Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.

Answer:

8

Step-by-step explanation:

the candy = 25

the watermelon = 1

the fish = 4

the peanut = 17

25-17=8

Answer:

x+y-5=0

Step-by-step explanation:

From the graph, we can see that the line goes through points (0, 5) and (5, 0).

To find the slope of a line, we can use the formula (y1-y2)/(x1-x2). When we substitute the coordinates that we just found, we get (5-0)/(0-5). This equation equals 5/(-5), which equals -1. So, the slope is -1.

Then, to find the equation of the line, we can use the formula y-y1=m(x-x1).

In this equation:

y=a placeholder for the y that will be written in the actual equation

y1=needs to be replaced by a y value (you can choose which pair of coordinates it comes from)

m=slope

x=a placeholder for the x that will be written in the actual equation

x1=needs to be replaced by a x value (Needs to be in the same pair of coordinates as y1)

When we substitute the numbers we found, we will get:

y-5=-1(x-0)

y-5=-x

When we add x to both sides, we will get:

x+y-5=0

Answer:

La= 5x

Lb= -8x

Answer:

Step-by-step explanation:

i hope my answer helped u

Answer:

mAB=72°

Step-by-step explanation:

Theorem:The angle between a Tangent and a Radius is 90 degrees.

Applying the above theorem therefore:

∠ANG+∠ANB=90°

54°+∠ANB=90°

∠ANB=90°-54°

∠ANB=36°

Now, Inscribed Angle=[tex]\frac{1}{2}[/tex] of the measure of the arc

Therefore:

36°=[tex]\frac{1}{2}X[/tex] mAB

mAB=36*2=72°

The measure of arcAB is 72 degrees

According to the theorem, the angle between a Tangent and a Radius is 90 degrees.

Applying the above theorem, therefore:

∠ANG+∠ANB=90°

54°+∠ANB=90°

∠ANB=90°-54°

∠ANB=36°

Since inscribed angle = of the measure of the arc

Therefore:

36°= mAB

mAB=36*2=72°

Hence the measure of arcAB is 72 degrees

Learn more on circle geometry here: https://brainly.com/question/24375372

Answer:

45,000

Step-by-step explanation:

80/100 = 36000/x

8x = 360000

x = 45000

Answer:

45000 seats

Step-by-step explanation:

Let t= total number of seats at the ballpark

t* 80% = 36000

Change to decimal form

t*.80 = 36000

Divide each side by .80

.80t/.80 = 36000/.80

t =45000

Answer:

The interest earned in a year was $1080.

Step-by-step explanation:

Since the money was invested at a simple interest rate, then the amount earned in one year is given by the following formula:

M = C*r*t

Where M is the amount earned, C is the amount invested, r is the rate of interest and t is the time elapsed. Applying the data from the problem, we have?

M = 20000*(5.4/100)*1

M = 20000*0.054

M = 1080

The interest earned in a year was $1080.

Answer:

1,080

Step-by-step explanation:

Answer:

C eijdnusjsjsjzjxjdjdudjdndbdjdhdbdbdhhfhdhd

Answer:

92 meters high.

Step-by-step explanation:

This problem involves proportion.

Let x be the unknown, which is the height of the building.

height of pole                     =          height of the building

height of the shadow                       height of the shadow

3.3 m       =    x          

1.78 m           49. 75 m

Solve for x.

(3.3 m) (49.75 m)    = x

      1.78 m

92.2331460674 = x

Rounded to the nearest meter, the building is 92 meters high.

Hope that helps.

Answer:

Yup i'm pretty sure its 8 :D

Step-by-step explanation:

Answer:

yeah, basically certain it 8!!

Answer:

$36

Step-by-step explanation:

50%=$45 because you half it

10%= $9 because you divide it by 5 (using the 50% to find 10%)

60%= $45+$9=$54

60% discount= $54

$90-$54=$36

Answer: I think your answer is $36

Step-by-step explanation:

Answer:

Y would be 9

Step-by-step explanation:

i saw the picture

x:y

1:3

2:6

3:9

You times the x by 3 and keep going down

Hope this helped

Answer:

C≈43.98in

Step-by-step explanation:

Answer:

-0.4

Step-by-step explanation:

m = 10 / -25 = -0.4

Answer:

the following is the answer , a is -5, b is 2

Answer:

The diagonal of the rectangle is approximately 42.5 inches.

Step-by-step explanation:

The area of a rectangle is given by the following formula:

area = width*length

In this case the width = 2*length, therefore we have:

area = 2*length²

722 = 2*length²

2*length² = 722

length² = 361

length = sqrt(361) = 19 inches

width = 2*length = 2*19 = 38 inches

The diagonal forms a right triangle with the sides of the rectangle, where it is the hypotenuse. Therefore we can use Pytagora's theorem:

diagonal = sqrt(length² + width²)

diagonal = sqrt(19² + 38²) = 42.485 inches

The diagonal of the rectangle is approximately 42.5 inches.

Answer:

42.5 inches

Step-by-step explanation:

l = length

w = 2l

A = 722

A = l*w

722 = l * 2l

722 = 2l^2

Divide each side by 2

361 = l^2

Take the square root of each side

sqrt(361) = l

w = 2 * sqrt(361)

We want to find the diagonal so we can use the pythagorean theorem

a^2+ b^2 = c^2 where c is the length of the diagonal

l^2 + w^2 = c^2

(sqrt(361)) ^2 + (2 sqrt(361))^2 = c^2

361+1444 = c^2

1805 = c^2

Take the square root of each side

sqrt(1805) = sqrt(c^2)

42.48529 = c

To the nearest tenth

42.5 =c

Answer:

lool thats teams,

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

4 pizzas cut into 8 slices each is a total of 32 slices. This means that each student would get 2 of these slices, which is equivalent to 1/8 * 2= 1/4, or choice C. Hope this helps!

Answer:

C) 1/4

4x8=32

32/2=16

two-eighths=one-fourth

Answer:

distance across the pond: 13 yd

distance walked by Garret: 12 yd

Step-by-step explanation:

Data:

A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:

x² = 5² + (x-1)²

x² = 25 + x² - 2x + 1

0 = 26 - 2x

x = 13

Answer:

x = -1 + 2 sqr2

or

x = -1 -2 sqr2

Step-by-step explanation:

the answer is B. 9 sides

Answer:

U=2

Step-by-step explanation:

or U is 2 points to the right of T?

Answer: u=2

Step-by-step explanation:

Or is it going by .5

Answer:

.5

Step-by-step explanation:

When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the "%" sign.

Answer:

Step-by-step explanation:

5/12 * 300 = 125 times

The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is 125 times.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A die has 12 faces numbered 1 through 12.

And, The theoretical probability of rolling a prime number is 5/12.

Here, On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 5/12.

Hence,

The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is,

⇒ 300 × 5/12

⇒ 1500 / 12

⇒ 125

Learn more about the multiplication visit:

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Answer:

i believe it is 18

Step-by-step explanation:

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green2 green1 blue red1 red2 red3

green1 green2 blue red2 red1 red3

green2 green1 blue red2 red1 red3

green1 green2 blue red3 red2 red1

green2 green1 blue red3 red2 red1

green1 green2 blue red1 red3 red2

green2 green1 blue red1 red3 red2

red1 red2 red3 blue green1 green 2 everthing above but this way

Answer:

24

Step-by-step explanation:

It follows from the double angle identity for sine,

sin(2x) = 2 sin(x) cos(x),

that

2 cos(75º) sin(75º) = sin(2•75º) = sin(150º)

Alternatively, recall that

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

Adding these together gives

sin(x + y) + sin(x - y) = 2 sin(x) cos(y)

Set x = y = 75º; then

2 sin(75º) cos(75º) = sin(75º + 75º) + sin(75º - 75º)

2 sin(75º) cos(75º) = sin(150º)

2 cos 75° . Sin 75° = Sin 150°

Notice:

Sin 150 º = Sin 30°

See that Sin 75° = Cos 15°

Cos 75° = Sin 15°

So :

2Cos 75° . Sin 75° = 2 Sin 15°Cos°15 = Sin 30°

Answer:

y=3x+1

Step-by-step explanation:

It would be y=3x+1 because if you replace x with 2 and do y=3(2)+1 you would get y=6+1 or just y=7 and in the table for 2 years it says 7 paintings.

Answer:

Step-by-step explanation:

The given graph is a straight line graph. The y axis represents the number of quarts of yellow paint that is mixed. The x axis represents the number of quarts of red paint that is mixed. We would write the required equation in the slope intercept form. The slope intercept form equation of a straight line is expressed as

y = mx + c

Where

m represents slope

c represents y intercept.

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

Slope = (2 - 1)/(5 - 2.5) = 1/2.5

Slope = 0.4

The straight line cuts the y axis at y = 0

It means that c = 0

Therefore, the equation is

y = 0.4x

Answer:

1. −3≠−11 (false)

2. g=7

4. x=−4

5. p=8

7. + 2

8. q = 2

10. =−u+5

16. 5≠2  (false) or

'-3' because -3 + 5 = 2

sorry not sure how to do the others :(

Answer:

The answer is x= -4 x= 15

Step-by-step explanation:

Answer:

The answer will be B.

Step-by-step explanation:

Because when you do it like shown you will gt this

Step 1: Factor left side of equation.

(x+4)(x−15)=0

Step 2: Set factors equal to 0.

x+4=0 or x−15=0

x=−4 or x=15

Answer:

x=−4 or x=15

Answer:

x=19

Step-by-step explanation:

Because the angle Y and X are on parallel lines then if you add Y to X you would get 180 so we know that part of Y is 90.

90+2x+3x-5=180

85+5x=180

5x=95

x=19