A trapezoid is made of a square with side lengths of 7 feet and an isosceles right triangle whose base and height are both 7 feet.What is the area?
Answers
The total area of the trapezoid is 73.5 square feet, calculated by adding the area of the square (49 square feet) to the area of the isosceles right triangle (24.5 square feet).
The area of a trapezoid consists of the area of a square and the area of an isosceles right triangle. Since the square has side lengths of 7 feet, its area is 49 square feet (7 feet x 7 feet). The isosceles right triangle, with both the base and the height being 7 feet, has an area of 24.5 square feet (1/2 x 7 feet x 7 feet). Therefore, the total area of the trapezoid is the sum of the areas of the square and the triangle.
Total area = Area of square + Area of triangle
Total area = 49 square feet + 24.5 square feet = 73.5 square feet.
Related Questions
Use multiples to write two fractions equivalent 3/8
Answers
9/24 (multiply 3 top and bottom)
hope this helps
Answer:
its 3
Step-by-step explanation:
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain.
Answers
If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.
Final answer:
Properties of vertical angles and linear pairs allow us to find unknown angles when two lines intersect by employing the facts that vertical angles are equal and linear pairs sum up to 180 degrees.
Explanation:
When two lines intersect, they form two pairs of vertical angles and two pairs of linear pairs. Vertical angles are opposite angles made by intersecting lines and are always equal. So, if one of the vertical angles is known, the opposite angle can be determined because it is congruent. Linear pairs are adjacent angles whose outer arms form a straight line. These linear pairs are supplementary, meaning their sum is 180 degrees. Therefore, if we know one angle of a linear pair, we can find the other by subtracting the known angle from 180 degrees. Understanding these properties allows us to solve for unknown angle measures around the intersection of two lines. For example, if one angle measure in a linear pair is given, we can find the measure of the adjacent angle. Knowing the measure of this adjacent angle, which is also a vertical angle, allows us to determine the measure of the angle vertical to it, as they are equal.
7.5% of what number is 12?
Answers
[tex] \frac{7.5}{100} [/tex] =[tex] \frac{12}{x} [/tex]
Next, you would cross multiply.
7.5x = 1,200
The last step would be to isolate the x. To do this, you would divide both sides by 7.5.
x = 160
12 is 7.5% of 160.
I hope this helps!
Find the solution to the initial value problem (1 + x^{5}) y' + 5 x^{4} y = 5 x^{8}
Answers
[tex]\bigg((1+x^5)y\bigg)'=5x^8[/tex]
[tex](1+x^5)y=5\displaystyle\int x^8\,\mathrm dx[/tex]
[tex](1+x^5)y=\dfrac59x^9+C[/tex]
[tex]y=\dfrac{5x^9+C}{9(1+x^5)}[/tex]
write an algebraic expression to model each situation. you have a summer job at a car wash. you earn $8.50 per hour and are expected to pay a one-time fee of $15 for the uniform. if you work x hours per week, how much will you make during the first week? show all your work.
Answers
One-time fee of $15 for uniform
x hours per week
y=8.5x-15
Answer:
The algebraic expression to the model is [tex]8.5x-15[/tex]
Step-by-step explanation:
Consider the provide situation.
You have a summer job at a car wash. you earn $8.50 per hour and are expected to pay a one-time fee of $15 for the uniform.
Let you work for x hours per week and you earn $8.50 per hours, so the money you will earn can be represented as:
8.50 times x or 8.50x
Now you need to pay one time fee of $15 for the uniform.
For the one time fee use a negative sign.
Thus, the required expression is:
[tex]8.50x-15[/tex]
The algebraic expression to the model is [tex]8.5x-15[/tex]
"most humans find it easier to remember words, rather than numbers. if you tell someone to go to www.icann.org, they can probably remember that. if you told them to go to 192.0.32.7, they would have a difficult time remembering an ip address. computers process in numbers. dns is the process of translating words into numbers. there is a second translation that takes place. humans think in base 10 numbers. computers process in base 2 numbers. the base 10 ip address 192.0.32.7 in base 2 numbers is 11000000.00000000.00100000.00000111. what happens if you cut and paste these base 2 numbers into a browser?"
Answers
If you were to cut and paste the base 2 numbers 11000000.00000000.00100000.00000111 into a browser, it would not work as expected.
