A cuboid with a volume of 925cm^3 has dimensions.
4cm, (x + 1) cm and (x + 11) cm.
Show clearly that x^2 + 12x - 220 = 0
Solve the equation by factorising, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
Answer:
Step-by-step explanation:
Volume of the cuboid = Length * Width * Height
Given
Length = 4cm
Width = (x+1)cm
Height = (x-11)cm
Volume of the cuboid = 4(x+1)(x+11)
Volume of the cuboid = 4(x^2+11x+x+11)
Volume of the cuboid = 4(x^2+12x+11)
Volume of the cuboid = 4x*2+48x+44
925 = 4x*2+48x+44
4x*2+48x+44-925 = 0
4x*2+48x-881 = 0
Divide through by 4
x^2 + 12x - 220.25 = 0
Factorize using the general formula;
x = -12±√12²-4(-220.25)/2
x = -12±√144+881/2
x = -12±√1025/2
x = -12±32/2
x = 12+32/2
x = 20/2
x = 10
Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm
Dimension is 4cm by 11cm by 21cm
can some one help me out with an explaination i have two more after this
proportional relationships and graphs
and what is y=3x
Answer:
Well there isn't really a question
Step-by-step explanation:
y=3x means anything on the x axis times 3 = the number on the y axis. This is an example of an proportional relation ship and will create a straight line on a graph.
what is vertibrates
It is basically an animal which has a backbone that protects the spinal cord.
Which expression is equivalent to 4^6 ⋅ 4^−8?
A.) 1/4^2
B.) 1/4^14
C.) 4^2
D.) 4^14
(PS. Don't answer this just for the points, please put some effort into this, yes i know im the on seeking others help, but i tried i didn't understand so came here.)
Will mark brainliest! Please help I have no idea!
Answer:
the decimals should line up.
Answer:
press the right arrow 3 times
Step-by-step explanation:
to properly subtract any numbers the value of the digits need to be in line
Madison invested $3,300 in an account paying an interest rate of 6.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 5 years?
Answer:4610
Step-by-step explanation:
$4564 is the amount in account after 5 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Madison invested $3,300 in an account paying an interest rate of 6.7% compounded daily.
We need to assume no deposits or withdrawals are made, then we need to find money in account after 5 years.
Madison invested = $ 3300
Rate of interest = 6.7 %
Time = 5 years
[tex]A=P(1+\frac{r}{100} )^{t}[/tex]
P is the principle amount
t is the time
r is the rate of interest
[tex]A=3300(1+\frac{6.7}{100} )^{5}[/tex]
A=3300(1+0.067)⁵
A=3300(1.067)⁵
A=3300(1.383)
A=4563.9
A=4564
Hence, $4564 is the amount in account after 5 years.
To learn more on Percentage click:
https://brainly.com/question/28269290
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Which relation is not a function?
a) { (1, -5), (3, 1), (-5, 4), (4, -2) }
b) { (1, -5), (-1, 6), (1, 5), (6, -3) }
c) { (2, 7), (3, 7), (4, 7), (5, 8) }
d) { (3, -2), (5, -6), (7, 7), (8, 8) }
Answer:
They can all be functions so either the question is bad or information is missing
sorry, im really stupid, plz help
Answer:
37
Step-by-step explanation:
If you add em all together qwq
I'm stupid too
PLS PLS PLS HELP THIS IS AN ALGEBRA 2 QUESTION
Answer:
look
Step-by-step explanation:
When she simplified her radical she put 5x*2x and 12 squared
what she should ahve done is 5x*4x^2 square 3x
Is this graph a function?
Answer:
This is a function
Step-by-step explanation:
For every x value, there is at most one y value, so it can be expressed as a function.
Which is the graph of f(x)
= 4(1/2)x?
PLEASE HELP ME
Answer:
[tex]4 (\frac{1}{2} )x \\ = 2x[/tex]
hopefully can help
Evaluate -9x-2 when x =-4
Answer:
34
Step-by-step explanation:
So -9x is 36,36-2=34
Answer:
34
Step-by-step explanation:
-9(-4)-2
36-2
34
The cost of dinner at Panda Express is 14.40. The tax rate is 8.5%
Answer:
Tax: 1.23
Total: 15.63
Step-by-step explanation:
14.40 x .085 = 1.224
1.224 + 14.40 = 15.624
Round and you get about 15.63
Answer:
1.2
Step-by-step explanation:
PLEASEEEEE HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Triangle HJK is transformed to similar triangle H’J’K’:
What is the scale factor of dilation?
1/2
1/3
1/4
1/5
Answer:
the scale factor is 1/4 because the big one has four squares on the bottom so it's four times as big
The ratio of cats and dogs is 6:13. If there are a total of 117 dogs, how many cats are there
Answer:
56
Step-by-step explanation:
6 : 13
x : 117
117 /13 = 9
6 * 9 = 56
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
The window of a room is 20m long and 14m wide. If the
carpenter works to put a metallic frame around it which
costs Rs. 120per metre, then how much will the metallic
frame cost?
Answer:
$8160.00
Step-by-step explanation:
First find the perimeter: 40+28=68
So multiply 68 meters by the price per meter: 68*120=8160
Hope this helps!
Step-by-step explanation:
Answer:
Length =20 m
Breadth =14 m
Perimeter =2(l+b)
2(20+14)=2*34=68 m
Given cost per m =120 rs
Then the total cost =68*120=8160 rs
The graph of y = x(x + 2)(x – 4) is shown.
Which statement about the graph is accurate?
An x-intercept of the graph is (2, 0).
The graph has no y-intercepts.
A y-intercept of the graph is (4, 0).
The graph has three x-intercepts.
Answer:
D
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEEEEEEE YOU CAN GET BRAINEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
its red okay? i hop help
Answer:3:1. Yellow
Step-by-step explanation:
Here are the percents of the popular
vote won by each successful candidate
in 15 presidential elections.
49.6, 55.1, 57.4, 49.7, 61.1, 43.4,
60.7, 50.1, 50.7, 58.8, 53.9, 43.2,
49.2, 47.9, 51.2
What is the median?
Ok, you should first order every number in the regular order (1,2,3,4,5,6,7,and so on) or (1.2,1.3,2.4,5.9).
43.2, 43.4, 47.9, 49.2, 49.6, 49.7, 50.1, 50.7, 51.2, 53.9, 55.1, 57.4, 58.8, 60.7, 61.1.
Median means the exact middle and here there are total of 15 different numbers so we know this is going to be easier if this was even. 50.7 is the median because it is in the middle and there are an even number of numbers on each side to it, 7.
Answer: just to make it clear for people
it is 50.7
what is the answer to this?
Answer:
a. 1
Step-by-step explanation:
for the lines to be parallel, 4x+20 and 6x-10 have to be equal, so you can solve by making it 2x+10 to get 5
Answer:
its the first one to solve future questions like this you can replace the x with the answers till they both have the same number
Find the value of x.
Answer: 6
Step-by-step explanation:
1. 3x - 6 = 12
2. add 6 to both sides
3. 3x = 18
4. x=6
I hope this is right
Which equation describes the same line as y-5=-2(x+4)
Answer:
y= -2x-3
Step-by-step explanation:
y-5 = -2x-8
y = -2x-8+5
y = -2x-3
HELPPPP PLEASE!!!!!!
Answer:
y = 20Step-by-step explanation:
line RPN = 180 = 4y - 10 + 90 + y
180 - 90 + 10= 5y
100 = 5y
y = 100/5
y = 20
Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *
1 point
75°, 105°
72°, 108°
60°, 120°
40°, 140° Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *
1 point
75°, 105°
72°, 108°
60°, 120°
40°, 140°
Answer:
75°, 105°
Step-by-step explanation:
Supplementary angles sum to 180°
Sum the parts of the ratio, 5 + 7 = 12 parts
Divide 180° by 12 to find the value of one part of the ratio.
180° ÷ 12 = 15° ← value of 1 part of the ratio, thus
5 parts = 5 × 15° = 75°
7 parts = 7 × 15° = 105°
If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be added to “complete the square”
Oksuru k diyaf ramincok ani kasilm asiyla olusan bir refle kstir.
In a newspaper, it was reported that yearly robberies in Springfield were down 25% to 78 in 2013 from 2012. How many robberies were there in Springfield in 2012?
Hey I need help in math (I’m not good at it lol)
Answer: It's B.
Step-by-step explanation:
Hope it Helps let me know if u want me to explain how i got the answer.
Explain the difference between the slopes of x=1 and y=1, I need answers ASAP!!!!!
Answer:
Step-by-step explanation:
x=1 is a vertical line, that has an undefined slope, while y=1 is a horizontal line that always has a zero slope
Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad topping. Liberty spent $9.95 on the salad. Which equation can be used to find t, the number of toppings that Liberty ordered on her salad
I believe you answer would be $4 + $0.85t =$9.95
Answer:
7
Step-by-step explanation:
c = $0.85t+$4
$9.95 = $0.85t+$4
$9.95-$4 = $0.85t
$5.95 = $0.85t
$5.95/$0.85 = t
7 = t