A cuboid with a volume of 924 cm' has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Show clearly that x2 + 12x – 220 = 0
Solve the equation by factorisation, 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.

Answers

Answer 1

Answer:

4cm, 11cm, 21cm

Step-by-step explanation:

4(x + 1)(x + 11)

4(x ^ 2 + 12x + 44)

x ^ 2 + 12x + 11 = 231

x ^ 2 + 12x + 11 - 231 = 0

x ^ 2 + 12x - 220 = 0

(x - 10)(x + 22) = 0

x = 10 and x = - 22

4cm , 11cm , 21cm

Hope it helps you xx

Answer 2

Answer:

Dimensions = 4cm, 11cm and 21 cm.

Step-by-step explanation:

x2 + 12x - 220 = 0

x2 + 22x - 10x - 220

= x(x+22) -10(x+22)

=(x+22)(x-10)

x + 22= 0

-22       -22

x = -22 (x cant be negative so this is wrong)

x-10 = 0

+10      +10

x = 10 (positive so its correct)

4 , (10+1), (10+11)

= 4, 11, 21 cm.


Related Questions

Solve for the area of the smaller
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Round to the nearest TENTH.

Answers

31 I think I don’t really remember cause I’m not working on area anymore

Greatest comment factor of 15^2 & 25c

Answers

Answer:

25

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF),

25

The expression x^2- x + 8.75 factors as (x + 2.5)(x - a) for some positive value "a". What is a?
step by step, please.

Answers

Answer:

3.5

Step-by-step explanation:

Write out quadratic

[tex] {x}^{2} - x + 8.75[/tex]

We are given that x+2.5 is a factor.

So our roots look like

[tex](x + 2.5)(x - a)[/tex]

Let apply the foil method to find some missing parts.

[tex]x \times x = {x}^{2} [/tex]

[tex]x \times - a = - ax[/tex]

[tex]2.5 \times x = 2.5[/tex]

[tex]2.5 \times - a = - 2.5a[/tex]

We know that the outer terms must multiply to 8.75. We also know that the middle terms must add up to -1.

[tex] - 2.5a = 8.75[/tex]

[tex] 2.5x - ax = -1[/tex]

The only number that satisfy this equation is

[tex] - 3.5[/tex]

Since it already negative, it is

[tex]3.5[/tex]

Find the lateral and surface area for the pyramid with a regular base. Where necessary, round to the nearest tenth.

Answers

Answer:

Lateral area -288. Surface area-96

Step-by-step explanation: teacher told me

please answer it's easy ​

Answers

Answer:

did not see that coming

Step-by-step explanation:

Got rickrolled

I just got Rick rolled

A coffee shop recently sold 10 drinks, including 4 mochas. What is the experimental
probability that the next drink sold will be a mocha?
Simplify your answer and write it as a fraction or whole number.
P(mocha) =
Submit
Work it out
Not feeling ready yet? These can help:

Answers

Answer:

2/5

Step-by-step explanation:

IXl answer

The experimental probability that the next drink sold will be a mocha is 2/5.

Number of mochas =4

Total drinks =10

What is probability?

Probability is the quantification of possibilities.

P(event) = Favorable outcomes/ Total outcomes

P(mocha) = 4/10

P(mocha) =2/5 =0.4 or 40%

Thus, the experimental probability that the next drink sold will be a mocha is 2/5.

To get more about probability visit:

https://brainly.com/question/24756209

how do you write 16% as a decimal​

Answers

Answer:

0.16

Step-by-step explanation:

rewrite 16 percent in the terms of per 100 or over 100.

16% = 16 over 100 or,

16% = 16/100

16 over 100 is the same as 16 divided by 100. So completeing the division we get:

16 ÷ 100 = 0.16

Thus, the answer is 0.16

hope this helps you :)

Will give BRAINLIEST if you help me out

Answers

The x coordinate P is on is -1.5

If a trader gained 15% by selling an
article for A1560.00, what is the cost
price of the article?​

Answers

Answer$67

Step-by-step explanation:

Answer:

A or B

Step-by-step explanation:

Please please help. It’s due at 11:59. I don’t understand

Answers

Answer:

Step-by-step explanation:

FYI,

C ∪ D = ( - ∞ , 2 ) ∪ [ 6 , ∞ )

C ∩ D = ∅


Terrell ran around a track that was 100 yards long.
How many feet did he run?

Answers

Answer:

300ft

Step-by-step explanation:

Answer:

300 ft

Step-by-step explanation:

1 yd = 3 ft

100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft

Answer: 300 ft

Which value of x would make TV IOS?
R
03
08
x
x + 4
10
X + 10
11
T
X-3
V
//
х

Answers

Answer:

11

Step-by-step explanation:

the value of x is 11 to make tv IOS

The measure value of y is 10.

Option C is correct.

What is Basic Proportionality Theorem?

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

The fundamental proportionality theorem can be used to calculate the lengths of two sides of a triangle divided by a line drawn parallel to the third side. It can also be used to determine the relationship between two equiangular triangles.

