One base of a trapezoid measures 12 meters, and the other base measures
8 meters. If the area is 144 square meters, what is the height of the
trapezoid?
Answers
[tex]Area=\frac{(a + b)}{2} \cdot h\\144 = \frac{(12 + 8)}{2} \cdot h\\144 = \frac{20}{2} \cdot h\\144 = 10h\\h = \frac{144}{10} = \frac{72}{5}[/tex]
h=14.4m
Using the formula
A= 12 meter
B= 8 meter
H = 14.4 m
Trapezoid
Solve for height
h=14.4m
Unit Conversion:
a=12m
b=8m
A=144m²
Using the formula
A=a+b/2h
Solving for H =
Look at picture for how to work out the last part
Related Questions
bsolute Value is the distance from
ero - whether to the right or left on a
umber line - it's the SAME distance
nd DISTANCE is always ....
Positive or negative
Answers
Answer:
The negative integers go to the left: , , , and so on. The distance between a number's place on the number line and is called the number's absolute value The absolute value of a number is its distance from 0 on a number line..
Step-by-step explanation:
Negative
I hope this helps :)
4c-d for c please help!
Answers
Answer:
c=d/4
Step-by-step explanation:
we have to get c by itself...first we have to add d t the other side of the equation so
4c=d now since 4 is being multiplied by c we have to divide it out.
c=d/4
The matrix below represents the solution to a system of equations.
Which of the following describes the solution?
Answers
Answer: C
Step-by-step explanation:
I need to change the subject to x
Answers
(x - 4y) / w = 9
Multiply both sides by w
x - 4y = 9w
Add 4y to both sides
x = 9w + 4y
ca
7. Consider the equation a-3 =
What value(s) of a make the equation true?
(3)?
Answers
An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of the congruent angles. An equation is _______ = 180. Angles congruent with each measure ________
Answers
Hey there! I"m happy to help!
The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.
We subtract 138 from both sides.
2x=42
We divide both sides by 2
x=21.
Have a wonderful day! :D
1. In how many ways can a committee of eight people to be formed from a group of 6 male, 5 female and 4 students if there are no restrictions, as all members are eligible?
Answers
Answer:
The number of ways is 6435
Step-by-step explanation:
Given
[tex]Male = 6[/tex]
[tex]Female = 5[/tex]
[tex]Students = 4[/tex]
Required
Number of ways a group of 8 can be formed
Here, I'll assume each category of people are distinct:
Hence;
[tex]Total = Male + Female + Students[/tex]
[tex]Total = 6 + 5 + 4[/tex]
[tex]Total = 15[/tex]
Number of ways is then calculated as follows:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
Where
[tex]n = 15\ and\ r = 8[/tex]
So, we have:
[tex]^{15}C_8 = \frac{15!}{(15 - 8)!8!}[/tex]
[tex]^{15}C_8 = \frac{15!}{7! * 8!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9 * 8!}{7!8!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7 * 6 *5 * 4 * 3 * 2 * 1}[/tex]
[tex]^{15}C_8 = \frac{32432400}{5040}[/tex]
[tex]^{15}C_8 = 6435[/tex]
Hence, the number of ways is 6435
What is the denominator For these problems ?
Answers
Answer:
10, 6, 6, 12, 8, 3, respectively
Step-by-step explanation:
The denominator is the bottom number in a fraction.
If -3x–7 =23 then 6x=?
Answers
Answer:
6x = -60
Step-by-step explanation:
-3x - 7 = 23
-3x = 30
x = -10
6(-10) = -60
Solve inequalities 5x>2x+6
Answers
Answer:
x>2
Step-by-step explanation:
5x>2x+6 Subtract 2x from 5x
3x>6 Divide 3 by 6
x>2
Answer:
B. April
Step-by-step explanation:
A. B. 4 x +1 x+4 =−3 =−12 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answers
Answer:
D. Multiply/divide both sides by the same non-zero constant
A. Yes
Just Did It On Khan Academy
Step-by-step explanation:
Zoo tickets for five people cost a total of $41 which equation can be to to tell me the cost see in dollars of each ticket
Answers
Answer:
41 divided by 5
$41 divided by 5 people is equal to $8.2 per person
Step-by-step explanation:
Find value of X. write answer in simplest form
Answers
Answer:
The answer is X
Step-by-step explanation:
3.) Yvonne's hourly wage is raised from $11.09 per hour to $12.35 per hour. She works 40 hours
per week. How much more does she earn per week at the new rate?
Answers
Answer: She earns 50.4 much than she did on her other pay per hour.
Step-by-step explanation: First multiply 11.09 by 40, you get 443.6, then multiply 12.35 by 40 you get 494.0, so then you subtract the two total paychecks, and that's how you get the answer 50.4, more money.
Hope this helps. :)
3193.55767741 round to the nearest thousand
Answers
Answer:
3000
Step-by-step explanation:
Rounding to the nearest thousand implies not writing any significant figure after the digit located in the column of the thousand. In this case, what you have in that column is the number 3 (which is followed by a 1 in the column of the hundreds) so you need to round the number to 3000.
If the number that followed the 3 was 5 or larger, you would have rounded it to 4000.
Answer:
3,000
Step-by-step explanation:
The answer is 3,000 because:
1) The number in the hundreds place is 1, which is less than 5. Therefore, the number in the thousands place stays the same.
2) Whenever you are rounding with decimals, you have to leave the numbers after the decimal point.
Hope this helps!
State how many solutions, 3 + 2x + 1 = 2x + 3
Answers
Answer:
Step-by-step explanation:
3 + 2x + 1 = 2x + 3
2x + 4 = 2x + 3
4 ≠ 3
no solution
Find a − b when a = −7 and b = 11.
Answers
Answer:
-18
Explanation:
a - b
a = -7
b = 11
Insert -7 for 'a' and 11 for 'b'
-7 - 11
= -18
Find an equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 2; containing the point (-8,2)
What is the equation of the line?
y=
(Type your answer in slope-intercept form.)
Answers
Y = 2x-8
Step-by-step
If g(x)=x^2+5x find the value g(-2)+2
Answers
Answer:
-4
Step-by-step explanation:
g(-2) = (-2)^2 + 5(-2)
g(-2) = 4 - 10
g(-2) = -6
and
g(-2) + 2
-6 + 2 = -4
Answer:
-4
Step-by-step explanation:
g(x)=x^2+5x
First find g(-2) by letting x=-2
g(-2) = (-2)^2 +5(-2)
= 4 -10
= -6
g(-2) +2 = -6+2 = -4
Find the Slope using the Slope Formula 1. (8.6).(2-8)
Answers
Answer: 2.3 repeating
Please mark me as Brainliest
MATH
Please heeeeeeeeeeeelp
Answers
Answer:
3.002 * 10⁵
Step-by-step explanation:
3 * 10⁵ = 3 * 10³ * 10² = 3000 *10²
3 * 10⁵ + 2* 10² = 3000 * 10² + 2*10²
= (3000 + 2) * 10²
= 3002 * 10²
= 3.002 * 10³ * 10²
= 3.002 * 10⁵
8×4-5×(3⅕-2½)+(4-1)²
Answers
Answer:
101/2
Step-by-step explanation:
Answer:
75/2
Step-by-step explanation:
Simplify the following:
8×4 - 5 (3 + 1/5 - (2 + 1/2)) + (4 - 1)^2
Put 2 + 1/2 over the common denominator 2. 2 + 1/2 = (2×2)/2 + 1/2:
8×4 - 5 (3 + 1/5 - (2×2)/2 + 1/2) + (4 - 1)^2
2×2 = 4:
8×4 - 5 (3 + 1/5 - (4/2 + 1/2)) + (4 - 1)^2
4/2 + 1/2 = (4 + 1)/2:
8×4 - 5 (3 + 1/5 - (4 + 1)/2) + (4 - 1)^2
4 + 1 = 5:
8×4 - 5 (3 + 1/5 - 5/2) + (4 - 1)^2
Put 3 + 1/5 - 5/2 over the common denominator 10. 3 + 1/5 - 5/2 = (10×3)/10 + 2/10 + (5 (-5))/10:
8×4 - 5(10×3)/10 + 2/10 + (5 (-5))/10 + (4 - 1)^2
10×3 = 30:
8×4 - 5 (30/10 + 2/10 + (5 (-5))/10) + (4 - 1)^2
5 (-5) = -25:
8×4 - 5 (30/10 + 2/10 + (-25)/10) + (4 - 1)^2
30/10 + 2/10 - 25/10 = (30 + 2 - 25)/10:
8×4 - 5(30 + 2 - 25)/10 + (4 - 1)^2
30 + 2 = 32:
8×4 - 5 (32 - 25)/10 + (4 - 1)^2
| 2 | 12
| 3 | 2
- | 2 | 5
| 0 | 7:
8×4 - 5×7/10 + (4 - 1)^2
-5×7/10 = (-5×7)/10:
8×4 + (-5×7)/10 + (4 - 1)^2
The gcd of -5 and 10 is 5, so (-5×7)/10 = ((5 (-1)) 7)/(5×2) = 5/5×(-7)/2 = (-7)/2:
8×4 + (-1×7)/2 + (4 - 1)^2
4 - 1 = 3:
8×4 - 7/2 + 3^2
8×4 = 32:
32 - 7/2 + 3^2
3^2 = 9:
32 - 7/2 + 9
Put 32 - 7/2 + 9 over the common denominator 2. 32 - 7/2 + 9 = (2×32)/2 - 7/2 + (2×9)/2:
(2×32)/2 - 7/2 + (2×9)/2
2×32 = 64:
64/2 - 7/2 + (2×9)/2
2×9 = 18:
64/2 - 7/2 + 18/2
64/2 - 7/2 + 18/2 = (64 - 7 + 18)/2:
(64 - 7 + 18)/2
| 1 |
| 6 | 4
+ | 1 | 8
| 8 | 2:
(82 - 7)/2
| 7 | 12
| 8 | 2
- | | 7
| 7 | 5:
Answer: 75/2
Find the missing number in the sequence
100, 93, 84, 73 45
Answers
Answer:
60
Step-by-step explanation:
Form on number to the other there is a difference,and the difference are all odd numbers
From 100 to 93 is 7
From 98 to 84 is 9
From 84 to 73 is 11
