Answer:
7 feet
Step-by-step explanation:
The area of a circle can be found using:
a=3.14*r^2
We know that the area is 153.86 square feet, so we can substitute 153.86 in for a.
153.86=3.14*r^2
Now, we have to solve for r. To do this, we need to get r by itself. First, divide both sides by 3.14
153.86/3.14=3.14*r^2/3.14
153.86/3.14=r^2
49=r^2
Now, r is being squared. The opposite of squared is the square root. So, take the square root of both sides .
√49=√r^2
√49=r
7=r
The radius is 7 feet
The radius of the circle with an area of 153.86 square feet is approximately 7 feet.
How to determine the radius of a circle with area equal to 153.86 square feet.To find the radius of a circle given its area, you can use the formula:
Area = π * r^2
In this case, we are given the area as 153.86 square feet.
153.86 = π * r^2
To solve for the radius (r), we need to isolate it. Divide both sides of the equation by π:
153.86 / π = r^2
Now, take the square root of both sides to find r:
r = √(153.86 / π)
Using a calculator or approximating the value of π as 3.14, we can calculate:
r ≈ √(153.86 / 3.14) ≈ √49.0401 ≈ 7
Therefore, the radius of the circle with an area of 153.86 square feet is approximately 7 feet.
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A meteorologist reports that the temperature today will be colder than −1° Fahrenheit. The inequality is t < −1. The variable t represents the temperature. A number line going from negative 2 to positive 2. Which numbers are solutions of the inequality? Choose all that apply. –2 0 1 –10 –3 –1
For the inequality t < -1, the numbers that are solutions to this inequality are -2, -3, and -10, as they are all less than -1.\
The inequality in question is t < -1, which indicates that the temperature (t) is colder than -1 degrees Fahrenheit. On a number line from -2 to +2, the numbers that satisfy this inequality would be all the numbers that are less than -1. Therefore, the solutions to the inequality would be the numbers that are to the left of -1 on the number line.
-2
-3
-10
The numbers 0, 1, and -1 do not satisfy the inequality because they are not less than -1.
Sarah has a bag of 100 marbles. 40 are blue, 40 are green, and 20 are purple.
What is the probability of Sarah picking a blue marble on 2 consecutive draws without replacement?
15.8%
40%
20%
3.8%
The required probability of Sarah picking a blue marble on 2 consecutive draws without replacement is 15.8%. Option A is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total marbles [sample space] = 100
Total favorable outcome = 40 = 40%
Now,
Picking another blues marble,
Total marble becomes 99 and the total favorable outcome becomes 39,
Probability of picking marble in two consecutive drawn,
= 40/100 × 39 / 99
= 0.158
= 15.8%
Thus, the required probability of Sarah picking a blue marble on 2 consecutive draws without replacement is 15.8%. Option A is correct.
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If f(x) = 3x + 7, find:
f(3) = [ ? ]
Answer:
f(3) =16
Step-by-step explanation:
f(x) = 3x + 7
Let x= 3
f(3) = 3*3 +7
= 9+7
= 16
Answer: 16
Step-by-step explanation: f(x) = 3x + 7 means that if we put an x into our function, a 3x + 7 comes out.
So if we want to find f(3), we're putting a 3 into our function which means that a 3(3) + 7 comes out which simplifies to 9 + 7 or 16.
So f(3) = 16 or the value of the function at 3 equals 16.
A bakery sells giant cookies, sheet cakes and 3-tiered cakes. The time required for each step is given in the matrix below
Answer:
answer is sheet cake aka B on edge
Step-by-step explanation:
Pls help!
What is the surface area of the pyramid_____ units2
Answer:95units2
Step-by-step explanation:
1/2x7x5+5x5=95
Look at this inequality.
−0.2x+1.2<1.1
To solve the inequality -0.2x+1.2<1.1, we subtract 1.2 from both sides and then divide by -0.2, which flips the inequality, resulting in x > 0.5.