We have

RT= x+ 4

TQ= x- 3

RV= x+ 10

As, TV || QS

By using Basic Proportionality Theorem

RT / TQ = RV / VS

(x+ 4) / (x- 3) = (x+ 10)/ x

x² + 4x = x² -3x + 10x - 30

4x - 7x = -30

-3x = -30

x= 10

Thus, the required value is 10.

Learn more about Basic Proportionality Theorem here:

https://brainly.com/question/28987422

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what is the cube root of 343/8?

Answers

Answer:

970.150503788

Step-by-step explanation:

the answer is 0.875 soo use square root on both of them

Please help I’m really need the help (NO LINKS ) (NO LYING )

Answers

Answer:

for this you should use photomath all you do is take a picture of each problem and put the answer down

Answer:

1 = 22.4

2 = 19

3 = 22.6

4 = 18.75

5 = 23.6

6 = 20.85

7 = 29.75

8 = approximately 21.85

9 = i can't read the bottom number sorry

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What is the quotient of 15÷3?

Answers

5

Hope this helps you :D

If x = 2, then which of the following equations makes a TRUE statement?
a.4x + 9 = 20
b.-4x + 5 = -3
c.-3x + 15 = 21
d.5x – 15 = 5

Answers

B becasue -4x2=-8 then you do -8+5=8-5=3 then you look at the bigger number which is -8 so then the answer takes the bigger numbers integer weather is a positive or negative so your answer would be -3

Answer:

Answer is B

Step-by-step explanation: −4x + 5= −3

1. Subtract 5 from both sides −4x +5 −5 = −3 −5

2. You remain with this  −4x = −8

3. Divide both side by -4. -4x/-4 = -8/-4

4. Answer will be x = 2

convert 43 minutes to seconds​

Answers

It would be 2580 seconds

Answer:

2580 seconds

Step-by-step explanation:

There are 60 seconds in 1 minute, so you do 43 * 60 = 2580 seconds

Determine whether each equation is true or false.

Answers

1.False 2.true 3.false is the answer

Answer:

1. False

2. True

3. False

Susan knows that the coordinates of the center of a circle and a point on the circle are (-3, 2) and (10, -2), but she can't remember which coordinate pair is which. What could be an equation of the circle? Explain your answer.

Answers

9514 1404 393

Answer:

  (x +3)² +(y -2)² = 185

  (x -10)² +(y +2)² = 185

Step-by-step explanation:

One possible equation comes from using one of the points as center. The other possible equation comes from using the other point as center.

The radius can be found from the distance formula:

  r² = (x2-x1)² +(y2-y1)² = (10-(-3))² +(2-(-2))² = 169 +16 = 185

The circle formula is ...

  (x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r

The above equations and the ones shown in the attachment are possibilities.

Finding missing angles
180°
35°
X

Answers

Answer:

90 degree and 55 degree

plz mark me as brainliest

Express the quantity of the Cayennepepper im lemon juice in form one​

Answers

Answer:

HUH

Step-by-step explanation:

If Brianna can read 1/4 of her book in 1/2 hour, how much of her book will she read in 1 hour?

Answers

She would read 2/4 in an hour

If 141 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5 and total receipts for the concert was $421.5, how many of each went to the concert?

Answers

Answer: There are 69 adults and 72 children went to the concert.

Step-by-step explanation:

Let x be the number of adults, and y be the number of children.

x + y = 141

3.5x + 2.5y = 421.5

x + y =141

x = 141 - y

3.5(141 - y) + 2.5y = 421.5

493.5 - 3.5y + 2.5y = 421.5

493.5 - y = 421.5

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y = 72

x + y = 141

x + 72 = 141

x = 69

help pls ill give brainlist

Answers

Answer:c

Step-by-step explanation:300 divided by 4 is 75

What is the diameter of a circle with a circumference of 132 ft? Use 227 for π . Round your answer to the nearest whole number.

Answers

Answer:

The answer is 132 feet

Step-by-step explanation:

That's the diameter.

C = pi * d

C = 3.14 * 42

C = 131.88

Thar rounds to 132 feet.

A game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, green, green, star, question mark, green, green, star, green, end.
It is Marcie’s first turn to roll. Which ratio shows the theoretical probability that she will not land on a star space?

1/6
1/3
1/2
2/3



The answer is D. 2/3
no one else had the answer so here it is xx

Answers

Answer:

d

Step-by-step explanation:

Answer:

Answer D:2/3

Step-by-step explanation:

Am I correct? I put

Answers

Answer:

yes

Step-by-step explanation:

Step by step explanation please

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Step-by-step explanation:

of what where is the question

what are we explaining ?

I need help with this. So, please help!! You shall receive 40 points.

Answers

Answer:

p=6/5

Step-by-step explanation:

p=6/5 or 1.2 or (1 and 1/5)

Steps

Switch sides of equation

Divide both sides by 5

Simplify

Add 2 to both sides

In the exact form p= 6/5 (‘fraction form’), but in a -decimal form- it would be p= 1.2
To take an extra step if the question is asking for anything specific then the *mixed number form* is 1 1/5.

A y = 3x + 2
C y=-3x + 2
B y = 3x + 2
D y = - 3 x + 1/2

Answers

for a minute i thought it was c. y = -3x + 2.

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