Answers
Answer:
433 m²
Step-by-step explanation:
Find the side length of the square first.
Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.
[tex] \sqrt{ {12}^{2} - {9.6}^{2} } [/tex]
=[tex] \sqrt{51.84} [/tex]
= 7.2 m
Therefore the side of the square is
7.2 ×2
= 14.4 m
The area of the square
= 14.4²
= 207.36 m²
You are able to find the area if of the 2 triangles.
(7.2 × 9.6)÷2 ×2
= 69.12 m²
The height of the pentagon
= 25.4 - 7.2
= 18.2 m
The area of the pentagon
= (10+7.2) × 18.2 ÷ 2
= 156.52 m²
Add up the areas of the 3 polygons.
The area of the shape
= 207.36 + 69.12 + 156.52
= 433 m²
Related Questions
The following are the last 10 run scores Colin got in cricket:
18, 9, 7, 35, 30, 21, 33, 12, 30, 31
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 27 runs.
What is his new mean score?
Give your answers as decimals.
Answers
Answer:
a) 22.6
b) 23
Step-by-step explanation:
a)
Step 1: 18 + 9 + 7 + 35 + 30 + 21 + 33 + 12 + 30 + 31 = 226
Step 2: 226/10 = 22.6
b)
Step 1: 226+27 = 253
Step 2: 253/11 = 23
3 feet
1 foot
2 feet
A package is shaped like a right rectangular prism. Use the dimensions shown to find the surface area of this package.
A)6 square feet
B)12 square feet
C)20 square feet
D)22 square feet
Answers
Answer:
The surface area is 22 square feet
Step-by-step explanation:
For a right rectangular prism, we have the formula for the area as;
A = 2(lb + lh + bh)
Accordingly, we have l as the length, b as the breadth and h as the height
Using the given dimensions, we have
A = 2(3(1) + 3(2) + 1(2))
A = 2(3 + 6 + 2)
A = 2(11) = 22 square feet
The coordinate plane shown below shows the locations of the library and park in the town where Rasheed lives.
Which expression represents the distance from the library to the park as modeled on the coordinate grid?
A. 5 + 3
B. 5 + -3
C. 5 - -3
D. -5 - -3
Answers
Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.
Answers
Answer:
25 minutes
Step-by-step explanation:
let x represent total time when both containers to have the same amount of water.
the equation to represent container A = 200 + 6x
the equation to represent container B = 500 - 6x
Because both containers would have the same amount of water, the two equations would be equal to each other
200 + 6x = 500 - 6x
collect like terms
12x = 300
x = 300/12
x = 25 minutes
I need help no links 20 points
Answers
Answer:
t x 1/8 = n 1/8 = 0.125 in decimal form!!
Step-by-step explanation:
Jada earns $7 per hour mowing her neighbors’ lawns. Identify the independent variable in this situation, and write the letter that you would like to use to represent it.
And Identify the dependent variable and write the letter that you would like to use to represent it.
Answers
You could use any letter to represent it but I would use l for lawn
The dependent variable would be the amount I earn, $7,
Again you could use any letter to represent it but I would use d for dollar
Analia is a school district manager. Here are some details about two schools in her district for the last school year:
School A School B
Number of students 300030003000 400040004000
Number of teachers 190190190 380380380
Graduation rate 86\%86%86, percent 90\%90%90, percent
Budget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000
% of students in sports club 62\%62%62, percent 68\%68%68, percent
Number of sports medals won 999 777
SAT average 120012001200 105010501050
SAT range (max-min) 900900900 700700700
Analia wants to know which school has the lower SAT range relative to the resources invested per student (lower, as SAT range is a measure of inequality, which we want to minimize as much as possible).
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
Answers
SAT average divided by teachers per student
Question 2:
Yes. According to both definitions, school A has the higher SAT average relative to the resources invested per student.
What is the probability of flipping a coin 7 times and getting heads 5 times? Round your answer to the nearest tenth of a percent.
Answers
Probability of a head, P(H) = 1/2 = 0.5
Probability of a tail , P(T) = 1/2 = 0.5
The number of possible outcomes is small enough to simply list the outcome:
The possible outcomes of flipping a coin 7 times and getting heads 6 times are these 7 possibilities:
THHHHHH
HTHHHHH
HHTHHHH
HHHTHHH
HHHHTHH
HHHHHTH
HHHHHHT
The probability of EACH of the above outcomes is
= (0.5)(0.5)(0.5)(0.5)(0.5)(0.5)(0.5)
= (0.5)⁷
Since there are 7 possibilities and since the probabilities of every outcome is identical, the probability of rolling the 7 outcomes is,
= 7 x probability of each outcome
= 7 x (0.5)⁷
= 0.5468
= 5.468%
= 5.5% (nearest tenth)
who can help me? Pleaseee
Answers
Answer:
x = 6
Step-by-step explanation:
2x + 29 = 9x - 13
29 = 7x - 13
42 = 7x
6 = x
2 * blank equals 6.5
Answers
Answer:
3.25 or 3 and 1/4
Step-by-step explanation:
The algebraic equation is 2x = 6.5.
Divide by 2 to get your answer.
6.5 divided by two is 3.25.
x = 3.25
Answer:
3.25
Step-by-step explanation:
just take away the 25 and multiply it that way
Plz give me brainllest
i will need the answer for this
Answers
Answer:
Hello! r would equal 0.4. To do this, first subtract 4 from both sides. So (10r+4-4=8-4). You are then left with 10r=4. So then you divide both sides by 10. 10r/10=4/10. So you are left with 0.4. r=0.4
Step-by-step explanation:
What number must you add to complete the square?
X2 + 12x = 40
x2
o
A. 36
B. 20
(
C. 6
O
O
D. 5
х
Answers
Answer:
36
Step-by-step explanation:
x^2 + 12 x = 40
To complete the square, take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 to each side
Need help fast!!!
Use the number line to compare the numbers.
Drag and drop the numbers to place them in increasing order.
Answers
Answer:
the sequence of numbers starting left to right is: -2 -1.6 -1 -1/6 0 3/7 0.6 1 2
Step-by-step explanation:
Answer:
Ok so -1.6 goes in between -2 and -1. Then -1/6 goes in between -1 and 0. Then 0.6 goes between 0 and 1. And last 3/7 goes between 1 and 2.
Step-by-step explanation:
hope this helps you :)
What does r equal A B C or D
Answers
Answer:
b i think
Step-by-step explanation:
19. Find x:
€ (17x-7)*
G
19
HELP W ALL 3 !!
Answers
Answer:
24
(17x-7)
x = 7 + 17
x = 24
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Type the correct answer in each box. Use numerals instead of words. If necessary, useType the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows. / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows.
Answers
Answer:
m = x / n
n = 15
Step-by-step explanation:
Number of chairs per row = m
Number of rows = n
Number of people = x
Number of chairs per row, m = number of people, x / Number of rows, n
m = x / n
If number of attendees, x = 60 ;
Number of chairs per row, m = 4
The number of rows, n = number of attendees / number of chairs per row, m
Hence, n = 60 / 4 = 15 rows
(2N/6N+4) (3N+2/3N-2
Answers
Do you need all the process?
12.
Find whether p = 2 and p=3 are solutions for the equation
7 (p+2)=5 (p+4) ? Justify?
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
7(p+2)=5(p+4)
By distributive law
The eqn becomes :
7p + 14 = 5p + 20
collecting like terms ;
7p - 5p = 20 - 14
=> 2p = 6 and
:- P = 3 ( dividing both sides by 2)
P= 3 is the only solution to the equation above and it satisfies the equation.
Find the missing side length in the following Pythagorean Triple:
7 - ? - 25
Answers
jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?.
Answers
Answer:
38 miles
Step-by-step explanation:
456 ÷ 12 = 38
give me brainllest
There are 30 students in a class. Which equations represent the situation if the number of boys
is b and the number of girls is 7? Select all that apply.
A. b x 30 = 7
B.b = 30- 7
C. b = 30 + 7
D. b +7 =30
E. b x 7 =30
Answers
Step-by-step explanation:
A. b x 30 = 7E. b x 7 =30C. b = 30 + 7
Find x.
Do not round your answer.
12 cm
6 cm
Answers
Answer: 16.6
Step-by-step explanation:
b(a+b)= d(c+d)
6(12+6)=5(x+5)
6(18)=5x+25
108=5x=25
-25
83=5x
divided by 5
Equals 16.6
Your soccer team is holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction.
A tablet that costs $350
Football tickets that cost $150
A gift card that cost $125
The cost of the food is $500
The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 45 tickets will pay for the cost of the prizes and food.
Build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build this function.
Answers
Answer:69
Step-by-step explanation:
A) $16
B) p(x) = 16x -800
C) 69 ticketsn:
A) The total of expenses is ...
$280 +100 +20 +400 = $800
If this is covered by 50 tickets, then a ticket must provide revenue of ...
$800/50 = $16
The cost per ticket is $16.
__
B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...
p(x) = 16x -800
__
C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...
p(x) ≥ 300
16x -800 ≥ 300 . . . . . use the expression for p(x)
16x ≥ 1100 . . . . . . . . . add 800
x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)
In order to raise at least $300, the number of tickets sold must be at least 69.
Find the sum of the zeros in the following equation:
Y=(2x – 1) (x + 4) (2x– 3) (x– 1)
Answers
1. Find the area of the parallelogram.
What is the area?
Answers
Answer:
67.5[tex]in^{2}[/tex]Step-by-step explanation:
Area of a parallelogram is base x height
The base of the given parallelogram is 9 inches and the height is 7.5 inches
So, its area would be
9 x 7.5
Area equals [tex]67.5^{2}[/tex]
9. Find DP
please help!!!!!!
Answers
Answer:
DP = 15.
Step-by-step explanation:
I am assuming that DP EP and FP are peroemdicular bisectors of the sides of ABC.
D is the midpoint of AB so
2x + 14 = 8x - 52
14+52 = 8x - 2x
6x = 66
x = 11.
So side AD = 2(11) + 14 = 36.
Now PC = PA = 39.
So by pythagoras:
DP^2 = AP^2 - AD^2
= 39^2-36^2 = 225
DP = sqrt 225
= 15.
Three friends ordered personal-sized pizzas for lunch. Lucia ate 2/3 of her pizza, Allie ate 1/4 of her pizza, and Carolina ate 2/5 of her pizza. Which statement correctly compares the amount of pizza that the friends ate?
Answers
Answer:
They have atleast two or one left
WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!
WHAT IS THE AMPLITUDE OF THIS FUNCTION
Answers
your answer should be three.
~iwa-chan
David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.
Answers
Step-by-step explanation:
after he buys everything he has 170.83 ( total 340.17) 73.43 times x
Rosa earned a total of $34 by selling 17 cups of lemonade. How many cups of lemonade does Rosa need to sell in all to earn $46? Assume the relationship is directly proportional.
Answers
Answer:
23
Step-by-step explanation:
Because 2 dollar each cup. so 2 times 23 is $46. 5 star if this help thanks:)
