Find the volume of the cylinder. round to the nearest tenth.

Answer:

t = [tex]\frac{14}{5}[/tex]

Step-by-step explanation:

Parallel lines have equal slopes.

calculate the slope m of PQ and then equate the slope of AB to slope of PQ

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = P (- 2, 4 ) and (x₂, y₂ ) = Q (4, - 1 )

[tex]m_{PQ}[/tex] = [tex]\frac{-1-4}{4-(-2)}[/tex] = [tex]\frac{-5}{4+2}[/tex] = - [tex]\frac{5}{6}[/tex]

now calculate slope of AB

with (x₁, y₁ ) = A (4, - 3 ) and (x₂, y₂ ) = B (t, - 2 )

[tex]m_{AB}[/tex] = [tex]\frac{-2-(-3)}{t-4}[/tex] = [tex]\frac{-2+3}{t-4}[/tex] = [tex]\frac{1}{t-4}[/tex]

equating the slopes gives

[tex]\frac{1}{t-4}[/tex] = - [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(t - 4) = - 6

5t - 20 = - 6 ( add 20 to both sides )

5t = 14 ( divide both sides by 5 )

t = [tex]\frac{14}{5}[/tex]

Because we know one point and an axis of symmetry, we know that the point (2, -7) must lie on the graph.

If a function has a line of symmetry at x = x₀, then we know that:

f(x₀ + x) = f(x₀ - x).

So we have symmetry around that line.

Then, if the line of symmetry is at x = 5 and we know that:

f(8) = f(5 + 3) = -7

We also must have:

f(2) = f(5 - 3) = -7

Then the point (2, - 7) must be on the graph.

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The solution of the linear system is given by using an arithmetic operation. Then the value of b is 2.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The linear equation is given below.

–12 + 3b – 1 = –5 – b

The value of b will be given as

Add b both sides, we have

–12 + b + 3b – 1 = –5 – b + b

           –13 + 4b = –5

Add 13 on both sides, we have

13 – 13 + 4b = – 5 + 13

              4b = 8

Divide both sides by 4, we have

b = 2

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Answer:

The fourth option, 2

Answer:3

Step-by-step explanation:

slope formula :  [tex]\bold{ \sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

a.                          coordinates : (3,12) and (4,16)

[tex]\sf \rightarrow \dfrac{16-12}{4-3}[/tex]

[tex]\sf \rightarrow \dfrac{4}{1}[/tex]

[tex]\sf \rightarrow 4[/tex]

b.                          coordinates : (1,4) and (3,12)

[tex]\sf \rightarrow \dfrac{12-4}{3-1}[/tex]

[tex]\sf \rightarrow \dfrac{8}{2}[/tex]

[tex]\sf \rightarrow 4[/tex]

⇒ A. Yes. Both slopes are equal to 4

Answer:

x = 9

Step-by-step explanation:

Simplifying

2 + -6(1 + -1x) = 6 + -4(-1x + -2)

2 + (1 * -6 + -1x * -6) = 6 + -4(-1x + -2)

2 + (-6 + 6x) = 6 + -4(-1x + -2)

Combine like terms: 2 + -6 = -4

-4 + 6x = 6 + -4(-1x + -2)

Reorder the terms:

-4 + 6x = 6 + -4(-2 + -1x)

-4 + 6x = 6 + (-2 * -4 + -1x * -4)

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

Combine like terms: 6 + 8 = 14

-4 + 6x = 14 + 4x

Solving

-4 + 6x = 14 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-4 + 6x + -4x = 14 + 4x + -4x

Combine like terms: 6x + -4x = 2x

-4 + 2x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0

-4 + 2x = 14 + 0

-4 + 2x = 14

Add '4' to each side of the equation.

-4 + 4 + 2x = 14 + 4

Combine like terms: -4 + 4 = 0

0 + 2x = 14 + 4

2x = 14 + 4

Combine like terms: 14 + 4 = 18

2x = 18

Divide each side by '2'.

x = 9

Simplifying

x = 9

Answer:

6:45

Step-by-step explanation: add 45 min to 6:00 and you have your answer

Answer:6:45

Step-by-step explanation: 6:00 + 45minutes would be 6:45

Answer:

432

Step-by-step explanation:

Step-by-step explanation:

area of triangles

1/2*9*8= 36

area of.rectangle

8*9= 72

36+72=108 square inches

Answer:

b. 8

Step-by-step explanation:

the point asked has coordinates (100;8) (weight;calories)

Answer:

To find the surface area of a cuboid, add the areas of all 6 faces.

Answer:

1.91

Step-by-step explanation:

191% means [tex]\sf \frac{191}{100}[/tex]

So to write 191% as a decimal, simply divide it by 100.

To divide a number by 100, move the decimal point to the left by 2 places.

[tex]\sf \implies 191 \div 100=1.91[/tex]

The volume of the stucture made from three rectangular prism is 4080 ft³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 12 * 10 * 5 = 600 ft³

The volume of the other prism = length * width * height = 10 * 8 * 36 = 2880 ft³

Volume of the structure = 600 ft³ + 600 ft³ + 2880 ft³ = 4080 ft³

The volume of the stucture made from three rectangular prism is 4080 ft³

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Answer:

the side s is 18

Step-by-step explanation:

s=?

Area of square(A)=324

Now,

A=s²

324=s²

√(324)=s

s=18

Answer:

2 days.

Step-by-step explanation:

Candice has already taken 5 pictures total, so if she needs to have seven in total she will only have to go on vacation for two days.

Answer:

C

Step-by-step explanation:

If we have 5 packages and each contains 80, we are basically doing 80+80+80+80+80 (5 TIMES) which is referred to as 80×5=400

Answer:

1 package contain 80 sheets of paper.

If there is 5 packages, there will be 'x' sheets of paper.

We replace the sheets of paper with 'x', because the value of x is unknown.

Now we set up the equation:

__________   _________ = _________, solve for x;

80/1 = x/5

*5        *5

400 = x

Answer:

I think it's 8

Step-by-step explanation:

because if you think of an octagon it has eight sides and the only parallel sides is pn the top of the octagon and the bottom of the octagon

Can you please show me what angle?

Answer:

12.5%

Step-by-step explanation:

900 - 800 = 100

Gotta pay $100 more

100 / 800 = 0.125

Answer:

2.23

Step-by-step explanation:

we get this by making the fraction a decimal and finding out the value of each section

Answer:

4

Step-by-step explanation:

please see analysis

[tex]\left\{\right.{ \triangle}\ RST\cong { \triangle}\ DE[/tex]F

[tex](SSS\ Congruence\ Postulate)[/tex]

[tex]2.\ { \triangle\ CAT\cong { \triangle\ BED\ \left\{\right.Given\left.\ \right\}[/tex]

[tex]\bar{AT}\cong\bar{ED}[/tex]

[tex]\overline{AT}=20[/tex]

[tex]so\ \overline{ED}=20[/tex]

[tex]DE=3x-7=20\rightarrow\ x=9[/tex]

I hope this helps you:)

The values of the length of the missing sides of triangle is x = 7√2 and y = 7.

Special right triangles are right triangles with three determined interior angles and fixed side ratios. If one side is known in these right-angled triangles, we can find the value of the two missing sides. The 45°- 45°-90° triangle and the 30°- 60°-90° triangle are other names for the two unique right triangles. Before going further, let's review the fundamental characteristics of a right triangle.

One of the angles of a right triangle is 90 degrees, and the total of the other two angles is also 90 degrees. The triangle's hypotenuse, which is the longest side, is the side that faces the right angle.

From the given figure we observe that the two angles are 45 degree and 90 degree.

Using the angle sum property we have:

45 + 90 + third angle = 180

third angle = 45 degrees.

The triangle is thus a 45-45-90 triangle.

The sides of 45-45-90 triangle correspond to the lengths as x : x : x√2.

Here, the angle corresponding to 45 is 7.

Thus, y = 7 and x = 7√2.

Hence, the values of the length of the missing sides of triangle is x = 7√2 and y = 7.

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Answer:

{- 1, 0, 4 }

Step-by-step explanation:

the range is the y- coordinates of the plotted points

the coordinates of the points are

(- 4, - 1 ) , (1, 0 ) , (1, 4 ) with y- coordinates - 1, 0, 4

then range is { - 1, 0, 4 }

Answer:

Step-by-step explanation:

2+4(4x49)=4+39(563x7)

2+4x196=4+39x3941

2+784=4+153699

786=153703

This equation is

not possible because

786≠153703

Answer:

D. 16 square cm

Step-by-step explanation:

To solve this problem, we will have to look at the Scale factor.

1 : 8 =  1 cm (in the scale drawing) = 8cm (in the real object)

Since the area of the scale drawing is 2 cm, the equation will be 2 x 8 = 16.

Therefore, 16 will be the area of the real object.

-kiniwih426

Answer:

The answer is (3).

Step-by-step explanation:

Ron and Harry have ages that are consecutive odd integers. The product of their ages is 783. So, the ron's age r is 27.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Ron and harry have ages that are consecutive odd integers. The product of their ages is 783.

r is younger

r + 2 = s

product is 783

783 = rs

s = r +2

783 = r(r+2)

So, the quadratic equation form

783 = r^2 + 2r

0 = r^2 + 2r -783

0 = (r -27)(r +29)

set to zero

r-27 = 0

r = 27

and

r + 29 = 0

r = -29

thus, The age of ron is 27 years old.

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Answer:  Distributive property  a(b+c) = ab + ac

-5(7)x + 7(7) = -35x + 49 (D)

Answer:

Step-by-step explanation: