Therefore, the height of the trapezoid is 73.5 centimeters.
What is height?Height is a measurement of how tall someone or something is, usually expressed in units such as feet, inches, meters, or centimeters. It is a physical dimension that describes the distance between the top of an object or person and the ground or a reference point. Height is often used to describe the size of people, animals, buildings, and other objects, and is an important factor in fields such as architecture, engineering, and athletics.
To find the height of the trapezoid, we can use the formula:
Area = (base1 + base2) * height / 2
where base1 and base2 are the longer and shorter bases of the trapezoid, and height is the perpendicular distance between the bases.
We are given that the area of the trapezoid is 8,526 square centimeters, base1 is 127 centimeters, and base2 is 105 centimeters. Let's plug in these values and solve for the height:
8,526 = (127 + 105) * height / 2
8,526 = 232 * height / 2
8,526 = 116 * height
height = 8,526 / 116
height = 73.5
Therefore, the height of the trapezoid is 73.5 centimeters.
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How do I solve |10-5| ?
Answer:
5
Step-by-step explanation:
Subtract
5
from
10
.
|
5
|
The absolute value is the distance between a number and zero. The distance between
0
and
5
is
5
.
5
if (a^-1+b^-1)(a+b)^-1=a^mb^n.prove that a^(m-n)=1.
Answer:
46666
Step-by-step explanation:
how long can a go-kart travel on 6 gallon of gas
A naval engineer uses the function, P, to analyze the effects of water pressure on submarines. The
function P(d) measures the pressure exerted by water, where d represents the depth of water in
meters. Which of the following would be a possible domain?
The domain of a function are the possible input values, the function can take.
The possible domain is: \(\mathbf{(-\infty,0]}\)
The domain of the function is the set of possible values of d.
Because d represents the depth of water,
The starting value can take any value, less than 0
But the end value must be 0 (i.e. the surface of water)
This means that, the domain of the function will be from negative infinity to 0
Hence, the domain is \(\mathbf{(-\infty,0]}\)
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What is the horizontal asymptote of
Answer:
y= -2
Step-by-step explanation:
y= -2 is your horizontal asymptote, and if needed, the vertical asymptote is x= -1
Does 17 divide each of these numbers?
a)68 b) 84 c) 357 d) 1001
Hello !
68/17 = 4
=> yes for 68
84/17 = 4.941...
=> no for 84
357/17 = 21
=> yes for 357
1001/17 = 58.882...
=> no for 1001
In a random sample of 1500 Arts majors who are graduating from the University of Western Cape this summer (2021), we observe that 1380 have already found a job.
What is the proportion of students that have already NOT found a job (rounded off to two decimals)? [3]
The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.
To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.
The total number of students who have not found a job would be 1500 - 1380 = 120.
To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:
The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.
Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.
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***ANSWER IN POINT-SLOPE FORM Write an equation that represents the line. Please use exact numbers.
Answer
y=3/2x +7
this is the right answer
plz give me brinlist :)
Rebecca used 4.25pt of milk in her baking recipe. How many cups of milk did she use?
Answer: 8.25
Step-by-step explanation:
If 2x + 5 = 8x, then 12x = ?
A 5
B
10
C
15
D 20
Answer:
10
Step-by-step explanation:
2x + 5 = 8x
Subtract 2x from each side
2x-2x + 5 = 8x-2x
5 = 6x
We want 12x so multiply each side by 2
2*5 = 6x*2
10 = 12x
Answer:
B. 10
Step-by-step explanation:
To find 12x, you first need to find the value of x using the first equation:
\(2x+5=8x\)
You need to get the variables (x) on the same side of the equation in order to simplify them. To do this, use reverse operations. Subtract 2x from both sides to keep the equation balanced:
\(2x-2x+5=8x-2x\\\\5=6x\)
Now isolate the variable (x) by dividing both sides of the equation by 6 (using reverse operations):
\(\frac{5}{6}=\frac{6x}{6} \\\\\frac{5}{6}=x\)
Now insert the given value of x into 12x:
\(12(\frac{5}{6})\)
Simplify:
\(12*\frac{5}{6} \\\\\frac{12}{1}*\frac{5}{6}\\\\\frac{60}{6}=10\)
12x equals 10.
:Done
work out the total surface area of this triangular prism 12cm by 5cm by 10cm by 13cm
To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.
The triangular faces have base 5cm and height 12cm, so each one has an area of:
(1/2) x 5cm x 12cm = 30cm²
There are two of these faces, so their combined area is:
2 x 30cm² = 60cm²
The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:
5cm x 10cm = 50cm²
5cm x 13cm = 65cm²
Again, there are two of these faces, so their combined area is:
2 x (50cm² + 65cm²) = 230cm²
Finally, we add up the areas of all the faces to get the total surface area:
60cm² + 230cm² = 290cm²
Therefore, the total surface area of this triangular prism is 290cm².
A commuter train travels 31 kilometers in 27 minutes. What is its speed in per hour?
The speed of the train in kilometer per hour is 68.9km/hr.
What is speed?The rate of change of position of an object in any direction.
Formula for speed\(speed = \frac{distance}{time}\)
According to the given question
Distance travelled by commuter train = 21km
Time taken by a train to travel 31 km = 27 minutes = \(\frac{27}{60} =0.45hour\)
Therefore, the speed of the train in kilometer per hour is given by
\(speed = \frac{31}{0.45}\)
⇒\(speed = 68.9km/hr\)
Hence, the speed of the train in kilometer per hour is 68.9km/hr.
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How does a recipient not-for-profit entity record the receipt of a gift that will be transferred without restriction to another charitable entity? What if the donor retains the right to revoke or redirect the gift?
When a recipient not-for-profit entity receives a gift for transfer to another charitable entity, it records it as revenue upon receipt.
If the donor retains the right to revoke or redirect the gift, it's recognized as a "Contribution Receivable" liability until the restrictions lapse or are fulfilled. Consult accountants for proper accounting.
When a recipient not-for-profit entity receives a gift that will be transferred without restriction to another charitable entity,
The accounting treatment typically involves two steps:
Recognition on Receipt:
The recipient not-for-profit entity should recognize the gift as revenue or contribution in its financial records upon receipt.
This is because the organization has legal control and possession of the gift, even if it intends to transfer it to another charitable entity.
The accounting entry will depend on the nature of the gift received ( cash, securities, in-kind donation).
Classification as a "Contribution to be Transferred":
The second step involves classifying the received gift as a "Contribution to be Transferred" on the recipient's balance sheet.
This classification reflects that the entity intends to pass the gift along to another charitable entity
and that the funds are not restricted for use within the recipient organization.
If the donor retains the right to revoke or redirect the gift,
The recipient not-for-profit entity should follow the guidelines for recognizing contributions subject to donor restrictions.
Until the restrictions lapse or are fulfilled, the contribution should be recorded as a liability ( "Contribution Receivable").
Accounting for contributions with donor-imposed restrictions can be complex,
and the specific treatment will depend on the terms of the gift and applicable accounting standards.
It's essential for the not-for-profit organization to consult with its accountants
or financial advisors to ensure compliance with relevant accounting principles and reporting requirements.
Also, it's important to note that accounting standards and regulations may vary across different countries or regions,
so organizations should adhere to the accounting principles applicable in their specific jurisdiction.
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After she pays her bills each month, Lana has $300 left. Based on the graph below, which is the best estimate of how much she will spend on movies and eating out? $180 $75 $160 $200 $90 Discretionary Spending 16- to 22-Year-Olds Shopping for Pleasure 34% Hobbies 12% Eating Out 30% Movies 24%.
The best estimate of how much she will spend on movies and eating out is given as follows:
$162.
How to obtain the best estimate?The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.
The percentages associated with movies and eating out are given as follows:
Eating out: 30%.Movies: 24%.The amount that she has left is given as follows:
$300.
Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:
(0.3 + 0.24) x 300 = 0.54 x 300 = $162.
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Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into
the ground. After 5 minutes of descending at a rate of 1.8 meters per minute, he was 13.5 meters below the
ground.
Let y represent Mr. Mole's altitude (in meters) relative to the ground after c minutes.
Complete the equation for the relationship between the altitude and number of minutes.
y =
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Lori wants to spend less than $20 on her school lunches this week. If she plans to buy all her lunches
chool this week, on average, how much can she spend each day?
Equation or inequality:
Answer:
$4.00<d
Step-by-step explanation:
$20 per week
5 school days
$20 / 5 days = $4 per day
Is 9/10 more than 78/100
The fraction 9/10 is more than 78/100.
In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) that are combined in a meaningful way.
To compare these two fractions, we can convert them to have a common denominator. In this case, the common denominator is 1000.
9/10 = (9/10) x (100/100) = 900/1000
78/100 = (78/100) x (10/10) = 780/1000
Now we can see that 900/1000 (which is equivalent to 9/10) is greater than 780/1000 (which is equivalent to 78/100).
Therefore, 9/10 is more than 78/100.
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Evaluate. Write your answer as a fraction or whole number without exponents. 9^–3 =
Answer:
\(\frac{1}{9^3}\) or \(\frac{1}{729}\)
Step-by-step explanation:
When we have an exponent that is a negative, it is the same thing as 1 over the positive exponent. So, we move 9^-3 into 1/9^3 and then we evaluate the exponent to get our answer.
pls help asap!!i don't get it and it's due very soon!
Answer:
65/100
Step-by-step explanation:
13/20 is equal to 65/100
Answer:
D
Step-by-step explanation:
percent means out of 100
13/20 multiplying both sides by 5 we get
65/100
therefore m=65, n=100
so D
if my answer helped please mark as brainliest.
CAN SOMEONE HELP?
Thank you
Answer:
88
Step-by-step explanation:
troll is herre
Circles Test
Find the circumference of each circle. Round your answer to the nearest whole
A factory received a shipment of 22 flanges, and the vendor who sold the items knows there are 6 flanges in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the flanges in the sample are defective, he will refuse the shipment.For each of the following, give your responses as reduced fractions.A. If a sample of 5 flanges is selected, find the probability that all in the sample are defective.B. If a sample of 5 flanges is selected, find the probability that none in the sample are defective.
Answer:
A. 1/4,389
B. 728/4,389
Step-by-step explanation:
Total number of flanges = 22
Defective flanges = 6
Non-defective flanges = 16
A. The probability that all in the sample are defective is given by:
\(P(d=5)=\frac{6}{22}*\frac{5}{21}*\frac{4}{20}*\frac{3}{19} *\frac{2}{18}\\P(d=5)=\frac{1}{11}*\frac{1}{7}*\frac{1}{1}*\frac{1}{19} *\frac{1}{3}\\P(d=5)=\frac{1}{4,389}\)
The probability is 1/4,389.
B. The probability that none in the sample are defective is given by:
\(P(d=0)=\frac{16}{22}*\frac{15}{21}*\frac{14}{20}*\frac{13}{19} *\frac{12}{18}\\P(d=0)=\frac{4}{11}*\frac{1}{7}*\frac{7}{1}*\frac{13}{19} *\frac{2}{3}\\P(d=0)=\frac{728}{4,389}\)
The probability is 728/4,389.
Help please!! So confused, determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.
The perimeter of the right triangle is 26 units.
From the given graph, the measure of side AB= 8 units and the measure of side BC= 7 units.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
By Pythagoras theorem,
AC²=AB²+BC²
⇒ AC²=8²+7²
⇒ AC²=113
⇒ AC=10.63
≈ 11 units
Perimeter =AB+BC+AC
= 8+7+11
= 26 units
Therefore, the perimeter of the right triangle is 26 units.
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find the volume and give explanation
Answer:
Step-by-step explanation:
Gonnnnnnnnnnnnnnnnnnnnn
Consider the line which passes through the point P(−1,-3,5), and which is parallel to the line x=1+7t, y=2+2t, z=3+4t Find the point of intersection of this new line with each of the coordinate planes:
The given line is parameterized by
x(t) = 1 + 7t
y(t) = 2 + 2t
z(t) = 3 + 4t
and points in the same direction as the vector
d/dt (x(t), y(t), z(t)) = (7, 2, 4)
So, the line we want has parameteric equations
x(t) = -1 + 7t
y(t) = -3 + 2t
z(t) = 5 + 4t
Solve for t when one of x, y, or z is equal to 0 - this will tell you for which value of t the line cross a given plane. Then determine the other coordinates of these intersections.
• x = 0, which corresponds to the y-z plane:
0 = -1 + 7t ⇒ 7t = 1 ⇒ t = 1/7
y(1/7) = -3 + 2/7 = -19/7
z(1/7) = 5 + 4/7 = 39/7
⇒ intersection = (0, -19/7, 39/7)
• y = 0 (x-z plane):
0 = -3 + 2t ⇒ 2t = 3 ⇒ t = 3/2
x(3/2) = -1 + 21/2 = 19/2
z(3/2) = 5 + 12/2 = 11
⇒ intersection = (19/2, 0, 11)
• z = 0 (x-y plane):
0 = 5 + 4t ⇒ 4t = -5 ⇒ t = -5/4
x(-5/4) = -1 - 35/4 = -39/4
y(-5/4) = -3 - 10/4 = -11/2
⇒ intersection = (-39/4, -11/2, 0)
Solve the equation using any technique.
x^2+8x+12 = 0
A. x= -4,x=4
B. X=-6; X=-2
C. X= 3; x = 7
D. X=6; x = 8
Answer:
B
Step-by-step explanation:
If you factor the function, you end up with (x+6)(x+2). The next step is to equal them to 0 to find x for both. The answer would mean x=-6 and x=-2
Determine if ✓ 8 is rational or irrational and give a reason for
a reason for your answer.
which equation represents a line perpendicular to the line shown on the graph
Answer:
y = 1/4x + (any number)
Step-by-step explanation:
m = -8/2 = -4, the equation shown is y = -4x + 8
perpendicular is y = 1/4x + (any number), you didn't say where the line was perpendicular.
Find the volume of the composite figure.
what is 3/5 - 3/10 = in simplest form
Answer:
3/10
Step-by-step explanation:
3/5 - 3/10 = 5×2 = 10 so 10 is the denominator
6/10 -3/10 = rewrite with a denominator of 10
(6-3)/10 = subtract numerators
3/10 already in simplest form
Answer:
3/5
Step-by-step explanation:
You don’t need a common denominator when subtracting