Why is this so?Browsers expect IP addresses to be provided in the standard base 10 format, not in base 2.
The base 2 representation you mentioned is the binary representation of the IP address 192.0.32.7, but browsers require the IP address to be in decimal format to establish a successful connection.
A browser is a software application used to access and view information on the World Wide Web, displaying webpages and supporting various internet activities.
Learn more about browser at:
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Daniel is enrolling for a test prep class. The expression below represents the hourly charges, including the cost for the materials. $30x + $65
1. The constant of the expression represents the ___ A. cost of materials
B. Cost per hour
C. Number of hours
2. and the coefficient of x represents the__ A. Cost per hour
B. cost of materials
C. number of hours
Answers
2. The number of hours (the number of hours depends on the amount of time he stays there)
hope this helps
Answer:
(1) The constant of the expression represents the cost of material .
Option (A) is correct .
(2) The coefficient of x represents the cost per hour .
Option (A) is correct .
Step-by-step explanation:
As given the expression
Total cost of hourly wage including the cost for the material = $30x + $65
(1) The constant of the expression represents the cost of material .
Option (A) is correct .
(2) The coefficient of x represents the cost per hour .
Option (A) is correct .
In general, the air temperature decreases 12 degrees for every 4,000 feet increase in altitude. If a hiker climbs 3,000 feet by how much can she expect the temperature to decrease?
Answers
3,000, 4,000 = 3/4
3/4 * 12 = 36/ 4. = 9 degrees
If you sell 30 items at $200 a piece and your commission rate is 20%, how much commission do you earn
Answers
Answer:
$1200 a
Step-by-step explanation:
You sell 30 items at $200 a piece and your commission rate is 20%
Price of 30 items = 30 × 200 = $6,000
Your commission = 20% × 6,000
= [tex]\frac{20}{100}[/tex] × 6,000
= 0.20 × 6,000
= $1200
You earn $1200 as commission.
Use properties of equality to simplify each of the following expressions so that you can simplify them in your head. Identify the properties used and describe how you used them.
1. 4 • (–3) • 5
2. (2.25 • 23) • 4
4. 5 • 12 • (–2)
5. 35(26)(0)
Answers
All of these problems make use of the strategy, "look at what you have before you start work."
1. = (4·5)·(-3) = 20·(-3) = -60 . . . . if you know factors of 60, you can do this any way you like. It is convenient to ignore the sign until the final result.
2. = (2.25·4)·23 = 9·23 = 23·10 -23 = 230 -23 = 207 . . . . multiplication by 4 can clear the fraction in 2 1/4, so we choose to do that first. Multiplication by 9 can be done with a subtraction that is often easier than using ×9 facts.
4. = (2·5)·12·(-1) = 10·12·(-1) = (-1)·120 = -120 . . . . multiplying by 10 is about the easiest, so it is convenient to identify the factors of 10 and use them first. Again, it is convenient to ignore the sign until the end.
5. = 0 . . . . when a factor is zero, the product is zero
Sarah started 3 miles below the rim of the canyon and hiked until she was 8 miles above the rim. Her brother Sam said she hiked 5 miles. Sarah said she hiked 11 miles.
Who is correct and why?
A. Sam is correct because |3 – 8| = 5.
B. Sam is correct because |–3 – 8| = 5.
C. Sarah is correct because |–3 + 8| = 11.
D. Sarah is correct because |–3 – 8| = 11.
Answers
-3 to 0 would be 3 then add 8 = 11 miles.
Sarah is correct
answer is D. Sarah is correct because |–3 – 8| = 11.
Sarah is correct because |–3 – 8| = 11, answer is option D. using number line concept.
What is number line geometery?A number line is a horizontal line that has numbers in equal intervals.The numbers included on the line can be negative or positive taking zero as a reference point at the center called the origin.
The horizontal straight lines in which the integers are placed in equal intervals increase as we go right.The horizontal straight lines in which the integers are placed in equal intervals decreases as we go left.
A vector is an object that has both a magnitude as wel as direction. direction. It is represented by an arrow (head) and the tail which indicates the direction.The length is proportional to the quantity's magnitude.The resultant vector can be calculated using vector addition, and vector subtraction.Unit vector always has a magnitude of one and tells about the direction
explanation:- using number line concept.
