Answer:
a.) Side length of the square is 6 units.
b.) Side length of the square is sqrt(37) units.
c.) Side length of the square is 10/3 units.
d.) Side length of the square is sqrt(2/5) units.
e.) Side length of the square is 0.01 units.
f.) Side length of the square is sqrt(11)/10 units.
Step-by-step explanation:
To find - Write the exact value of the side length of a square whose are in square units are given
a) 36
b) 37
c) 100/9
d) 2/5
e) 0.0001
f) 0.11
Proof -
We know that ,
If a is the side length of the square then,
Area of square = a²
Now,
a) 36
⇒a² = 36
⇒a² = (6)²
⇒a = 6
∴ we get
Side length of the square is 6 units.
b.) 37
⇒a² = 37
⇒a² = [sqrt(37)]²
⇒a = sqrt(37)
∴ we get
Side length of the square is sqrt(37) units.
c.)100/9
⇒a² = 100/9
⇒a² = [10/3]²
⇒a = 10/3
∴ we get
Side length of the square is 10/3 units.
d.)2/5
⇒a² = 2/5
⇒a² = [sqrt(2/5)]²
⇒a = sqrt(2/5)
∴ we get
Side length of the square is sqrt(2/5) units.
e.)0.0001
⇒a² = 0.0001
⇒a² = [0.01]²
⇒a = 0.01
∴ we get
Side length of the square is 0.01 units.
f.)0.11
⇒a² = 0.11
⇒a² = [sqrt(11)/10]²
⇒a = sqrt(11)/10
∴ we get
Side length of the square is sqrt(11)/10 units.
We get the value of the,
a.) Side length of the square is 6 units.
b.) Side length of the square is sqrt(37) units.
c.) Side length of the square is 10/3 units.
d.) Side length of the square is sqrt(2/5) units.
e.) Side length of the square is 0.01 units.
f.) Side length of the square is sqrt(11)/10 units.
We have to find the exact value of the side length of a square whose are in square units are given
a) 36
b) 37
c) 100/9
d) 2/5
e) 0.0001
f) 0.11
We have given that,sqrt(9) to represent the square root of 9.
We know that ,
If a is the side length of the square then,
what area of the square?Area of square = a²
For option a) 36
⇒a² = 36
⇒a² = (6)²
⇒a = 6
∴ we get side length of the square is 6 units.
For the option b is 37.
⇒a² = 37
⇒[tex]a^2 = \sqrt{37} ^2[/tex]
⇒[tex]a = sqrt(37)[/tex]
∴ we get side length of the square is [tex]\sqrt(37)[/tex] units.
c.)100/9
⇒[tex]a^2 = 100/9[/tex]
⇒[tex]a^2= [10/3]^2[/tex]
⇒[tex]a = 10/3[/tex]
∴ we get side length of the square is 10/3 units.
for the option d.)2/5
[tex]a^2= 2/5[/tex]
[tex]a^2 = [\sqrt(2/5)]^2[/tex]
⇒[tex]a = \sqrt(2/5)[/tex]
∴ we get side length of the square is [tex]\sqrt(2/5)[/tex]units.
for the option e.)0.0001
[tex]a^2 = 0.0001[/tex]
[tex]a^2 = [0.01]^2[/tex]
[tex]a = 0.01[/tex]
∴ we get side length of the square is 0.01 units.
For option f.)0.11
⇒[tex]a^2 = 0.11[/tex]
⇒[tex]a^2= [\sqrt(11)/10]^2[/tex]
[tex]a = \sqrt(11)/10[/tex]
∴ we get side length of the square is[tex]\sqrt(11)/10[/tex] units.
Therefore we get,we get the value of the,
a.) Side length of the square is 6 units.
b.) Side length of the square is sqrt(37) units.
c.) Side length of the square is 10/3 units.
d.) Side length of the square is sqrt(2/5) units.
e.) Side length of the square is 0.01 units.
f.) Side length of the square is sqrt(11)/10 units.
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Solve the following system of equations by elimination: 2x + y = -1 3x - y = -9
Answer:
x = -2, y = 3
Step-by-step explanation:
2x + y = -1
3x - y = -9
2x + y + 3x - y = -1-9
5x = -10
x = -2
2(-2) + y =-1
-4 + y = -1
y = 3
Daniel rode his bike for 6 hours and he jogged for 8 hours during the past 2 weeks. If he continues biking and jogging at the same rate, how many hours will he ride his bike and jog in 24 weeks?
A. 168 hours
B. 336 hours
C. 192 hours
D. 14 hours 8 hours 6 Hours 2 weeks
Answer:
B. 336 hour's
Step-by-step explanation:
sana nakatulong :-)
Answer:
168hours
Step-by-step explanation:
2weeks=6+8=14
1 week=7
24×7=168
A furniture company is ordering screws. The company uses 37 screws to make each table and 14 screws to make each chair. The company needs to order screws for 12 tables and 48 chairs.
Which answer is the most reasonable estimate of the total number of screws they need to order?
Answer:
they need exactly 896 screws, 244 for tables and 652 for chairs, since it says reasonable estimate I would say 900, but again the exact amount it 896. I hope this helps.
Step-by-step explanation:
Find the simple interest. Round to the nearest
cent if necessary.
$1450, 32%, 3 months
Answer: $116
Step-by-step explanation:
Simple interest is calculated using the formula = PRT
where,
P = principal = $1450
R = rate = 32%
T = time = 3 months = 3/12 = 1/4 = 0.25
Interest = PRT
= 1450 × 32% × 0.25
= 1450 × 0.32 × 0.25
= $116
The simple interest is $116
6a+5b=4.54
3a+7b=3.17
[tex]6a = 4.54 - 5b \\ a = \frac{227}{300} - \frac{5}{6} b \\ 6a = 4.54 - 5b \\ a = \frac{227}{300} - \frac{5}{6} \\ 3( \frac{227}{300} - \frac{5}{6} b) + 7b = 3.17 [/tex]
[tex] 3( \frac{227}{300} - \frac{5}{6} b) + 7b = 3.17 \\ \frac{227}{100} - \frac{5}{2}b + 7b = 3.17 \\ \frac{9}{2}b = 0.9 \\ b = 0.2 \\ a = 0.59[/tex]
What two numbers have a product of 110 and a sum of -21?
Answer:
-11 and -10
Step-by-step explanation:
-11×-10=110
-11+-10=-21
What is the simplified form of i^3
O A. 1
O B.-i
O c. i
O D. -1
Answer:
B
Step-by-step explanation:
B because i² makes +1 and i=-1
so i³=-i
Stevie can refinish a driveway in 4 hours. Ray can refinish the same driveway in 3 hours. Princess can refinish the same driveway in 2 hours. If all three work together, how long would it take them to refinish 5 driveways? Show all work
Answer: 45 because 4+3+2=9 and 9x5=45
4x+5y=60. what is the x and y intercepts? show work pls!!
Answer: (4,5)
Because I don't know another way I can solve
Step-by-step explanation:
Answer:
x-intercept: (15, 0)
y-intercept: (0, 12)
Step-by-step explanation:
1.) convert the equation to y=mx+b format
4x + 5y= 60
5y = -4x + 60
y = -4/5x + 12
2.) Now we know that "b" in the equation is the y-intercept. 12 is b so the y-intercept is 12.
3.) To find x intercept we will plug in y=0.
0 = -4/5x + 12
-12 = -4/5x
15 = x
Which angles are adjacent? Select all that apply.
∠AFB and ∠BFC
∠AFB and ∠CFD
∠BFC and ∠CFD
∠BFC and ∠DFE
∠CFD and ∠DFE
Plz Do not look at my name and hack me
Answer:
1
3
Step-by-step explanation:
Answer:
A,C,E or 1,3,5
Step-by-step explanation:
you put 5,000 dollers in an account that earns 4% intrest compounded annually . how much intrest will you have earned in 10 years?
Answer:
$2401.22
Step-by-step explanation:
Since 4% of 5000 is 200, we add 200 to our total, after 9 more 4% interest calculations, all we need to do is subtract the total by 5000.
I feel like this should be easy but ldk
Answer:
1962/18=109.
Division sign
Step-by-step explanation:
Answer:
1962 ÷ 18
Step-by-step explanation:
i answered in the comments before the other person
oh well
dum bots taking up answers
2) Solving an equation - using the distributive property and inverse operations to solve 4/5
the average of six consecutive even integers is 31. What is the sum of the smallest plus the largest of the integers?
Answer: 11
Step-by-step
x+x+1+x+3+x+5+x+7+x+9= 31
smallest is one
largest is 10
Hope it helps :)
Freckles and Rocky are Miss Nagel's puppies. They each eat their food at a different rate which is shown below. Who eats the fastest and how many more pieces per second?
Rocky
Time in seconds (t) 2 5 6 10
Pieces of dog food eaten (p) 8 20 24 40
Freckles
p = 7t
let p = pieces of food taken
let t = time in seconds
Answer:
A
Step-by-step explanation:
In Littletown, the probability that a baseball team goes to the city playoffs is
0.20. The probability that the team goes to the state playoffs given that the
team goes to the city playoffs is 0.10.
