Juan is going to make a small table with a circular top. He drew a circle with a diameter of 22 inches to
show his design.
22 in.
Which of these is closest to the area in square inches of the tabletop Juan is going to make?
O A. 69
OB. 138
O C. 380
OD. 1,520
CV
A
O EPIC
Answers
Answer:
C. 380
Step-by-step explanation:
Area of the tabletop = area of a circle
Area of a circle = πr²
radius (r) = ½*diameter = ½*22 = 11 in
Take π as 3.14
Plug in the values into the formula
Area of tabletop = 3.14*11² = 379.94
Area of tabletop would be approximately 380 in² (to nearest whole number)
Related Questions
The answer to this question here 0.1x=0.2(x+2)
x=-4
Answers
Answer:
the answer is 76
Step-by-step explanation:
simplify the expression. 2.7(w-5.2)
Answers
Answer:
2.7w - 14.04
Step-by-step explanation:
Distribute the 2.7
Which equation represents a line that passes through (5,4) with a slope of 2∕5?
)
y = 2∕5x + 5
B)
y = 2∕5x + 2
C)
y = 2∕5x + 4
D)
y = 2∕5x – 4
Answers
Answer: C
Step-by-step explanation:
Answer:
Step-by-step explanation:
m = [tex]\frac{2}{5}[/tex]
y - 4 = [tex]\frac{2}{5}[/tex] ( x - 5 )
y = [tex]\frac{2}{5}[/tex] x + 2
Describe the error in determining whether the table represents a linear function.
Answers
Answers:
Describing the Error:
Choice B) The function is nonlinear and the increase in y is not constant.
Correcting the Error:
As x increases by a constant amount, y needs to increase or decrease by the same amount for the function to be linear.
=========================================================
Explanation:
Each time x goes up by 2, y is being multiplied by 4.
It may appear y is increasing at a constant rate, but this is not true. The jump from y = 4 to y = 16 is +12; while the jump from y = 16 to y = 64 is +48. The increase in y is not the same each time. This is just a rephrasing of what is discussed in the "correcting the error" section above.
So this is why the function is nonlinear. It turns out that this function is an exponential. Specifically, this is the function y = 2^x. For instance, if x = 8, then y = 2^x = 2^8 = 256. Graphing this function produces a curve that isn't a straight line, which is visual confirmation the function is nonlinear.
The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of itsâ height, and inversely as the length of the beam. A beam feetâ long, with a width of inches and a height of inches can support a maximum load of pounds. If a similar board has a width of inches and a height of âinches, how long must it be to support âpounds?
Answers
The question is incomplete.Here is the complete question.
The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?
Answer: It must be 392 inches or approximately 33 feet.
Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of proportionality, i.e., if divided, the result is a constant.
For the first load:
width = 6in
height = 4in
length = 13ft or 156in
weight = 800lbs
Then, constant will be:
[tex]\frac{6.4^{2}}{156} k = 800[/tex]
[tex]k=\frac{800.156}{96}[/tex]
k = 1300
For the similar beam:
[tex]\frac{8.7^{2}}{L}1300=1300[/tex]
L = 49.8
L = 392in or 32.8ft
A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.
There are 20 pieces of bread to divide among 20 people. A man eats 3 pieces, woman eats 2 pieces and a child eats half piece of bread. Tell the correct combination of men, women and children so that they are 20 people in total and everyone gets the bread. Note that a man cannot eat less than 3 or more than 3. A woman cannot eat less than 2 or more than 2 and the child cannot eat less than half or more than half piece of the bread. You have to tell there are how may are men, women and children in those 20 people.
Answers
Answer:
14 children, 5 women, 1 man
Step-by-step explanation:
14 children which gives us 7 loves. 1 man which gives us 3 loves. 5 women which gives us 10 loves.
People: 14 + 1 + 5 = 20
Loves: 7 + 3 + 10 = 20
The number of men, women, and children among the 20 people would be as follows:
A). There are 5 women, 1 man, and 14 children.
Given that,
No. of bread pieces = 20
No. of people to be divided among = 20
We also know that,
1 man consumes = 3 pieces
1 woman consumes = 2 pieces
1 child consumes = 1/2 piece
Using the trial and error method, we can see that;
20 = (1 man × 3 pieces) + (5 women × 2 pieces each) + (14 × 1/2 piece each)
⇒ 20 = 3 + 10 + 7
∵ 20 = 20
Thus, option A is the correct answer.
Learn more about "Algebra" here:
brainly.com/question/14413003
40 divided by a number m
Answers
Answer:
40/m
Step-by-step explanation:
I dont really know what I'm answering but there's that
Compute 95% confidence intervals for the proportion of defective items in a process when it is found that a sample of size 100 yields 8 defectives.
Answers
Answer:
0.02683<x<0.133173
Step-by-step explanation:
The confidence interval formula is expressed as;
CI = p ± z√p(1-p)/n
p is the proportion
z is the confidence interval at 95% confidence
n is the sample size
Since it is found that a sample of size 100 yields 8 defectives, the sample proportion p = 8/100 = 0.08
Given
n = 100
z score = 1.96
p = 0.08
1-p = 1-0.08 = 0.92
Required
95% confidence interval
Substitute the given parameters into the formula as shown;
CI = p ± z√p(1-p)/n
CI = 0.08 ± 1.96√0.08(0.92)/100
CI = 0.08 ± 1.96√0.0736/100
CI = 0.08 ± 1.96(0.027129)
CI = 0.08 ± 0.053173
CI = (0.08-0.053173, 0.08+0.053173)
CI = (0.02683, 0.133173)
Hence the 95% confidence intervals for the proportion of defective items is 0.02683<x<0.133173
$24.75 - 12.45
i need help and it is to hard
Answers
A motivationql speaker writes at a cinstant rate of 1/2 speech every 3/4 hour. At this rate, what frqction represents the number of speeches the speaker writes per hour?
Answers
Answer:
They can write 3\4 of a speech in 1 hour
Step-by-step explanation:
Half of a half is 2/3 Split that in half and get 3\4
if each genre has a 25% chance of playing, about how many times should we expect each genre playing out of 20
Answers
The set up:
(0.25)(20) =
So, multiply.
Answer:
5 timesStep-by-step explanation:
Each one has a 25% chance, which is 0.25 times
Number of attempts is 20
Expected number is:
0.25*20 = 5 timesI need your help its emergency
Answers
Answer:
Bruh
Step-by-step explanation:
Lowest to highest.
Answer:
-43.6°, -37.4°F, -17°F, 37.3°F, 51.8°F, 52°F
For which equations is 8 a solution? Select the four correct answer
Answers
Answer:
I believe the answers are= 2, 3, 6, 8
Step-by-step explanation:
For #2, you would subtract 2 from both sides. 10-2=8. x=8.
For #3, you would add 4 to both sides of the equation, making the final answer: x=8
For #6, you would divide both sides by 3. 24 divided by three is 8.
For #8, I multiplied the whole equation by 8, which is the denominator of x/8. 1 times 8=8. The final answer would be x=8.
Hope this helps!
The equations whose solution is 8 will be x + 2 = 10, x - 4 = 4, 3x = 24, and x/8 = 1. Then the correct options are B, C, F, and H.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Let's check all the options. Then we have
A. x + 6 = 2, simplify the equation, then we have
x + 6 = 2
x = - 4
B. x + 2 = 10, simplify the equation, then we have
x + 2 = 10
x = 8
C. x - 4 = 4, simplify the equation, then we have
x - 4 = 4
x = 8
D. x - 2 = 10, simplify the equation, then we have
x - 2 = 10
x = 12
E. 2x = 4, simplify the equation, then we have
2x = 4
x = 2
F. 3x = 24, simplify the equation, then we have
3x = 24
x = 8
G. x/2 = 16, simplify the equation, then we have
x / 2 = 16
x = 32
H. x/8 = 1, simplify the equation, then we have
x/8 = 1
x = 8
The equations whose solution is 8 will be x + 2 = 10, x - 4 = 4, 3x = 24, and x/8 = 1. Then the correct options are B, C, F, and H.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ6
Which inequality is true?
1\2 is less than 1/3
3/4 is greater than 2/3
-1/4 is less than -2/3
-1 is greater than 3/4.
Answers
I think you meant false because all of them are right except for 1/2 is less than 1/3
z = 19i + 14 what is the imaginary part
Answers
Answer:
The imaginary part is: z = 19
Step-by-step explanation:
For real numbers a and b, a number written in form a+bi is called a acomplex number. The value a is called the real part and b is called the imaginary part of complex number.
Find the area of this quadrilateral. Explain or show your strategy.
Answers
Answer:
24 units
Step-by-step explanation:
1) Separate this quadrilateral into 2 triangles
2) Multiply the height by the width of one of the triangle
- Multiply 8×3
= 24
#8 Mina buys a phone case on sale. If the phone case usually costs $34.99, and it was on sale for 18% off, how much did Mina pay? Round to the nearest cent. *
Answers
Answer:
28.6918 or 28.69
Step-by-step explanation:
Answer:
$28.69
Step-by-step explanation:
First, let's find how much 18% of $34.99 is. We can do this in one step by multiplying 34.99 by .18.
[tex]34.99*.18=6.30[/tex]
Now, just subtract the sale from the original cost.
[tex]34.99-6.30=28.69[/tex]
Mina paid $28.69.