To solve the inequality [tex]\frac{1.2}{-0.2x+1.2} < 1.1[/tex], we can follow a step-by-step process. First, we isolate the variable on one side. We'll subtract 1.2 from both sides of the inequality:
-0.2x+1.2-1.2 < 1.1-1.2
-0.2x < -0.1
Then we divide both sides by -0.2, remembering that dividing by a negative number will flip the inequality sign:
[tex]x > \frac{0.1}{0.2}[/tex]
x > 0.5
This means that for the inequality to hold true, x must be greater than 0.5. It's also important to note that by understanding the properties of inequalities and the operations performed on them, we can easily solve these mathematical statements.
Find the area of the shape shown below.
4 10 20
Answer:you cant find the area with the numbers the problem wouldn't do that but the perimater is (34)
Step-by-step explanation:
Answer:
240 units2
Step-by-step explanation:
10*20=200 + 10*4= 40
=240
Solve the inequality
16 (1/4x -1/2)>24 - 2х
А. x> 6
в. x> -6
с. x> 16/3
d. х> -10/3
Answer:
Step-by-step explanation:
hello :
here is an solution :
Please Help! I don't know how to do this!
(3x^2+7x-4)-(6x^2-6x+1)
Answer:
-3x^2+13x-5
Step-by-step explanation:
you're basically just combining the like terms
3x^2+7x-4-6x^2+6x-1
-3x^2=13x-4-1
-3x^2+13x-5
Answer: -3^2+13x-5
Step-by-step explanation:
Remove parentheses.
3x^2+7x -4 - 6x^2 +6x -1
Collect like terms.
(3x^2-6x^2) + ( 7x + 6x) + ( -4 -1)
Simplify
-3^2+13x-5
If 5x² + 7x = 6, which statement is correct?
A)
X= 2 or x= 3/5
x = -2 or x= 3/5
x = 2 or x =-3/5
x = -2 or x = -3/5
Answer:
2nd choice: x = -2 or x= 3/5
Step-by-step explanation:
5x² + 7x = 6
We can solve.
5xx + 7x - 6 = 0
try the diamond method first
-30 = 5*-6.... -3*10 = -30 and -3x + 10x = 7x
So...
5xx - 3x + 10x - 6 = 0
x(5x - 3) + 2(5x - 3) = 0
(x +2)(5x - 3) = 0
roots x = -2 and x = +3/5
Answer:
The correct answer is x=-2 or x=3/5. I found this answer by using an app called Photomath, you should download it. it really helped me :)
What is the length of BC?
Helppp
Answer:
8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Actually, when you look at it, it' very simple.
So as you kno triangles always = 180
That makes this way easier when you think about it
Let's add the angels together
90+45= 135
Now we need to find the value of the missing angle
180-135= 45
So 45 is the missing angle
Since m∠C≈m∠B he side length (AB) is also 8
Now we can find the length of the hypotenuse
[tex]\sqrt{a^2 +b^2}[/tex]
a and b are the side lengths so just plug them in
[tex]\sqrt{8^2 + 8^2}[/tex]
Now you solve
Exact Form: 8[tex]\sqrt{2}[/tex]
Decimal Form: 11.31
Summit Plummet's big drop starts at point A(0, 120) and ends at point B (56, 0). What's the slope from point A to point B?
Answer:
15/-7
Step-by-step explanation:
slope is y(2) - y(1) / x(2) - x(1)
120-0/0-56
120/-56
simplified
The slope from point A to point B is found by dividing the rise by the run. With a rise of -120 and a run of 56, the slope is approximately -2.14, indicating a downward slope from A to B.
To find the slope from point A to point B, we can use the formula slope = rise/run. In this scenario, point A is at (0, 120) and point B is at (56, 0).
First, determine the rise, which is the change in the y-coordinates (vertical change). The rise is 0 - 120 = -120.
Next, determine the run, which is the change in the x-coordinates (horizontal change). The run is 56 - 0 = 56.
