question 8 thank youuu

Answer: length = 10 yards

Width = 4.5 yard

Step-by-step explanation:

Let the width be represented by x.

Since the length of a rectangle is 1 yd more than twice the width. This will be:

= (2 × x) + 1

= 2x+1

Area = 45

Note that length × breadth = Area

(2x + 1) × x = 45

2x² + x = 45

Equate the equation to 0

2x² + x - 45 = 0

2x² + 10x - 9x - 45 = 0

2x(x + 5) - 9(x + 5) = 0

(2x - 9) = 0

2x = 9

x = 9/2

The width is 4.5 yard

Length = 2x + 1

= 2(4.5) + 1

= 9 + 1

= 10 yard

Answer:

x = 6

Step-by-step explanation:

5x - 7 and 23 are vertical angles and are congruent , then

5x - 7 = 23 ( add 7 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

Answer:

2497

Step-by-step explanation:

Answer:

2497

Step-by-step explanation:

53 + 2444

= 0053 + 2444

= 2497

Answer:

Compound interest

Step-by-step explanation:

The question requires us to determine if the interest earned is a simple or compound interest

Simple interest = amount deposited x time x interest rate

Future value with compounding = A( 1 + r)^n

A = amount deposited

r = interest rate

n = time

We would calculate the simple interest and the future value in year 2

Simple interest in year 2 = $3500 x 0.0375 x 2 = 262.50

Future value in 2 years with a simple interest = 262.50 + 3500 = $3762.50

Future value in year 2 with compounding = 3500 x (1.0375)^2 = $3767.42

The value provided in year 2 with compounding matches that provided in the question. Thus, it is compounding of interest that is done

Answer:

B

Step-by-step explanation:

Answer:

half

Step-by-step explanation:

Answer:

Volume = ½x³ units.

Step-by-step explanation:

From the image, we can deduce the following;

Length = x

Breadth = x

Height = ½x

To find the volume of prism;

Mathematically, the volume of a prism is given by the formula;

Volume of prism = length * breadth * height

Substituting into the formula, we have;

Volume of prism = x * x * ½x

Volume = x² * ½x

Volume = ½x³ units

Answer:

1. A- 1/2x^3

2. 168

3. 927

4A. 48

4B. 336

5. A D

6. 1 3 3

7. 12 cm

8. 8 , 4

9. B

10. A C D

Step-by-step explanation:

Answer:

short side = 4

Step-by-step explanation:

area = 1/2BH

18 = 1/2(x - 1)(x + 4)

18 = 1/2(x² + 4x - x - 4)

multiply both sides of the equation by 2:

36 = x² + 3x - 4

x² + 3x - 40 = 0

(x + 8)(x - 5) = 0

x = 5

short side = 5 - 1 = 4

The shortest length of the right angled triangle is 4 cm.

where

b = base

h = height

Therefore,

area = 18 cm²

18 = [tex]\frac{1}{2}[/tex] × (x - 1)(x + 4)

36 = (x - 1)(x + 4)

x² + 4x - x - 4 = 36

x² + 3x - 4 = 36

x² + 3x - 4 - 36 = 0

x² + 3x - 40 = 0

x² - 5x + 8x - 40 = 0

x(x - 5) + 8(x - 5) = 0

(x + 8)(x - 5) = 0

x = -8 or 5

we can only use positive numbers.

Therefore,

x = 5

The shortest sides is definitely one of the 2 legs . The hypotenuse of a triangle is the longest side.

Therefore,

h = x - 1 = 5 - 1 = 4 cm

b = x + 4 = 5 + 4 = 9 cm

learn more on right angled triangle here: https://brainly.com/question/2292567?referrer=searchResults

Answer:

[tex]6 (v-11) (v + 10 )[/tex]

Step-by-step explanation:

i dont have any

AnsweR 6(V-11)(V+10)

Step-by-step explanation:

step1: after factoring out 6 we have :6v^2-6v-660=6(v^2-v-110)

step 2:identify constants b and c. b+-1 and c=-110

step3:find out all pairs of -110.

-1,110    1,110

-2,55    2,-55

-5,22      5,-22

-10,11      10,-11

step4: place 10 and 11 into place holders

x^2-x-110=(x+-)(x+-)

x^2-x-110=(x+10)(x-11)

Answer:

The answer is the second option. x = -5.873 , x = 1.873

Step-by-step explanation:

1. add 11 to both sides of the equation

x^2 + 4x = 11

2. find a value that is equal to the square of half of b

(b/2)^2 = (2)^2

3. add the term to each side of the equation

x^2 + 4x + (2)^2 = 11 + (2)^2

4. simplify the equation

x^2 + 4x + 4 = 15

5. factor the perfect trinomial square into

(x + 2)^2 • (x + 2)^2 = 15

6. solve the equation for x

x = 1.873 , x = -5.873

HOPE THIS HELPS!!

☆☆ plz mark as brainliest ☆☆

Answer:

how should we help?

Step-by-step explanation:

Answer:

dang that sucks..... try and play music at max vol and see if you hear any music coming from anywhere that's probably were the airpods are, if they are in the case then i dont know if u would hear anything. It all depends...

~ i hope this has helped ya out some how, hope ya find your airpods my friend!~

Step-by-step explanation:

Answer:

288 ft³

Step-by-step explanation:

Given that

The volume of each box is 1 cubic foot

And, Hollies required 8 of these layers

Now based on the above information

We assume that the dimension of the base layer is 6 by 6

So, the volume of the container is

= Length × Width × Height

where,

Length = 6 ft

Width = 6 ft

And, Height = 8 ft

So,

= 6 ft × 6 ft × 8 ft

= 288 ft³

Answer: think its c

Step-by-step explanation:

I believe the answer is 18%

Answer:

900 feet per minute

Step by step solution:

I did 60÷4 then it is 15 so 600*15 is 9000

Hope i am right...

Answer:

one solution, x=2

Step-by-step explanation:

brainliest?

Answer:

1.) 150

2.) 10

Step-by-step explanation:

If you look at the chart, above the 25 in the seconds row in the gallons row is 150.

This means that the chart tells you there are 150 gallons for every 25 seconds.

The second question asks about 60 gallons. So, if you look at 60 on the gallons row, and look below it on the seconds row, you see 10.

This means the chart tells you there are 60 gallons for every 10 seconds.

Answer:

hi

Step-by-step explanation:

i think 15 or 8

hope it helps

Answer:

11 is the answer

Step-by-step explanation:

8+7-4

15-4

11

on number positive 11 is the answer

its just simple addition and substraction then the result can displayed on number line where 11 comes on number line mark that point

Answer:

3og -5 “times (x)” 3

Step-by-step explanation:

(3og minus 5) times 3

I don’t have time to explain but I hope this helps, I’m in a rush rn I got to do something

Answer:

Let the marked price =Rs100

After a discount of 20%, the price = 100−20% of100 = 100−10020×100 = 100−20=80

After a further discount of 5%, price = 80−5% of80 = 80−1005×80 = 80−4 = Rs76

Final Selling = Rs76

Total Discount = 100−76=Rs24

Thus, discount % = 10024×100 = 24%

Answer:

a

Step-by-step explanation:

[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

Answer:

x = 57°

Step-by-step explanation:

angles on a straight line add up to 180°. to work out x, we need to subtract 70 and 53 from 180, to get the remaining angle, aka angle x. 180-70=110.

110-53= 57. therefore, x = 57°.

The measure of angle x in the straight line ABC is 57 degrees

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

x + 53 + 70 = 180° (sum of angles in a straight line).

Hence:

x = 57°

The measure of angle x in the straight line ABC is 57 degrees

Find out more on equation at: https://brainly.com/question/2972832