I hope this helps!
What fractions are equivalent to 2 1/2
Answers
Answer:
4/2
Step-by-step explanation:
In order to find the answer you must multiple your whole number by the denominator and add that to the numerator.
the perimeter of a rectangle is 84 feet. If the length of the rectangle is 24 feet, what is its width?
Answers
Answer:
The width is 18 feet.
Step-by-step explanation:
You know that a rectangle has 4 sides.
L + L + W +W =84
24 +24 +2W =84
48 +2W =84
2W =84 - 48
W =18
If Gage gets 40 bucks a month how much months would it take him to get 300 bucks.
Answers
Answer:
7 to 8 months / most probably 8 months
7.5 months to be exact
Step-by-step explanation:
Hi there!! Let's work!
So lets Break it down,
Given: $40 every month
Prove: How many months till he has in total $300
----------------------------------------------------------------------------------------------
We need to multiply the number of months to 40 to get 300~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So lets refer to a multiplication chart to make it easier:||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Here is an example of the equation we will use:400 x (months) = $300 / (or how much ever we get)
```````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
As you can see:We have 2 final equations because we don't have a straight forward answer. (Refer to explanation below)
40 x 7 = 280
and
40 x 8 = 320
---------------------------------------------------------------------------------------------------------
So in problems like these we have to think like we would in real life, if you have an option you can write 7 to 8 months or you should write 8 instead of seven since they may be asking for a specific amount of months and after 8 months Gage will reach (surpass) his goal of $300 by $20.
`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
If you learned from my answer please rate it below from a scale of 1 to 5 using the stars to let me know how well you learned from my answer.
Make sure to also press the like button (Thanks button) if you really liked my answer / explanation
If it was incorrect or you didn't learn from it please review my answer accordingly (report if incorrect)
`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
I only want to spread knowledgeable and truthful information let me know if it is incorrect or not helpful so I / Brainly can take it down.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Lastly, If your the owner of this question please mark me Brainliest if you really learned from my answer I really do appreciate it.THANK YOU :)A volleyball team played 28 matches and won 21 of them. What percent of their matches did they win ?
Answers
21/28= 0.75
Question 5
Joe's cat weighs k kilograms. Esperanza's cat weight 30% more than Jose's cat. Which of the following expressions
represents the weight, in kilograms, of Esperanza's cat? Selact ALL that apply.
a. x + 1.3x
b. 1.3x
C. X+0.3x
d. 0.3x
e. x(1 +0.3)
PLEASEEE HELP MMEEE
Answers
Answer:
b, c, e
Step-by-step explanation:
Esoeranza's cat weighs 1.3 x (130% of x). You can select all the expressions that equal to 1.3x.
Answer:
B, c,e
Step-by-step explanation:
Hope this helps!
$0.15, $0.30, $0.50, $0.75, $0.89
I need to know the percent of change for these numbers
Answers
Answer:
15% 30% 50% 75% 89%
Step-by-step explanation:
u change 0.15 to a function 15/100 then the one hungred below is persent
What’s the missing angle.
Brainliest if your correct
Answers
We are given:
We know that the sum of all interior angles of a Pentagon is 540°
we are given 4 out of the 5 angles
Solving for x:
since the sum of all 5 angles is 540°:
75 + 130 + 135 + x + 90 = 540
x + 430 = 540
x = 540 - 430
x = 110°
Y= 1/2x + 2 Solve please!
Answers
(IF SOLVING FOR Y) y= x/2+2
(IF SOLVING FOR X) x=2y-4
help pls is my homework helpp
please
Answers
Suppose you play a coin toss game in which you win $1 if a head appears and lose $1 if a tail appears. In the first 100 coin tosses, heads comes up 42 times and tails comes up 58 times.
Answers
Answer:
Percentage of heads = 42 %
Net loss = $16
Step-by-step explanation:
Given:
Total number of tosses = 100
Number of heads come = 42
Number of tails come = 58
Find:
Percentage of heads
Net loss
Computation:
Percentage of heads = Number of heads come / Total number of tosses
Percentage of heads = 42 / 100
Percentage of heads = 42 %
Net loss = 58(1) - 42(1)
Net loss = $16
What equation has a graph that is parallel to the graph of 2X - Y = -1
Answers
Answer:
y= 2x
Step-by-step explanation:
Find the slope of the original line and use the point slope fromula y-y1=m(x-x1) to find the line parallel to 2x-y=-1
Original
y=mx+b
y=2x +1
Timed please help :))
Answers
It's the first one :))
What is 7 to the power of 3 in expanded form?
Answers
Answer/Step-by-step explanation:
7^3 or 7 cubed = 7 x 7 x 7
Expanded form turns a simplified problem back into an equation.