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Answer:

X-290

X=70

Step-by-step explanation:

Answer:

256 m^2

Step-by-step explanation:

Answer:

-2x^2+5x+12

Step-by-step explanation:

(4-x)(3+2x)

12-3x+8x-2x^2

12+5x-2x^2

-2x^2+5x+12

Answer:

Step-by-step explanation:

Area of triangle = 1/2 × Base × Height

Mr.Eastman drew triangle JKL,with a height of 12 inches and a base of 12 inches

Area of JKL = 1/2 × 12 inches × 12 inches

= 72 Square inches

triangle XLZ, with a height of 8 inches and a base of 16 inches. Which triangle has the greater area?

The correct statements about the volume of the cone are:

- The volume of the cone is One-third the volume of the cylinder.

- The expression 84 pi over 3 finds the volume of the cone.

- The volume of the cone is less than the volume of the cylinder.

[tex]V=\pi\times r^2\times h[/tex]

where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder

where 'r' is the radius of the base of the cone and 'h' is height of the cone

For given example,

The volume of the cylinder is 84 pi inches cubed.

Let [tex]V_1[/tex] represents the volume of the cylinder.

[tex]V_1=84~~cu.in.[/tex]

Using the formula of the volume of the cylinder,

[tex]V_1=\pi\times r^2\times h[/tex]

where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder

Let [tex]V_2[/tex] be the volume of the cone.

Assume that the base radius 'r' and height 'h' of the cone and the cylinder are equal.

Using the formula of the volume of the cone,

[tex]\Rightarrow V_2=\pi\times r^2\times \frac{h}{3}\\\\\Rightarrow V_2=\frac{1}{3}\times( \pi\times r^2\times h) \\\\\Rightarrow V_2=\frac{1}{3}\times V_1[/tex]

This means, the volume of the cone is One-third the volume of the cylinder.

[tex]\Rightarrow V2=\frac{1}{3}\times 84[/tex]

This means, the expression 84 pi over 3 finds the volume of the cone.

[tex]\Rightarrow V_2=28~~cu.in.\pi \\\\\Rightarrow V_2 < V_1[/tex]

This means, the volume of the cone is less than the volume of the cylinder.

Therefore, the correct statements about the volume of the cone are:

- The volume of the cone is One-third the volume of the cylinder.

- The expression 84 pi over 3 finds the volume of the cone.

- The volume of the cone is less than the volume of the cylinder.

Learn more about the volume of the cylinder and the volume of the cone here:

https://brainly.com/question/16007458

#SPJ2

Answer:

3x + 2y = 16

x = 2 , y = 5

Step-by-step explanation:

Given that George bought x quarts at $3.00 per quart & y quarts at $2.00 per quart and he bought 7 quarts for $16.00

Considering the total cost

3x + 2y = 16

For the cost of each

x + y = 7

solving the 2 equations simultaneously be substitution

x = 7 - y

3(7 - y) + 2y = 16

21 - 3y + 2y = 16

-3y + 2y = 16 - 21

-y = - 5

Divide both sides by -1

y = 5

x = 7 -y

x = 7 - 5

= 2

Answer:

84.9 ft

Step-by-step explanation:

a^2 + b^2 = c^2

60^2 + 60^2 = c^2

3600 + 3600 = 7200

the square root of 7200

84.8528137424 ft or 84.9 ft

Answer:

2(n)+9

Step-by-step explanation:

N is 9 btw

Answer:

180 ft2

Step-by-step explanation:

First solve for the area of the trapzeoid using formula:

A= a+b/2xh

10+18x6/2

A= 84 ft2

Then solve for the rectangles B and C:

12x4= 48

48x2 (because theres two rectangles) which equals 96

Combine the two to get the total area:

96+84= 180

Answer:

x= -3 y =1

Step-by-step explanation:

Answer:

100:20 or 100/20 or 100 to 20

Answer:

The correct pair of functions is the third one:  h(x)=(x−24)^2 and g(x)=x2

Step-by-step explanation:

Example:  If we have q(x) = x^2 and its graph, moving the vertex of this graph 24 units to the right results in r(x) = (x - 24)^2.

The correct pair of functions is the third one:  h(x)=(x−24)^2 and g(x)=x2

Note:  the fourth pair is incorrect, because the " + " sign moves the graph of x^2 24 units to the left.

Answer:

C)h(x)=(x−24)2 and g(x)=x2

Step-by-step explanation:

Answer: He went wrong when multiplying.

Step-by-step explanation: He went wrong when multiplying because if you actually do the problem your answer would be 8 but he probably did 8 times 10.

Answer:

5'2

Step-by-step explanation:

Answer:

Should be store B :) The unit rate for store A (rounded) is 0.11 and the rounded unit rate for store B is 0.10

Step-by-step explanation:

Answer:

Store B has the better deal

Unit rate:

Store A = $0.11

Store B = $0.10

Step-by-step explanation:

Store A :

8pencils = $0.89

1 pencil = $0.89/8 = $0.111

Store B:

12pencils = $1.25

1 pencil = $1.25/12 = $0.104

Store B sells 1 pencil at $0.104 and store A at $0.111

Therefore Store B sells the better deal.

Answer:

t= 41.2 minutes

Step-by-step explanation:

[tex]16=290(0.5)^{\frac{t}{10} }[/tex]

Divide by 290 to get the exponential expression alone

[tex]\frac{16}{290} \\\frac{8}{145}=(.0.5)^{t/10}[/tex]

Use Logs to solve

[tex]x=a^{y}[/tex] is equal to [tex]y=log_{a} x[/tex]

[tex]\frac{t}{10} =log_{0.5} \frac{8}{145}[/tex]  (put in calculator)

[tex]\frac{t}{10} = 4.18[/tex]

t= 41.2 minutes

Answer: b=-9

Step-by-step explanation:

1. divide both sides

2.move the terms

3.collect like terms, calculate

4.change the signs

Answer: sorry I dont know!

Step-by-step explanation:

Answer: Yes they are

Yes, they are because when you simplify both of them, they both give you 1:2 which proves they are equivalent.

2:4-->1:2

5:10-->1:2

Hope this helps you!

Answer:

Yes they are

Step-by-step explanation:

Step-by-step explanation:

here <D+<B=180

sum of two opposite angle of the cyclic quadrilateral is 180

x+28=180

x=180-28=152°

angle A=x-36=152-36=116°

Answer:

2√3

Step-by-step explanation:

√3x4 = √12 = 2√3

Answer:

9x^8

Step-by-step explanation:

good luck!!

Answer: 52.

Step-by-step explanation:

52x2=104

104-60=44

44/11=4

Answer:

The unit price of brant A and brand B is 0.1311 and 0.1704 and brand A would be better

Step-by-step explanation:

The computation of the unit price for each brand is shown below:

For brand A, the unit price is

= 2.36 ÷ 18 pencils

= 0.1311

For Brand b, the unit price is

= 4.09 ÷ 24

= 0.1704

So here as we can see that brand A would be better as it has less cost as compared with brand B

Answer:

209.5 g

Step-by-step explanation:

The chart shows that 25% of the peanut butter is protein.

25% of 838 g =

= 0.25 * 838 g

= 209.5 g

Answer: 209.5 g

Answer:

2,359,000,000

Step-by-step explanation:

Answer:

2,359,000,000 would be the standard form

Step-by-step explanation: