The solid is a right hexagonal pyramid. What is the sum of the number of faces, vertices, and edges of the solid?
o7
o 12
o26
o38

Answer:

B) 2/3

Step-by-step explanation:

Answer:

120 m^3

Step-by-step explanation:

v=[1/2(b1+b2)h] L

v= [1/2 (6+10)5]3

v=[1/2(16)5]3

v= (8*5)3

v=40*3

v=120 m^3

Answer:

i think it is 90

Step-by-step explanation:

remember the line is srait

Answer:

484feet

Step-by-step explanation:

If the height as a function of time could be modeled by the function h(t)=−16t^2 +16t+480, where t is the time in seconds and h is the height in feet.

The maximum height of Jason occurs when dh/dt = 0 (velocity is zero)

dh/dt = -32t + 16

0 = -32t + 16

32t = 16

t = 16/32

t = 1/2

t = 0.5secs

Get the maximum height

Recall that h(t)=−16t^2 +16t+480

Substitute t = 0.5

h(0.5)=−16(0.5)^2 +16(0.5)+480

h(0.5) = -4 + 8 + 480

h(0.5) = 4 + 480

h(0.5) = 484

Hence the maximum height reached by Jason is 484feet

The maximum height that Jason reaches is h =  484 feet and it will be reached at t = 0.5 sec.

Let the function be denoted by [tex]y = f(x)[/tex]

If it is twice differentiable, then, firstly, we differentiate it with respect to x and equate with 0 to find the critical values.

Let the obtained critical values be [tex]x_1, x_2, ... x_n[/tex]

The second derivative of that function is then evaluated on those critical values.

The [tex]i^{th}[/tex] critical value has got the maximum if [tex]f''(x_i) < 0[/tex]

That means, if at  [tex]x = x_i[/tex] , we get

[tex]f'(x-i) = 0\\and\\f''(x_i) < 0[/tex]

Then that point is where function will have maximum.
If [tex]f''(x_i) > 0[/tex], then the point where the function will have minimum

If value of second rate at point [tex]x_i[/tex] is 0, then we go for third rate of function and check the same facts so on for upper rate(if they exist).

For the given case, we're given the height function as:

[tex]h(t) = - 16t^2 + 16t + 480[/tex]

The function is infinitely differentiable as its polynomial(by a theorem).

Its first and second rate with respect to 't', we get;

[tex]h(t) = - 16t^2 + 16t + 480\\h'(t) = -32t + 16\\h''(t) = -32 < 0[/tex]

Thus, all critical points will be maximum points.

The critical points are evaluated by [tex]h'(t) = 0[/tex]

They are calculated as:

[tex]h'(t) = 0\\-32t + 16 = 0\\t = 0.5 \: \rm sec[/tex]

The height at t = 0.5 s is evaluated as:

[tex]h(0.5) = - 16(0.5)^2 + 16(0.5) + 480 = 484 \: \rm feet[/tex]

Thus, at time 0.5, the height function will be at its maximum value(484 feet). That means, the height of Jason will be maximum when time will be 0.5 seconds from initial time.

Learn more about maximum and minimum values here:

https://brainly.com/question/13333267

Answer:

$136

Step-by-step explanation:

x = per hour

y = total profit

4 + 4 = 8

Equation:

y = 18x - 8

y = 18(8) - 8

y = 144 - 8

y = 136

Answer:

20°

Step-by-step explanation:

for alternate angles

Answer:

angle x= 20°

I hope it's helps you

Answer:

340

Step-by-step explanation:

((-34)5)2

(-170)2

340

Answer:

Yes, distance in yards can be obtained by multiplication.

Step-by-step explanation:

Given that the distance between tow points is 90 feets, The distance between these two points in yards can be obtained either by multiplication or division.

I foot = 0.3333 yards

To convert distance between the second and third bases from feet to yard ;

Multiply distance in feets by 0.3333 to obtain the corresponding distance in yards ;

90 * 0.3333 = 29.997 = 30 yards

Answer:

[tex]\sqrt{90}[/tex]

Step-by-step explanation:

Please see the attached image. Using the coordinates of two points, you can find the distance between them using this formula.

[tex]d=\sqrt{(-2-7)^{2}+(-1-(-4)^{2} } =\sqrt{(-9)^{2} +3^{2} } =\sqrt{81+9} =\sqrt{90}[/tex]

Answer:

440 square miles would be the answer :)

Step-by-step explanation:

Answer:

wheres the question

Step-by-step explanation:

Answer:

slope = 3

Step-by-step explanation:

if each square is equal to 1

The slope has to be 3.

you can see it, because between those 2 point you can count 3 spaces in y-vertex, and 1 space in x-vertex

what that means is that we will move 3 steps up (or down) for each 1 space in x-vertex.

you can see it just right there on the graph

Answer:

6/8 , 12/16 , 48/64

Step-by-step explanation:

Answer: 6 v − 16

Step-by-step explanation:

Answer:

24.59

Step-by-step explanation:

Step-by-step explanation:

What is the Percentage?

percentage, a relative value indicating the hundredth parts of any quantity.

Given,

If you borrow $200 for 12 years at an annual interest rate of 2%

We need to find 2% of 200.

Firstly we have to convert  2% to a decimal number by dividing by 100.

2/100=0.02

Now we have to multiply 0.02 with 200

0.02×200=4

For a month it is four.

Now we are calculating for the year

4×12=48

So now the interest amount is 48.

Now add 48 and 200

48+200

248

Hence, If you borrow $200 for 12 years at an annual interest rate of 2%, then we have to pay $248 altogether.

Hope I Helped!

Answer:

y = 5x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5, then

y = 5x + c ← is the partial equation

To find c substitute (1, 9) into the partial equation

9 = 5 + c ⇒ c = 9 - 5 = 4

y = 5x + 4 ← equation of line

To find the volume we use an equation:

volume = length x width x height

Since this shape is a cube, you only need to know one side to find the volume since all of the sides are equal.

So all you need to find the volume is to multiply 4(1/2) which I am going to simplify to 4.5, is plug it into the equation.

volume = 4.5 x 4.5 x 4.5

Which will get you an answer of 91.125 inches cubed

[tex]91.125in^{3}[/tex]

Hope this helps :)

Answer:

16

Step-by-step explanation:

x/12=5/3-1/3

x/12=4/3

3x=12×4

3x=48

x=16

Answer is in the picture attached

Answer:

17.7

Step-by-step explanation:

Use a calculator.  Enter 3 and then √35.  The calculator should return

17.748.  Round this off to 17.7.

Answer:

17. 7 is the answer.

Step-by-step explanation:

Answer:

1)

a = 117°

c = 117°

d = 63°

2)

c = 87°

3)

a = 60°

b = 30°

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

18 - 2n2  We are gonna be evaluating

Step 2

18 - 2n^2  Substitute n for 3

18-2(3^2)

Step 3

18-2(3^2)  simplify

0

So therefore, your answer is 0

Hope this helps

Answer:

5

Step-by-step explanation:

[tex]x^{2} +12^{2} = 13^{2} \\ x^{2} =13^{2} -12^{2} \\ x^{2} =169-144\\ x^{2} =25\\ \sqrt{x^{2} } =\sqrt{25} \\ x=5[/tex]

Answer: 4(9y-4)

Step-by-step explanation:

36y - 16

4 x 9 is 36

4(9 is just like 36y.

Answer:

sorry :( I need points :((((((

Answer:

6.2

Step-by-step explanation:

Answer:

0

Step-by-step explanation: