Find the volume of the cone th=20 in and r=8 in. Solve in terms of pi and round off the decimal to the
nearest tenths.

Answer:

Length of parallel side 2 = 2.91 km

Step-by-step explanation:

Given figure is a trapezoid

Given:

Area of trapezoid = 16.3 km²

Length of parallel side 1 = 5.9 km

Height of trapezoid = 3.7 km

Find:

Length of parallel side 2

Computation:

Area of trapezoid = [Sum of parallel side/2]Height

Area of trapezoid = [(a+b)/2]h

[(5.9 + b)/2]3.7 = 16.3

Length of parallel side 2 = 2.91 km

Answer:

d. distributive property

Step-by-step explanation:

Answer:

[tex]J' = (14,-6)[/tex]

Step-by-step explanation:

Given

[tex]J = (-14,6)[/tex]

[tex]R_0 = 180^\circ[/tex]

Required

Determine J'

When a point (x,y) is rotated 180 degrees around the origin, the new point is (-x, -y).

So:

[tex]J = (-14,6)[/tex]

[tex]J' = (14,-6)[/tex]

Answer:

2) There is a negative leading coefficient is incorrect

Step-by-step explanation:

The leading coefficient is positive.

Answer:

5 dollars

Step-by-step explanation:

Answer:

I'm pretty sure its C!

Step-by-step explanation:

I tried

Answer:

Step-by-step explanation:

I was using 6×8 rectangle as a base of the triangular prism (as shows on the picture.

Let use the definition of a triangular prism and LSA = (5 + 5 + 6) × 8 = 128 cm²

The lateral surface area of the triangular prism is 128 square cm.

A triangular Prism is a pentahedron. It is a 3-D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The edges and vertices of the bases are joined with each other via three rectangular sides.

For the given situation,

The sides of the triangle are 5 cm, 6 cm, 5 cm.

The length of the prism = 8 cm

The formula for lateral surface area of triangular prism is

[tex]LSA=(perimeter)(length)[/tex]

On substituting the above values,

⇒ [tex]LSA=(5+6+5)(8)[/tex]

⇒ [tex]LSA=(16)(8)\\[/tex]

⇒ [tex]LSA=128[/tex]

Hence we can conclude that the lateral surface area of the triangular prism is 128 square cm.

Learn more about triangular prism here

https://brainly.com/question/15070306

#SPJ2

Answer:

Perimeter = 6x-8

Step-by-step explanation:

a=x+5

b=2x-9

Perimeter = 2*(a+b)

Perimeter = 2*(x+5+(2x-9))

Perimeter = 2*(x+5+2x-9)

Perimeter = 2*(3x-4)

Perimeter = 6x-8

Answer:

60 seconds in a minute, so

5460 ÷ 60 = 91 beats per second

Answer:

(a)

[tex]\begin{array}{cccc}{X} & {-\$1.00} & {\$0.00} & {\$4.00} \ \\ {P(X)} & {0.75} & {0.125} & {0.125} & \ \end{array}[/tex]

(b)

[tex]E(x) = -\$0.25[/tex]

Step-by-step explanation:

Given

See attachment for spinner

Solving (a): Complete the table

The amount paid is: $1

From the attached image, we have:

$0 = 6;      $1 = 1;     $5 = 1

To get the profit, we subtract $1 from the possible outcomes of the spinner.

So, we have:

-$1.00 = 6;      $0.00 = 1;     $4.00 = 1

The probability of each is then calculated as:

[tex]P(-\$1.00) = \frac{6}{8} = 0.75[/tex]

[tex]P(-\$0.00) = \frac{1}{8} = 0.12[/tex]

[tex]P(-\$4.00) = \frac{1}{8} = 0.12[/tex]

So, the complete table is:

[tex]\begin{array}{cccc}{X} & {-\$1.00} & {\$0.00} & {\$4.00} \ \\ {P(X)} & {0.75} & {0.125} & {0.125} & \ \end{array}[/tex]

Solving (b): The expected profit E(x)

This is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

[tex]E(x) = -1.00 * 0.75 + 0.00 * 0.125 + 4 * 0.125[/tex]

[tex]E(x) = -\$0.25[/tex]

9514 1404 393

Answer:

  59°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  ∠N +∠L = 180°

  (a +16) +(a -18) = 180

  2a = 182 . . . . . . . . . . add 2

  a = 91 . . . . . . . . . . . . divide by 2

Then the measure of angle M is ...

  ∠M = (a+30)° = (91 +30)° = 121°

and angle K is its supplement.

  ∠K = 180° -121°

  ∠K = 59°

Answer:

x = -8

Step-by-step explanation:

If the line is parallel to the y axis, that means it will be a vertical line.

Vertical lines have an equation of x = , because the line will only go through one x value.

They also will not have a slope, because their slope is undefined.

So, the correct answer is x = -8

yes, -6 is a rational number

Answer:

a) P = 26 cm

b) A = 36 cm²

Step-by-step explanation:

perimeter is sum of all sides: 6+4+2+3+4+7 = 26

Area can be found by taking entire area, 7x6, then subtracting out the area of the missing piece, 2x3

A = 42 - 6 = 36 cm²

Answer:

Area is 36 and Perimeter is 26

Step-by-step explanation:

solving area:

4x6=24

3x4=12

24+12=36

solving perimeter:

6+4+2+3+4+7= 26

Answer:

3

Step-by-step explanation:

Answer:

x=-11

Step-by-step explanation:

not entirely sure what it means by DBJ, but lets see..

i believe the answer is x=-11.

please resend the problem fixed

Answer:

Rental cost of movie is $6.50 ; Rental cost of video game is $2.25

Step-by-step explanation:

4m + 8v = 61 ........ (1)

2m + 3v = 24 ........ (2)

(1) - 2 × (2)

2v = 13

v = 6.5

2m + 3(6.5) = 24

2m = 24 - 19.5

m = 4.5 ÷ 2 = 2.25

Rental cost for each movie is $6.50

Rental cost for each video game is $2.25

Answer:

See explanation

Step-by-step explanation:

Given

[tex]2x + 3y < x + 5y[/tex]

[tex]x < y[/tex]

Required

Which option is true;

No option is given; so, I will just solve the inequality

[tex]2x + 3y < x + 5y[/tex]

Collect like terms:

[tex]2x - x < 5y - 3y[/tex]

Evaluate like terms

[tex]x < 2y[/tex]

This implies that:

[tex]x < 2y[/tex] and [tex]x < y[/tex]

Answer:

very left box- road 1

top right box- scooter

bottom right box- walk

Step-by-step explanation:

Answer: answer above me is correct

Answer:

96

Step-by-step explanation:

Answer:

We have the coldest value of temperature [tex]T(\frac{3}{4},0) = -9/16 [/tex]. and the hottest value is [tex]T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}[/tex].

Step-by-step explanation:

We need to take the derivative with respect of x and y, and equal to zero to find the local minimums.

The temperature equation is:

[tex]T(x,y)=x^{2}+2y^{2}-\frac{3}{2}x[/tex]

Let's take the partials derivatives.

[tex]T_{x}(x,y)=2x-\frac{3}{2}=0[/tex]

[tex]T_{y}(x,y)=4y=0[/tex]

So, we can find the critical point (x,y) of T(x,y).

[tex]2x-\frac{3}{2}=0[/tex]

[tex]x=\frac{3}{4}[/tex]

[tex]4y=0[/tex]

[tex]y=0[/tex]

The critical point is (3/4,0) so the temperature at this point is: [tex]T(\frac{3}{4},0)=(\frac{3}{4})^{2}+2(0)^{2}-(\frac{3}{2})(\frac{3}{4})[/tex]

[tex]T(\frac{3}{4},0)=-\frac{9}{16}[/tex]    

Now, we need to evaluate the boundary condition.

[tex]x^{2}+y^{2}=1[/tex]

We can solve this equation for y and evaluate this value in the temperature.

[tex]y=\pm \sqrt{1-x^{2}}[/tex]

[tex]T(x,\sqrt{1-x^{2}})=x^{2}+2(1-x^{2})-\frac{3}{2}x[/tex]  

[tex]T(x,\sqrt{1-x^{2}})=-x^{2}-\frac{3}{2}x+2[/tex]

Now, let's find the critical point again, as we did above.

[tex]T_{x}(x,\sqrt{1-x^{2}})=-2x-\frac{3}{2}=0[/tex]            

[tex]x=-\frac{3}{4}[/tex]    

Evaluating T(x,y) at this point, we have:

[tex]T(-(3/4),\sqrt{1-(-3/4)^{2}})=-(-\frac{3}{4})^{2}-\frac{3}{2}(-\frac{3}{4})+2[/tex]  

[tex]T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}[/tex]

Now, we can see that at point (3/4,0) we have the coldest value of temperature [tex]T(\frac{3}{4},0) = -9/16 [/tex]. On the other hand, at the point [tex]-(3/4),\frac{\sqrt{7}}{4})[/tex] we have the hottest value of temperature, it is [tex]T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}[/tex].

I hope it helps you!

Answer:

install photomath

Step-by-step explanation:

.............

Step-by-step explanation:

complementary angles add up to 90

x +2/3x = 90

5/3x = 90

5x = 270

x = 54

the other angle is 36

double checking

54 * 2 ÷ 3 = 36

Answer:

30

Step-by-step explanation:

is mrs. jones is 40, her son is 10, sum = 50.

ten years before son was 0, mrs. jones was 30