the figure consists of a quarter circle and a parallelogram. what is the area of the composite figure? use 3.14 for . Round to the nearest whole number.
70in.²
84in.²
154in.²
224in.²
Answers
Answer:
224
Step-by-step explanation:
the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex], so for the circle plug in your numbers:
(3.14)([tex]14^{2}[/tex]) = 615.44
divide this by 4 because t=in the picture you only have a fourth of a circle:
615.44 / 4 = 153.86
the formula for area of a trapezoid is [tex]\frac{a + b}{2}[/tex] × h
so plug in your values: [tex]\frac{14+14}{2}[/tex] × 5
you get 70
add 70 and 153.22
70 + 153.22 = 223.22
this can round to 224
Related Questions
Use x for the unknown number.
Twice an unknown number added to 48 is six times the same unknown number.
Answers
Answer:
2x+48=6x
Step-by-step explanation:
PLEASE HELP! WILL GIVE BRAINLIEST!
Answers
Answer:
Answer is C
Step-by-step explanation:
Using SOH CAH TOA
Solve the equation.
-5r-1=7r+5
Answers
Answer:
r=-1/2
Step-by-step explanation:
(-5*-1/2=2.5)( 2.5-1=1.5) (7x -1/2= -3.5)-3.5+5 =1.5
I need help with my math homework
Answers
Answer:
See below, sorry for taking so long
Step-by-step explanation:
1.
A. Slope is rise over run or y2 - y1 divided by x2 - x1
We have (-5, 1) and (-3, 7)
7 - 1 / -3 - (-5)
6 / -3 + 5
6 / 2 = 3
Slope = 3
B. So point slope form is y - y1 = m(x - x1)
We know the slope so:
y - 1 = 3(x - (-5))
C. Using the point slope we can move things around to get slope-intercept:
y - 1 = 3(x + 5)
y - 1 = 3x + 15
y - 1 + 1 = 3x + 15 + 1
y = 3x + 16
D. Standard form is Ax + By = C:
y = 3x + 16
y - y = 3x + 16 - y
0 = 3x + 16 - y
0 - 16 = 3x + 16 - y - 16
-16 = 3x - y
3x - y = -16
A mail carrier travels at 15 miles per hour through a neighborhood. Which table
represents the distance the mail carrier travels in x hours?
2
G
H
0 1 3
yo 16 18
0 24
yo 30 55
x 135
y 15 45 75
x 134
y 15 40 55
Answers
Answer:
Step-by-step explanation:
the table is not copied correctly, I assume
the mail carrier will travel a distance of 15x
anyone help, please. CFA 8
S-IC.2: Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.
A drug manufacturer claims that 13% of the population of South Africa is living with HIV. As a World Health Organization researcher, you collect evidence to test this claim. You use statistical techniques to sample 125 random residents of South Africa and find that 20 of them test positive for HIV.
You plan to simulate one sample of 125 residents by randomly selecting 125 integers between 1 and 100.
From your actual sample of 125 residents, what proportion of the sample has HIV? 125
What do the randomly selected numbers represent? Why did you pick 125 of them? The number of residents
What assigned numbers indicate a simulated resident has HIV?
2. You plan to run 100 simulations, each with a random sample of 125 residents.
What do you think the true mean population proportion from the 100 simulations would be close to? Explain why.
Is this a simulation of an observational study or an experimental study? Explain why.
The margin of error for this study is about 0.06 or 6% around the population proportion. Are you able to support the claim of the drug manufacturer? Explain why or why not.
What could be done to make the margin of error smaller and get a better sample of the population? Why does that make sense?
Answers
Answer:
gooooooooooooooooo
Step-by-step explanation:
goooooooooooooooooop
1) The proportion of the sample that has HIV is 0.16. 2) The randomly selected numbers represent the HIV status of the simulated residents.
1. The proportion of the sample that has HIV is 20 / 125 = 0.16.
2. The randomly selected numbers represent the HIV status of the simulated residents. We picked 125 of them because that is the sample size of the actual study.
We can assign the numbers 1 to 13 to represent the simulated residents who have HIV. This is because 13% of the population is estimated to have HIV.
I think the true mean population proportion from the 100 simulations would be close to 0.13, the HIV prevalence rate that was estimated in the actual study. This is because the simulations are randomly generated, and the probability of a simulated resident having HIV is 13%.
This is a simulation of an observational study. This is because the researchers are not intervening in the lives of the simulated residents. They are simply observing the HIV status of the simulated residents.
The margin of error for this study is 0.06, which is 6%. This means that the true population proportion of people with HIV could be anywhere between 0.07 and 0.19. The drug manufacturer's claim that 13% of the population has HIV is within this range, so we cannot definitively support or refute their claim.
To make the margin of error smaller and get a better sample of the population, we could increase the sample size. This would give us more data points to work with, which would make our estimate of the population proportion more accurate. Additionally, we could stratify the sample by age, gender, or other factors that could affect the prevalence of HIV. This would help us to ensure that our sample is representative of the entire population.
To learn more about proportion here:
https://brainly.com/question/32027272
#SPJ2
What is the approximate surface area of the sphere? Round to the nearest hundredth and use 3.14 for 7. Recall the
formula SA-4x7
Answers
Answer:
Option (3)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area of a sphere = 4πr²
Here 'r' = Radius of a sphere
Since, r = 9 units and π = 3.14
Surface area of the sphere = 4(3.14)(9)²
= 1017.36 square ²units
Therefore, Option (3) will be the correct option.
Answer:
c
Step-by-step explanation:
on edge
Need Help this is my test! I will mark you as brainliest if you answer!!!
The relationship between the number of hours traveled and the number of miles traveled on a
family road trip is graphed below.
750
15. What is the ratio of hours to miles?
675
600
525
16. How many miles could the family travel
in a period of 12 hours?
450
MILES
375
300
17. About how many hours will it take the family
to travel 700 miles?
225
150
75
Maneuvering the Middle LLC, 2015
1
2
8 9
3 4 5 6 7
TIME (HOURS)
Answers
Answer:
15) The ratio of hours to miles is 1 hour to 75 miles; 1/75
16) They will have traveled 900 miles.
17) It will take them around 9 hours.
Step-by-step explanation:
15) Finding the unit rate of the trend (which in this case I considered to be line) can be done by finding the slope and simplifying it. There is a constant linear slope in this graph so it was evident that as the x-values increased by 1, the y-values increased by 75. All you had to do was convert the values into ratio form which would be 1/75. The 1 should remain "numerator" and the 75 as denominator because it is the hour-to-mile ratio (the units were listed in thw instructions in the chronological order in which they were to be answered in ratio form; 1 hour to 75 miles).
16) You can set up an equivalent-ratios equation. Because we know that the unit ratio is 1 hour to 75 miles, and we were given the value of 12 hours, we can set up the equation like this: 1/75=12/x. I would then multiply the 75 miles by 12 so that the ratios will be proportionate. This gives me 900 miles. Now I know, based on the ratio 12 hours to 900 miles (12/900), that if the family travels for 12 hours, they will have traveled 900 miles.
17) We can do the same thing as we did in number 16. We just have to switch the value we use in the second ratio. This means that the equivalent-ratios equation will look like 1/75=x/700, because 700 miles is our given value as opposed to a value with a unit of hours, and miles are the denominators in these ratios. Now we have to see how many times 75 goes into 700 to figure out what to multiply the 1 by to get our proportionate ratios. We have to divide 700 by 75 which is roughly 9 (rounded down from 9.3). The ratio now reads: 1/75=9/700. This means that it will take the family around 9 hours to drive 700 miles (9 hours to 700 miles was the ratio).
Please help!!! I need help
Answers
Answer:
Step-by-step explanation:
What the hell is that oh no I am not doing that
Each exterior angle of the regular n-gon has a measure of 3 degrees. How many sides does the polygon have?
Answers
Answer:
8 sides for this one
Step-by-step explanation:
hope this helps
I don't understand 1/2 +1/6 what the answer
Answers
Answer:
4/6
Step-by-step explanation:
1/2=3/6+1/6=4/6
Answer:
4/6. If you reduce it you get 2/3
Step-by-step explanation:
Solve the following quadratic equation.
(x - 16)2 = 256 The 2 is the exponent so please don't misunderstand it lol, thank you for who ever helps me.
A. x = 30 and x = 8
B. x = -30 and x = -8
C. x = -32 and x = 0
D. x = 32 and x = 0
Answers
Answer:
D. x = 32 and x = 0
Step-by-step explanation:
You can solve it a multitude of ways one of the easiest ways for me was the quadratic formula.
I NEED HELP PLZ ITS FOR MY FINAL
Answers
To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Create a diagram to represent the quantities of each ingredient in this recipe.
Answers
please need help answer
Answers
Answer:
yudsghbndnshegdm
Step-by-step explanation:send ur location come thruuuuuuuuuuuuuuuuuuuuuuuuuuu
30 is 2/3 of what number
Answers
Answer:45
Step-by-step explanation:
Key Word:of
30*2/3 = 45
Answer:
Step-by-step explanation:
let the number be x.
then,
2/3 of x = 30
=> 2/3x = 30
=> x = 30 × 3/2
=> x = 45
so, the required number is 45 .
hope it helps...!!!
A and B are independent events.
PA) = 0.6
P(B) = 0.4
What is P(AB)?
O A. 0.24
B. 0.6
O c.0.4
D. Not enough information
Answers
Answer:
not enough information
Answer:
It's 0.6
Step-by-step explanation:
What is the equation of the line with a slope of 4 and a y-intercept of —2?
Answers
m = 4
y-int = -2
thus , the equation is y = 4x - 2
I NEED HELP ASAP PLEASE
Order the numbers from least to greatest.
-5 1/2
-5.2
-5
-5/2
5.5
Answers
Answer:
Least to greatest: -5 1/2, -5.2, -5, -5/2, 5.5
geometry :
find the measure of the exterior angle
Answers
Answer:
45
Step-by-step explanation:
i believe its 45 or 55
Answer:
92°
Step-by-step explanation:
(2x - 2)° = x ° + 45°
(2x - 2 - x)° = 45°
(x - 2)° = 45°
x - 2 = 45
x = 45 + 2
x = 47
(2x - 2)° = (2*47 - 2)° = (94 - 2)* = 92°
Solve – 4y – 10 = 4(y - 3)
Answers
Answer:
y= 1/4
Step-by-step explanation:
Answer:
y=-7/8
Step-by-step explanation:
-4y-10=4y-3
add 10 on both sides
-4y=4y+7
subtract the four on the right from both sides
-8y=7
divide -8 on both sides
answer: -7/8
Which statement about these triangles is true?
Answers
Answer:
It's the last one
I hoped that helped
You stand 20 ft from a bottle rocket on the ground and watch it as it takes off vertically into the air at a rate of 18 ft/sec. Find the rate at which the angle of elevation from the point on the ground at you feet and the rocket changes when the rocket is 40 ft in the air. At the moment the rocket is 40 ft in the air, the angle of elevation is changing at a rate of rad/se.
Answers
Answer:
9/50 rad/sec
Step-by-step explanation:
let the angle be represented as ∅
distance form bottle rocket on the ground = 20 ft
height of rocket = 40 ft
solution
first we differentiate w.r.t.time
= sec²(∅)*(d(∅)/dt))=(1/20)*dh/dt --------- ( 1 )
= d(∅)/dt = (1/20)cos²(∅)* (dh/dt) ------- ( 2 )
note : 1/sec(∅) =cos(∅)
therefore ; dh/dt = 18 ft/sec
applying Pythagoras theorem
Tan ∅ = 40 / 20
h^2( hypotenuse ) = a^2( height ) + b^2 ( distance from bottle rocket )
h = √ 40^2 + 20^2 = √ 2000
also cos ( ∅ ) = b / h = 20 / √ 2000
hence cos²∅ = 1/5
Back to equation 2
d(∅)/dt=(1/20)×(1/5)×(18)
= 18/100 = 9/50 ( changing rate of angle of elevation )
PLEASE HELPPPP
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
O
1
2
3
4
y
6
14
22
30
38
Answer: y =
Submit Answer
Answers
Answer:
yo done so easy
Step-by-step explanation:
Help please can you do like (1) _____ then like (2) _____ please that would be helpful
Answers
Answer:
down there
Step-by-step explanation:
1. Adam 57 seconds, Cameron 60 seconds, Cody 60 seconds, Kevin 58 seconds, Joao 59 seconds
2.Just line the bars to the times
26. Which is NOT a zero of the following function?
f(x)= x + 3x? – X-3
A. 1
B. -1
C. 3
D. -3
Answers
Answer:
i think it is B i think im not too aure
ASAP PLZ
Which of the following is a conditional statement?
I will eat anything that is dipped in chocolate.
Chocolate can be white or brown.
I like chocolate.
Chocolate chip cookies are the best kind.
Answers
Answer:
im pretty sure its the first
Step-by-step explanation:
Enuncia 5 vectores que pertenecen a un mismo sub espacio
Answers
Answer:
what?
Step-by-step explanation:
What is the length of the line segment with endpoints (-1, -2) and (4, 10)?
Answers
Answer:
u smart biy
Step-by-step explanation:
Which is the best description for the graph?
O The graph is increasing everywhere.
O The graph is decreasing everywhere.
O The graph is increasing, then decreasing.
O The graph is decreasing, then increasing.