Two semicircles are attached to the sides of a rectangle as shown.
(WILL GIVE BRAINLY IF RIGHT)
What is the approximate area of this figure?
Use 3.14 for pi.
Enter your answer in the box. Round only your final answer to the nearest whole number.
Answers
Answer:
157 in²Step-by-step explanation:
The area of the shape is the sum of three sections
1. Rectangle
A = 5*14 = 70 in²2. Bigger semicircle
A = 1/2π(14/2)² = 76.96 ≈ 77 in² (rounded)3. Smaller semicircle
A = 1/2π(5/2)² = 9.8174 ≈ 10 in² (rounded)Total area:
70 + 77 + 10 = 157 in²answer:
157 inches²
step-by-step explanation:
we have to break this down into parts and find the area of each part and then add them up so we have the area for the whole thingrectangle:
5 X 14 = 70 inches²
big semicircle:
solve this like a simple circle and then divide by 2 since this is halfarea = πr²
insert what we know from the questionarea = (3.14)(7)²
the radius would be seven because as you can see the length of a side of the rectangle is 14 and this is also the diameter of the circle since they are attached and share itthe radius is half of the diameter so we get 7area = 3.14(49)
= 153.86 inches²
now divide this by 2 since it is semicircle153.86 / 2 = 76.93 inches²
small semicircle:
area = (3.14)(2.5)²
i followed the same method as last, except the numbers are differentarea = 3.14(6.25)
= 19.625 inches²
now divide by 219.625 / 2 = 9.8125 inches²
finally, add up all the separate areas you got70 inches² + 76.93 inches² + 9.8125 inches²
= 156.7425 inches²
= 157 inches²
Related Questions
A teacher is planning a class trip to the aquarium. The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, and how many are for students?
Answers
Answer:
75 student tickets and 10 chaperone tickets
Step-by-step explanation:
First find out how many groups there are total by dividing 85 by 1 group total of 17 (15 students 2 chaperones).
85 / 17 = 5
Since you now know there are five groups of 15 students and 2 chaperones all you have to do is multiply 5 time 15 students and 5 times 2 chaperones.
15 x 5 = 75 for students
5 x 2 = 10 for chaperones
1 point
When solving the system of equations below, what is the appropriate
substitution?
7x + 10y = -1
x = 5y - 8
O 7x + 10(5y - 8) = -1
7x + 10y = 5y - 8
O 7(5y - 8) + 10y = -1
O -1 = 5y- 8
Answers
A printer is printing photos . For every 8 photos , the printer takes 4 minutes . Complete the table below showing the number of photos and the time it takes to print them. (The table is in the photo)
Answers
Answer:
12 . 18
7 . 10
Step-by-step explanation:
#3. Write the slope-intercept equation of
the line
Answers
Answer:
y = - 4x + 5
Step-by-step explanation:
(y-1)/ (5-1) = (x-1)/(-1)
y-1 / 4 = -x+1
y-1 = -4x+4
y = - 4x + 5
A football field measures 100m by 72m . A school marks a football field similar in shape to a full size football field but only 30m long . What is its width ?
Answers
Answer: 240 m
Step-by-step explanation:
Given
Football field measures [tex]100\ m\times 72\ m[/tex]
Another similar field of length
[tex]L=30\ m[/tex]
and width, say W is marked
So, their area must be the same
[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]
The width of the football field is 41.7m
The football measures 100m by 72 m. The school football field is similar.
Similar rectanglesFor similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:
100 / w = 72 / 30cross multiply
3000 = 72w
divide both sides by 72
w = 3000 / 72
w = 41.6666666667
w = 41.7 m
learn more on proportion here: https://brainly.com/question/582443
A trapezoid has base lengths of 2.5 inches and 10 inches and an altitude of 8 inches. What is the area of the trapezoid?
Answers
Answer: 50 inches
Step-by-step explanation:
It costs $32 per day to rent a medium-sized car, plus $0.25 for each mile driven over 150 miles. The equation that represents this situation is y = 0.25x + 32, where y represents the total cost of renting a car, and x represents the number of miles driven over 150 miles.
a.) What is the slope and what does it represent in the context of this problem?
b.) What is the y- intercept and what does it represent in the context of this problem?
Answers
Answer:
Read explanation
Step-by-step explanation:
A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.
B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.
The ratio of pitchers to catchers at a baseball camp was 11:4. If there were 64 catchers, how many pitchers were at the camp?
Answers
Answer:
There were 176 pitchers at the camp.
Step-by-step explanation:
Given that,
The ratio of pitchers to catchers at a baseball camp was 11:4.
Let pitchers be 11x and catachers be 4x.
Total catchers = 64
4x = 64
x = 16
So,
Pitchers = 11x
= 11(16)
= 176
Hence, there were 176 pitchers at the camp.
look at triangle ABC
ABD is an isosceles triangle where AB=AD
work out sizes of angle x,y and z
Answers
Answer:
Step-by-step explanation:
x+110=180
x=70 degrees
y+40+110=180
y=30 degrees
z+70+90=180
z=20 degrees
HELP ASAP PLEASE!!!
What is the degree measure of ABC given that A=25 & C=135?
Answers
Answer:
m∠ABC = 110°
Step-by-step explanation:
By the property of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles"
m∠BAC + m∠ABC = 135°
25° + m∠ABC = 135°
m∠ABC = 135° - 25°
= 110°
Therefore, measure of angle ABC is 110°.
An initial investment of $1000 grows at an interest rate of 4% per year. How long will it take that investment to reach $1,500? Assume that you make no further deposits or withdrawals from the investment account. Round to the nearest tenth of a year.
Answers
Answer:
it would take 12.5 or 12 and a half years
Step-by-step explanation:
Identify proportional relationships
At the beginning of the year. Adrian's savings account balance was $28. Each week, he deposits another $15
into that account, and he doesn't spend any of his savings.
Is his savings account balance proportional to the number of weeks since the start of the year?
Choose 1 answer:
Yes
No
Dort byoblem
Stuck? Watch a video or use a hint.
Answers
9514 1404 393
Answer:
No
Step-by-step explanation:
The initial balance at the beginning of the year is not zero, so the balance is not proportional to the time since the beginning of the year.
__
A proportional relationship always starts at zero when the independent variable is zero.
Jacie is serving steak and chicken she wants to have at least 20 pounds of meat. Steak is $8 per pound and chicken is $4 per pound . Jacie wants to spend at most 120 dollarss on meat
Answers
Answer:
She can get 10 pounds of steak and 10 pounds of chicken.
Step-by-step explanation:
As Jacie wants to have at least 20 pounds of meat, you can write the following equation:
x+y=20, where
x refers to the pounds of steak
y refers to the pounds of chicken
Also, since the statement indicate that the steak is $8 per pound and chicken is $4 per pound and Jacie wants to spend at most 120 dollars on meat, you can write the following equation:
8x+4y=120
So, you have the following equations:
x+y=20 (1)
8x+4y=120 (2)
Now, you can solve for x in (1):
x=20-y (3)
Then, you can replace (3) in (2) and solve for y:
8(20-y)+4y=120
160-8y+4y=120
160-120=8y-4y
40=4y
y=40/4
y=10
Finally, you can relace the value of y in (3) to find x:
x=20-y
x=20-10
x=10
According to this, the answer is that she can get 10 pounds of steak and 10 pounds of chicken.
When Josh and Sean were each 5 years old, Josh was 1.5 inches taller than Sean. Josh grew at an average rate of 2.75 inches per year from the time that he was 5 years old until the time he was 13 years old. Josh was 63 inches tall when he was 13 years old. How tall was Sean when he was 5 years old?
A. 39.5 inches
B. 42.5 inches
C. 44.75 inches
D. 47.75 inches
Answers
Step-by-step explanation:
josh is 1.5 inches taller than sean
so, let sean's height be x
sean = x
josh = x + 1.5
each year josh gain 2.75 inches, and now he's 13 so how many year has passed
13 y - 5 y = 8
then how tall he grew
2.75×8=22
x + 1.5+22=63
x=63-22-1.5
x=39.5
please help!!! it’s due at 10:00am
Answers
Answer:
False, True, False
True first one
True second one
False third one
If P is the incenter of triangle JKL, find PJ.
Answers
Answer:
PJ = 41.34
Step-by-step explanation:
P is incenter, three angles bisector meet
∠MJP ≅ ∠OJP
PM = PN = PO = 22 (radius: property of incenter)
∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO
ΔJPM ≅ ΔJPO (ASA) or (SAS)
LM = JO
2x + 3 = 5x - 45
3x = 48
x = 16
JM = 35
PJ = √35²+22² = √1709 = 41.34
The value of PJ in triangle KJL is 41.32 units.
What is incenter?The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.
Given that, P is incenter of the triangle KJL,
Considering the triangles ΔMJP and ΔOJP
PM = PO (property of incenter)
∠ JMP ≅ ∠ JOP
JP is common segment.
ΔJPM ≅ ΔJPO (by SAS rule)
JM = JO (CPCTC)
2x + 3 = 5x - 45
3x = 48
x = 16
JM = 35
Using the Pythagoras theorem,
PJ² = PM²+JM²
PJ = √35²+22² = √1709 = 41.34
Hence, The value of PJ in triangle KJL is 41.32 units.
For more references on incenter, click;
https://brainly.com/question/29480777
#SPJ5
Find the mean of the following set of data: 12, 8, 7, 12, 6
Answers
Answer: 9
Step-by-step explanation:
12 + 8 + 7 + 12 + 6 = 45
There are 5 numbers
45 / 5 = 9
Answer:
mean = 9
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] , then
mean = [tex]\frac{12+8+7+12+6}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9
WILL MARK BRAINLIST!!!!!!!!!
Answers
Give two solutions of the inequality: p ≤ 3
Answers
Answer:
3,2
Step-by-step explanation:
3 is equal to 3 which can be it and 2 is less than 3
Please help marking Brainiest
Answers
Answer:
the answer is y=30x
Step-by-step explanation:
however many inches times 30 is the consistent answer to the equation
Answer:
y=30x
Step-by-step explanation:
We can start out by writing our slope-intercept form equation: y=mx+b. In this case, our y-intercept is 0, so we can write y=mx.
Let's find the slope. We can take the points (1,30) and (2,60). We can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find our slope. Plug these values in, and we get [tex]\frac{60-30}{2-1}[/tex]. Evaluate this, and our slope is 30. So, our equation is y=30x.
Hope this helped!
Is y = 1⁄2(1/4)x growing or decaying
Answers
Answer:
Growth
Step-by-step explanation:
y = 1/8 x
Use the percent bar model to find the missing percent.
Answers
7/10 times 10 is 70/100 which is 70 %
Help me with this!!!!
Answers
Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.
WILL MARK BRAINLIEST IF GOTTEN RIGHT IF YOU GET IT WRONG ON PURPOSE I WILL REPORT YOU
Answers
Answer:
B) cos Z = 15/17
Step-by-step explanation:
cos Z = 30/34 = 15/17
Quadrilateral QRST has diagonals that are perpendicular but not congruent. Which type of quadrilateral could describe quadrilateral QRST?
Answers
Answer:
Rhombus
Step-by-step explanation:
This undoubtedly has to be a rhombus. When you look at other quadrilaterals for example and want to judge and or differentiate, we see that in the case of a square, the diagonals are equal to one another and they are not congruent. Same can be applied to that of a rectangle as well, it's diagonals aren't congruent, even if they appear perpendicular.
On the other hand, the diagonals of a rhombus is both perpendicular, and at the same time congruent. And thus, that's our answer
please help i’ll give brainless
Answers
Answer:
1. 12
2. 31
3. 37
4. 87
The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3.14 for π.
Answers
Answer:
1,436.8
Step-by-step explanation:
What inverse operation do you use to solve for m?
11=m - 4
Answers
Answer:
I would use addition
Step-by-step explanation:
Since addition is the opposite of subtraction.
Answer:
Addition
Step-by-step explanation You would use addition because you can cancle out the numbers that way
if 100g can make 24 cakes, how much flour is needed to make 48?
Answers
Answer:
200g
Step-by-step explanation:
24x2=48
100x2=200
please help me ill mark you brainliest and show your work please
Answers
5/8(4x-16)=203
5/8 x 4(x-4)=203
5/2 x (x-4)=203
5/2x-10=203
5x-20=406
5x=406+20
5x=426
x=426/5
x=85 1/5
which is none of the options so you’re gonna have to tell me what it equals to so i can give you the right answer.