The width of a rectangle is 2 inches smaller than its length. The perimeter is 24 inches. Find the length and width of the rectangle.
Answer:
7 inches and 5 inches
Step-by-step explanation:
The length the length and width of the rectangle be l and b.
Accodrding to question,
Width, b = l-2
Perimeter, P = 24 inches
We know that,
The perimeter of a rectangle is given by :
P = 2(l+b)
24 = 2(l+l-2)
12 = 2l-2
14=2l
l = 7 inches
Width, b = 7-2 = 5 inches
Hence, the length and width of the rectangle are 7 inches and 5 inches respectively.
Does anyone know the answer to this? If you do please answer!
Answer:
The Y axes
Step-by-step explanation:
Please help on this question
9514 1404 393
Answer:
12x +12y = 7
Step-by-step explanation:
The 2-point form of the equation for a line is useful.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (1/3 -1/4)/(1/4 -1/3)(x -1/3) +1/4
y = (1/12)/(-1/12)(x -1/3) +1/4)
y = -x +1/3 +1/4
Add x and multiply by 12.
x +y = 1/3 +1/4
12x +12y = 4 +3
12x +12y = 7
A spherical balloon is inflating with helium at a rate of 64π ft/min. How fast is the balloon's radius increasing at the instant the radius is 2 ft? How fast is the surface area increasing?
The balloon's radius is increasing at a rate of...
Answer:
let r ,v be the radius and volume of sphere.
dv/dt=64πft³/min
r=2ft
Dr/dt=?
Step-by-step explanation:
we have
volume of sphere=4/3πr²
v=4/3πr²
differentiating both side with respect to t we get
dv/dt=4πdr²/dr×dr/dt=4π×2r×dr/dt=8/3×πr×dr/dt
substituting the given value we get
dv/dt=8/3×πr×dr/DT
64π×3/(8π×2)=dr/dt
Dr/dt=12ft/min
The balloon's radius is increasing at a rate of12 ft/min
The balloon's radius increasing at the instant the radius is 2 ft will be 10106.47 ft³ per minute.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
A spherical balloon is inflating with helium at a rate of 64π ft/min.
dr/dt = 64π ft/min
Then the balloon's radius increasing at the instant the radius is 2 ft will be
V = (4/3)πr³
Differentiate with respect to time. Then we have
[tex]\rm V' = \dfrac{dV}{dt} \\\\ V' = \dfrac{4}{3}\cdot \pi 3r^2 \cdot \dfrac{dr}{dt}[/tex]
Simplify the equation, then we have
V' = 4πr² × 64π
V' = 4π × (2)² × 64π
V' = 10106.47 ft³ per minute
The balloon's radius increasing at the instant the radius is 2 ft will be 10106.47 ft³ per minute.
More about the differentiation link is given below.
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What is the distance in units,from point j to point k
Answer: 15.
Step-by-step explanation: You have to use the distance formula which is [tex]\sqrt{(x\\_{2} -x_{1})^{2} + (y_{2} - y_{1} )^{2}[/tex]. [tex]x_{1}[/tex] means the x in the first point, so on and so forth. You just plug in and don't forget to take the square root of the number you get!
Please tell me if its right. Thanks!
what is the value of y?
For the given triangle the measure of the angle y is 65°.
Hence the correct option is C.
The angles that are created outside of a triangle are its external angles.
In other terms, the angle created between one of a triangle's sides and its neighboring extended side is the triangle's exterior angle.
And the exterior angle of a triangle is the sum of the interior angles of opposite sides.
The given angles are:
Exterior angle = 130°
Interior angles are y° and y°
Therefore,
Exterior angle = y° + y°
130° = y° + y°
2y° = 130
Dividing both sides by 2 we get,
y° = 65°
Hence,
The measure of the angle y is 65°.
To learn more about the triangle visit;
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Find the volume of each cylinder. (use nr = 3.14)
Answer:
54286.72cm
Step-by-step explanation:
you divide 48 by 2 because your radius is half of your diameter which equals 24 and from there you plug in the information into you formula
It says solve for the variable can you explain
Answer:b=39 degrees
Step-by-step explanation:
We know the whole angle is a 90 degree angle because of the right angle sign. So all we have to do is subtract 51 from 90, which is 39 degrees
A person who is standing on a ledge throws a rock into the air. The rock reaches a maximum height of 676 feet
above the ground after 1.5 seconds.
If the rock hits the ground below the ledge 8 seconds after it is thrown, which quadratic function can be used to find
the height of the rock above the ground t seconds after it is thrown?
A. H(t) = -9/16(t-8)^2+676
B. H(t)= -9/16(t+8)^2+676
C. H(t)= -16(t-1.5)^2+676
D. H(t)= -16(t+1.5)^2+676
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Work out the value of R.
Give your answer correct to 1 decimal place.
Answer:
2.4%
Step-by-step explanation:
The value of R is, 2.4%
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
And, He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Here, We know that;
⇒ Compound interest formula = Capital × (1 + r%) ⁿ
Where, n is time in years.
So, We can formulate;
⇒ £2950 × (1 + 0.019)⁴
⇒ £3180.67
And, For calculate R;
⇒ £3180.67 × (1 + R%)⁵ = £3257
⇒ R = 2.4%
Learn more about the simple interest visit;
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help me fast please
lskrwe
Answer: c = 1.59 * a
Step-by-step explanation:
You got the answer correct.
Answer:
You are correct, it is c = 1.59 * a
Step-by-step explanation:
(7th grade math question)
In a week Dave will spend 150 minutes on cardio exercise and 75 minutes on weights. On Monday Dave spent 30 minutes on cardio and 15 minutes on weights. What percentage of his total exercise time for a week did Dave spend exercising on Monday?
A) 20%
B) 25%
C) 10%
D) 50%
Please answer soon
He spent 20% of his exercise time for the week on Monday!
How I got this is by finding the total amount of time spent exercising in the week and the total amount of exercise on Monday. I found that one fifth (1/5) of his exercise time was spent on Monday, or in percentage form, 20%!
Hope this helps, if not, comment below please!!!
:L
Select all of the equations that have x = 7 as a solution.
x 3= 28
8.x = 56
3+x= 12
x +4= 11.
Pls hurry
Answer:
B
D
Step-by-step explanation:
1. Theresa and Cary are saving for a printer. Theresa has $10 in the bank and will save $20
month. Cary has $25 in the bank and will save $15 each month.
A) How much does Theresa have at month #O?
B) How much Does Cary have at month #0?
C) Write an equation to represent Theresa's saving and an equation to represent Cary's
savings.
D) Graph both Theresa's and Cary's equations on the coordinate plan below.
Introduction to Solving Systems of Equations Theresa and Cary are saving for a printer. Theresa has $10 in the bank and will save $20 each month. Cary has $25 in the bank and will save $15 each month. 1. How much does Theresa have at month #0710 2. How much does Cary have at month #obA 3. Fill in the table for several months. Then graph the data. Use a different color for each girl's table values and graph. Label and scale the axes appropriately Theresa Ca Total Total Month # | Month # | savings in $ (x) savings in $ 0 0 2 2 5 6 6 S 7 4. Write an equation that represents Theresa's savings. yoxtl 5. Write is an equation that represents Cary's savings. tS Which girl is saving at a faster rate? Justify your answer by referring to the 6. table, the graphs, and the equations. 7. At which months does Theresa have more money? 8. At which months does Cary have more money? 9. At which month do they have the same amount of money? What do you notice about the graphs at this month? Introduction to Solving Systems of Equations con... Two friends, Malcolm and Zeke, are going to the park that is near their school. They leave at the same time from different locations. Malcolm is 30 meters from the school on his way to the park, and he is walking at the rate of 1 meter per second. Zeke is at school and will jog to the park at a rate of 4 meters
4x - 2 (x + 1) = 3x + 10
Answer:
The correct answer is x = -12.
♡ The Question ♡
4x - 2 (x + 1) = 3x + 10
* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
x = -12
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
4x - 2 (x + 1) = 3x + 10
2x - 2 = 3x + 10
2x - 2 + 2 = 3x + 10 + 2
2x - 3x = 3x + 12 - 3x
-x = 12
-x/-1 = 12/-1
x = -12
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No tips provided!
A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What percentage of their total budget did they spend on props?
Answer:
42
Step-by-step explanation:
trust me i had the same answer and it was right
Xxx yyy -12−12minus, 12 141414 -2−2minus, 2 212121 888 282828 What is the xxx-intercept of the line?
Answer:
-12Step-by-step explanation:
Let the equation of the line be x = y - 12
The x intercept occurs at y = 0
Substitute y = 0 into the equation
x = 0 -12
x = -12
Hence the x intercept of the line is -12
Note that the equation was assumed. The same calculation can be employed for any equation given
Answer:
(-32,0) if ur looking for the coordinates:)
Step-by-step explanation:
Asap I say I say ASAP
Answer:
its easy
Step-by-step explanation:
asap i say i say asap say pls next time
Answer:
tuff question
Step-by-step explanation:
I NEED HELP
Use the compound interest formula A=P(1+rn)nt.
If $10,000 is invested at 2 percent semi-annually for 5 years, what is the amount at the end of the term?
$11,052
$11,051
$11,049
$11,046
Answer:
A
Step-by-step explanation:
Answer:
D: 11,046
Step-by-step explanation: i took the quiz
Jackie's Diner sold 15 milkshakes last week. 12 of the milkshakes had whipped cream on top. What percentage of the milkshakes had whipped cream?
Answer:
80%
Step-by-step explanation:
it is just trust me i got it wrong on ixl because i followed an dummy that did it wrong.
The heights of 6 shrubs are 3. 4. 2.
8. 4. and 2 feet. Which value
represents an outlier?
A: 2. B:3. C:4. D:8
Answer:
I think its C.4
Step-by-step explanation:
In this expression what is the coefficient?
5x + 23?
Answer please
Solve the formula for t.
d= rt
A tree measured 12 1/2
feet tall. Over the next 5 1/2
years it grew to be 51 feet tall.
During the 5 1/2
years, what was the average yearly growth rate of the tree?
Answer:4.08 ft a year or 1 and 5/8 feet a year (approx)
Step-by-step explanation:
It's 12.5 feet the first year
51 feet 5 years later
If you do the math and divide 51 by 12.5, you get 4.08 which is around 1 and 5/8 ft
12.5x4.08 is 51 feet.
So the tree grows approximately 1 and 5/8 feet a year
could someone please help and fast?
Answer:
x=192
Step-by-step explanation:
48(2)
180-96=84
84x2=168
360-168=192
x=192
Product mentally 4 times 5 1/8
I will give brainliest!!
Find the surface area for the given prism.
Height: 8 Inches
Length: 10 Inches
Width: 14 Inches
564 in ^2
664 in ^2
1,120 in ^2
1,080 in ^2
Find the lateral area for the given prism.
Height: 26 CM
Width: 6 CM
Length: 14 CM
1,092 cm ^2
998 cm ^2
1,272 cm ^2
870 cm ^2
Answer:
SA: 664 in²
LA: it’s supposed to be 1040cm???
Step-by-step explanation:
SA: find the area of all sides of the prism first (I suppose it’s rectangular?)
80+80+112+112+140+140 = 664
LA: the lateral area formula is (perimeter of base)*height...
perimeter of base = (6+6+14+14) = 40
40 * 26 = 1040
I may be wrong on the second one since I don’t know what the prism’s shape is... Hope it helps though ;)
Answer:
1,092
Step-by-step explanation:
The expressions given represent the measures of the acute angles of a right triangle Find the measure of each acute angle.
Answer:
30, 60
Step-by-step explanation:
The sum of a triangles angles should be 180.
Subtract 90 because it's a right triangle.
180 - 90 = 90
Now we know the sum of the other angles should be 90.
x + 2x = 90
Solve for x.
3x = 90
x = 30
Now you substitute 30 for x.
(30), 2(30)
30, 60
what is the cube root of 25
Answer:
15625
Your welcome. Have a great day :D
Answer:
2.9
Step-by-step explanation:
and yw i saw that u put thx in the comments
Sam runs a lemonade stand. One day he collected $6.55 in nickels and dimes. The number of nickels was 6 more than half the number of dimes. Find out how many dimes Sam collected.
Answer:
Total number of dimes collected = 50
Step-by-step explanation:
Let the number of dimes collected = d
And the number of nickels collected = n
On day collection in nickels and dimes = $6.55
Since, 1 nickel = $0.05
Therefore, 'n' nickels = 0.05n
And 1 dimes = $0.10
Value of 'd' dimes = $0.10d
Total value of 'n' nickels and 'd' dimes = $(0.05n + 0.10d)
So the equation for the total value will be,
0.05n + 0.10d = 6.55
5n + 10d = 655 --------(1)
Number of nickels was 6 more than half the number of dimes.
n = [tex]\frac{d}{2}[/tex] + 6 ------(2)
By substituting the value 'n' from equation (2) to equation (1)
5([tex]\frac{d}{2}[/tex] + 6) + 10d = 655
[tex]\frac{5d}{2}[/tex] + 30 + 10d = 655
[tex]\frac{25d}{2}[/tex] = 655 - 30
25d = 625 × 2
d = [tex]\frac{1250}{25}[/tex]
d = 50
Therefore, total number of dimes collected = 50