Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below:

The volume of square based pyramid is 4cm³.

A square pyramid is a pyramid, in geometry, that has a square base and four lateral faces.

To find the volume of a pyramid, we multiply the area of its base with the height of the pyramid, and divide by 3.

V=1/ 3×B²×h

where B is the area of the base of the pyramid, and h is its height.

Now in the question,

b = 2cm; h = 3cm

Volume = (1/3 x 2x2x3)cm³

= (1x2x2)cm³

= 4cm³

Therefore, the volume of square based pyramid is 4cm³

To learn more about volumes, visit :-

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Answer:

x = 9

y = 9

Answered by GAUTHMATH

Answer:

x = 14

Step-by-step explanation:

let the number be x.

now,

Given that,

4x + 10 = 5x - 4

moving all x terms to the LHS and the constants to the RHS

4x - 5x = -4 - 10

-x = -14

dividing both sides by -1

x = 14

Answer:

6^5

Step-by-step explanation:

We know that a^b /a^c = a^(b-c)

6^20 / 6^15

6^(20-15)

6^5

Answer:

4x^3+4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x+1

(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2

Answer:

participatory design

Step-by-step explanation:

Participatory Design (PD) is defined as an approach that is used for assessment as well as design and development of the technological and the organizational systems.

This method is used to a control and the experimental groups that is as similar as possible. Therefore the participants served their own control group. And so rather than replying the random assignment to produce an equal groups, the researchers have the same group of the participants that experience various conditions in the study.

75 cents *2 / 3 = 50 cents

75 crnts + 50 cents = 125 cents

Answer:

A. -10x^2 - 3x + 4.

Answer:

x = V(X + 8) + 4

Step-by-step explanation:

Switch sides

x - 4 = V(X + 8\)

Add\ 4 to both sides

x - 4 + 4 = V(X + 8\) + 4

Simplify

x = V(X + 8) + 4

by using Pythagoras theorem c2= a2 + b2

so let's say c= 17 and a= 7, let's calculate for b

(17)^2 = (7)^2 + b2

289= 49+b2

289 - 49 = b2

240 =b2

√249 = b

b = 15 . 49

Answer:

15.3 cm² is the correct answer for that question

Answer: b

Step-by-step explanation:

Answer:

Distributive property

Step-by-step explanation:

The question is not properly formatted.

From the available detail, I will re-write the question as follows

[tex]45x + 3(25x + 75y)[/tex]

Required

The property used

Distributive property is stated as follows:

[tex]a(b \± c) = ab \± ac[/tex]

So, we have:

[tex]45x + 3(25x + 75y) = 45x + 75x + 225y[/tex]

Evaluate like terms

[tex]45x + 3(25x + 75y) = 120x + 225y[/tex]

Answer:

sin x

Step-by-step explanation:

sin ^2  x + sin x + cos ^ x -1

sin ^2  x + cos ^ x   + sin x-1

We know that sin^2 x + cos ^2 x = 1

1 + sin x -1

sin x

Hi!

[tex]\sin^2x+\sin x+\cos^2 x-1=\\\\=\underline{\sin^2x+\cos^2x}+\sin x-1=\\\\=1+\sin x-1=\boxed{\sin x}[/tex]

Step-by-step explanation:

A body at rest accelerates to 2.5 meters in 1 second, it then maintains a constant speed for 2 seconds and accelerate 2.5 meters in 2 seconds. It then maintains a constant speed for 2 seconds and finally decelerates for the next eight seconds.

scale = 1cm : 1 unit.

distance axis : 1 to 7.5 meters

Time axis : 1 to 15 seconds

Answer:

y-25 = 2(x-10)

Step-by-step explanation:

First find the slope using the points (10,25) and (20,45)

m = ( y2-y1)/(x2-x1)

m = (45 - 25)/(20-10)

   = 20/10

   = 2

Then using point slope form of a line

y-y1 = m(x-x1)

y-25 = 2(x-10)

Answer:

24 is the answer because 18/3=6 6x4 is 24

========================================================

Explanation:

Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.

If x+y = 180, then y = 180-x.

Plug this into the equation your teacher gave you

x/y = 3/7

x/(180-x) = 3/7

7x = 3(180-x) ... cross multiply

7x = 540 - 3x

7x+3x = 540

10x = 540

x = 540/10

x = 54

Use this to find y

y = 180-x

y = 180-54

y = 126

Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.

Divide both parts of the first fraction by 18 to fully reduce.

Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees

Answer:

The product is -120

Answer:

C= 65° and m D = 35°

this cannot be true

Step-by-step explanation:

a complementary angle adds up to 90°

65°+35°=100

90° =/= 100°

Answer:

woa

i  n

Step-by-step explanation:

Answer:

area of the triangle= 1/2 × base × height

24 = 1/2 × 4 × height

height. = 24/2

= 12 inches

answer is third option

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x = 11[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\2(x+3)+9-5=32\\----------------\\\rightarrow 2x + 6 + 9 - 5 = 32\\\\\rightarrow 2x + 10 = 32\\\\\rightarrow 2x + 10 - 10 = 32 - 10\\\\\rightarrow 2x = 22\\\\\rightarrow \frac{2x=22}{2}\\\\\rightarrow \boxed{x=11}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex](-3,4/375)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{6}(\frac{2}{5})^x[/tex]

Reflection: Across y-axis

Required

The ordered pair on g(x)

The rule of reflection across y-axis is:

[tex](x,y) = (-x,y)[/tex]

So, we have:

[tex]g(x) = f(-x)[/tex]

f(-x) is:

[tex]f(-x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

Recall that:

[tex]g(x) = f(-x)[/tex]

Hence:

[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

From the options (missing in the question), the ordered pair is:

[tex](-3,4/375)[/tex]

To check this, we have:

[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{--3[/tex]

[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{3[/tex]

Expand

[tex]g(-3) = \frac{1}{6}(\frac{8}{125})[/tex]

Simplify

[tex]g(-3) = \frac{1}{3}(\frac{4}{125})[/tex]

Open bracket

[tex]g(-3) = \frac{4}{375}[/tex]

Answer:

Alternate interior angles theorem

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

9/2

Step-by-step explanation:

For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0.

-9/2 + 9/2 = 0

Answer:

9/2.

Step-by-step explanation:

If x is the additive inverse then

x + (-9/2) = 0

x - 9/2 = 0

so x = 9/2.

Answer:

Step-by-step explanation:

This is really simple once you get the hang of it. Promise. Remember this:

IF YOU HAVE THE OPPORTUNITY TO CHOOSE A POINT FROM THE TABLE WHERE X = 0, THEN DO IT!

This gives you the a value in your equation and you don't have to solve for it. I'll show you how this looks in the first table of values and then we won't have to do it going forward.

I'm using the coordinates (0, 1) and (1, .5) from the first table. Filling in the equation with the first set of coordinates:

[tex]1=a(b)^0[/tex] and since anything to the 0 power is 1, we know a = 1 (this happens every time we have a coordinate in an exponential table where the x value is 0. a always equals whatever y is!)

Now that we know a = 1, we use that along with the next coordinate pair and solve for b:

[tex].5=1(b)^1[/tex] which simplifies to

.5 = b and the equation is

[tex]y=1(.5)^x[/tex]

For the next table use the coordinate (0, 50) and 1, 25). From the above explanation, I know that a = 50 (because x = 0). Use that along with the next coordinate pair to solve for b:

[tex]25=50(b)^1[/tex] which simplifies to

b = .5 and the equation is

[tex]y=50(.5)^x[/tex]

Lastly, use the points (0, 192) and (1, 768) and we know that a = 192; and it follows that

[tex]768=192(b)^1[/tex] so

b = 4 and the equation is

[tex]y=192(4)^x[/tex]

The first 2 of these are exponential decay because the number inside the parenthesis is less than 1 but greater than 0; the last one is exponential growth since the number inside the parenthesis is greater than 1. That's how you can tell.

Answer:

The modal age is 11

The range is the highest minus the Lowe's which is 19-9=10

Answer:

Hello,

Answer A

Step-by-step explanation:

Since there are 4 inputs and 3 are known

we shell try a function like y=ax²+bx+c

So we have to resolve the system

[tex]\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\[/tex]

We have to try:

0*x²+3*x+7=31

3x=24

x=8