The height of a pyramid created by 4 diagonals inside a cube is 6 units. What is the volume of the pyramid? Choose the expression that can help determine this.
A) [tex]\frac{1}{3}[/tex](6⋅6⋅6)
B) [tex]\frac{1}{6}[/tex](6⋅6⋅6)
C) [tex]\frac{1}{6}[/tex](12⋅12⋅12)
D) [tex]\frac{1}{3}[/tex](12⋅12⋅12)

Answer:

500

Step-by-step explanation:

it is in the hundreths place

Answer:

Step-by-step explanation:

500 because it's in the hundredths place

Answer:

J. 50x < 330 + 30x

Step-by-step explanation:

Answer:

£14579.76

Step-by-step explanation:

First do 16855.21 * .135 =  2275.45335 now do 16855.21 - 2275.45335 to get 14579.75665 round this to get 14579.76

Answer: it’s d. 20 .

Answer: If you draw any vertical line and it intersects more than one point on the relationship, it isn’t a function. The test is called the vertical line test. Hope this helps.

Step-by-step explanation:

Answer: x=7

Step-by-step explanation:

Answer:

X=7 is correct via a p e x

Answer:

i believe 95 ft ² but I'm not sure sorry

Answer:

95

Step-by-step explanation:

this seems to be a triangular prism. Hopefull this works?

6*1/3 (5+5+5)=95

∠IJG = ∠FGE (they are corresponding angle)

So, ∠FGE = 50°

Answer:

∠FGE is also 50°

Step-by-step explanation:

they are corresponding angles.

Answer:

m<FEG = 23°

m<FEH = 113°

Step-by-step explanation:

A diameter is always 180° to it's corresponding arc.

The circumference or full arc of a circle is 360°.

If EG is a diameter, Arc EG is 180°.

Given that Arc EF = 134°, and Arc EG = 180°.

Arc EF + Arc EG + Arc FG = 360°.

134° + 180° + Arc FG = 360°

314° + Arc FG = 360°

–314° –314°

Arc FG = 360° – 314° = 46°

The angle formed by the two chords that make the arc is ½ the measure of that Arc.

Meaning that m<feg which is the angle formed by arc FG is ½ 46° which means that m<feg = 23°.

Given that segment EH is tangent to point E.

The rule of a segment and a tangent is that the angle formed is also ½ the measure of the arc.

This means that m<FEH = ½(Arc FG + Arc EG)

m<FEH = ½(46° + 180°) = ½(226°) = 113°

Answer:

10

Step-by-step explanation:

12 x 2 = 24

2 x 2 = 4

10 x 2 = 20

20 + 4 = 24

I hope this helps!

Given:

Box A has a surface area of 98 in².

Box B is 4 times the size of box A.

To find:

The surface area of box B.

Solution:

Let "a" be the side of box A , then "4a" be the side of box B because box B is 4 times the size of box A.

We know that the areas of similar figures are proportional to the square of their corresponding sides.

[tex]\dfrac{\text{Area of box A}}{\text{Area of box B}}=\dfrac{(\text{Side of box A})^2}{(\text{Side of box B})^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{(4a)^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{16a^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{1}{16}[/tex]

Using cross multiplication, we get

[tex]98\times 16=1\times A_B[/tex]

[tex]1568=A_B[/tex]

Therefore, the surface area of box B is 1568 in².

Answer:

8

Step-by-step explanation:

Actually since there is only 4 cups of grape juice and 7 cups of lemonade you could only make 4 cups of punch. So your answer would be 8 because 4x2=8

15

Explanation:

If y varies inversely as x, the two variables can be represented in an equation in the form

y

=

k

x

where

k

is some constant.

We are given that

y

=

5

when

x

=

6

. We can plug this into the above equation to find what

k

is:

5

=

k

6

30

=

k

Based on this we can create our equation:

y

=

30

x

And then find

x

when

y

=

2

:

2

=

30

x

2

x

=

30

x

=

15

Answer:

(-1, 5)

Step-by-step explanation:

3 [x + y = 4]

  3x + 3y = 12

-  3x + 7y = 32

-4y = -20

y = 5

x + 5 = 4

x = -1

Answer:

The best answer is A.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

r/6 +2 = X

Step-by-step explanation:

We want to isolate X by itself to find its value. First transpose your -4 to the other side (note that -4 will become positive)

r + 2 +4 = 3x

r + 6 = 3x

To find the X, we get rid of the 3, so divide both sides by 3

r/3 + 6/3 = x

r/3 + 2 = x

OR

(r+6)/3 = x

Both works : )

Answer:

Step-by-step explanation:

We want to solve r + 2 = 3x – 4 for x.

This means isolating x on one side.  To do this, first add 4 to both sides, obtaining r + 2 + 4 =3x, or:

r + 6 = 3x

Finally, divide both sides by 3:

        r + 6

x = -------------

            3

Answer:

E. 18 on each van and 40 on each bus

Step-by-step explanation:

3(18) + 5(40) = 254 and 10(18) + 10(40) = 580

Answer:

The product of 6x5/3 will be greater than 6 because the fraction 5/3 is greater than 1.

Step-by-step explanation:

Note: If any fraction which the numerator and denominator have the same number , for example 6/6 it will equal to 1. If the numerator overpasses the denominator, it will be more than 1.

Answer:

57.15 cm

Step-by-step explanation:

FORMULA  

multiply the value by 2.54

Hope this helps! have a great day :)

Answer:

57.15 cm

Step-by-step explanation:

Use the appropriate conversion factor:

22.5 in     2.54 cm

----------- * -------------- = 57.15 cm

      1            1 in

D. 3

The absolute value is always even.

Answer:

363.1

Step-by-step explanation:

Answer:

$10 and $130

Step-by-step explanation:

If he spent 10 of his pocket money, then he spent 10

Because he spent 10, that means that he had 120 + 10 = 130 at the start

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Step-by-step explanation:

Take pear trees be X

1/10+2/5+1/3+x=150 (Take LCM of 10,5,3=30)

3/30+12/30+10/30+30x/30= 150

25/30+30x/30=150

25+x=150/30

X=5-25=-20 are pear trees

hope it helps

Answer:

25 adult tickets were sold and 100 student tickets were sold.

Step-by-step explanation:

Let the number of adult tickets sold be x and the number of student tickets sold be y.

We know that the total amount collected from the tickets was $850, and that a total of 125 tickets were sold. We can use this information to come up with two equations.

10x + 6y = 850 - Equation 1

x + y = 125 - Equation 2

Then, use the substitution method to solve for either x or y first, followed by the other.

From equation two:

x + y = 125

x = 125 - y - Equation 3

Sub eqn 3 into eqn 1:

10(125-y) + 6y = 850

1250 - 10y + 6y = 850

1250 - 4y = 850

-4y = - 400

y - 100

Sub y = 100 into eqn 2:

x + 100 = 125

x = 25

Check:

10(25) + 6(100) = 850

Answer: (x - 3, y - 6) or S(-5 -3, 6 -6)

First we have to figure out how many spaces left to right (x-axis) and how many spaces up and down (y-axis) will get us to S'

x-axis: -5 - 3 = -8

y-axis: 6 - 6 = 0

Now we just add this to the original coordinate to give us the translation coordinate:

S(-5, 6) → S(-5 -3, 6 -6)

Answer:7/3 or 2.333 for short.

Step 1 add both sides with seven, Step 2 simplify by adding the numbers,  

step 3 Subtract  2a from both sides of the equation,step 4 Combine like terms, step 5 Divide both sides of the equation by the same term,Step 6 Cancel terms that are in both the numerator and denominator.