Answer:
The area of the plate is 21 inches
Step-by-step explanation:
* Lets revise some rules of a circle
- The circumference of a circle = 2πr , where r is the radius of it
- The area of the circle = πr²
* Lets solve the problem
∵ A circular plate has circumference 16.3 inches
∵ The circumference = 2πr
∵ π = 3.14
- Lets find the radius of the plate
∵ 16.3 = 2(3.14)r
∴ 16.3 = 6.28r
- Divide both sides by 6.28
∴ r = 16.3/6.28 = 2.5955 ≅ 2.6
∴ The radius of the plate is 2.6 inches
* Lets find the area of the plate
∵ The area = πr²
∵ π = 3.14
∵ 4 = 2.6
∴ The area = 3.14(2.6)² = 21.22 ≅ 21
* The area of the plate is 21 inches
To find the area of a circle with a circumference of 16.3 inches using 3.14 for pi, you first calculate the radius and then use the formula A = πr² to get the area, which when rounded to the nearest whole number is approximately 21 inches².
Explanation:To calculate the area of a circular plate when given its circumference, we first need to find the radius of the circle. We use the formula for the circumference of a circle, C = 2πr, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius. The student has provided the circumference as 16.3 inches, so we solve for r:
C = 2πr
16.3 inches = 2 × 3.14 × r
16.3 inches / (2 × 3.14) = r
16.3 inches / 6.28 = r
2.597 inches = r
Now that we have the radius, we can use the area formula for a circle, A = πr². Plugging in our radius we get:
A = 3.14 × (2.597 inches)²
A = 3.14 × 6.7473 inches²
A = 21.205 inches²
Rounding to the nearest whole number:
A ≈ 21 inches²
Choose the correct correspondence
1<->
Options
1.< 2
2.< 3
3.< 4
Answer:
Angle 2
Step-by-step explanation:
Looking at triangles ABD and ACD, they have parts which correspond. These parts are located in the same location in each triangle.
Angle 1 corresponds to Angle 2.
Answer:
The angle ∡1 is equivalent to ∡2
Step-by-step explanation:
We need to start with one reasonable assumption on the image to understand the thought process: "In the rhomboid at the left side, the length of AB is equal to AC".
If we trace a line from B to C, the left side of the rhomboid will be an isosceles triangle (see attached image).
One of the characteristics of these triangles is that if we trace a line directly from the vertex A to the opposite side (line BC) it splits the angle by half, so one half would be ∡1 and the other would be the answer: ∡2
The corresponding sides of ΔABC and ΔDEF have equal lengths. The area of ΔABC is 4 square units, and the longest side of ΔDEF is 5 units long. What is the area of ΔDEF? PLEASE HELP!!
Answer:
The area of ΔDEF will be [tex]4[/tex] square units.
Step-by-step explanation:
The area of [tex]\triangle ABC[/tex] is [tex]4[/tex] square units.
The corresponding side lengths of [tex]\triangle ABC[/tex] and [tex]\triangle[/tex]DEF are equal.
That means, two triangles are congruent according to [tex]SSS[/tex] postulate.
So, their area will be also equal.
Thus, the area of ΔDEF will be [tex]4[/tex] square units.
In the figure which pair of segments appear to be parallel
FG and JH are two parallel line segments
Answer:
FG and JH
Step-by-step explanation:
Obviously, FJ and GH are not parallel. So the only remaining pair of lines are fg and jh.
therefore, FG and JH appear to be parallel.
the area of a square garden is 1/36 mi 2 how long is each side
Answer:
1/6 meters
Step-by-step explanation:
Let the side length be x.
Then the area of the square = x^2
∴ x^2 = 1/36
√(x^2) = √(1^2 / 6^2)
x = 1/6
Therefore, the side length is 1/6 meters.
Hope it helped you!!!
Which ratio is equivalent to 9/39
Answer:
3:13
Step-by-step explanation:
Just simplify it all the way, leaving you with 3/13 if you divide both numbers by three, then you can convert it to a ratio there.
Answer:
3:13
Step-by-step explanation:
Please help . I will give brainliest.
Answer:
x=5
Step-by-step explanation:
1/2 x^3 = 125 /2
Multiply each side by 2
2*1/2 x^3 = 125 /2*2
x^3 = 125
Take the cube root of each side
(x^3) ^ 1/3 = (125) ^ 1/3
x = 5
( 5*5*5 = 125 -5*-5*-5 = -125)
Please come answer ASAP!!!
5 - n divided by 3 = 4 what is the value of n?
Hey there!
The equation we have been given is 5 - n/3 = -4.
Let's start by subtracting 5 from each side.
-n/3 = -9
Multiply each side by 3.
-n = -27
Multiply each side by -1.
n = 27
Check our answer.
5 - 27/3 = -4
5 - 9 = -4
-4 = -4
The value of n is 27.
Hope this helps!
3 plus two times blank equals 17 what is the blank?
What is the volume of an cylinder shown below with radius of 11 and height of 12
Answer:
4561.6 units squared
Step-by-step explanation:
The volume of a cylinder is defined by this equation: πr2h
r = radius = 11 units
h = height = 12 units
π = pi = 3.14152...etc. (In your case, just use 3.14)
So you plug these into the equation:
πr2h = (3.14) x (12) x (11^2)
Here, we will write squared as a number ^2, meaning that you multiply that number by itself twice.
Since 11 x 11 = 121, we can now solve for the volume:
(3.14) x (12) x (121) = 4561.6 units^2
What number should both sides of the equation be multiplied by to solve for x?x/4.5 = 6
Answer:
multiply by 4.5 to get x = 27
Step-by-step explanation:
Both sides should be multiplied by 4.5
x / 4.5 = 6
x = 27
Answer:
what she said cuz she was right but the answer on oddsy ware is 4.5
Step-by-step explanation:
H/6-1=-3 solve for H
Add 1 to both sides
h/6 = -3 + 1
Simplify -3 + 1 to -2
h/6 = -2
Multiply both sides by 6
h = -2 * 6
Simplify 2 * 6 to 12
h = -12
Will mark brainliest!!!!!!!! Show work!!!14
So in interest is given once a year.
Year's interest = 200 × 12%
= 200× 12/100 = $24
2 Years' interest = 24 × 2 = $48
Money paid for loan
= 200 + 48
= $248
Ans = $248
Happy to help. Marking me the brainliest would really be appreciated.
Answer:
The amount you pay to the loaner is $248 but the amount of intrest you paid is $48
Step-by-step explanation:
Your Intrest is 12% so the decimal of that is .12. so Multiply .12 with 200, to find out 12% of 200
200 x .12 =24
so 12% of 200 is 24. But also 24 is the amount of intrest you would pay for 1 year. since you have to pay for TWO years multipy 24 by 2
24 x 2 = 48
so you pay $48 in intrest
Hope this helps!
A city is planning to replace one of its water storage tanks with a larger one. The city's old tank is a circular night with a radius of 12 feet and a volume of 10,000 cubic feet. The new tank is a right circular cylinder with a radius of 15 feet and the same height as the old tank. What is the maximum number of cubic feet of water in the new storage tank will hold?
Answer: 15,625 ft³
Step-by-step explanation:
You need to use the formula for calculate the volume of a cylinder:
[tex]V=r^2h\pi[/tex]
Where r is the radius and h is the height.
You know the radius and the volume of the old tank, therefore you can find the height as following:
[tex]10,000=(12)^2h\pi\\\\h=\frac{10,000}{(144)\pi}ft[/tex]
You know that the radius of the new tank is 15 feet and it has the same height as the old tank. Therefore, you can substitute h into the first equation for calculate the volume of a cylinder, to find the maximum number of cubic feet of water that the new storage tank will hold:
[tex]V=(15ft)^2(\frac{10,000}{(144)\pi}ft)\pi=15,625ft^3[/tex]
Answer:
15625 cubic feet
Step-by-step explanation:
use the given parent function f(x) = [x] to graph g(x) = [x]+3
Answer:
Shift the graph up 3 units.
9/11 = ?/22 math is killing me any good answers
9/11 = x/22
9*22 = 11x
198 = 11x | :11
x = 18
George's dog has a mass of 6 kg what is the mass of the dog in grams
Answer: 6000, you simply multiply the mass by 1000
I need help please. 2nd box: meters, cubic meters, or square meters.
Answer:
I believe it is meters
Step-by-step explanation:
I think so because the rectangle is labeled with meters
To find out area of a rectangle it is (l*w)
In this case it is 9m*7m which is 63 metres squared
Area is 63 metres squared
To find out perimeter of a rectangle we do 2(l*w)
In this case it is (2*9)+(2*7) which is 9+9+7+7=18+14 which is 32
Perimeter is 32 metres
please help! ASAPPP! ❤️❤️❤️❤️❤️
80,000,000 in scientific notation would look like this...
8 x 10^7
It’s as simple as that. Let me know if you need any more help understanding!
Answer: 8×10^7
explanation: when doing scientific notation, you want the number(8) to be less than 10 so you would move the decimal left 7 places so it becomes 8.0000000, and then you would take 8 and put it in the equation so it's 8×10^7
Andy painted his house he used 1/4 of his paint to paint 5 walls how much paint did he use on the walls if he used the same amount of paint on each wall
Answer:
1/20 or 0.05 on each wall
Step-by-step explanation:
Answer:
1/20! 1/4 divided by 5 is 1/20.
Step-by-step explanation:
Please help with function homework.
The maximum height occurs at the vertex found using t = -b/2a
The time = t=-20/2*-5 = -20/-10 = 2 seconds.
Now replace t with 2 in the equation to solve for the height:
h(t) = -5t^2 +20t +1
h(2) = -5(2)^2 +20(2) +1
h(2) = -5(4) + 40 + 1
h(2) = -20 + 41
h(2) = 21 meters.
Maximum height was 21 meters at 2 seconds.
What is 40% of 120?
Answer:
39% of 120 = ? ... 41% of 120 = ?
1% of 120 = ?
40% × 120 =
(40 ÷ 100) × 120 =
(40 × 120) ÷ 100 =
4,800 ÷ 100 =
48
Answer:
48
Step-by-step explanation:
Kendall had $1000 in a savings account at the beginning of the semester. She has a goal to have at least $350 in the account by the end of the semester, but she would draws $55 each week for food clothes and entertainment. For how many weeks can Kendall withdraw that Amount and keep to her goal
Answer:
11 weeks
Step-by-step explanation:
First we need to check what variables we have.
Beginning Balance = $1000
Goal = $350
Withdrawal = $55 per week
Now let's declare a variable as the number of weeks.
Let x = number of weeks
1000 - 55x = 350
-55x = 350-1000
-55x = -650
Then we divide both sides by -55 to find the value of x.
x = 11.81 or 11 since we're looking for how many weeks in total
Now let's see if we still have 350 if we have a total of 11 as the value of x.
1000 - 55(11) = 350
1000 - 605 = 350
395 = 350
We can see that Kendall will have $395 compared to the $350 goal.
So Kendall can withdraw $55 a week for 11 weeks to still be within her goal of having $350 in her savings account.
From the initial $1000 savings, Kendall can make withdrawals for 11 full weeks while maintaining her goal of having at least $350 left in the account.
Explanation:To find out how many weeks Kendall can withdraw funds, we first need to calculate how much money Kendall can actually spend without going below her goal of $350. This is done by subtracting Kendall's savings goal from her initial savings. So, $1000 - $350 = $650.
Next, we divide this available amount ($650) by how much Kendall withdraws each week ($55). So, $650 ÷ $55 = approximately 11.82 weeks. Since Kendall can't withdraw money for a part of a week, she can make this withdrawal for 11 full weeks before reaching her goal of $350 in her account.
Learn more about Saving Goal here:https://brainly.com/question/11508361
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The figure shows two intersecting lines and the measures of the resulting angles.
What is the value of y?
Answer:
y= 114
Step-by-step explanation:
1) (4x+ 2x- 12+ 20)=180
First find x (22)
2) (2x+20)+y=180
Plug in x
3) y=114
The values of x and y are 16 and 124 respectively when the angles (4x - 12) and (2x + 20) are vertically opposite and one of these angles forms a linear pair with angle y.
