If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.

Answer:

x = -5.85

Step-by-step explanation:

Solve the equation

1) [tex]-\frac{2}{9} x + 2.7 = 4[/tex]

Subtract -2.7 on both sides by doing the inverse operation.

2) [tex]-\frac{2}{9}x = 1.3\\[/tex]

Multiply both sides by -9/2 to cancel out -2/9x, so that you can isolate "x" by itself.

3)[tex]x = -5.85[/tex]

Answer:

Angle B is the linear pairs with 60°, so the size is 180-60=120°

Angle ABC is the linear pair with 120°, so the size is 180-120-60°

Angle A corresponds to angle 60°, so they are equal

Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°

Angle ACB is 180-(50+60) = 70°

Step-by-step explanation:

The solution is:

The measure of angle ABC is 60°.

The measure of angle BAC is 50°.

The measure of angle ACB is 70°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Angle B is the linear pairs with 60°,

so the size is 180-60=120°

Angle ABC is the linear pair with 120°,

so the size is 180-120 =60°

Angle A corresponds to angle 60°,

so they are equal

Angle BAC is the linear pair with angle A and angle 70°,

so 180-(60+70) =50°

and, we have,

Angle ACB is 180-(50+60) = 70°

Hence, The solution is:

The measure of angle ABC is 60°.

The measure of angle BAC is 50°.

The measure of angle ACB is 70°.

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Answer:

(4)(1)6

Step-by-step explanation: It only has all positives and the rest all have one negative so that affects the whole problem and turns them negative.

Answer:

It's probably 1/4

Step-by-step explanation:

Answer:

3000

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

It multiplies by 2

Hope I could help!

Answer: (7,3)

Step-by-step explanation:

[Please check]:   I decoded the equations as follows:

3x-4y=9 and −5x+4y=-23

We can solve this by either of two methods:  Algebra and graphing.

Algebra:

Add the two equations:

  3x-4y=9

−5x+4y=-23

-2x = -14

   x = 7

Use x=7 to solve for y:

3x-4y=9

3(7)-4y=9

21 -4y = 9

-4y = -12

y = 3

----

The solution is (7,3)

======

Graphing:

See the attached graph.  The lines intersect at (7,3)

The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].

In this exercise we must apply the definition of derivative, which is described below:

[tex]f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}[/tex] (1)

If we know that [tex]f(x) = 2\cdot x^{2}-9[/tex], then the derivative of the expression is:

[tex]f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}[/tex]

[tex]f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}[/tex]

[tex]f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h[/tex]

[tex]f'(x) = 4\cdot x[/tex]

The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].

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Answer:

gas barrels = 20,400,000

diesel barrels = 17,400,000

other barrels =  22,200,000

Step-by-step explanation:

Total barrels = 60,000,000

gas = 34%   of the barrels

diesel = 29% of the barrels

others = 37% of the barrels     100% - 34% - 29% = 37%

How many of each type of barrels?

60,000,000 ×  34% = gas barrels ;   60,000,000 × .34 = 20,400,000

60,000,000 × 29% = diesel barrels; 60,000,000 × .29 = 17,400,000

60,000,000 × 37% = other barrels;   60,000,000 × .37 = 22,200,000

 Check: Total  barrels  60,000,000                                 = 60,000,000                                    

Answer:

Step-by-step explanation:

LET:

∠XYW=Y

X,Y and W are the angles of triangle so:

X + Y + W=180

3x+11+Y+5x+1=180

Y=180-12-8x

Y=168-8x

Now ∠XYW and ∠XYZ are the angles of a straight line:

∠XYW+∠XYZ=180

168-8x+12x-20=180

4x+148=180

4x=180-148

4x=32

x=32/4

x=8

Now substitute value of x in Y:

∠(12x-20)=12(8)-20

∠Y=76

Answer:

6.5

Step-by-step explanation:

6 to 9 so 39 divided by 6 and you get 6.5

Answer:

6:9 in-simplified is 23:39

Step-by-step explanation:

So 6:9 written in lowest terms is 23:39, this is known as reducing fractions.

Answer:

Step-by-step explanation:

The slope is found using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (0 -5)/(0 -(-4)) = -5/4

  slope = -5/4

The second point can be used to keep it simple.

  point: (0, 0)

Point-slope equation:

  y -0 = -5/4(x -0)

  y = -5/4x . . . . . . . simplified

Answer:

B

Step-by-step explanation:

5m+5m8m+4m=24m2 of the primeter

Answer:

x = 2

Step-by-step explanation:

The answer must be standard

Answer:

try  maltpling 3 *2*2

Step-by-step explanation:

Answer:

x(x+5)/6

Step-by-step explanation:

The approximate percentage discount is equal to 25%.

Given the following data:

To calculate the approximate discount on the calculator:

First of all, we would determine the discount on the calculator by using the following mathematical expression:

[tex]Discount = Original\;price -Sales\;price[/tex]

[tex]Discount = 89.99 -68.25[/tex]

Discount = $21.74

Now, we can calculate the approximate percentage discount:

[tex]Percent\;discount = \frac{21.74}{89.99} \times 100\\\\Percent\;discount = \frac{2174}{89.99}\\\\Percent\;discount = 24.16[/tex]

Percent discount = 25%

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Answer:

x=5

y=3

then ,

x+2y= 5+2 *3

= 5+6

= 10

Step-by-step explanation:

The quotient of n and 9:

Sum of 4 and the quotient:

Answer:

The area is 24

Step-by-step explanation:

Divide the quadrilateral into 4 triangles (two identical at the top and two identical at the bottom).

Then find the area of each triangle and add it all together

Area of Triangle= (base x height)/2

(3 x 3)/2  +  (3 x 3)/2  + (5 x 3)/2  + (5 x 3)/2

this equation gives us 24 as the area

Answer:

648

Step-by-step explanation:

2=2

Answer:

$14

No explanation yet.

Answer:

$14

Step-by-step explanation:

14 dollars

Answer:

The shape of the pyramid does not provide information on population growth

Answer:

523.5miles

Step-by-step explanation:

Marcus traveled 65mph for 3.5hrs and 74mph for 4hrs. To find his total traveled distance we need to multiply the mph by the number of hours.

65x3.5=227.5mi

74x4=296mi

Add the number of miles together.

227.5+296=523.5miles

Hope this helps :)

Step-by-step explanation:

there are 35 in total.

4 go into one box.

so, how many in 8 boxes ?

well, 4×8 = 32

what is the difference between 32 and 35 ?

35 - 32 = 3

so, 3 models are still left.

Answer:

-36

Step-by-step explanation:

12 - 3 = 9, so if the quotient of a number (let's call it x) and 9 is -4, we can create the following equation:

x ÷ 9 = -4

So, if we multiply both sides by 9, we get:

x = 9 * -4 which is -36.

Answer:

Perimeter: 4x+14

Step-by-step explanation:

The Formula for perimeter is P = 2L + 2W

So apply it:

L = x+7

W = x

[tex]P=2x+2\left(x+7\right)[/tex]

[tex]P=4x+14[/tex]

Answer:

c.

Step-by-step explanation: