7 grade math Area of compound figures with triangles, semicircles, and quarter circles
Answers
Answer:
area = 250.04 km^2
Step-by-step explanation:
In the image, we have the next figures.
One quart of a circle, with radius R = 12km
A large rectangle, with length L = 13km and width = 9 km
(to find the width of this rectangle, look at the bottom, we have a part of 5km, and then we have the small rectangle with a width of 4km, then 4km + 5km = 9km)
And finally, a smaller rectangle with length L = 5km and width W = 4km
Now, the general rules for each figure are:
The area of a circle of radius R, is
A = pi*R^2
with pi = 3.14
Here we have the fourth part of a circle with a radius R = 12km
Then the area of that part is:
area = (1/4)*3.14*(12km)^2 = 113.04 km^2
And the area of a rectangle of length L and width W is:
A = W*L
Then, the area of the larger rectangle is:
A' = 9km*13km = 117 km^2
And the area of the smaller rectangle is:
A'' = 4km*5km = 20km^2
The complete area of the figure is:
area = A + A' + A'' = 113.04 km^2 + 117 km^2 + 20km^2 = 250.04 km^2
Related Questions
Neddd heeelllpppppppo
Answers
Answer:
what's the problem
Step-by-step explanation:
.............
In each figure below find m∠1 and m∠2, if a||b. Show your work with statements.
Answers
Answer:
<1 = 130
<2 = 50
Step-by-step explanation:
<1 = 130 since it is an alternate interior angle and alternate interior angles are equal when the lines are parallel ( a is parallel to b)
<1 + <2 = 180 since the form a straight line
130+ <2 = 180
<2 = 180-130
<2 = 50
Answer:
Solutions given:
m<1=130°[alternate angle are equal]
again
m<1+m<2=180°[linear pair]
m<2=180°-130°
m<2=50°
A carpenter is constructing a staircase in a house. The distance from the first floor to the basement is 9.2 feet. The staircase will be 13.3 feet long. What angle do the stairs make with the basement floor?
Answers
Answer:
43.77°
Step-by-step explanation:
The height, h = first floor to basement = 9.2 feets
Length of staircase = hypotenus = 13.3 feets
Angle stacase makes with basement floor, θ
Using trigonometry :
Sinθ = opposite / hypotenus
Opposite = height = 9.2 feets
Sinθ = 9.2 / 13.3
Sinθ = 0.6917293
θ = sin^-1(0.6917293)
θ = 43.77°
Charles says that the number line shows all the values that make the inequality
n2-1 true. Do you agree with Charles? Explain.
4 5
-3 -2 -1
0 1 2 3
Answers
Answer:
no
Step-by-step explanation:
n ≥ - 1
The inequality states that n is greater than or equal to - 1
To show the equal part on the number line the point at - 1 must be a solid circle, not an open one
No, the given number line does not represent the number line shown by Charles.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The inequality is given by Charles,
n ≥ -1
But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.
Thus, the given number line does not represent the number line shown by Charles.
Learn more about number line here:
brainly.com/question/17683084
#SPJ2
Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster?
Answers
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answers
Answer:
y= -4x
Step-by-step explanation:
What is the mode of the data set 46 47 52 55 64 69 70 78
Answers
the mode is the number that occurs most often, and none of the numbers occur more than once, so there is no mode
Can someone help me with this? Right answer gets brainliest!! :)
Answers
Answer:
(10 + s) / 4 =
Step-by-step explanation:
Answer:
(10+s)/4
Step-by-step explanation:
So first, you have to add 10+s. You have to put this in parentheses, since you have to divide 4 by the "result", which would be 10+s. So, the correct answer is (10+s)/4.
Hope this helped!!!! :D
Jenna ordered four pizzas for $8.55 each, including tax. If she wanted to give a
15% tip, what would her total bill be?
Answers
Given:
Cost of each pizza including tax = $8.55
Number of pizzas = 4
Tip = 15%
To find:
Her total bill.
Solution:
We have,
Cost of 1 pizza including tax = $8.55
Cost of 4 pizza including tax = [tex]4\times \$8.55[/tex]
= [tex]\$34.2[/tex]
It is given that she wanted to give a 15% tip. So, tip is 15% of $34.2.
[tex]\dfrac{15}{100}\times \$34.2=\$5.13[/tex]
Thus, the amount of tip is $5.13.
Now the total amount of bill is:
[tex]\text{Total amount of bill}=\text{Cost including tax}+\text{Tip}[/tex]
[tex]\text{Total amount of bill}=\$34.2+\$5.13[/tex]
[tex]\text{Total amount of bill}=\$39.33[/tex]
Therefore, the total amount of bill is $39.33.
