18
The length of a rectangle is twice as long as the width of the rectangle.
The area of the rectangle is 32 cm.
Draw the rectangle on the centimetre grid.
.
4
54
B2
%
I did it wrong can someone help me
Answers
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!
Related Questions
HELP PLEASE THIS IS TIMED! Write an equation of the line that passes through a pair of points:
(negative 3, negative 1), (2, 2)
a.
y = 3/5x – 5/4
c.
y = 3/5x – 4/5
b.
y = 3/5x + 4/5
d.
y = -3/5x+4/5
Please select the best answer from the choices provided
A
B
C
D
Answers
Step-by-step explanation:
solution
Coordinate (-3,-1)(2,2)
x¹=-3 x²=2, y¹=-1 y²=2
M=(y²-y¹)/(x²-x¹)
M=(2+1)/(2+3) => 3/5
Equation of line
M=(y-y¹)/(x-x¹)
3/5 = (y+1)/(x+3)
cross multiply
3(x+3)=5(y+1)
3x+9=5y+5
5y-3x=4
5y=4+3x
y=4/5 + 3x/5
(C)
40 points please help im confused
What is the volume of the prism?
103.8 cubic inches
114.9 cubic inches
140.6 cubic inches
110.5 cubic inches
Answers
Answer:
V=L x W x H
(4.7)(5.2)(4.7)(5)
=574.34 inch
Answer:
the answer is 140.6
Step-by-step explanation:
got it right on quiz
5. PLEASE HELP ME
Write the equation in standard form. Then factor the left side of the equation.
2x2 + 7x = 15
A. (2x – 3)(x + 5) = 0
B. (2x + 3)(x + 5) = 0
C. (2x + 5)(x – 3) = 0
D. (2x – 5)(x + 3) = 0
Answers
Answer:
7x=11
Step-by-step explanation:
do it
Set up the ratio for cos(A)
Answers
Answer:
21/35
Step-by-step explanation:
Recall that Cos = Adjacent/Hypotenuse
We want to find Cos A
The adjacent of A is 21 and the hypotenuse is 35
So cos A would equal 21/35
Intuitively, does it make sense that all circles are similar? Why or why not?
Answers
Answer with explanation:
Yes, each point on a circle is a fixed distance from the center of the circle. This is called the radius of the circle. By definition, all radii of a circle are equal.
Similar polygons have corresponding sides in similar proportion. Regardless of how large a circle is, each point on the circle will still be a fixed distance away from center of the circle. Therefore, the radii are in a constant proportional and all circles are similar.
Solve the compound inequality. Graph your solution. 2x – 2 < –12 or 2x + 3 > 7
Answers
Answer:
09
Step-by-step explanation:
Find the equations of line in y = mx + b form...
a) Passes through the points (7, 9) and (2, -2)
Answers
Answer:
y = 11/5x - 32/5
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - 9 / 2 - 7
-11 / -5
= 11/5
y = 11/5x + b
-2 = 11/5(2) + b
-2 = 22/5 + b
-32/5 = b
Determining the Domain and Range from a Graph
Determine the domain and range of the given function.
The domain is
ty
4
The range is
2
-4
-2
4
Into
Answers
Answer:
Domain is all real numbers, and range is all numbers greater than or equal to -2. If thee was anything you didn't understand let me know.
Step-by-step explanation:
The domain is what x values work, or it may be better to say the horizontal axis. is there any number you cannot use? if you cannot tell, this is a parabola, like x^2. Is there any number you cannot plug into x^2. The answer is no, the domain for all parabolic functions is all real numbers.
The range you really want to look at visually here. Range is y values you can get, or values on the vertical axis. I would also compare it to x^2 again. You should know you can make it as high as you want, here is the same. but at -2, there is no point below that. so the range is -2 and up
The other options are just specific numbers. you can disprove those by choosing a number not on their lists. For the domain literally any other number. For range any number not on the list greater than -2
please help me i'm being timed
Answers
Answer:
B. A linear, partial variation
Step-by-step explanation:
We know that speed = distance / time. From the table we have a linear function, and it's indirect, or partial.
If the mortgage interest rates increase, this would be an example of changing your external environment.
Answers
Answer:
Economic conditions
Step-by-step explanation:
If the mortgage interest rates increase, this would be an example of changing Economic conditions in a company's your external environment
Mortgage is the legal agreement/arrangement between a financial institution and a debtor wherein the Financial institution lends funds to the debtor at an interest rate, and also with the title of the property owned by the debtor.
once the debtor repays the mortgage he retains the full ownership of his property.
A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost F(m) is a function of the number of miles M that the car is driven.
Plan A: f(m) = 0.12 + 75
Plan B: f(m) = 0.35m
I. In complete sentences, translate each function into a verbal model describing the total cost of the rental in terms of the number of miles that the car is driven.
II. For each function, determine how the rate of change will affect the total cost of a car rental.
III. For a car rental that will include a maximum of 250 miles for the duration of the rental, which plan is the most cost effective?
Answers
Answer:
Plan B
Step-by-step explanation:
Simplify the Following
4×7-63÷9+20
Answers
Answer:
41
Step-by-step explanation:
pay attention to the order of operation
4*7 - 63/ 9 +20, first multiplication and division from left to right
28 - 7 + 20 , second addition and subtraction from left to right
21 +20
41
Answer:
Step-by-step explanation:
Use PEDMAS
First perform division, then multiplication and then addition & subtraction.
4 * 7 - 63÷9 + 20 = 4*7 - 7 + 20 {Division}
= 28 - 7 + 20 {Multiplication}
= 41
translate into an algebraic expression, find the number if 10% of it is m
Answers
Answer:
m/0.1
Step-by-step explanation:
--
we want to find it
-----
10%*x=m
OF means multiply
IT is any variable
IS is equal
10%*x=m
0.1*x=m
x=m/0.1 IN THE ANSWER DO NOT INCLUDE x
A group of random people were polled about whether they prefer to communicate using text messages or by phone calls. The results are shown in the conditional relative frequency table by row.
A 4-column table with 3 rows. The first column has no label with entries male, female, total. The second column is labeled text with entries 0.57, 0.46, 0.50. The third column is labeled call with entries 0.43, 0.54, 0.50. The fourth column is labeled total with entries 1.00, 1.00, 1.00.
What is the probability of someone preferring phone calls, given the person is a female?
43%
46%
54%
57%
Answers
Answer:
C. 54%
Step-by-step explanation:
Answer:
C. 54%
Step-by-step explanation:
Mr. Pearce wanted to write a check for $85. He noticed that he had only $80 in his checking account. What integer shows what Mr. Pearce's checking account balance would have been if he had written the check?
Answers
Answer:
-5 since he only had 80 in his checking
Which line is parallel to the line given below?
x - 3y = 24
a. y = -x + 3
b. y = -3x - 1
c. y = 3x + 8
d. y=-x-4
Answers
Answer:
x - 3y = 24
B. y = -3x - 1
Step-by-step explanation:
Hope it helped.
° ° °
A seat’s position on a Ferris wheel can be modelled by the function y = 18 cos 2.8(x + 1.2) + 21, where y represents the height in feet and x represents the time in minutes. Determine the diameter of the Ferris wheel.
Answers
Step-by-step explanation:
A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.
h=-16t^2+16t+320
given that the line a is parallel to line b and that line c is parallel to line d, if m∠13 = (12x-22)° and m∠14 = (9x-29)°, find m∠2
Answers
Answer:
70°
Step-by-step explanation:
m<13 + m<14 = 180
So, 12x-22+9x-29=180
or, 21x=180+29+22
or, 21x=231
or, x=11
now m<2=<m14=9x-29
or, m<2=9×11-29=70°
Answered by GAUTHMATH
5. For an acute angle 0, cos(0) = sin(33) is true. What is the value of 0?
Answers
Answer:
Value is 57
Step-by-step explanation:
sin 33
= sin (90-57)
= cos 57
Answered by GAUTHMATH
How do you express a gain of 4 yards in a football game as a rational number?
OA 4.5 yards
OB. 4 yards
OC. yards
OD. - yards
OE-4 yards
PLEASE HELP
Answers
Answer:
B- 4 yards
4 is a rational number along with the number of yards gained.
A savings account for a car is set up with an initial balance of $2500, and $100 is added every month
(no other transactions occur on the account).
1. Write the expression:
2. Write the equation equal to(=) $3600 car goal:
3. How many months will it take?
Answers
Answer:
11
Step-by-step explanation:
3600 = 100x+2500
1100 = 100x
x = 11
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answers
Answer:
21. C, 24.B
Step-by-step explanation:
Since the y-value for x = 0 is not zero, the function cannot have sine in it because sin of 0 is always 0. Therefore, the function will have cos in it. That leaves only B and C left. Since cos(0) is always 1, and the value of y when x = 0 is 0.5, the function will have 1/2 multiplied by a cos function. The only answer option that has that is C.
Now, for the next problem, we know the values of all three sides, and we need to find one angle. We can use the law of cosines for this and plug the values into the equation:
[tex]55^2=40^2+24^2-2(40)(24)\cos(C)[/tex]
We can subtract 40 squared plus 24 squared from both sides to get
[tex]849=-2(40)(24)\cos(C)[/tex]
Negative two times 40 times 24 equals -1920. Dividing -1920 from both sides gets us
[tex]\frac{849}{-1920}=\cos(C)[/tex]
Plugging this equation into a calculator and solving for C, we get the answer as approximately
C = 116.24353.
This rounds to 116.2
Problems 5-9, Find the value of the variable to the nearest tenth of each triangle.
Answers
Answer:
35
Step-by-step explanation:
"The mean age of all students at the University has a 95% chance of falling between 21.3 and 24.6 years of age." This statement represents:
Answers
Answer:
Confidence interval of the population mean
Step-by-step explanation:
The statement above is a report of the estimated confidence interval value which is used to obtain the estimate if the population mean from a given sample.
The statement above gives the confidence interval at α = 95%
Draw to full scale (a) the plan (b) the front elevation as viewed from X and (c) the side elevation
as viewed from Y of the composite shape.
Answers
Answer:
Nice job dude
Step-by-step explanation:
Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.
Cost of Binders
On a coordinate plane, a graph titled Cost of Binders has number of binders on the x-axis and total cost in dollars on the y-axis. The line goes through points (0, 0) and (15, 22.5).
If all of the binders cost the same amount, which statement is true?
It will cost $12 for 18 binders.
It will cost $20 for 30 binders.
It will cost $42 for 28 binders.
It will cost $48 for 48 binders.
Answers
Answer:
It will cost $42 for 28 binders
Step-by-step explanation:
We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.
To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.
Applying this, we get
(15 binders)/15 = (22.5 dollars)/15
1 binder = 1.5 dollars
For 18 binders, this would cost 1.5 * 18 = 27 dollars. We know this because we add 1.5 dollars for each binder.
For 30 binders, this would cost 30*15=45 dollars
For 28 binders, this would cost 1.5 * 28 = 42 dollars
For 48 binders, this would cost 1.5*48 = 72 dollars
The only one that matches up is 28 binders for 42 dollars
Answer:
$42 for 28 binders.
Step-by-step explanation:
B
Given the quadratic equation (x + p)²=49,where p is a constant,find the values of p if one of the roots of the equation is 4.
Pls help me,will mark as the brainliest.
Answers
Answer:
-11, 3
Step-by-step explanation:
We know one of the roots are
[tex](x+ 4) {}^{2} = 49[/tex]
[tex]x + 4 = - 7[/tex]
[tex]x + 4 = 7[/tex]
[tex]x = - 11[/tex]
or
[tex]x = 3[/tex]
How many times is the value of the digit 5 in 65.1748 lesser than the value of
the digit 5 in 3526.987?
100
1/100
1000
10
Answers
Answer:
3 times
Step-by-step explanation:
The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.
Triangle UVW is similar to triangle XYZ. Find the measure of side ZX. Figures are not
drawn to scale.
w
N
8
4
19.8
U
y
х
Answer:
Submit Answer
Answers
Answer:
9.9
Step-by-step explanation:
Let the side of ZX = x
4/8 = x/19.8
Cross-multiply
8x = 79.2
Divide both sides by the coefficient
8x/8 = 79.2/8
x = 9.9
find the exact value of the indicated trigonometric functions for the acute angle a:
Given: cot a= 3 3/7, find: cos a and tan a?
Answers
Answer:
cot a = 3 3/7
or, cot a = 24/7
or, tan a = 7/24
So,
cos a = 24/25
tan a = 7/24
Answered by GAUTHMATH