-3 to 0 would be 3 then add 8 = 11 miles.
⇒Sarah started 3 miles below the rim = -3
⇒ initially she was above 8 miles
⇒ total distance first from -3 to 0 and than from o to 8
Therefore total distance = |–3 – 8| = 11.
Hence the answer is option D. Sarah is correct because |–3 – 8| = 11.
Learn more about Number line here:-https://brainly.com/question/25748640
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A statistics class at wilmington college has 25 students of which 15 are math majors and 10 are business majors. the professor randomly selects five students to work together on a group project. what is the mean of this probability distribution if selecting a business major is defined as a success?
Answers
Final answer:
The mean of this probability distribution is 2.
Explanation:
To find the mean of the probability distribution, we need to calculate the expected value. In this case, the random variable is selecting a business major as a success. So, the probability of selecting a business major is 10/25, or 0.4. The number of successes (business majors) in the group project can range from 0 to 5. Using the formula for expected value:
E(X) = p1 * x1 + p2 * x2 + ... + pn * xn,
where pi is the probability of xi occurring, we can calculate the mean as:
E(X) = (0.4 * 0) + (0.4 * 1) + (0.4 * 2) + (0.4 * 3) + (0.4 * 4) + (0.4 * 5)
E(X) = 2
Therefore, the mean of this probability distribution is 2.
If g is an odd function, which pair of points could be found on the graph of g?
A) (-1,16) and (1,16)
B) (3,-5) and (-3,-5)
C) (4,28) and (4,-28)
D) (-2,32) and (2,-32)
Answers
Answer:
D is the only option that satisfies this. f(x)=-32 and f(-2)=-f(x)=32.
Step-by-step explanation:
Convert 0.5% to a decimal. 0.5 0.05 0.005 5.0
Answers
Answer:
the answer is o.oo5
Step-by-step explanation:
The numbers on two consecutively numbered gym lockers have a sum of 143. What are the locker numbers
Answers
2a + 1 = 143
2a = 142
a = 71
b = 71 + 1
b = 72
check;
71 + 72 = 143
143 = 143
so your answer is 71 and 72. hope this helps, God bless!
71.5 - .5 = 71
.5 + .5 = 1
71 + 1 = 72
So the answer is 71 and 72
How you could use the numerical value of slope to describe the slant and steepness of a line?
Answers
The higher the absolute value of the slope the steeper the line.
there are 220 calories in 4 ounces of beef. how many calories are there in 5 ounces
Answers
Final answer:
To find the number of calories in 5 ounces of beef, divide 220 calories by 4 ounces to find the per ounce calorie count and then multiply by 5. The answer is 275 calories for 5 ounces of beef.
Explanation:
To determine the number of calories in 5 ounces of beef, we will first calculate the calories per ounce. Given that there are 220 calories in 4 ounces of beef, we can divide 220 calories by 4 to find the number of calories in 1 ounce.
220 calories ÷ 4 ounces = 55 calories per ounce.
Now, if one ounce of beef has 55 calories, then 5 ounces of beef would have:
55 calories/ounce × 5 ounces = 275 calories.
Therefore, 5 ounces of beef contains 275 calories.
Find the maximum value of the function
Answers
Translate to an algebraic expression
34 more than q
Answers
The "more than" represents a plus or addition sign.
Need help on question 30 please
Answers
make sure your calculator is in Degree mode.
Women's shoe size follow a normal distribution with a mean of size 7.5 and a standard deviation of 1.5 sizes. Using the 68-95-99.7 rule, if a store owner wants to stock shoe that fit. 68% of women, what range of sizes should the owner order
Answers
μ = 7.5, the population mean
σ = 1.5, the population standard deviation
According to the 68 - 95 - 99.7 rule, 68% of the population data lies within one standard deviation of the population mean.
Therefore the range of sizes that fit 68% of women is
(7.5-1.5, 7.5+1.5) = (6.0, 9.0)
Answer: 6.0 to 9.0
To fit 68% of women, the store owner should stock shoe sizes between 6 and 9.
Explanation:To determine the range of shoe sizes that the store owner should order in order to fit 68% of women, we can use the 68-95-99.7 rule, which states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean.
In this case, the mean shoe size is 7.5 and the standard deviation is 1.5. So, we can calculate the range by adding and subtracting one standard deviation from the mean:
Lower Bound = Mean - Standard Deviation
Upper Bound = Mean + Standard Deviation
Therefore, the owner should stock shoe sizes between 6 and 9 to fit 68% of women.
True or false: the mean of a normal distribution has no effect on its spread. explain your answer. choose the correct answer below.
a. false. the spread of a normal distribution is completely determined by its mean.
b. true. the spread of a normal distribution is completely determined by its standard deviation.
c. true. the spread of a normal distribution is completely determined by its median.
d. false. the spread of a normal distribution is determined by both its mean and standard deviation.
Answers
WORTH 20 POINTS
Which functions are equivalent to f(x)= 4√162? Check all that apply
Answers
Answer:
1,2,5
Step-by-step explanation:
When going more than 38 miles per hour, the gas mileage of a certain car fits the model y = 43.81 - .395x where x is the speed of the car in miles per hour and y is the miles per gallon of gasoline. Based on this model, at what speed will the car average 15 miles per gallon? (Round to nearest whole number.)
Answers
move the 43.81 to the other side by subtracting it on both sides.
-28.81=-.395x
divide -28.81 by -.395 and get x
x=72.9367= 73 miles per hour to get 15 miles per gallon
Answer:
d. 73
The car will average 15 miles per gallon at the speed 73 miles per hour
Step-by-step explanation:
Your equation is: y = 43.81 - 0.395x
We need to solve for x if y = 15
So plug 15 into your equation: 15 = 43.81 - 0.395x
Then rearrange your equation to get the variable by itself and change the sign: 0.395x = 43.81 - 15
Subtract 43.81 - 15 = 28.81
0.395x = 28.81
Then divide both sides of the equation by 0.395
0.395x/0.395 = 28.81/0.395
x = 72.9367088608
Then (Round to nearest whole number.)
Giving you your solution of 73
To Conclude:
The car will average 15 miles per gallon at the speed 73 miles per hour
Divide. Write your answer as a fraction in simplest form.
9/10÷(−6/5)=
Answers
Which angles are corresponding angles?
Answers
theyre congruent
sorry if i am wrong
Mr. Henderson did not realize his checking account had a balance of $200 when he used his debit card for a $317.25 purchase. What is his checking account balance after the purchase?
Answers
Another tent has the perimeter of 7.2 metres. If the width is 1.3 meters, what is the length?
Answers
With what we know, let's set up an equation. The equation to find the perimeter of a rectangle is: P = 2( L + W)
We know the perimeter is = 7.2 meters
And we know the width is = 1.3 meters
Let's plug that into the equation.
7.2 = 2(1.3 + L)
Let's then distribute the 2 to what's in the parenthesis.
7.2 = 2.6 + 2L
If we then want to find the length, we need to subtract 2.6 from that side and also subtract it to the other side so that 2L is only left. After you do that, the equation simplifies to:
7.2 - 2.6 = 2L
The next step is to subtract 7.2 to 2.6, which is:
4.6 = 2L
Lastly, we want to get L by itself so we will divide l by 2, to cancel the 2 out, and then we need to also divide the left side with 2 also. And that will get you with:
4.6/2 = L
After you divide, L = 2.3 meters
Hope this helps! Have a great day =).
May
find the (f of f) (0) f(x)=3x-2
Answers
To find (f of f)(0), substitute the value of f(0) into the function and evaluate.
Explanation:To find (f of f)(0), we need to first find f(f(0)). Given that f(x) = 3x - 2, let's substitute f(0) into the function.
Therefore, (f of f)(0) is equal to -8.
21.95 with a 4.25% sales tax
Answers
You get approximate 22.88
That's your answer.
Have an awesome day! :)
From your friendly Helper-in-Training, collinjun0827
21.95 / 100 = 0.2195 (since percentages are hundredths of a whole number, we divide the whole number by 100 to get 1% of the number)
0.2195 * 4.25 = 0.932879 (since what we got is only 1%, we need to multiply that by 4.25 to get 4.25% of 21.95)
Round 0.932879 up to the nearest thousandth (or 0.93)
And add 21.95 to 0.93.
21.95 + 0.93 = $22.88
I hope this helped you! :)