:
PART C
What should the height of a can of fruit juice used as a prop be if its actual
height is 7 inches? Show your work.
Answers
Answer:
15 in i am guessing
Step-by-step explanation:
i need to know the height of the can first
The height of a can of fruit juice used as a prop, if its actual height is 7 inches, should be of 3.85 inches.
What is a proportional relationship?A proportional relationship is a linear function that has an intercept of zero and hence it has the output variable y as the multiplication of the input variable x and the constant of proportionality k, as follows:y = kx.
Given that, the input and the output variables in this problem are as follows:
Input variable: Actual height = 80 in
Output variable: Height on set = 44 in
k = 44/80
k = 0.55.
Therefore, the equation is:
y = 0.55x.
Then the height on the set when the actual height is of 7 inches is given by:
y = 0.55(7) = 3.85 inches.
More can be learned about proportional relationships at brainly.com/question/10424180
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Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)
Answers
what is the value of a rectangular prism with a length of 2x, a width of x-2, and a height of x+2?
Answers
Answer:
what do you mean by x?
Step-by-step explanation: