Correct option B)[tex]63.4km^2[/tex] .
Step-by-step explanation:
We have the following figure attached as shown below.
Now, this triangular prism have 2 similar right angled surfaces and 3 rectangular surfaces , Let's calculate area for all of them:
2 similar right angled surfaces
We know that area of triangle = [tex]\frac{1}{2} b(h)[/tex]
⇒ [tex]area = \frac{1}{2} b(h)[/tex]
⇒ [tex]area = \frac{1}{2} (3.6)(7.7)[/tex]
⇒ [tex]area = 13.86km^{2}[/tex]
But there 2 such surfaces so , [tex]area = 2(13.86) = 27.72km^2[/tex]
3 rectangular surfaces
Area of rectangle = [tex]length(breadth)[/tex]
⇒ [tex]area_1 = 3.6(1.8)[/tex]
⇒ [tex]area_1 = 6.48km^2[/tex]
⇒ [tex]area_2= 7.7(1.8)[/tex]
⇒ [tex]area_2 = 13.86km^2[/tex]
⇒ [tex]area_3 = 8.5(1.8)[/tex]
⇒ [tex]area_2 = 15.3km^2[/tex]
Total area =[tex]6.48 + 13.86 + 15.3 = 35.64km^2[/tex]
Adding area of 2 similar right angled surfaces & 3 rectangular surfaces:
[tex]Area = 27.72+35.64 = 63.36km^2[/tex] = [tex]63.4km^2[/tex]
Correct option B)[tex]63.4km^2[/tex] .
Answer:
It is B.
Step-by-step explanation:
Trust me it's B
1. In the diagram, AA'B'C' is an image of AABC. Which rule describes this translation?
O(x, y) → (x-5,y-3)
O(x, y) + (x + 5, y + 3)
O(x,y) → (x-3, y-5)
O(x, y) (x+3, y + 5)
Option B: [tex](x, y) \rightarrow(x+5, y+3)[/tex] is the rule for the translation
Explanation:
The coordinates of A,B,C are [tex](-3,2)[/tex] ,[tex](-3,-3)[/tex] , [tex](0,-2)[/tex]
The coordinates of A',B',C' are [tex](2,5)[/tex] , [tex](2,0)[/tex] , [tex](5,1)[/tex]
We need to determine the rule for the translation
The rule for the translation is given by
[tex]P(x, y) \rightarrow P^{\prime}(x+a, y+b)[/tex]
Let us determine the translation from A to A'
[tex]A(-3,2)\rightarrow A^{\prime}(-3+a, 2+b)\rightarrow A'(2,5)[/tex]
Thus, we have,
[tex]\begin{aligned}-3+a &=2 \\a &=5\end{aligned}[/tex] and [tex]\begin{array}{r}2+b=5 \\b=3\end{array}[/tex]
Thus, the rule is given by
[tex](x, y) \rightarrow(x+5, y+3)[/tex]
Therefore, Option B is the correct answer.
Answer:
its b
Step-by-step explanation:
hdhbdbehebebehrbrb
Solve xin for the figure
X=16 hope that helps!
Which relation is a function?
A) x = y2 - 3
B) x = y - 4x2
C) y2 = 4x - 6
D) x2 = y2 - 10
Answer:it is B
Step-by-step explanation:
Which point is the centroid of triangle JKL?
A. Point K
B. Point M
C. Point R
D. Point J
Answer:
The answer is C. Point R.
Step-by-step explanation:
It is point R because that is where all the lines meet in the center.
what is the difference of the fractions below? 7x/5-x/5
Answer:
[tex]\frac{6x}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{7x}{5}[/tex] - [tex]\frac{x}{5}[/tex]
Since both fractions have a common denominator, subtract the numerators leaving the denominator.
= [tex]\frac{7x-x}{5}[/tex]
= [tex]\frac{6x}{5}[/tex]
Answer: 6x/5
Step-by-step explanation:
1 googol is 1 × 10100 Danesh says, " When I multiply 1.496 × 1011 by 6.68 × 109 I get nearly 1 googol because 1.496 × 1011 × 6.68 × 109 = 9.99 × 1099 " (b) Is Danesh correct? Give a reason for your answer
Danesh is incorrect as the multiplication of 1.496 × 1011 and 6.68 × 109 results in a value with 1020, not 1099. Moreover, 1 googol equals 1 × 10100, which is much larger.
Explanation:No, Danesh is incorrect. According to the laws of exponents, when you multiply two powers with the same base, you add the exponents. Therefore, the multiplication of 1.496 × 1011 and 6.68 × 109 will result in a value that is multiplied by 1020 and not 1099. Also, 1 googol is significantly larger than the result of this multiplication because it is equal to 1 × 10100. Thus, the statement made by Danesh is inaccurate.
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If 300% of 0.18 is equivalent to 20% of b, then b is equivalent to what number?
To calculate the value of b, we equate 300% of 0.18 to 20% of b, convert percentages to decimals, and solve for b, resulting in b being 2.7.
Explanation:To find the value of b when 300% of 0.18 is equivalent to 20% of b, we can set up the equation as follows:
300% × 0.18 = 20% × b
Converting percentages to decimal form gives:
3 × 0.18 = 0.2 × b
Now, we will multiply the numbers:
0.54 = 0.2b
To find the value of b, we divide both sides by 0.2:
b = \( \frac{0.54}{0.2} \)
b = 2.7
Therefore, the value of b is 2.7.
ursula sold 47 copies her new app for $26 each. How much money did Ursula make? Use the numbers below to fill in the area model. You may not use all of the numbers.
800 36 42 6 20
400 140 7 24 240
Final answer:
Ursula made $1,222 by selling 47 copies of her app for $26 each. The calculation is straightforward multiplication, and the numbers provided for the area model were not needed.
Explanation:
To calculate how much money Ursula made from selling 47 copies of her new app at $26 each, we should multiply the number of copies sold by the price per copy. So, the calculation will be as follows:
47 copies imes $26/copy = $1,222.
Therefore, Ursula made $1,222 from her app sales.
The numbers provided for the area model are part of another exercise and not relevant to this calculation. In this case, we did not need to use the area model to find the answer.
Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12
Subtract 11 - 5
Subtract 12 - 4
Add 11 + 5
Add 12 + 4
Answer:
12 - 4
Step-by-step explanation:
To get the range, subtract the lowest number from the highest
The highest number is 12
The lowest number is 4
Range = 12 - 4
= 8
Answer:
12 - 4
Step-by-step explanation:
To get the range, subtract the lowest number from the highest
The highest number is 12
The lowest number is 4
Range = 12 - 4
= 8
Step-by-step explanation:
$9000 is 60% of what number?
Answer:
15000
Step-by-step explanation:
We have, 60% × x = 900 or,
60
100
× x = 9000
Multiplying both sides by 100 and dividing both sides by 60,
we have x = 9000 ×
100
60
x = 15000
If you are using a calculator, simply enter 9000×100÷60, which will give you the answer.
Justin needs to make 80 illustrations for an art book. He has made 40% of the
illustrations. Make a bar model to show his progress. How many illustrations does
he still need to make? Explain.
Answer: the answer is
5000
Step-by-step explanation:
Answer:40%
Step-by-step explanation:
how do you do this
Answer:
The best choice is to use a calculator (the button is [tex]\sqrt[/tex]), but if that is not an option here are a few tips.
If a perfect square ends with a 1, then the last digit of its square root has to be either 1 or 9.
If a perfect square ends with a 4, then the last digit of its square root has to be either 2 or 8.
If a perfect square ends with a 5, then the last digit of its square root is definitely 5.
If a perfect square ends with a 6, then the last digit of its square root has to be either 4 or 6.
If a perfect square ends with a 9, then the last digit of its square root has to be either 3 or 7.
I took a look and all of them seem to be perfect squares so hopefully this helps!
The length of a rectangle is 5 feet more than twice the width. The perimeter is 28 feet. Find the length and width.
Answer:
Step-by-step explanation: 5 times 2 equals 10
Staci is attending a music festival. The ticket to the festival costs $87.96 . Staci plans to purchase $30.00 t-shirts form the event for close friends. She is taking $200.00 to the festival . What is the maximum Numbers of t-shirts staci can purchase
Answer:
3 t-shirts
Step-by-step explanation:
Lets recap the information we will use from this problem:
The ticket to the festival costs $87.96
T-shirts are $30.00
She is taking $200.00 to the festival
Now we can solve. First we will subtract the price of the ticket from the total amount of money she has.
$200.00 - $87.96 = $112.04
Now that she has payed for the ticket, we want to find out how many shirts she can buy with the remainder of her money. To find this, we will set up an equation like this:
(Amount of money left) ÷ (Cost of 1 t-shirt) = (How many t-shirts she can buy)
Insert your numbers: $112.04 ÷ $30.00 = 3.73466666667
Because she cant buy a fraction of a t-shirt, we ignore the decimals on the end of this number. Therefore, Staci can purchase 3 t-shirts.
After paying for the festival ticket, Staci will have $112.04 left. As each t-shirt costs $30, she can buy a maximum of 3 t-shirts.
Explanation:The question is about determining how many T-shirts Staci can purchase given a specific budget. First, Staci has to cover the cost of the music festival ticket, which is $87.96. After paying for the ticket, Staci would have $200 - $87.96 = $112.04 left.
Given that each T-shirt costs $30, the maximum number of T-shirts she can purchase can be calculated by dividing the remaining amount by the cost of a T-shirt. Hence, $112.04/$30 ≈ 3.73. Since she can't buy a fractional T-shirt, the maximum number of T-shirts she can buy is 3.
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which expression is equivalent to -3.4+(-y)- -5/8?
Answer:
- 2.775 - y
Step-by-step explanation:
-3.4+(-y)- -5/8
Note: (1) + × - = -
2) - × - = +
3) - × + = -
Therefore
-3.4+(-y)- -5/8
= -3.4 - y + 5/8
-3.4 - y + 0.625
Collect like terms
0.625 - 3.4 - y
= - 2.775 - y
I hope this was helpful, please mark as brainliest
Is parallelogram HIJK a rhombus?
Answer:
yes it is
Step-by-step explanation:
A shipping company damaged 15 packages. Each package was valued at $175.50. Which expression represents this situation?
A. 15 x (-$175.50)
B. 15 + $175.50
C. 15 – $175.50
D. 15 ÷ (-$175.50)
Answer: A
Step-by-step explanation:
15 packages damaged. Cost is -175.50 this is a loss. So 15x(-175.50)
Expression represents the situation of shipping company damages is 15 x (-$175.50).
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, a shipping company damaged 15 packages and each package was valued at $175.50. Hence,
Expression that represents this situation = 15 * 175.50
this value will be in negative since its a loss.
Therefore, The expression 15 x (-$175.50) depicts the state of the transportation company's damages.
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HELP PLEASE!
Evaluate the expression when x= 4 and y = 9.
5xy + 9x
——
y
Answer:5×4×9/9 +(9(4))
=180/9 + (36)
= 20+36
=56
Thank You
Answer:
24
Step-by-step explanation:
The solution to the question above is solved thus:
[tex] \frac{5xy + 9x}{y} [/tex]
Given that x = 4 and y = 9, substitute the values in the question thus:
[tex] \frac{5(4)(9) + 9(4)}{9} [/tex]
[tex] = \frac{5 \times 4 \times 9 + 9 \times 4}{9} [/tex]
[tex] = \frac{180 + 36}{9} [/tex]
[tex] = \frac{216}{9} [/tex]
[tex] = 24[/tex]
What is the closed linear form for this sequence given a1 = -15 and an + 1 = an - 8?
Answer:
[tex]a_n=-8n-7[/tex] is the closed linear form of the given sequence.Step-by-step explanation:
Given that [tex]a_1=-15[/tex] and [tex]a_{n+1}=a_n-8[/tex]
To find the closed linear form for this given sequence :So each of the successive term of the given sequence is decreases by 8
Therefore the common difference is -8
The given sequence is a arithmetic sequence.
The general form is [tex]a_n=a_1+(n-1)d[/tex]
Substitute [tex]a_1=-15[/tex] and d=-8 in [tex]a_n=a_1+(n-1)d[/tex] we get
[tex]a_n=-15+(n-1)(-8)[/tex]
[tex]=-15-8n+8[/tex]
[tex]a_n=-8n-7[/tex]
Therefore [tex]a_n=-8n-7[/tex] is the closed linear form of the given sequence.Answer:
c) an=-7+8n
Step-by-step explanation:
i got it wrong and it told me the right answer so ill make sure you guys don't get it wrong :3
you have 480 roses and 24 of them dies, how many per cent died?
Answer:
5%
Step-by-step explanation:
5% of the roses died.
480 roses = Total number of roses
24 roses = number of roses that died
24 roses that died as a percent of 480 the total is:
24/480*100= 5%
To find the percent of roses that died, we take the number of roses that died and divide it by the total amount of roses there are and multiply it by 100 to find the percent.
Final answer:
To find out the percentage of roses that died, you can use a proportion where 24 out of 480 roses is equal to x out of 100, and solve for x, resulting in 5% of the roses that died.
Explanation:
To calculate the percentage of roses that died, you can set up an equivalent fraction that compares the number of dead roses to the total number of roses, with 100 as the denominator. In this case, 24 roses died out of 480. The fraction for this scenario is 24/480, and you want to find out how this fraction translates to a percentage.
To do this, you would set up a proportion like this:
24/480 = x/100
Cross-multiply to solve for x, which represents the percentage of dead roses:
24*100 = 480*x
2400 = 480*x
x = 2400/480
x = 5
So, 5% of the roses died.
The table below shows the times and task that must be done to host a party at your house.
Task
Prerequisites
Time
hours
0
0.5
None
0.3
None
25.
AB
Start
A. Create a guest list
B. Create a list of snack foods, party
favors, and decorations
C. Purchase/Male Invitations, snacks,
decorations, party favors.
D. Mail invitations at the post office
E. Wait for response to the RSVP on
the invitation
F. Clean the apartment
G. Decorate for the party.
H. Cook and set out snades
I Get Dressed and Ready
J. Host the Party.
K. Clean Up.
Finish
1.0
36.0
3.5
1.2
UA
GH
1.0
3.5
How long does it take to create the guest list?
O 0.5 hours
1 hour
0.3 hours
1.5 hours
Answer: A) 0.5 Hours
I got it correct!
Solve this equation with a variable term on both sides:
5.1y + 21.3 = –0.3y – 24.6
What is the solution?
y =
Answer:
-8.5
Step-by-step explanation:
5.1y + 21.3 = -0.3y - 24.6
get the equation to one side and have so it y is positive
5.4y + 45.9= 0
Then subtract 45.9 to the 0 so its like this
5.4y = -45.9
then devide -45.9/5.4
answer y= -8.5
Answer:
-8.5
Step-by-step explanation:
What do i do on this.
Answer:
Step-by-step explanation:
[tex]\frac{6-4x}{y^{4}}=\frac{6-4*(-7)}{2^{4}}\\\\=\frac{6+28}{16}\\\\=\frac{34}{16}\\\\=\frac{17}{8}\\\\=2\frac{1}{8}[/tex]
Find the minimum value of
C = x + y
subject to the following constraints:
2x + y = 20
2x + 3y = 36
X=0
Y=0
Answer:
14
Step-by-step explanation:
2x + y = 20 (1)
2x + 3y = 36 (2)
(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20
⇔ 2y = 16
⇔ y = 8 (3)
From (3) and (1), we have:
2x + y = 2x + 8 = 20
⇔ 2x = 12
⇔ x = 6
So: C = x + y = 6 + 8 = 14
Conclusion : C = 14
Brainliest, please?
The minimum value of the function C = x + y, under the given constraints, is 0. This is obtained when both x and y are equal to 0. If the constraints 2x + y = 20 and 2x + 3y = 36 are considered, the value obtained is 16, which is larger.
Explanation:To solve this problem, we need to substitute the values of x and y into the function C = x + y and then find the minimum. As our initial constraints state x=0 and y=0, we can try these values first. C at (x = 0, y = 0) is 0 + 0 = 0.
The above scenario considers only the initial constraints x=0 and y=0.So, let's consider the constraints 2x + y = 20 and 2x + 3y = 36. We can solve these two equations simultaneously to get the values of x and y. When we solve them, it results x = 4 and y = 12. Substitute these values in the function C = x + y, we get C = 4 + 12 = 16.
Therefore, comparing the values obtained, the minimum value of the function C = x + y, subjected to the given constraints, is 0 when both x and y are 0.
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In Mr. Williams' 2nd hour class, 40% of the students scored a 85% or higher on a quiz. If 20 students scored a 85% or higher on the quiz, how many students are in Mr. Williams' 2nd hour class?
Answer:
50 students
Step-by-step explanation:
40% of total students = 20
"of" means multiply
[tex]40\% \times \ total = 20\\\frac{40}{100} \times \ total = 20\\\\0.40 \times \ total = 20\\total = \frac{20}{0.4}\\\\total = 50[/tex]
What is the Area of a triangle with the base of 4 cm and the height of 8 cm?
Step-by-step explanation:
[tex]area \: of \: triangle \\= \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 4 \times 8 \\ = 2 \times 8 \\ = 16 \: {cm}^{2} \\ [/tex]
Please help are these answers correct.
Answer:
answer sheet please give me brainly
Step-by-step explanation:
1. the answer is -1 • (7r + 6)
2. that answer is right
3. that answer is right
4. the answer is 3h - 16
5. the answer is 8 • (6 - 7s)
6. that answer is right
7. the answer is -9 • (6r + 5)
8. the answer is -14r - 43
9. the answer is 49z - 18
10. the answer is 14 + b
Answer:
tttttt
Step-by-step explanation:
ttytddfgfdgfgfdg
Solve for y: 4(2y-1) = 3y + 9
Answer:
4 (2y-1)=3y+9
-2y. -2y
4 (1)=1y+9
-1. -1
4=1y+8
÷4. ÷4
0=1y+2
Answer:
y = 2.6
Step-by-step explanation:
in order to solve for y in the equation 4(2y-1) = 3y + 9
we fisrt open the bracket according to BODMAS rule
4(2y-1) = 3y + 9
8y - 4 = 3y + 9
the next strp is to collect the like terms
8y -4 -3y = 9
please note that when ever you are taking a positive number across the equall to sign it changes to negative (-) same thing applies to negative sign it changes to positve(+) respectively
8y-3y = 9 + 4
5y = 13
divide both ides by 5
5y/5 = 13/5
y = 2.6
Edith babysits for x hours a week after school at a job that pays $4 an hour. She has accepted a
job that pays $8 an hour as a library assistant working y hours a week. She will work both jobs.
She is able to work no more than 15 hours a week, due to school commitments. Edith wants to
earn at least $80 a week, working a combination of both jobs.
Write a system of inequalities that can be used to represent the situation.
Graph these inequalities on the set of axes.
Determine and state one combination of hours that will allow Edith to earn at least $80 per week
while working no more than 15 hours.
Answer:
Part A) The system of inequalities are
[tex]x+y\leq 15[/tex]
[tex]4x+8y\geq 80[/tex]
Part B) The graph in the attached figure
Part C) see the explanation
Step-by-step explanation:
Part A) Write a system of inequalities that can be used to represent the situation.
Let
x ----> the number of hours worked as a babysitter
y ----> the number of hours worked as a library assistant
we know that
She is able to work no more than 15 hours a week
so
[tex]x+y\leq 15[/tex] -----> inequality A
Edith wants to earn at least $80 a week
The word "at least" means " greater than or equal to"
so
[tex]4x+8y\geq 80[/tex] ----> inequality B
Part B) Graph these inequalities on the set of axes.
Using a graphing tool
The solution of the system is the triangular shaded area in the attached figure
Part C) Determine and state one combination of hours that will allow Edith to earn at least $80 per week while working no more than 15 hours
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities. (The ordered pair lie in the shaded area of the solution set)
Looking at the graph
The ordered pair (4,9) lie in the shaded area
Verify if the ordered pair satisfy both inequalities
Inequality A
[tex]4+9\leq 15[/tex]
[tex]13\leq 15[/tex] ---> is true
so
The ordered pair satisfy the inequality A
Inequality B
[tex]4(4)+8(9)\geq 80[/tex]
[tex]88\geq 80[/tex] --> is true
so
The ordered pair satisfy the inequality B
therefore
The ordered pair is a solution of the system
(4,9)
That means
The number of hours worked as a babysitter in a week is 4 and the number of hours worked as a library assistant in a week is 9
Edith can babysit for 5 hours and then work for 10 hours as the library assistant in a week so as to earn at least $80 a week
InequalityAn inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let x represent the number of hours at the $4 job and y represent the number of hours at the $8 job, hence:
x + y ≤ 15 (1)
Also:
4x + 8y ≥ 80 (2)
Graphing the inequality, the solution is at:
(5, 10)
Edith can babysit for 5 hours and then work for 10 hours as the library assistant in a week so as to earn at least $80 a week
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Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a snack.
Answer:
Movie tickets are $9. Snacks are $2
Step-by-step explanation:
2m+3s=24
18+6=24