Answer:
The exact perimeter is [tex]18\sqrt{2}[/tex] meters.
This is approximately 25.5 meters (nearest tenth).
The area of the rectangle is 36 square meters.
Step-by-step explanation:
Area of a rectangle = width × length
Perimeter of a rectangle = (2 × width) + (2 × length)
Given:
length = [tex]\sqrt{72}[/tex] mwidth = [tex]\sqrt{18}[/tex] mPerimeter
[tex]\textsf{Perimeter}=2 \sqrt{18} +2\sqrt{72}[/tex]
[tex]=2 \sqrt{9 \cdot 2} +2\sqrt{36 \cdot 2}[/tex]
[tex]=2 \sqrt{9} \sqrt{2}+2\sqrt{36}\sqrt{2}[/tex]
[tex]=2 \cdot 3 \sqrt{2}+2\cdot 6\sqrt{2}[/tex]
[tex]=6 \sqrt{2}+12\sqrt{2}[/tex]
[tex]=18\sqrt{2} \textsf{ m}[/tex]
The exact perimeter is [tex]18\sqrt{2}[/tex] meters.
This is approximately 25.5 meters (nearest tenth).
Area
[tex]\textsf{Area}=\sqrt{18} \times \sqrt{72}[/tex]
[tex]=\sqrt{9 \cdot 2} \times \sqrt{36 \cdot 2}[/tex]
[tex]=3\sqrt{2} \times 6\sqrt{ 2}[/tex]
[tex]=18\sqrt{2}\sqrt{ 2}[/tex]
[tex]=18 \cdot 2[/tex]
[tex]=36 \textsf{ m}^2[/tex]
The area of the rectangle is 36 square meters.
PLEASE EXPLAIN
Why is the unit in volume measured with units cubed instead of units squared?
Answer:
It's cubic because volume occupies a three dimensional space. Area is measured in a second unit of length
Step-by-step explanation:
Answer:
Volume is 3 dimensions
Step-by-step explanation:
Cubed is 3 dimensions: length, width, and height - like measuring how much water will fit in a cup. Squared is only 2 dimensions - like when you measure a piece of paper or a floor tile or a piece of fabric.
A wire 26 cm long is cut into two pieces. The longer pieces is 2 cm longer the the shorter peice.
Find the length of the shorter peice of wire _________ cm
Answer:
26÷2=13 so if the longer one is 2 cm longer so 13+1 =14. the shorter one is going to be 13-1=12 so 12+14 =26 and the shorter one is 2 cm smaller then the longer one
Sandra makes and sells bracelets. It costs her $2 to make each bracelet, plus a one-time cost of $15 for supplies. She plans to sell each bracelet for $5. Let x represent the number of bracelets. Which equation can be used to find the number of bracelets she needs to sell to break even?
2 x minus 5 x = 15
2 x + 5 x = 15
2 x + 15 = 5 x
5 x + 15 = 2 x
A map has a scale of 3 cm:20 km. If two cities are 30 cm apart on a map, how far are the cities actually apart?
The actual distance between the cities is 200 km using multiplication.
The scale of the map is 3 cm : 20 km. This means that for every 3 cm on the map, the actual distance in real life is 20 km.
If two cities are 30 cm apart on the map, we can use the scale to find the actual distance between them. First, we need to determine how many times the scale goes into the distance on the map. To do this, we divide the distance on the map by the length of the scale:
30 cm ÷ 3 cm/20 km = 30 ÷ 3 × 20 = 200 km
Therefore, the actual distance between the two cities is 200 km.
Alternatively, we can use the proportionality between the scale and the actual distance to set up a proportion and solve for the actual distance. Let x be the actual distance between the cities in kilometers:
3 cm / 20 km = 30 cm / x
Cross-multiplying and solving for x, we get:
x = (20 km / 3 cm) × 30 cm = 200 km
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Janice wins the lottery and takes a lump sum payment. She receives $14,298,120. She places
$10,000,000 into a money market account receiving 10% annual interest compounded monthly,
how much will be in the account after 1 year?
Answer:
The total compound interest is $1,047,130.76.
Step-by-step explanation:
The amount of the money received after 1 year is $31384283.7672.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].
Given that, principal = $10,000,000, rate of interest =10% and time period = 1 year
Here, A=10,000,000(1+10/100)¹²
= 10,000,000(1.1)¹²
= $31384283.7672
Therefore, the amount of the money received after 1 year is $31384283.7672.
