The perimeter of the square is 70.8 meters.
To find the perimeter of a square, we need to know either the length of one side or the area of the square. In this case, we are given the area of the square as 313.29 m².
The formula for the area of a square is:
Area = side length²
We can rearrange this formula to solve for the side length:
Side length = √Area
Substituting the given area into the formula, we have:
Side length = √313.29 m²
Calculating the square root of 313.29, we find that the side length of the square is approximately 17.7 meters (rounded to one decimal place).
Since a square has four equal sides, the perimeter is simply four times the side length:
Perimeter = 4 * 17.7 m = 70.8 meters
As a result, the square's circumference is 70.8 metres.
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Freddy earns $750.00/week, he is single and has 3 dependents. He lives in a state with a tax rate of 3%. What does he pay in state income taxes every week?
Answer:
$17.88
Step-by-step explanation:
Freddy earns = $750 per week
Has 3 dependents
and he is single
Tax rate = 3%
Lets calculate Freddy's Annual Taxes and Taxable income
Freddy's Annual income = 750 *52 = $39,000
Annual Allowance for a single person = $2000
Annual allowance for 3 dependents = $2000 * 3 = $6000
Hence Freddy's Annual Taxable Income = ( 39000 - 8000 ) = $31,000
Annual withheld tax = 3% * $31,000 = $930
Therefore Freddy's weekly withheld tax = 930 / 52 = $17.88
Write the slope-intercept form of the equation of the line.
Answer:
1
Step-by-step explanation:
the line is y = x+2
-30=p-17
help pleaseee
Answer:
p = -13
Step-by-step explanation:
Alexa is driving on the freeway. She passed mile marker 400. The fastest she will drive is 65 mph, though there is a bit of traffic that might slow her down a bit, but she doesn't know exactly how much. The mile markers are increasing on her route. Write an equality that represents alexa’s speed
Answer:
she might go 50mph
Step-by-step explanation:
The average temperatures for two of the world's hottest places are given. Determine which location has the warmer average temperature and by how many degrees fahrenheit. Location A: 86.7 F and Location B: 30.1 C
Answer: City A, [tex]0.28^{\circ}C[/tex]
Step-by-step explanation:
Given
The temperature of city A is [tex]86.7\ ^{\circ}F[/tex]
The temperature of city B is [tex]30.1^{\circ}C[/tex]
We know, [tex]32^{\circ}F=0^{\circ}C[/tex]
So, [tex]86.7^{\circ}F=30.38^{\circ}C[/tex]
[tex]30.38>30.1[/tex]
Clearly, the average temperature of city A is more than city B
The difference in temperature is [tex]30.38-30.1=0.28^{\circ}C[/tex]
HURRY NEED HELP ASAP
The following information is known about a loan.
Time = 8 years
Interest rate = 14%
Principal = $1,010
What is the total amount of simple interest that is earned?
$113.20
$1,131.20
$11,311.20
$113,112.00
Answer:
1,131.20
Step-by-step explanation:
I=prt
1,010*0.14*8
6. Place the decimals in order from
least to greatest.
2.12 2.21 2.14 2.41
4.51 45.1 54.1 4.15 41.5
Answer:
2.12
2.14
2.21
2.41
4.15
4.51
41.5
45.1
54.1
What is the sum of 5+ 12^2
Answer:
169
Step-by-step explanation:
5² + 12²
25 + 144
169
true or false: the diagonals of a rectangle bisect opposite angles
Answer:
False
Step-by-step explanation:
diagonals don't have to be congruent or bisect each other. The diagonals of a rectangle bisect its angles.
The initial temperature of the mixture was +20 °C. The mixture froze at –1.5 °C.
A total of 165 kJ of internal energy was transferred from the mixture to cool and
freeze it.
specific heat capacity of the mixture = 3500 J/kg °C
specific latent heat of fusion of the mixture = 255 000 J/kg
Calculate the mass of the mixture.
Give your answer to 2 significant figures.
Answer:
Step-by-step explanation:
Cups are sold in packages of 8. Napkins are sold in packages of 12.
What is the fewest number of packages of cups and the fewest number of packages of napkins that can be purchased so there will be the same number of cups as napkins?
Answer:
2 Packages of Napkins, 3 Packages of Cups
Step-by-step explanation:
12 * 2 = 24
8 * 3 = 24
Answer:
3 packages of cups and 2 packages of napkins
What is the approximate diameter of a tire that will make 775 complete rotations in one mile? (Note: there are 5280 feet
in 1 mile)
Answer:
About 2.17 feet.
Step-by-step explanation:
Let d represent the diameter of the tire.
Then the circumference of the tire will be:
[tex]C=d\pi[/tex]
So, the tire will travel dπ miles after one rotation.
After 775 rotations, the total miles traveled should be 5280 feet. Thus:
[tex]775(d\pi)=5280[/tex]
Solve for d:
[tex]\displaystyle d=\frac{5280}{775\pi}[/tex]
Approximate:
[tex]d=2.1686...\approx2.17[/tex]
The circumference of the tire should be about 2.17 feet.
Write the unit rate per video game. $78 for 4 video games. $ for video game. 100 points question better not be wrong or else
Answer:
78:4
Step-by-step explanation:
Meredith invests $18,200 in an account that earns
3.25% simple interest. What will the balance in
Meredith's account be after 15 years?
this is really easy i just dont get it
Answer:
x=1
Step-by-step explanation:
We wanna have the same amount on both sides
There are 3 circles on the left and 7 circles on the right. There are also 4 triangles. Turn into numbers...
4x+3=7
4x=7-3
x=1
We can check by substituting one
7=7
1. Which equation represents a line that is parallel to the line y = 4x – 1?
A contractor rents a trailer truck to
haul materials. The inside of the
trailer is 20 feet long, 7 feet wide,
and 8 feet high. Find the storage
capacity of the trailer in cubic feet.
Answer:
1120ft^3
Step-by-step explanation:
1. Lynn is tracking the progress of her plant's growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. A. Find an equation that represents the plants height after any given number of days. B. How tall is the plant after 9 days?
Answer:
the anwer is C
Step-by-step explanation:
I hope its help
Evaluate ba+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a mixed number in simplest form.
Answer:
-117/640
Step-by-step explanation:
ba + cd
b= -7/16
a= 7/8
c= 08.(4/5)
d= 1/4
Hence it can be calculated as follows
-7/16×7/8 + 4/5×1/4
-49/128 + 1/5
-246+128/640
= -117/640
Answer: -2 11/20
Step-by-step explanation I did this and it is correct
HELP ME QUICK
Consider the Pythagorean Theorem and its converse. Which statements are correct?
A)
6, 8, and 10 are possible side lengths for a right triangle.
B)
10, 15, and 20 are possible side lengths for a right triangle.
The Pythagorean Theorem works only for sides of a right triangle.
D)
If the sides of a right triangle are of length 8 and 15. its hypotenuse is 17
E)
The Converse of the Pythagorean Theorem allows us to calculate side
lengths of right triangles.
Answer:
Step-by-step explanation:
A-Yes
B-No
C-Yes
D-Yes
E-Yes
If consider the Pythagorean Theorem and its converse. A, C, D, and E are correct statements.
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
In this case, statement A is correct because 6, 8, and 10 are possible side lengths for a right triangle.
Statement B is incorrect because 10, 15, and 20 are not possible side lengths for a right triangle.
Statement C is correct because the Pythagorean Theorem works only for sides of a right triangle.
Statement D is correct because if the sides of a right triangle are of lengths 8 and 15, its hypotenuse is 17.
Statement E is correct because the converse of the Pythagorean Theorem allows us to calculate the side lengths of right triangles.
Thus, the correct statements would be options A, C, D, and E.
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Noah randomly selects one of his eight different pairs of shoes to wear each day. Of his eight pairs of shoes, Noah has two pairs of boots and one pair of loafers. For how many days of the next 264 is it expected that Noah will wear either boots or loafers?
Answer: I’m pretty sure it’s 11/264 days
Step-by-step explanation:
How to factorise
a²b² - 6abc + 9c²
can anyone explain it by step-by-step
pls
Answer:
here is the step by step factorization process
Please help with #28 I’m really struggling to figure this answer out!
Answer:
cant help you i dont one suck
2/5p-3.11=1.13
what is p
2p-4+16=5p-9
-3p-4+16=-9
-3p-4=16+-9
And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.
Did this help?An item is regularly priced at $30. It is now priced at a discount of 30% off the regular price. What is the price now?
help asap i need to know if the property is a b c or d
Answer:
B
Step-by-step explanation:
In steps 1 and 2 there is only addition occuring to both sides of the equation.
The triangle shown has an area of 32.5 square centimeters. Find the measure of the base (segment XY)
Answer:
XY = 13 cm
Step-by-step explanation:
Area of a triangle formula:
area = base × height / 2
a = bh / 2
Plug numbers into equation:
32.5 = b × 5 / 2
Multiply both sides by 2 to isolate the variable
65 = b × 5
Divide both sides by 5 to isolate the variable
13 = b
Check your work:
32.5 = 13 × 5 / 2
32.5 = 65 / 2
32.5 = 32.5
Correct
Answer:
13
Step-by-step explanation:
Area=½×b×h
32.5=½×b×5
32.5=5/2b
To get be multiply each side by reciprocal of 5/2 which is 2/5
b =13
Natalie had 20 lbs. of cat food. If she feeds
her cat 6 of a pound daily, how many days
will the food she has last?
Answer:
3 days
Step-by-step explanation:
20/6 is 3.333
Answer:
3 days
Step-by-step explanation:
cuz after three days you will have two pounds left so you cant go another day
(8x- 1) (11X - 25) (15y - 48)
1320xyX−4224xX−165yX−3000xy+528X+9600x+375y−12001320xyX-4224xX-165yX-3000xy+528X+9600x+375y-1200
PLEASE I NEED URGENT HELP!!!!! lan and Jessica each save their quarters. Ian starts out with 34 quarters and saves 8 quarters a month. Jessica starts out with 2 quarters and saves 16 quarters a month. In how many months will Jessica have the same number of quarters as lan? How many quarters will each of them have?