Now, we can calculate the slope: slope = rise/run = -120/56 = -2.14
Last softball season, Jenny hit 32% of the times she was at bat. If she had 80 hits, how many times was she at bat?
I think the answer is 26 because you have to take 32% of 80.
-Dhruva;)
Jenny was at bat 250 times.
What is the percentage?The percentage refers to a number that is out of 100. When describing components of a whole in mathematics, percentages are employed similarly to fractions and decimals. When employing percentages, the idea is that there are 100 equal pieces that make up the whole. In addition, the sign "%" is used to indicate that a number is a percentage. In stores, online, in commercials, and in the media, percentages are nearly always present. A crucial talent that may help you save time and money and raise your employability is the ability to comprehend what percentages represent.
Given jenny hit 32% of the time when she was at bat and also she had 80 hits. let's assume she had a total of x hits. so 32% of x will be equal to 80.
From that,
32% x = 80
32*x = 80 * 100
x = 250
Hence, Last season ball jenny was at bat 250 times.
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What is the mean of the data set?
17, 24, 26, 13
Pls I need this fast
So the right answer is 20.
Look at the attached picture⤴
Hope it will help u...
Answer:
20 is the answer
Step-by-step explanation:
17+24+26+13=80
80 divided by how many numbers are in the data set so, 80 divided by 4 is 20.
Hoped this works!
A path through the middle of a circular garden is 14 feet long. [a] What is the distance around the outside of this garden? [b] What is the area of the garden? Use 3.14 for π.
Answer:
a. 43.96 feet
b.153.86 square feet
Step-by-step explanation:
Hi, the path through the middle of the circular garden is the diameter.
Since the diameter is equal to:
Diameter = 2 radius (r)
Solving for r
14 =2r
14/2 = r
r = 7 feet
The distance around the outside of this garden is the perimeter.
Perimeter of a circle (P) = 2 π r
Replacing with the values given:
P = 2 (3.14) 7 = 43.96 feet
b. area of the circle-
Area of a circle (A)= π r²
Replacing with the values given:
A = 3.14 (7²) =153.86 square feet
Look at attachment for question
Answer:
Answer choice C
Step-by-step explanation:
Since a rectangle has two dimensions and both side lengths of rectangle B are 4 times smaller, the area is 4*4=16 times smaller. 2592/16=162 square units, or answer choice C. Hope this helps!
Please help me I will mark u as brainlyest answer
Answer:
D, D, G, G,
Step-by-step explanation:
1st. Decay: This is decay because number being multiplied is less than 1.
2nd. Decay:This is decay because number being multiplied is less than 1.
3rd. Growth: This is growth because the number being multiplied is greater than 1.
4th.Growth:This is growth because the number being multiplied is greater than 1.
what is y+2=3/2(x+6) in standard form
It may be wrong :(
but i hope it helps
A culture is started with 50,000 bacteria. The table shows the number of bacteria remaining after an antibiotic is added.
Based on the data, which is closest to the number of bacteria at the end of 10 hours?
A) 6,000
B) 9,000
C) 12,000
D) 15,000
Bob's Bakery makes 12 cakes and 36 muffins each hour.
Part A: Create a table to show how many caked and muffins in ll the bakery has made after each hour. Use the rules "add 12" and " add 36"
Part B: Michael says. "The total number of muffins made is ALWAYS 24 more than the total number of cakes made. " Do you agree?
Part C: Michael wants to graph this information. What ordered pair represents the total number of each item make after 6 hours.
Answer:
c
Step-by-step explanation:
Bella has joined a new gym in town. The cost of membership is $25 per month. The after-hours policy at the gym allows her to work out late at night for an extra fee of $4 per visit. If Bella's first monthly bill totaled $53, which equation can be used to determine how many times Bella worked out after hours?
Answer:
25+4x=53 is the equation you would need to determine how many times she went after hours.
Step-by-step explanation:
if you also need to know how many times she went after hours. she went 7 times so x=7
please give brainliest if this helps
What ordered pair is a solution to this system of equations?
x = -1
y = 2x + 5
Group of answer choices
(3, 1)
(-1, 3)
(-1, 8)
(8, -1)
(-1,3)
you plug -1 into the equation y=2x+5 for x since that is what x is equal to and then solve it so y= -3 then your coordinates would be (1,-3)
If 65% of a shape is shaded, what percent is NOT shaded?
Answer:
35%
Step-by-step explanation:
65%= .65
100-.65=.35
.35=35%!
Which triangle is a translation of triangle P? On a coordinate plane, triangle P is shifted 5 units to the right and 7 units up to form triangle C. triangle A triangle B triangle C
Answer:
Triangle C
Step-by-step explanation:
Got it right on edge test
Answer:
c
Step-by-step explanation:
I need help finding the factor!
please
Answer:
(x-8) (x-4)
Step-by-step explanation:
x^2 -12x +32
What two numbers multiply to 32 and add to -12
-8*-4 = 32
-8-4 = -12
(x-8) (x-4)
Answer:
(x - 4)
Step-by-step explanation:
x² - 12x + 32
x² - 8x - 4x + 32
x(x - 8) - 4(x - 8)
(x - 8)(x - 4)
HELP ASAP!! ILL MARK YOU BRAINLIEST IF CORRECT :)
Answer:
compounded quaterly
Step-by-step explanation:
hope this helps
plzz mark me brainliest
Answer:
Let's say:
AM = current amount of money = 3000
APR = interest rate = 2.25
n = number of compounding periods
t = 5 years
Final amount of money:
FAM = AM x [1 + 2.25/n]^(n x 5) = 3000 x [1 + 2.25/n]^(n x 5)
Annual Compounding: FAM = 3000 x (1 + (2.25% / 1))^(1 x 5) = 3353.03
Quarterly Compounding: FAM = 3000 x (1 + (2.25% / 4))^(4 x 5) = 3356.16
Monthly Compounding: FAM = 3000 x (1 + (2.25% / 12))^(12 x 5) = 3356.86
Continuous Compounding: FAM = 3000 x 2.7183^(2.25% x 5) = 3357.22
=>Continuous Compounding gives largest benefit.
=> Option C is correct
Hope this helps!
:)
Solve for f.
-f + 2 + 4f = 8 - 3f
-f +2+4f = 8-3f
3f+2 = 8-3f
6f = 6
f = 1
Answer:
f = 1
Step-by-step explanation:
Isolate the variable, f. Note the equal sign, what you do to one side, you do to the other.
Add 3f and subtract 2 from both sides:
-f + 2 (-2) + 4f (+3f) = 8 (-2) - 3f (+3f)
-f + 4f + 3f = 8 - 2
Simplify:
(-f + 7f) = 6
7f - f = 6
6f = 6
Isolate the variable, f. Divide 6 from both sides:
(6f)/6 = (6)/6
f = 6/6
f = 1
1 is your answer for f.
~
A snail travels 1÷5♡
of an inch in an hour.
How long will it take to travel 5 inches?
[tex] \frac{1}{?5} [/tex]
PART D:
Reflect on your research in Parts A, B and C. Record
at least three questions connected to the research and
analysis you have conducted that you may be
interested in exploring more in the future.
Anybody who will help this is 50 points pls help and don’t just answer for the pints I need you to give me a questions cause idk what to say
Answer:
Do you have a sheet that I can reflect on so that I can come up with some questions? Thanks.
Step-by-step explanation:
what is the area of the square that shares a side with the third side of the triangle?
Step-by-step explanation:
Cuz sides of square are same, we just find hypotenusa side of triangle (use Phytagoras Theorem) :
c² = a² + b²
c² = 2² + 4²
c² = 4 + 16
c² = 20
c = √20
Side of square is √20 units.
The area of square :
A = s²
= √20²
= √20 × √20
= 20 units²
So, the area of square is 20 units²
Hope it helpful and useful :)