What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%
Answers
Answer:
im going to say c 55%
Step-by-step explanation: please let me know if its wrong so i can fix it thanks
A=43
B=49
C=180-a-b
What is it
Answers
Answer:
C = 88
Step-by-step explanation:
if you add them all u can put them in this form 180 - (43) - (49) and then i got 88 your welcome :D
Which one is an example of an expression?
Answers
Answer:
Step-by-step explanation:
5x+5
Answer:
the first option will the correct answer
Is the histogram uniform symmetric or skewed
Answers
Answer:
skewed
Step-by-step explanation:
If 64x=82, what is the value of x?
Round your answer to three places.
Answers
Answer:
1.28
Step-by-step explanation:
First, you need to do 82/64, which will give you just x. Then, you need to round to three places. Without rounding it would be 1.28125
So with rounding it would be 1.28. Hope this helps and Happy learning!
Help ASAP please
estimate the solution of the linear system graphically and check the solution algebraically
x+y=-4
y=3x+16
A:(-5,1)
B:(10,-14)
C:(3,-7)
D:(4,-4)
Answers
Answer:
The solution would end up being: a. (-5,1)
Find the volume of this (I sent wrong picture)
Answers
Answer:
192 cm³
Step-by-step explanation:
V = w · h · l
4 · 6 · 8
192 cm³
Jason’s family drove 120 miles using 5 gallons of gas. At this rate, how many miles can they drive on 8 gallons of gas? Use the number-line diagram shown.
Answers
Answer:
192
Step-by-step explanation:
120/5=24
24x8=192
What is the answer for m?
Answers
Answer:
47
Step-by-step explanation:
94/2 = 47
Correct answer is A. 47 degrees
(3x+5)+5(3x+5)+6=0
what does x equal?
Answers
Answer:
x = -2
Step-by-step explanation:
3x + 5 + 15x + 25 + 6 = 0
18x + 36 = 0
18x = -36
x = -2
What two things are needed to create an algebraic equation? Provide an example of an algebraic equation.
Answers
Answer:
a variable and an equal sign
Step-by-step explanation:
example: 2x - 3 = 7
2x = 10
x = 5
Answer:
You will need a variable and the equation sign but letters are used in them too
so example of an algebraic equation:
2x+5 = -4-10
What is the quotient of 388.25 : 6.25?
Answers
Answer:
62.12
Step-by-step explanation:
Product and sum of 19 and -7
Answers
Answer:89
Step-by-step explanation:
Answer:
the answer is 89
Step-by-step explanation:
A company is thinking about offering employee wellness classes during operational hours to boost production. They want to perform an experiment to see if employees attending these classes improve their quality of work. What is the best way to randomly choose a group of employees to attend these classes?
Answers
Answer:
Use a computer software program that will pick employees randomly from a list.
Answer:
Use a computer software program that will pick employees randomly from a list
Step-by-step explanation
i took the test :)
Ade's family takes a road trip. They drive 65 miles a day for 12 days.
How far does Ade's family drive in the 12 days?
Answers
Answer:
780
Step-by-step explanation:
65 x 12 = 780
which number line shows the solution to a -5 > 3?
+
-6 -5 -4 -3 -2 -1 0
9
10 11
12
13
14
15
++
14 15
9
10
11
12
13
-6
6
-5
-4 -3 -2 -1 0
Answers
Answer:
WILL GIVE BRAINLIEST NO LINKS ANSWER ASAP
a taste test asks people from Texas and California which pasta they prefer brand a or brand b this table shows the results a person is randomly selected from those tested what is the probability that the person is from Texas given that the person prefers brand a
0.62
0.47
0.45
0.64
Divide using a common factor of 5 to find an equivalent fraction for ten tenths
one fifth
two fifths
five-tenths
two halves
Answers
Answer:
the correct answer is two halves
Step-by-step explanation:
10/10 divided by 5 is 2/2
What value from the set 4,5,6,7,8 makes the equation 4x + 3 = 23 true
Answers
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
4×5+3=23
this is the solution
Answer this question to get marked as barinliest!!!!!!
Answers
Answer:
2x to the 5th power
Find the gcf of 100 and 58
Answers
Answer:
2
Step-by-step explanation:
Find the prime factorization of 58
58 = 2 × 29
Find the prime factorization of 100
100 = 2 × 2 × 5 × 5
Therefore, GCF = 2
Answer:
The answer is 2. Knew this already.
What is Kim's monthly payments for a 5 year $21,000 car loan with an interest rate of
3.95%?
Answers
Answer:lol
Step-by-step explanation: get trolled
Answer:
519,750
Step-by-step explanation:
I think that's the answer, if it's wrong please let me know