From 73 to 45 is 28 this shows that there is a number missing
So from 73 to x should be 13
And from x to 45 should be 15
So 73 -13=60
And 60-15=45
So x is 60
The missing number in the sequence is 60
Given the sequence 100, 93, 84, 73, ... 45
To get the next term, we need to get the common differences as shown:
7, 9, 11,... 15We can see that the common difference forms an AP, hence the missing term in the resulting sequence is 13To get the missing value, we will subtract 13 from 73.
Missing number = 73 - 13
Missing number = 60
Hence the missing number in the sequence is 60
Learn more on sequence here: https://brainly.com/question/24989563
80 + (-25) =
integers
Answers
Adding a negative is the same as subtracting a positive number.
80 + (-25)
80 - 25
= 55
Best of Luck!
8. A pizza shop charges $7.00 for a cheese pizza and $1.50 per topping. The total charge for Megan's pizza was $11.50. Write and solve on equation to determine how many toppings Megan ordered on her pizza. Variable: Equation: Solution:
Answers
Answer:
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
Step-by-step explanation:
Let the number of topping be x.
Cost of 1 topping = $1.50
Cost of x topping = x*Cost of 1 topping = $1.5*x = $1.5x
Cost of cheese pizza = $7.00
Total cost for cheese pizza for x topping = Cost of cheese pizza + Cost of x topping
Total cost for cheese pizza for x topping = 7 + 1.5x
Given that The total charge for Megan's pizza was $11.50
thus,
7 + 1.5x = 11.50
1.5x = 11.50 - 7
1.5x = 4.5
x = 4.5/1.5 = 3
Thus, there were three toppings
______________________________________
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
find the domain of the function, picture included
Answers
Answer:
[4,∞)
Step-by-step explanation:
x≥4
[4,∞)
a well is being dug into the ground. the well needs to reach the depth of 120 feet. a machine can dig down in 12 minutes. what is the change in depth each minute the machine is digging
Answers
Answer:
10 feet
Step-by-step explanation:
A local traffic light is set so that it cycles between 30 seconds of red and 30 seconds of green. What is the probability of randomly hitting a red light more than 25 times in n = 40 trips through the intersection?
Answers
Answer: 0.04
Step-by-step explanation:
Number of trips (n) = 40
Red = 30 seconds, Green = 30 seconds
P(red) = p(green) = 30/ (30+30) = 0.5
P(not red) = p(not green) = 1 - 0.5 = 0.5
P(x) = nCx * p^x * (1-p)^(n-x)
n = number of trials
x = number of outcome desired
P = probability of success of desired outcome
P(X > 25) = P(26) + p(27) + p(28) +.... + p(40)
Hence, to save computation time, we use the binomial distribution probability calculator :
P(X > 25) = 0.04
A study by a group of cardiologists determined that maximal heart rate in humans, a parameter used as a basis for prescribing exercise programs, depends on age. Maximal heart rate is around 201 beats per minute for a 10-year-old, and decreases at a constant rate of 7 every 10 years. Which of the following inequalities best describes the ages, for which maximal heart rate is less than 180, a is >or equal to 10.. HELP
Answers
Answer:
208 - 0.7a < 180
Step-by-step explanation:
Explain howto use friendly percents to find 35% of 80
Answers
Answer:
28
Step-by-step explanation:
35% × 80 =
(35 ÷ 100) × 80 =
(35 × 80) ÷ 100 =
2,800 ÷ 100 =
28
I hope this helps :)
Answer:
You would have to add two different percents to get to 35. You would need to add 25% and 10%. So, I would divided 80 by 4, which gets me 20, and divided 80 by 10, which gets me 8. If you add 20 and 8 together, that gets you 28. Your answer is 28.
Not sample answer, but correct