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Help help help help help help math
Answer:
55
Step-by-step explanation:
Area=LxW
so, Area=11x5
=55
Answeri think its 55
Step-by-step explanation:
you have to multiply 5x11 and thats 55 which is simple becaused i suck at explaining stuff
PLEASE HELP ASAP!!!!!
a lower auto insurance deductible usually means a higher __
a.) maintenance cost
b.) max out of pocket
c.) premium
d.) ticket.
The deductible is the amount one pays towards the auto insurance
The complete statement is: a lower auto insurance deductible usually means a higher premium
What is deductible?When an insured loss or disaster happens, the amount one pay towards the loss is referred to as the deductible
As a general rule, the more the deductible, the lower the premium; and vice versa.
This means that: a lower auto insurance deductible usually means a higher premium
Hence, the text that completes the statement is premium
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If an article is sold for rs 99000 after discount of 10％ on marked price and adding 10％ of Value added tax VAT find marked price
Answer:
100000 rupees
Step-by-step explanation:
x × 0.90 × 1.10 = 99000x = 100000Find the slope of the line that passes through \left(10,8\right)(10,8) and \left(1,9\right)(1,9).
Slope ==
Answer:
m = -1/9
Step-by-step explanation:
Choose the correct graph of the function y=√x+1.
Answer:
[A}
Step-by-step explanation:
Graph using the end point and a few selected points.
x y
0 1
1 2
2 2.41
Graph also below:
Find y intercept
[tex]\\ \rm\rightarrowtail y=\sqrt{x}+1[/tex]
[tex]\\ \rm\rightarrowtail y=0+1=1[/tex]
y intercept=(0,1)Option A
Vani has a collection of vintage action figures that is worth $140. If the collection
appreciates at a rate of 15% per year, which equation represents the value of the
collection after 2 years?
OV = 140(0.85)
Submit Answer
O V = 140(0.15)
V = 140(1 - 0.15)2
V = 140(1 + 0.15)?
The equation represents the value of the collection after 2 years is V = 140(1 + 0.15)^2.
What equation represents the value of the collection?
When the value of an asset appreciates,it means that the price of the item increases with the passage of time.
The formula for calculating future value with appreciation is:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of yearsV = 140(1 + 0.15)^2.
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Answer:
Step-by-step explanation:
V=140(1+0.15)
2
What is the volume of this right prism?
1200 in³
1800 in³
2040 in³
3600 in³
Right triangular prism. The height of the prism is labeled as 15 in. The base of the prism is a triangle with the base labeled as 30 in., the height labeled as 8 in., and the other 2 sides of the triangle labeled as 17 in.
brainleiest whoever answers
Answer:
1800 in^3
Step-by-step explanation:
What is the MAD of this data ? Round to the nearest hundredth. 7, 14, 15, 9, 11, 14, 11, 10, 17
Step 1 :
Find the mean of the data :
(2+4+6+8) / 4 = 20/4 = 5
Step 2 :
Find the distance between each data and mean.
Distance between 2 and 5 is 3
Distance between 4 and 5 is 1
Distance between 6 and 5 is 1
Distance between 8 and 5 is 3
Step 3 :
Add all the distances :
3+1+1+3 = 8
Step 4 :
Divide it by the number of data :
8 / 4 = 2
2 is the average absolute deviation.
So hence, your answer is 2.67"The beautiful thing about learning is that no one can take it away from YOU"
B.B.King
Find the absolute maximum and minimum, if either exists, for the function on the indicated interval. f (x) = x^4 + 4x^3 - 10 [-2, 2] [-4, 0] [-2, 1] Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. The absolute maximum, which occurs twice, is at x = and x =. (Use ascending order.) The absolute maximum is at x =. There is no absolute maximum.
Answer:
d/dx x^4 + 4x^3 - 10
4x^3 + 12x^2
4x^3 + 12x^2 = 0
x = 0, -3
plug in x if you want the value
show that the function F(x)=x3 +2x is odd. show all work and explain
a function is odd if f(-x) = - f(x)
f(x) = x³ + 2x
and
f(-x) = (-x)³ + 2 * (-x) = - x³ - 2x = - (x³+2x) = - f(x)
Answer:
Step-by-step explanation:
tlk here
1. Shaw High School is having a fundraising event. Products of equal value totaling $480 are sold to an audience of an unknown number of people. The entrance fee is $10.00 per person.
a. What equation gives the total cost per person y as a function of the number of people x, if everyone bought the same amount?
b. How many people must show up in order for the total cost per person to be $16?
HELP MEEEEEEEEEEEEEEEE
Answer:
10x=480 (x=48)
30 people must show up for the total cost per person to be $16
Step-by-step explanation:
p= people
10p = 480
($10 multiplied by the number of people) 10p
p = 48
48 people bought $10 entrance
$16 multiplied by the number of people =16p
16p = 480
p = 30
30 people must show up for the total cost per person to be $16
Select the correct answer from each drop-down menu.
Look at the expression below.
Where could parentheses be placed in the expression for it to equal 4?
Where could parentheses be placed in the expression for it to equal 358?
Find the value of the expression 1/2x+3 if x=12
Answer:
The answer is 9.
Step-by-step explanation:
1/2 * 12 = 6
6+3=9
Answer:
9
Step-by-step explanation:
x = 12
1/2 · 12 = 6
6 + 3 = 9
A sailboat leaves St. Thomas bound for an island in the British West Indies, 200 miles away. Maintaining a constant speed of 18 miles per hour, but encountering heavy crosswinds and strong currents, the crew finds after 4 hours that the sailboat is off course by 15°.
(a) How far is the sailboat from the island at this time?
(b) Through what angle should the sailboat turn to correct its course?
(c) How much time has been added to the trip because of this? (Assume that the speed remains at 18 miles per hour.)
The distance of the sailboat from the island at this time will be 131.78 miles.
How to calculate the distance?The distance of the sailboat from the island will be calculated by using the law of cosines. This will be:
a² = (18 × 4) + 200² - (2 × 72 × 200 cos 15°)
a² = 72 + 200² - (144 × 200 cos 15°)
a = 131.78 miles.
The angle that should be used by the sailboat to correct its course will be:
= 180° - (sin 15°/131.78)
= 180° - 22.95°
= 157.05°
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The radius of the half dollar in centimeters is shown.
Which of the following is closest to the area of the face of the
half dollar?
A. 12 cm2
B. 15 cm2
C. 28 cm2
D. 735 cm2
Step-by-step explanation:
12 is your answer
22/7 × 1.95× 1.95
you will get 11.9
round off to get
12
bai
If the number of equally likely sample outcomes of a single experiment is 4, what is the total number of elements in the sample space if the experiment has 3 stages?
If 15 percent of cars are blue and an observer's observation is 80 percent accurate, what is the probability that a car is, in fact, blue when the witness reports it as blue
The probability that a car is blue is the likelihood of the car being blue
The probability that a car is, in fact, blue when the witness reports it as blue is 12%
How to determine the probability?The given parameters are:
P(Blue) = 15%
P(Accurate) = 80%
The probability that a car is blue, and the observation is accurate is calculated as:
P(Blue and Accurate) = P(Blue) * P(Accurate)
This gives
P(Blue and Accurate) = 15% * 80%
Evaluate the product
P(Blue and Accurate) = 12%
Hence, the probability that a car is, in fact, blue when the witness reports it as blue is 12%
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A point located at (-3, 2) is translated down 4 units. What are the coordinates of the image?
(-3, -2)
(1, 2)
(-3, 6)
(-7, 2)
Answer:
(-3, -2)
Step-by-step explanation:
When a point is translated, the key words are very important to look at.
Up/down means you are translating the y axis.
Left/right means you are translating the x axis.
So using this key, we can solve.
-------------------------------------------------------------------------------------------------------------
A point located at (-3, 2) is translated down 4 units.
Since the point is going down, we will be translating the y axis. 2-4 is -2.
Since the x is staying the same, the x will be -3.
So your translated points are (-3, -2)
-------------------------------------------------------------------------------------------------------------
I hope this helps!
-No one
HELP ITS FOR RIGHT NOW!!!!!
You are building a tabletop. You will use the plan shown, except that you will make all dimensions 2 1/2 time as large. What will be the area of your tabletop?
Answer:
109.375
Step-by-step explanation:
We need to multiply all of the lengths and widths by 2 1/2 in order to make the dimensions 2 1/2 times larger.
For length:
[tex]5\frac{1}{4}[/tex] x [tex]2\frac{1}{2}[/tex] = 13.125 or [tex]13\frac{1}{8}[/tex]
For width:
[tex]3\frac{1}{3}[/tex] x [tex]2\frac{1}{2}[/tex] = 8.333 or [tex]8\frac{1}{3}[/tex]
Then to find the area use the equation:
A = l x w (Area = length x width)
And plug in the values:
A = [tex]13\frac{1}{8}[/tex] x [tex]8\frac{1}{3}[/tex] = [tex]\frac{875}{8}[/tex] or [tex]109\frac{3}{8}[/tex] or 109.375
Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. How many slices of pears does she have to share with her teammates? Which equations can you use to solve the problem? Select two equations.
A. 5 × 3 = 15
B. 1/5 × 1/3= 1 /15
C. 1/5 × 3 = 3/5
D. 5 ÷ 1/3 =15
E. 1/3 ÷ 5 = 1/15
Answer :D
A (or) 5 * 3= 15
Question explanation:
5 pears.
3 pieces
[tex](1 * 3) + (1 * 3) + (1 * 3) + (1 * 3) + (1 * 3)[/tex]
Which is:
[tex](3) * (3) * (3) * (3) * (3)[/tex]
Which, simplified:
[tex]3 * 5[/tex]
Which equals:
[tex]3 * 5 = 15[/tex]
Hope this helps :) - Answered by Lilo
suppose that a movie rental company supervid charges a $30 subscription fee and $1.5 per movie. lets say that another company megawatch charges $100 subscription fee but only $0.90 per show. what are the cost functions for each company's subscription plan.
Answer:
the first on is y=30+1.5x and megawatch is y=100+0.90x
Step-by-step explanation:
Luka and Gabby rent a tandem bike for $25/hr.Which value is the dependent variable? Which is the independent variable? Write an equation to represent the relationship between the number of hours, h, and the total cost of c.
c = 25(h)
dependent variable : They must give $25 per hour.
independent variable: time is independent as no specific time given.
total cost = $25 * hours taken
c = 25 * h
c = 25(h)
Answer:
See below ↓
Step-by-step explanation:
Given
rate of renting a tandem bike = $25/hh = number of hoursc = total costSolving
Clearly, as the number of hours does not depend on another variable, h is the independent variableTherefore, c is the dependent variableThe equation is :⇒ c = 25hFind the area of the parallelograms below. 21m 33m 21m
Answer:
a. 693²
b. 148.2 yd²
Step-by-step explanation:
The area of a parallelogram is the product of its base length and the height measured perpendicular to that base.
__
a.A = bh = (21 m)(33 m) = 693 m²
__
b.A = bh = (19 yd)(7.8 yd) = 148.2 yd²
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]- 10(2) + y = 4[/tex]
[tex] - 20 + y = 4[/tex]
[tex]y = 24[/tex]
For x=1[tex] - 10( 1) + y = 4[/tex]
[tex] - 10 + y = 4[/tex]
[tex]y = 14[/tex]
For x=0[tex] - 10(0) + y = 4[/tex]
[tex]0 + y = 4[/tex]
[tex]y = 4[/tex]
For x=-1[tex] - 10( - 1) + y = 4[/tex]
[tex]10 + y = 4[/tex]
[tex]y = - 6[/tex]
For x=2[tex] - 10( - 2) + y = 4[/tex]
[tex]20 + y = 4[/tex]
[tex]y = - 16[/tex]
Answer:
-2 = -16
-1 = -6
0 = 4
1 = 6
2 = 16
Step-by-step explanation:
A rectangular parking lot has a length that is 9 yards greater than the width. The area of the parking lot is 360 square yards. Find the length and the width.
Answer: The width is 15 yards and the length is 24 yards
Step-by-step explanation:
Let x represent the width of the parking lot in yards
Let the length of the parking lost be (x + 9) as the length is 9 yards greater than the width
So, area = width * length
i.e. 360 = x(x + 9)
360 = x2 + 9x
x2 + 9x - 360 = 0
x2 + 24x - 15x - 360 = 0
x(x + 24) - 15(x + 24) = 0
(x + 24)(x - 15) = 0
Either x = -24 or, x = 15
But as width can not be negative, so we can not have, x = -24
So, we have, x = 15
Therefore, (x + 9) = (15 + 9) = 24
So, we have the following answers.
Width : 15 yards
Length : 24 yards