Explanation:The subject of this question is mathematics, focusing on geometry and algebra. Vertically opposite angles are equal. Hence, (4x-12) = (2x+20). Solving for x, we get x = 16.
Also, it is mentioned that one of the angles forms a linear pair with angle y. A linear pair means that the two angles add up to 180 degrees. So, y + (2x+20) = 180. Substituting x = 16 in this equation and solving for y, we find that y = 124.
Learn more about Vertically opposite angles here:https://brainly.com/question/30195817
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Chloe needs 80 hot dogs for her party. If each hot dog package has 8 hot dogs, how many packages of hot dogs does Chloe need to buy?
Answer:
10 Packages.
Step-by-step explanation:
8 * 10 = 80
Final answer:
To find out how many packages of hot dogs Chloe needs to buy, divide the total number of hot dogs she needs by the number of hot dogs in each package. Chloe needs to buy 10 packages of hot dogs.
Explanation:
To find out how many packages of hot dogs Chloe needs to buy, we need to divide the total number of hot dogs she needs by the number of hot dogs in each package.
80 hot dogs ÷ 8 hot dogs per package = 10 packages
Chloe needs to buy 10 packages of hot dogs.
Please help!!! Suppose a new student starts school today and your teacher asks you to teach her how to find decimal equivalents for fractions. What would you tell her? How would you convince the student that your method works?
Everyone has there own style.
1. Wouldn't they know how to do it already?
If not...
2. Is there a calculator available? If there is just tell them to divide the numerator by the denominator.
If not...
3. You'll have to use long division and get the answers.
Hope this helps, cheers.
Which is a measure of the efficiency of an investment? A. return rate B. return on investment C. efficiency coefficient
Answer:
[tex]\bold{Return \ Of \ Investment}[/tex]
Step-by-step explanation:
Return Of Investment: The performance used to evaluate the efficiency of an investment or compare the efficiency of a number of different investments.
It is a performance level used to compare the efficiency of one investment or more to several or just one more investments. They also evaluate the efficiency of one investment.
Return Of Investment (ROI) is very popular because it is simple, skilled and resourceful. If an investments ROI is net is positive, this tells them that it is worthwhile and has some use to it. If it is low, it lets people know that this is probably not the best solutions, and to not waste their time on something that won't work anyway.
[tex]\boxed{\bold{Mordancy}}[/tex]
Answer: B
Step-by-step explanation:
B. Return on investment .
Which of these numbers are irrational?
I just need to know if im right or not Lol
Answer: The answer is A
A recipe calls for of a cup of milk for 10 cookies. How many cups of milk are needed to make 60 cookies?
Answer: 6 cups of milk
Step-by-step explanation:
1 cup =10 cookies
60 cookies divided 10 cookies= 6cups
Solve and graph the inequality
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]\left|x\right|<18[/tex]
we know that
The absolute value function has two solutions
case positive
[tex]+(x)<18[/tex]
The solution is the interval------> (-∞,18)
All real numbers less than 18
In a number line is the shaded area to the left at point x=18 (open circle)
case negative
[tex]-(x)<18[/tex]
Multiply by -1 both sides
[tex](x)>-18[/tex]
The solution is the interval------> (-18,∞)
All real numbers greater than -18
In a number line is the shaded area to the right at point x=-18 (open circle)
therefore
The solution of the inequality
[tex]\left|x\right|<18[/tex]
All real numbers greater than -18 and less than 18
see the attached figure to better understand the problem
What is the pattern in the values as the exponents increase?
Answer:
Multiply the previous value by 3.
Step-by-step explanation:
The correct pattern in the values as the exponents increase is - Multiply the previous value by 3.
We can see, that [tex]3^{-1}[/tex] is [tex]\frac{1}{3}[/tex]
And in the next step, [tex]3^0[/tex] is [tex]\frac{1}{3}\times3=1[/tex]
In the next step, [tex]3^1[/tex] is [tex]1\times3=3[/tex]
In the last step, [tex]3^2[/tex] is [tex]3\times3=9[/tex]
So, at each step, 3 is multiplied to the previous product/value.
Therefore, the correct answer is last option.
Answer: D. Multiply the previous value by 3
Step-by-step explanation: got it right on edgunuity 2020-2021. Hope this helps!