A cone with diameter 20 yd and a height of 20
yd.

Answer:

23mm

528 mm^2

Step-by-step explanation:

The area of a rectangle is given as  the product of its length and width.

Given that 12x²+17x-5mm² is the area

factorize

12x²+17x-5 = 12x²+20x -3x-5

= 4x(3x+5)-1(3x+5)

= (3x+5)(4x-1)

For the rectangle to be a square, it means that the sides 3x+ 5 and 4x - 1 are equal. Hence

3x + 5 = 4x -1

collect like terms

3x - 4x = -5 -1

-x = -6

x = 6

substitute into the sides

3x + 5 = 3(6) + 5 = 23

4x -1 = 4(6) - 1 = 23

The area of the square which is a product of the sides

= 23 * 23

= 529

Answer:

y = 2x + 8

Step-by-step explanation:

Recall that two parallel lines have the same slope.

Thus, if we begin with y = 2x - 4, we know that this new line through (-1, 6) will also have slope 2.

Starting from the slope-intercept form y = mx + b, we substitute 2 for m, -1 for x and 6 for y:

6 = 2(-1) + b

and solve for the new y-intercept, b:

6 = -2 + b, or

b = 8

Then the new line has the equation y = 2x + 8

Answer:  -8, -5, -2, 1, 4

Step-by-step explanation:

Y=3x-2

- Plug in the number for x.

x = -2, y = 3x - 2= 3(-2) - 2 = - 6 - 2= - 8

x = -1, y = 3x - 2= 3(-1) - 2 = - 3 - 2= - 5

x = 0, y = 3x - 2= 3(0) - 2 = 0- 2= - 2

x = 1, y = 3x - 2= 3(1) - 2 = 3 - 2= 1

x = 2, y = 3x - 2= 3(2) - 2 = 6 - 2= 4

Answer:

831.494559636

Step-by-step explanation:

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Answer: $666

Step-by-step explanation: 306+ 60(6)= 666

Answer:

WX = 6

Step-by-step explanation:

1. Approach

First, one must find the value of the variable (x). This can be done by using the Tangent-Line-intersection-theorem (many people refer to it by another name, but the theory is the same). This theory essentially states that when two lines are tangent to a circle and are non-parallel, the distance between the point of tangency, and the point of intersection of those two lines are the same for each line. After finding the value of (x), one can substitute it back into the given equation for the value of (WX), and solve it.

2. Finding (x)

The two segments; (WX) and (XY) are tangent to the given circle. Meaning that they only make contact with the circle at a single point. The space between their point of tangency and the point at which they intersect will be equal. Essentially meaning that the length of (WX) and the length of (XY) are the same. Therefore the equation

(XY) = (XW)

Can be formed. Substitute in the given values;

7x - 29 = 2x + 16

Inverse operations,

7x - 29 = 2x + 16

-2x          -2x

5x - 29 = 16

     +29    +29

5x = 45

/5      /5

x = 9

3. Solve for (WX)

Now substitute back in to find the length of (WX)

7x = 29

x = 5

7(5) - 29

35 - 29

6

Answer:

-10 and 8

Step-by-step explanation:

-10 + 8 = -2

-10 x 8 = -80

Answer:

x = -10 and y = 8

x = 8 and y = -10

Answer:

All real numbers

Here is your answer!

= x + (x + 2) + 3(x + 2) = T

= (3x + 2) + (3x +6) = T

= 3x + 3x + 2 + 6 = T

= 6x + 8 = T

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∝ Sidhdi

T = 5x + 8 is the formula for T expressed in terms of x.

A relationship between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics. Therefore, an imbalance leads to inequity.

Given, Simon has x sweets. Yuen has 2 more sweets than Simon. Giulia has 3 times as many sweets as Yuen. Simon, Yuen, and Giulia have a total of T sweets.

From the given Data,

Thus, in Total sweets, Simon has = x

Total sweets Yuen have = x + 2

Total sweets Giulia have = 3*(x + 2 )

Since the total sweets all three have is T

Hence, T = x + x +2 + 3(x + 2)

T = x + x + 2 + 3x + 6

T = 5x + 8

Therefore, The formula for T in terms of x is T = 5x + 8

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

22

Step-by-step explanation:

10/2 $5 per pack

110/5= 22 packs

Step-by-step explanation:

3c + 3s = 12.50

4c + 2s = 10.00

3S = 12.50-3c

s = 4.17 - c

4c + 2 (4.17-c) = 10.00

2c + 8.34 = 10.00

2c = 1.66

chips = 0.83

soda = 3.34

Answer: b = m

(3 + m)(3 - m)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the capacity of tank is x

Answer:

8x !

Step-by-step explanation:

Answer:

8x

Step-by-step explanation:

Answer:

I think its a student loan

Step-by-step explanation:

Answer:

studint loan

Step-by-step explanation:

dont have explination for this one

Answer:

[tex] \frac{7}{9} x + 34 = 174 \\ => \frac{7x}{9} = 174 - 34 \\ = > \frac{7x}{9} = 140 \\ = > 7x = 140 \times 9 \\ = > 7x = 1260 \\ = > x = \frac{1260}{7} = 180 \\ { \huge{ \pink{x = 180}}}[/tex]

Answer:

At these rates Sydney read 10 pages per hour more than Zander.

Step-by-step explanation:

Zander read [tex]13\frac{3}{4}[/tex] pages in [tex]\frac{1}{4}[/tex] of an hour.

Therefore, pages read by Zander in 1 hour = [tex]\frac{\text{Total pages read}}{\text{Total time taken}}[/tex]

= [tex]\frac{13\frac{3}{4}}{\frac{1}{4}}[/tex]

= [tex]\frac{55}{4}\times \frac{4}{1}[/tex]

= 55 pages per hour

Sydney read [tex]43\frac{1}{3}[/tex] pages in [tex]\frac{2}{3}[/tex] of an hours.

Pages read by Sydney in 1 hour = [tex]\frac{43\frac{1}{3}}{\frac{2}{3} }[/tex]

= [tex]\frac{130}{3}\times \frac{3}{2}[/tex]

= 65 pages per hour

Therefore, number of pages read more by Sydney as compared to Zander,

= 65 - 55

= 10 pages per hour

At these rates Sydney read 10 pages per hour more than Zander.

Answer:

a

Step-by-step explanation:

Answer:

A) Fluid ounces

Step-by-step explanation:

Answer:

yes it is hard

Step-by-step explanation:

Most people don’t really learn statistics until they start analyzing data in their own research.

Answer:

The answer to your problem should be 2

Answer:

x^2 - 6x + 8 = x^2 - 2x - 4x + 8 = x(x-2) - 4(x-2) = (x-4) (x-2)

x - 4 = 0 => x = 4

x - 2 = 0 => x = 2

9514 1404 393

Answer:

  1 11/12

Step-by-step explanation:

  [tex]\dfrac{1}{6}+\dfrac{7}{4}=\dfrac{2}{12}+\dfrac{21}{12}=\dfrac{2+21}{12}\\\\=\boxed{\dfrac{23}{12}=1\dfrac{11}{12}}[/tex]

Answer:

.85 times the cost to make the shirt

Step-by-step explanation:

Let x represent cost to make the shirt.

Today, the shirt is in a 15 percent discount from its normal price.

Discount = 15/100 * x = 0.15x

Current cost = Original cost - discount

Current cost = x - 0.15x = 0.85x

The answer is;

.85 times the cost to make the shirt

Answer:

24 problems

Step-by-step explanation:

32 x 0.75 = 24

Answer:

24

Step-by-step explanation:

75% of 32 =24

Answer:

12.566 yd

Step-by-step explanation: