Answer:
Width = 4 cm
Length = 8 cm
Step-by-step explanation:
Hi there!
Let [tex]l[/tex] be equal to the length of the rectangle.
Let [tex]w[/tex] be equal to the width of the rectangle.
1) Determine equations to find the length and width
We're given that the length is two times the length of the width:
[tex]l=2w[/tex]
We're also given that the area of the rectangle is 32 cm². Recall that the area of a rectangle is [tex]A=lw[/tex]:
[tex]A=lw\\32=lw[/tex]
Now, we have our two equations:
[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]
2) Solve for the width using substitution
[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]
Replace [tex]l[/tex] in the second equation with [tex]2w[/tex] from the first equation:
[tex]32=(2w)w\\32=2w^2[/tex]
Divide both sides by 2 to isolate w²:
[tex]16=w^2[/tex]
Take the square root of both sides to isolate w:
[tex]\pm4=w[/tex]
Because width cannot be negative, w=4. Therefore, the width of the rectangle is 4 cm.
3) Solve for the length
[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]
Now, that we have the width (4 cm), we can solve for the length by plugging it back into one of the equations. Either of the equations work, but we can use the first:
[tex]l=2w\\l=2(4)\\l=8[/tex]
Therefore, the length of the rectangle is 8 cm.
3) Draw the rectangle
We can use what you had before as a foundation. You drew a rectangle with width 4 cm and length 7 cm. To draw the correct rectangle, add another row on top to make it 4 cm by 8 cm.
I hope this helps!
The Hayes family and the Cook family each used their sprinklers last summer. The water output rate for the Hayes family's sprinkler was 30L per hour. The water output rate for the Cook family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1450L. How long was each sprinkler used?
Answer:
30 hours of use by Washington family
35 hours of use by Choi family
Step-by-step explanation:
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 14 cm cube is built from small cubes, each 2 cm on an edge. Compare the edge lengths of the two cubes.
9:1
7:1
8:1
10:1
Answer:
7:1
Step-by-step explanation:
There are two cubes, one with 14 cm and one with 2 cm. 14:2 is equal to 7:1.
How many 1/5 are in 3 1/2?
Answer:
17 1/2
Step-by-step explanation:
3 1/2 / 1/5=17 1/2
Help please I don’t understand
Answer:
4
Step-by-step explanation:
Answer:
-1/3
Step-by-step explanation:
4²-4¹ 2-0. -2/6= -1/3
x²-x¹ = 4-2 =
For the function y = 4x – 2, what is the value of the function when x is equal to -3?
Giving brainliest to the right answer!
Answer:
y = 4 (-3) - 2
y = -12 - 2
y = -14
Step-by-step explanation:
Graph the line that passes through the points (-2,-1) and (-4,5) and determine the equation of the line
Answer:
y = -3x-7Step-by-step explanation:
Find the slope:
Going from (-4,5) to (-2,-1):
Rise = (-1 - 5) = -6
Run = (-2-(-4) = 2
Slope = Rise/Run = (-6/2) = -3
y = mx + b
y = -3x + b
Find b by using either given point. I'll use (-2,-1)
y = -3x + b
-1 = -3(-2) + b
b = -7
See attachment.
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y = -3x-7
If ABC is right-angled at B , AB = 3 cm. , BC = 4 cm. , then the length of the median from B is
I have 2 apples. My sister takes away one. How many do i have left
Answer:
1 apple
Step-by-step explanation:
2-1=1
Have a great day or night wharever you are!
The number of apples you will have left if your sister takes away one is; 1 apple
SubtractionWe are told that you have 2 apples.
Now, if you have 2 it means that anyone taken away from you would be subtracted from the one that you have.
This means that;
Number of apples you have left if your sister takes one is; 2 - 1 = 1 apple.
Read more on subtraction at; https://brainly.com/question/17301989
Write each number as the product of two or three
prime numbers.
a) 49
b) 42
c) 63
d) 18
can i have some help on both of these questions for brainlist !!!!!!!!!!!
Answer:
B and A
Step-by-step explanation:
What I did for these problems is plug in the numbers listed for the x-value. For example, in your calculator you’d put; (1/2)^3 and that’d get you 1/8. Then, try it for 8^(2 - 3) which is also 1/8. So, (1/2)^3 = 8^(2 - 3).
The same process for the second problem. 16^(2(7/3) -3) = 4^((7/3) + 1). This should give you 101.59…
I hope this helps :)!
Algebra 2 | Drag the tiles to the correct boxes to complete the pair match each solution with its solution set
Answer:
256= 4 power 4 and 125 = 5 power 3
a film start at 17:15 and finish at 1 hour and 45 minutes later. what time did it finish?
Calculate if possible
Answer:
25/4
Step-by-step explanation:
7 can also be 7/1. Now you have 7/1-3/4. Multiply the denomiator to make them the same so you can subtract. 1*4=4 and 7*4= 28. Now you have 28/4-3/4. Subtract the numerators. 28-3=25. Your answer is 25/4. (6.25 if you need it in decimal form)
My friend needs your help
Answer:
Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you
Step-by-step explanation:
Have a great rest of your day
#Nova
NEED HELP ASAP BRAINLIST 100 PNTS calculate the portion for walking in degrees
Refer to the table.
72 degree
It is given that :
Soccer: 5
Jogging: 20
Walking: 10
Skiing: 5
Football: 10
50 hours
The total hour is given as 50 hours. Out of which walking is 10 hours.
Therefore, in degree the portion of walking will be : 74 degrees
hope this helps :)
Here’s the zoomed graph!
Answer:
10x + 15
Step-by-step explanation:
Answer:
I dont know what the question is asking you but im assuming it was asking you what is the equation:
Slope = 10.
Equation: y=10x+15
Y-intercept: 15
---------------------
Hope this helps!
Step by step? Just ask.
Doubt? --> comment section.
Happy Holidays! (✿◡‿◡)
A student says that it 5x^2 =20,then x must be
equal to 2. Do you agree or disagree with the
student? Justity your answer.
Hope you could get an idea from it.
Doubt clarification - use comment section.
Mike and Andy are each reading the same book. Mike read 2/4 of the book on Tuesday and 1/3 of the book on Wednesday. Andy read 1/2of the book on Tuesday and 1/5of the book on Wednesday.
Andy says that altogether he read more of the book on Tuesday and Wednesday than Mike.
Is Andy correct?
Use the figure to find the measure of
Answer:
m∠URV = 124°
Step-by-step explanation:
hope this helps
Answer:
what is the work to figure out the anwser?
Step-by-step explanation:
solve the following equation: 0.4(g-2)+1.2=-(g-1)+2.9
Answer:
g = 2.5
Step-by-step explanation:
0.4(g - 2) + 1.2 = - (g - 1) + 2.9 ← distribute parenthesis on both sides
0.4g - 0.8 + 1.2 = - g + 1 + 2.9 ( simplify both sides )
0.4g + 0.4 = - g + 3.9 ( add g to both sides )
1.4g + 0.4 = 3.9 ( subtract 0.4 from both sides )
1.4g = 3.5 ( divide both sides by 1.4 )
g = 2.5
Help plzzz!! Find the slope through these pairs of points
(5,-15),(12,2)
(-18,-20),(6,-5)
(-18,-19),(-17,-19)
(-1,3),(-11,-17)
a. Examine the zeros of the graph, and write a function that models this situation.
b. After 10 minutes, the elevation model changes and is given by the function Use the Edmentum Graphing Tool to graph this function. Capture a screenshot of your graph, and paste it in the space provided.
Answer:
See below
Step-by-step explanation:
A) We have zeroes at (2,0) (3,0) (5,0) (9,0) and (10,0). Therefore, we can write the function as (x-2)(x-3)(x-5)(x-9)(x-10) = x⁵-29x⁴+311x³-1519x²+3360x-2700
B) View attached screenshot for reference
Will give brainliest!
Answer:
- 1/4
Step-by-step explanation:
Where you see X, substitute with 1/3
Solve the power/exponent first:
6(1/3) = 2
That is ; - 4(1/4)^2
Solve the parenthesis:
(1/4)^2 = 1/16
-4(1/16)
= - 1/4
P^2 x 2p^4 x q x q^2
(m^2 x m^4) ÷ m^5 x m^2
Answer:
[tex]\huge\boxed{2p^6q^3}\\\boxed{m^3}[/tex]
Step-by-step explanation:
[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\p^2\cdot2p^4\cdot q\cdot q^2=(p^2\cdot2p^4)\cdot (q\cdot q^2)=2p^{2+4}q^{1+2}=2p^6q^3[/tex]
[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\a^n:a^m=a^{n-m}[/tex]
[tex](m^2\cdot m^4):m^5\cdot m^2=m^{2+4}:m^5\cdot m^2=m^{6-5}\cdot m^2=m^{1+2}=m^3[/tex]
Look at the equation 14n=98 work out the value of 14(n+1)
Answer:
The value of 14(n+1) is 112.
Step-by-step explanation:
14n=98
n=98/14
n=7
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14(n+1)=14(7+1)=14(8)=112
4x+y=0 2x-y=-12 how many solutions does this problem have? No solution, one solution, or infinite solutions
What is the slope of the line?
Answer:
looks like 3/4
Step-by-step explanation:
Please look at the pictures below for the question and multiple choice answers, thank you.
What is the first step of the second step to prove that Sn arrow 1+2+3+..+n=n(n+1)/2?
Answer:
I'm pretty sure it's, "verify that Sn is valid for n=1". I think... lol.
Step-by-step explanation:
HELP!!!
42 is the product of 6 and y
Answer:
7
Step-by-step explanation:
Divide the 42 by 6 to get your answer. 42/6=7
This also works in reverse. 6*7=42
The answer: 42 is the product of 6 and y=7
Ok done. Thank to me :>