What is the probability that a randomly selected team from Littletown goes to
the city and state playoffs?
• A. 0.06
• B. 0.10
• C. 0.50
• D. 0.02
some one help pleaseeeeeeeeeee
Answer:
hello i misss u hello love u
HELP ASAP!!! Giving brainliest to whoever answers first!!!
Answer:
basically do 23+35+27+48+18+35= 186 then divide it by how many there are (6) = 31 so the answer is 31
Answer:
31 is the mean points Jeremy scored
HELP PLEASE BABES! I need it!!
Answer:
i think its no solution because it is parallel
Step-by-step explanation:
25% of the tickets sold at a school carnival were early-admission tickets. If the school sold 272 tickets in all, how
many early-admission tickets did it sell?
Answer:
HEY! it is me I am going to put my questions here
Step-by-step explanation:
speed of light is approximately 3x10^8 meters per second. While solving a problem,
Cara used 3x 10^10 meters per second for the speed of light and got the incorrect answer.
By which factor should Cara multiply her answer in order to get the correct answer?
Mark and Tony have a total of 121 baseball cards. Tony has 5 more than three times Mark's amount. How many cards does Mark have?
Answer:
29
Step-by-step explanation:
make Mark x and Tony 3x + 5
X+3x+5=121
The number of baseball cards in between Tony and Mark is a linear equation, where Mark has 29 cards.
What is a linear equation?A linear equation is an equation where the variable has the highest power of one. A linear equation may be consists of multiple variables.
Let, Mark has x cards.
Therefore, Tony has (3 × x + 5) cards = (3x + 5) cards.
Given, x+ 3x + 5 = 121
⇒ 4x +5 = 121
⇒ 4x = 121 - 5
⇒ 4x = 116
⇒ x = 116 / 4
⇒ x = 29
Hence, Mark has 29 cards.
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find the area of the circle. round to the nearest tenth. please help and please show work!!!!!
Answer:
A = 254.5 mm^2
Step-by-step explanation:
The radius of this circle is 9 mm.
Using the formula A = (pi)r^2, we find the area of this particular circle to be:
A = (pi)(9 mm)^2, or
A = 254.5 mm^2
Which of these nets can be folded to create a rectangular prism? Select all that work.
The figure in option (D), makes the rectangular prism when nets are folded.
What is rectangular prism?A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also a cuboid. A cuboid and a rectangular prism have the same cross-section.
In the given question, the nets are given,
When nets are folded, they create a rectangular prism.
From the given options,
In first three options, the base makes the rectangle, but the heights are not same, to make cuboid.
In option (D), the base makes the rectangle and the height of the all sides are equal, therefore, it creates a rectangular prism.
Hence, option (D) is correct option.
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Find the surface of each pyramid. round to the nearest tenth if necessary.
PLEASEEEEEEEE HELLLP MEEE!!! GIVING 95 POINTS!!!
Answer:
1) markdown
2) percent error
3) principle
4) percent change
Step-by-step explanation:
markdown
percent error
principle
percent change
Hope I could help <3
How many solutions can be found for the equation 12x + 8 = 10x + 18? (4 points)
a
No Solution
b
One
c
Two
d
Infinitely Many
Answer:
b
Step-by-step explanation:
Given
12x+ 8 = 10x + 18 ( subtract 10x from both sides )
2x + 8 = 18 ( subtract 8 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
The equation has one solution
Answer:
B
Step-by-step explanation:
verification
12 x 5 + 8 = 10 x 5 + 18
68= 68
since the answer is 68
it is the only one answer that you can get
Question 4
2 pts
The first year of a charity walk event had an attendance of 500. The attendance
y increases by 5% each year.
How many people will attend in the 10th year?
A) 525 People
B) 814 People
C) 250 People
Answer:
b
Step-by-step explanation:
Number of people in the 10th year can be determined using this formula
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future number of people at the charity
P = number of people at the charity in the first year
R = rate of increase
N = number of years
500 x (1.05)^10 = 814 people
Sharon rented a car for a base price of $200 and has to pay $13 for each day she drives. If her total bill is $252, how many days did she drive the rental car? Write a function rule to represent the total cost of renting a car as a function of the miles driven. Be sure to define your variables. b) Use your function rule to set up an equation to find the total miles driven, if Sharon was charged $252. c) Solve your equation from part (b) and determine how many miles were driven.
three thousand two handrend and seventy six
Consider the point X at (0,21) and point Y at (88, -103). What is the coordinate of the midpoint of xy
Step-by-step explanation:
let M be the midpoint of x and y
xM= (xX+xY)/2 =(0+88)2=44
yM=(Yx+yY)/2=(21_103)/2=_41
M(44,_41)
