A person is designing a new rectangular garden. Its area must be 344 square feet. List the length and width, in feet, of all the possible gardens with this area. Use whole-number dimensions. Which garden has the least perimeter?
Answer:
(1 x 344) ft
(344 x 1) ft
(2 x 172) ft
(172 x 1) ft
(4 x 86) ft
(86 x 4) ft
(8 x 43) ft
(43 x 8) ft
the garden with the least perimeter is the garden with dimensions 8 x 43
Step-by-step explanation:
area of a rectangle = length x width
given the area, we can determine the dimensions of the rectangle by calculating the factors of 344. the factors are then multiplied to determine the area
factors of a number are numbers that divide the original number evenly. they are numbers that when used to divide another number, we derive only only numbers
Factors of 344 = 1, 2,2,2,43 and 344
Possible dimensions and their areas
1 x 344 = =344 ft²
2 x 172 = 344 ft²
4 x 86 = 344 ft²
8 x 43 = 344 ft²
Perimeter of a rectangle = 2 x (length + width)
i would use the dimensions i calculated to determine all the possible perimeters
2 x ( 1 + 344) = 690 ft
2 x (2 + 172) = 348 ft
2 x (4 + 86) = 180 ft
2 x (8 + 43) = 102 ft
the garden with the least perimeter is the garden with dimensions 8 x 43
A scientist uses 8.5 grams of carbon every 30 minutes during an experiment. If the experiment lasted 2 hours, how many total kilograms of carbon did they use?
Answer:
34
Step-by-step explanation:
What is the result of subtracting a number greater than -3 but less than -2 from a number greater than 1 and less than 6
Answer:
2/2 - 4 = -3
Step-by-step explanation:
I don't know really but, hopefully this helps. Are there any answer choices?
A triangle has angles measuring 18.3° and 102.5°. What is the measure of the third angle?
Answer:
59.2
Step-by-step explanation:
A triangle equals a total of 180
102.5 + 18.3 = 120.5
180 - 120.5
= 59.2
Suppose that 60\%60%60, percent of adults in district A support a new ballot measure, while 45\%45%45, percent of adults in district B support the same measure. Pollsters take an SRS of 200200200 adults from district A and a separate SRS of 100100100 adults from district B to see the difference between the sample proportions (\hat{p}_\text{A}-\hat{p}_\text{B})( p ^ A − p ^ B )left parenthesis, p, with, hat, on top, start subscript, start text, A, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, B, end text, end subscript, right parenthesis. What will be the shape of the sampling distribution of \hat{p}_\text{A}-\hat{p}_\text{B} p ^ A − p ^ B p, with, hat, on top, start subscript, start text, A, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, B, end text, end subscript, and why?
Answer:it’s B (120 succes and 80 failures for khan academy)
Step-by-step explanation: trust me
The shape of the sampling distribution of [tex]\hat{p}_\text{A}-\hat{p}_\text{B}[/tex] is approximately normal because the number of success in district A is 120
How to determine the shape of the distribution?The given parameters are:
Proportion of adults in district A = 60%Proportion of adults in district B = 45%Sample size of A, n = 200Sample size of B, n = 100In the sample size of 200, the number of adults that support a new ballot measure is:
Success = 60% * 200
Success = 120
Those that oppose is
Failure = 200 - 120
Failure = 80
If 45% supports a new ballot measure in district B, then 55% do not support
The difference between those that support and do not support is:
(55% - 45%) * 100 = 10
Hence, the sampling distribution of [tex]\hat{p}_\text{A}-\hat{p}_\text{B}[/tex] is approximately normal
Read more about normal distribution at:
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The temperature currently −4.574°F. A high-pressure front increases the temperature to 8.7°F. Let x represent the number of degrees the temperature increases. How many degrees did the temperature increase?
Answer:
Step-by-step explanation:
An expression is shown -5.75 + 6.5, what is the value of the expression
Answer:
0.75
Step-by-step explanation:
You are just combining like terms since there are no variables:
-5.75 + 6.5 is the same as,
6.5 - 5.75
= 0.75
The price of an item has been reduced by 60%. The original price was $45. What is the price of the item now?
Answer:
$27
Step-by-step explanation:
Andre earns 5200 a month at his new job. In order to track his spending and saving, he created a monthly
budget Andre divided his income into five categories and created the following círcle graph to represent the
budget he created for himself. Use this circle graph to answer the following questions.
Monthly Budget
Other
28%
Rent
30%
Savings
189
Groceries
15%
Utilities
9%
How much more money does Andre budget for Groceries and Utilities than he does for Savings?? Show
your work. Write your answer as a dollar amount.
Answer:
answer is 312.00
Step-by-step explanation:
Trust me I just took the test
Q 18: Melissa uses 150 g of sugar for every 6 eggs. How many eggs should she use with 350 g of
sugar?
Answer:
14 eggs
Step-by-step explanation:
150 grams need 6 eggs
1 gram need 6 ÷ 150 eggs
350 grams need 350×6÷ 150 = 14 eggs
sooo i have a question, the currency in malaysia is the ringgit the exchange rate is apparently $1 for every 4 ringgits . At this rate how many ringgits would you get if you exchanged $5?
Answer:
20 ringgits.
Step-by-step explanation:
Ratio of $1:4 ringgits
5 * 4=20
Which expression is equivalent to (q? – 16)?
M. (q - 4)2
P. (9 + 4)(9-4)
R. (q + 8)(9 - 2)
S. (9-8)(9 + 2)
Answer:
nothing
Step-by-step explanation:
because the given is error
PLEASE HELP !!!!!!!! What is the equation of the directrix for the following parabola: -8(x-5)=(y+1)^2
a. y=-3
b. x=7
c. y=7
d. x=-3
Answer:
x=7
Step-by-step explanation:
The directrix of the equation is x=7
What is directrix of parabola?The directrix of a parabola is a line that is perpendicular to the axis of the parabola. The directrix of the parabola helps in defining the parabola. A parabola represents the locus of a point which is equidistant from a fixed point called the focus and the fixed line called the directrix. The directrix and the focus are equidistant from the vertex of the parabola. Here we define the directrix for the standard equations of a parabola.
The directrix of the parabola y^2 = 4ax, having x-axis as its axis, passes through (-a, 0), and has the equation x + a = 0.The directrix of the parabola y^2 = -4ax, having x-axis, passes through (a, 0), and has the equation x - a = 0.The directrix of the parabola x^2 = 4ay, having y-axis as its axis, passes through (0, -a), and has the equation y + a = 0.The focus of the parabola x^2 = -4ay, having y-axis as its axis, passes through (0, a), and has the equation y - a = 0.Given:
-8(x-5)=(y+1)²
Now, using the definition of directrix
x= 8/4 +5
x= 2+ 5
x= 7
Learn more about directrix here:
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In the cafeteria, a principal asked students what fraction of their plates contained vegetables. The line plot displays the students' responses. How many more plates of vegetables did the students who responded of a plate have than the students who responded of a plate? (look at picture)
Answer:
It should be A 3 1/4
Step-by-step explanation:
Choose all the examples that can be measured using volume.?
the amount of cereal in a box
the amount of milk in a milk carton
the amount of space inside a van
the amount of writing space on a piece of paper
the amount of space a picture takes up on the wall
Answer:
the amount of cereal in a box
the amount of milk in a milk carton
the amount of space inside a van
The function y = -16x2 + 1500 gives a parachute jumper's height y in feet
after "X" seconds for a jump from 1500 feet. How long is free fall if the
parachute opens at 1100 feet?
Answer:
Step-by-step explanation:
so the question is asking about the time from 1500 feet to 1100 feet. How long did they fall, w/o a parachute. aka "freefall" so, at 1500 feet the jumper is really at time zero. so, plug in to the formula
1100 = -16[tex]x^{2}[/tex] +1500
( x represents seconds so i'll change it to t so we know it's time )
1100 = -16[tex]t^{2}[/tex] + 1500
now we can solve for t , to see how long the jumper falls
-400 = - 16[tex]t^{2}[/tex] ( subtracting 1500 from both sides of equation )
25 = [tex]t^{2}[/tex] ( dividing both sides by -16 )
oh.. look at how nice that turns out.. :)
[tex]\sqrt{25}[/tex] = t ( take the square root on both sides )
5 = t
the jumper fell for 5 seconds to get to 1100 feet
please help me ahhh im doing 8th grade math with pythagorean theorem
1)encontre a fraçao geratriz das dizimas periodicas simples a seguir
how to make percent to decimal?
ex. 76% = #/#
Answer:
divied by 100 and remove the "%" sign.
Step-by-step explanation:
1.)example 10% becomes 10/100=0.10
2.) example 67.5% becomes 67.5/100=0.675
the circumference of a circle is about 29.202 inches. the circles area is about ___ square inches.
use 3.14 for pi.
round your answer to the nearest tenth.
Answer:
110
Step-by-step explanation:
really Gregg gift vg6
Select the statement that describes the expression (one fourth x 8 + 3) ÷ 5.
Add three to the quotient of one fourth and 8, then divide by 5
one fourth times the product of 8 and 3, then divide by 5
Add 3 to the product of one fourth and 8, then divide by 5
Add 3 to the sum of one fourth and 8, then divide by 5
Answer: B. One fourth times the product of 8 and 3, then divide by 5.
5 points
If f(x) = 3 sin 2x + c, what is the maximum value
of f(x)?
A) c+5
B) c+2
C) c
D) c +3
A
B
Answer:
D
Step-by-step explanation:
The maximum value of sin is 1. The Ampltiude is 3 so the maximum value of sin is 3 now.
The vertical shift is c so whatever value of c would be add to the maximum value z 3
D is the answer.
Stephany is inviting 3 friends to a party. If each friend will get 7 cookies and each box has 10 cookies, how many boxes does Stephany need to get?
Answer:
3 boxex hope that helps. yea. thats the answer
What is the volume of a square pyramid with a base length of 4 cm and a heighi of 9 cm?
Answer:
V = 48 cm³
Step-by-step explanation:
base = 4 x 4 = 16
V = 1/3(16)(9) = 48 cm³
Seth wants to cover the top of a small table with glass parallelogram tiles. The top of the table measures 18 inches by 14 inches. If each tile has four sides of length 3 inches with a height of 2 inches, about how many tiles will he need?
A. 26
B. 42
C. 63
D. 84
Guys please help i must Pass!!
Answer:
b. 42
Step-by-step explanation:
Answer:
A is correct
Step-by-step explanation:
✔
Tell whether the side lengths 18, 24, and 30 would form a right triangle?*
O Yes
O No
O Not enough information
Answer:
yes 18 24 and 30 does form a right triangle
Pls helps I need help
What is the center and radius of the circle?
(x-1)^2 + y^2= 36
Answer:
Center = ( 1, 0)
Radius = 6 units
Step-by-step explanation:
[tex] {(x - 1)}^{2} + {y}^{2} = 36 \\ \\ {(x - 1)}^{2} + {(y - 0)}^{2} = {6}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = 0 \\ r = 6 \\ \\ Center = (h, \: k) = (1, \: 0) \\ Radius \: = 6 \: units[/tex]
Help me with this thanks
Please help I only got 20 minutes to answer!!!!!!!!!
Answer:
r=c/2π
3/2π
=0.47746482927
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