Find the area of the following figure. The base angles are right angles.
143 in.2
137.5 in.2
121 in.2
113 in.2
Answers
area of the bottom square = 11*9 =99 squre inches
for the triangular top the area = 1/2 x b x h
you have hypotenuse and height so need to calculate the base dimension
4^2 +x^2 = 7^2
16 +x^2 = 49
x^2 = 33 x = sqrt(33) = 5.7
area = 1/2 4*5.7 = 11.489
there are two similar triangles so 11.489*2 = 22.97
99+22.97 = 121.97
looks like they rounded the numbers slightly different
so 121 in2 is their answer
Answer:
121 in^2
Step-by-step explanation:
Related Questions
a number divided by 7 is 9
Answers
Multiply both sides by 7 to get the answer so it'll be: [tex] \frac{x}{7} (7)=9(7)[/tex]
x = 63
63/7= 9
A professor teaches a small lecture class with 25 students. For a certain class, 22 students attend the lecture. What is the experimental probability that a student is absent?
Answers
If you're looking for the fraction.. I'm not sure about that part.. all I know is the percentage..
:)
Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in dollars) in the past five weeks are {204, 344, 450, 482, 504}. To find the corresponding square footage of lawn mowed, construct a function that models the total area of lawn that Derek mows based on his earnings. Based on Derek's earnings, the corresponding square footage of the lawns he mowed in the past five weeks is
Answers
then Derek earns 30 $+x $ =30+x ($)
Assume Derek earns y dollars, then
y= 30+x
to find x, the 1,000 sq feet area Derek mowed, we isolate x, that is we write x in terms of y, his earnings:
y= 30+x
x = y-30
Thus, the function A, which gives the area mowed in terms of the earnings y is :
x= A(y) = y-30
A(204)=204-30=174
A(344)=344-30=314
A(450)=450-30=420
A(482)=482-30=452
A(504)=504-30=474
Thus Derek earned 204, 344, 450, 482, 504 dollars for mowing correspondingly
174,000; 314,000; 420,000; 452,000 ; 474,000 square feet.
Answer: A(y) = y-30, is the function which gives the 1,000y square feet area mowed when earning y dollars.
Remark:
or A(x)=x-30, since x or y is a 'dummy variable', it doesn't make any difference in describing the function.
Answer:
{174,000, 134,000, 420,000, 452,000, 474,000}
The shaded area of the following shape can be found by subtracting the area of the circle from the area of the triangle. True False
Answers
It takes 1629 digits to number the pages of a book.How many pages does the book have?
Answers
Answer: The book has 579 pages
Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia
Given the following functions f(x) and g(x), solve for (f ⋅ g)(2) and select the correct answer below:
f(x) = 3x2 + 2
g(x) = x − 8 (1 point)
Answers
Answer:
Given the functions:
[tex]f(x) = 3x^2+2[/tex]
[tex]g(x) = x-8[/tex]
we have to find [tex](f \cdot g)(2)[/tex]
[tex](f \cdot g)(2) = f(2) \cdot g(2)[/tex] ....[1]
Substitute the value of x = 2 in f(x) and g(x) we have;
[tex]f(2) = 3(2)^2+2 =12+2 = 14[/tex] and
[tex]g(2) = 2-8 = -6[/tex]
Substitute these in [1] we have;
[tex](f \cdot g)(2) = 14 \cdot -6 = -84[/tex]
Therefore, the value of [tex](f \cdot g)(2)[/tex] is, -84
Find two numbers that have 2,3 and 5 as factors. What other factors do the two numbers have in common?
Answers
30 has 2,3, and 5 as factors....
60 has 2,3, and 5 as factors...
both 30 and 60 also have common factors of 1,6,10,15,and 30
Two numbers are 30 and 60 that have 2,3 and 5 as factors.
What is LCM ?LCM is the least common multiple of two or more that two given numbers which is exactly divisible by these given numbers.
According to the given question we have to find two numbers that have 2, 3 and 5 as common factors.
To find least such number which have common factor of 2, 3 and 5 we have to take LCM of 2, 3 and 5.
The LCM of 2, 3 and 5 is 30.
The next such possible higher numbers will be of the form 30k, where k is an integer.
At k = 2,
The number 30k will be 30(2) which is
= 60.
We can find any such form of numbers by putting different integer value of k.
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is 3 sin(alpha)+4 cos(beta)=8 possible
Answers
Answer:
No, it's not possible
Step-by-step explanation:
We know that for various values of x , [tex]-1\leq \sin x\leq 1[/tex]
and [tex]-1\leq \cos x \leq 1[/tex]
For values of [tex]\alpha[/tex], [tex]-1\leq \sin \alpha\leq 1[/tex]
On multiplying all sides by 3, we get
[tex]-3\leq 3\sin \alpha\leq 3[/tex]
For values of [tex]\beta[/tex], [tex]-1\leq\cos \beta\leq 1[/tex]
On multiplying all sides by 4, we get
[tex]-4\leq 4\cos \beta\leq 4[/tex]
On adding all sides of [tex]-3\leq 3\sin \alpha\leq 3\,\,,\,\,-4\leq 4\cos \beta\leq 4[/tex] , we get
[tex]-3-4\leq 3\sin \alpha+ 4\cos \beta\leq 3+4\\-7\leq 3\sin \alpha+ 4\cos \beta\leq 7[/tex]
Therefore, maximum value of [tex]3\sin \alpha+ 4\cos \beta[/tex] is 7.
So, it's not possible that [tex]3\sin \alpha+ 4\cos \beta=8[/tex]
Nicole Tobin receives a salary of $250 per week plus a commission of 15% on all sales over $1500. Find her earnings during a week in which sales totaled $3000.
Answers
$3000 x 15% = $450
$450 + $250 = $700
Final answer:
To calculate Nicole Tobin's earnings for a week in which her sales totaled $3000, we first determine the total sales eligible for commission and then calculate 15% commission on that amount. Adding the resulting commission to her weekly salary of $250 gives us Nicole's total earnings for the week, which are $475.
Explanation:
Nicole Tobin receives a salary of $250 per week plus a commission of 15% on all sales over $1500. To calculate her earnings during a week in which her sales totaled $3000, we need to find out the commission on the sales exceeding $1500 and then add it to her weekly salary.
First, we calculate the amount eligible for commission:
Sales = $3000
Threshold for commission = $1500
Eligible amount for commission = Total sales - Threshold for commission = $3000 - $1500 = $1500
Next, we calculate the commission:
Commission rate = 15%
Commission = Eligible amount for commission × Commission rate = $1500 × 0.15 = $225
Finally, we find Nicole's total earnings:
Weekly salary = $250
Total earnings = Weekly salary + Commission = $250 + $225 = $475
Nicole's earnings for the week are $475.
Emily made 75% of the baskets that she attempted if she may nine baskets how many attempts did you make?
Answers
75/100= 9 baskets/ x attempts
The ratio of numerator to denominator should be 75/100 which simplifies to 3/4. 3/4= 9/x
3*3=9, 4*3=12
x=12
Final answer: 12 attempts
Pittsburgh international airport had approximately 714,587 passengers in august 2009. Write a number that is greater than 714,587.
Answers
During an 8 hour car ride to Georgia, my dog Pepper whined for 1/3 of the ride. How many hours did she whine
Answers
multiply 8 by 1/3
8* 1/3 = 8/3 =2 2/3 hours
I NEED HELP ASAP!!!!!!
Answers
4 +12 = 16 crates
16 x 32 = 512 juice boxes
so both A & C are correct
The ratio between the number of cats (c) and the number of dogs (d) in the shelter is 3. There are 27 cats in the shelter. How many dogs are in the shelter?
Answers
Since the ratio is 3:1, that means for every 3 cats you get one dog.
Therefore your answer is 9
Which statement best explains the value of 18 − (−5)?
The additive inverse of −5 is +5, so 18 − (−5) = 23.
The additive inverse of −5 is −5, so 18 − (−5) = 23.
The additive inverse of −5 is −5, so 18 − (−5) = 13.
The additive inverse of −5 is +5, so 18 − (−5) = 13.
Answers
Can u help idk how to write it ?
Answers
For part A, the inequality that we can form is x ≥ 2,450 because she needs more than $2,000 to survive after buying a $450 dollar worth laptop. Adding the two makes it 2,450.
For part B, if she has to withdraw $30 per week, then the inequality that we can form is x ≥ 2,450 - 30
For part C,
30x ≥ 2,000
x ≥ 66.67
For part D, the answer 66.67 means that Maggie can have 66 times to withdraw $30 per week worth of food from her balance $2000.
There are two 6th grade classes one with 29 students and the other with 31 students. There are 26 male students between the two classes. What is the ratio of female students to total students?
Answers
So, if the male ratio is 26/60, the remaining students are female. 60-26 Is 34, so the ratio of FEMALE students to total students is 34/60 which can be simplified to 17/30
Julia wrote 14 letters to friends each month for y months in a row. Write an expression to show how many total letters she wrote.
Answers
14y. In conclusion, 14y is an expression to show how many total letters she wrote. Have a nice day!
let S represents sum of letters that have been sent in y number of months
This simply means that we can write equation:
14*y = S
For any number of months we express it in equation above and we get total number of letters she wrote.
What's the answer to this!! The highest point on the state of Louisiana is driskall mountain. It rises 535 feet above sea level. Write the elevation of driskall mountain as an integer
Answers
A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 6t, where t represents time in minutes and p represents how far the paint is spreading.
The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(p) = πp2.
Part A: Find the area of the circle of spilled paint as a function of time, or A[p(t)]. Show your work. (6 points)
Part B: How large is the area of spilled paint after 8 minutes? You may use 3.14 to approximate π in this problem. (4 points)
Answers
A(p)=πp^2, since p(t)=6t
A(t)=π(p(t))^2
A(t)=π(6t)^2
A(t)=36πt^2, so when t=8 and approximating π≈3.14
A(8)≈36(3.14)(8^2)
A(8)≈36(3.14)64
A(8)≈7234.56 u^2
Answer:
r(t) = 3t ; where t represents the time in minutes and r represents how far the paint is spreading.
A(r) = πr²
Part A:
A[r(t)] = π (3t)² = 3.14 * 9t² = 28.26t²
Part B:
r(10) = 3(10) = 30
A(r) = 3.14 * 30² = 3.14 * 900 = 2,826 square unit
Step-by-step explanation:
Write the linear inequality shown in the graph. The gray area represents the shaded region
Answers
slope = (-1 - 2) / (2 - 1) = -3/1 = -3
y = mx + b
slope(m) = -3
(1,2)...x = 1 and y = 2
sub and find b
2 = -3(1) + b
2 = -3 + b
2 + 3 = b
5 = b
equation is : y = -3x + 5.......u have a solid line, so there is an equal sign in the problem...it is shaded below the line, so it is less then.
ur inequality is : y < = -3x + 5
The inequality from the given graph is y≤-3x+5.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
From the graph, the coordinate points are (2, -1) and (1, 2).
Here, slope (m)=(2+1)/(1-2)
m=-3
Substitute m=-3 and (x, y)=(2, -1) in y=mx+c, we get
-1=-3(2)+c
-1=-6+c
c=5
Substitute m=-3 and c=5 in y=mx+c, we get
y=-3x+5
So, the inequality is y≤-3x+5
Therefore, the inequality is y≤-3x+5.
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given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B.
{}
{a,e}
{a, b, e, g, i, l, o, r, u}
Answers
Answer: the 3rd choice, {a, b, e, g, i, l, o, r, u}
A ∪ B = {a,e,i,o,u,l,g,b,r}
For any element ∈ A and B, you choose it once
A monkey is happy if it eats 3 types of fruit. There are 20 pears, 30 bananas, 40 peaches and 50 oranges. How do you distribute the fruit to make the most number of monkeys happy? What is this number?
Answers
To make the most monkeys happy we need 20 number of pair of pears, peaches, and oranges. and 20 number of pair of peaches bananas and oranges.
What is sampling distribution?In statistics, sampling distribution refers to the study of multiple random samples drawn from a particular population depending on a specified property. The acquired data paint a clear picture of the changes in the likelihood of the outcomes determined. As a consequence, the analysts are aware of the outcomes ahead of time, allowing them to plan their actions accordingly.
Given, A monkey is happy if it eats 3 types of fruit. There are 20 pears, 30 bananas, 40 peaches, and 50 oranges. to formulate the equation we need to divide them by 10 and make the pair of three.
Hence,
2pears + 3 bananas + 4 peaches + 5 oranges
2(pears + oranges + peaches) + 2(banana + peach + oranges) + peach +1 orange.
Therefore to make the most monkey happy. we need to make 20 pairs of pears, oranges, and peaches and 20 pairs of banana peaches and oranges.
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3000000000 times 9000000000
Answers
"Shortcut": the first number ends in 9 zeros; the second number ends in 9 zeros. 3 times 9 is 27. The answer will begin with 27 and end with 9 + 9 zeros.
27000000000000000000
27,000,000,000,000,000,000
Twenty-seven quintillion!
Please help answer this questionnnn
Answers
y=5
5=1/4x^2+1
4=1/4x^2
16 = x^s
x = square root (16) = 4
x=3
y= 1/4(3)^2+1 = 3 1/4 = 13/4
Which of the following numbers has a value that is between 10% and 1/9? (a) 0.151 (b) 0.112 (c) 0.108 (d) 0.019
Answers
10% = 0.10
1/9 = 0.11
So the answer has to be between 0.10 and 0.11.
A is more than 0.11.
B is more than 0.11.
C is between 0.10 and 0.11.
D is less than 0.10.
The answer is C. 0.108.
Among the given options, (c) 0.108 is the only number that lies between 0.10 (which is the decimal equivalent of 10%) and 0.111 (which is approximate decimal equivalent of 1/9).
Explanation:To answer the question "Which of the following numbers has a value that is between 10% and 1/9?", we first need to convert 10% and 1/9 into decimal form. 10% is equivalent to 0.10, and 1/9 is approximately 0.111. We are therefore looking for a number between 0.10 and 0.111.
Reviewing the options, (a) 0.151, (b) 0.112, (c) 0.108, and (d) 0.019, we see that only (c) 0.108 fits because it falls between 0.10 and 0.111.
Therefore, the correct answer is (c) 0.108.
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Solve for x. Rs/x =1/4 A. X=rs/4 B. X=4/rs C. X=1/4rs D. X=4rs
Answers
Answer:
The correct option is D.
Step-by-step explanation:
The given equation is
[tex]\frac{Rs}{x}=\frac{1}{4}[/tex]
We need to solve the given equation for x.
On cross multiplication we get
[tex]Rs\times 4=1\times x[/tex]
On further simplification we get
[tex]4Rs=x[/tex]
The value of x is 4 times of Rs. Only option D represents this situation.
Therefore, the correct option is D.
Create a factorable polynomial with a GCF of 5z. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.
Answers
The original factorable polynomial 15z^2 + 10z can be rewritten in two different equivalent forms by factoring out the GCF to get 5z(3z + 2) and by applying the Zero Product Property to find its roots z = 0, -2/3.
Explanation:To begin, we will create a factorable polynomial with a Greatest Common Factor (GCF) of 5z. An example might be: 15z^2 + 10z. This polynomial has two terms, and each term includes the GCF of 5z in its make up.
Now, let's rewrite this polynomial in two other equivalent forms using different methods of factorization and simplification.
Form 1: Factor by GCF
In this form, we factor out the GCF from the original polynomial. For our provided example, the GCF is 5z, so we get: 5z(3z + 2).
Form 2: Use the Zero Property
We can also rewrite this polynomial using the Zero Product Property. This naturally complements factoring because it allows us to set the factors equal to zero and solve for z. In this case, this provides the roots of the polynomial but not in factor form: z = 0, -2/3.
Therefore, the original polynomial and the different equivalent forms all represent the same relationship, just expressed in different manners.
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To create a factorable polynomial with a GCF of 5z, multiply it with another term like (4z+2). The resulting polynomial is 20z² + 10z. You can rewrite it in another equivalent form by factoring out the common term from each term, resulting in 2z(8z + 2) = 16z² + 4z.
Explanation:To create a factorable polynomial with a GCF of 5z, we can start by multiplying 5z with another term. Let's say we multiply it with (4z+2). The polynomial becomes 5z(4z+2), which can be expanded to 20z² + 10z. This is one form of the polynomial.
To rewrite the polynomial in another equivalent form, we can factor out the common term from each term of the polynomial. Doing so, we get 5z(4z+2) = 5z * 4z + 5z * 2 = 20z² + 10z. Thus, the second equivalent form is 20z² + 10z.
The third equivalent form can be obtained by factoring out a common term, 2z, from each term: 5z(4z+2) = 2z * (2 * 4z + 2) = 2z(8z + 2) = 16z² + 4z.
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Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.
Answers
Answer:
Tess is wrong and Dan is correct because the tax is calculated after discount.
Step-by-step explanation:
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?
Answers
3/4 * 6/1 =
18/4 =
4.5 miles per hr <==