MATHEMATICS MIDDLE SCHOOL

The object on the right is made from a square based pyramid...

Answers

Answer 1

Answer:

Answer:

$7.81\ g/cm^3$

Step-by-step explanation:

step 1

Find the volume of the cuboid

The volume is equal to

$V=(6^2)(9)=324\ cm^3$

step 2

Find the mass of the cuboid

Remember that

The density is equal to divide the mass by the volume

The mass is equal to multiply the volume by the density

$m=(324)(0.68)=220.32\ g$

step 3

Find the mass of the square base pyramid

subtract the mass of the cuboid from the total mass

$970-220.32=749.68\ g$

step 4

Find the volume of the pyramid

The volume is equal to

$V=(1)/(3)(6^2)(8)= 96\ cm^3$

step 5

Find the density of the steel (pyramid)

divide the mass of the pyramid by the volume of the pyramid

$749.68/96=7.81\ g/cm^3$

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What is the volume of a cuboid measuring 5cm by 6cm by 7cm

Answers

Volume of a cuboid:

a x b x c = abc

5 cm * 6 cm * 7 cm = 210 cm³

hope this helps!

Bella pays 7 payments of $5 each to a game store. She returns none game and receives $20 back. What is the change to the amount of money she has.

Answers

Answer:

Bella has $15 less

Step-by-step explanation:

Bella made 7 payments of $5 each. So, total payment made by her was $7*$5 = $35$ . As such, Bella had $35 initially. She played all games and received $20 back. This means that she lost $ 15 that is $35 - $20 = $15, in the game.

Therefore, she now has $15 less than the amount of $35 that she had initially. So, $15 is the the change to the amount she has now.

15$7 payments of 5$ = 35$ if she only gets 20$ back she lost 15$

A circular swimming pool is 21 feet in diameter. What is the circumferenceof the swimming pool? *

Answers

Answer:

66 feet

Step-by-step explanation:

diameter = 21 feet

circumference of circle = 2πr or πd

circumference of swimming pool = 22/7 * 21

= 22 * 3

= 66 feet

Hope this year is useful!!

A ball is thrown vertically upward from the ground with an initial velocity of 122 ft/sec. Use the quadratic functionh(t) = -16t2 + 122t +0 to find how long it will take for the ball to reach its maximum height, and then find the
maximum height. Round your answers to the nearest tenth.

Answers

Answer:

232.6 metres after 3.8 seconds.

Step-by-step explanation:

h(t) = -16t² + 122t

a = -16 b = 122 c = 0

Substitute into the quadratic formula

(Ignore the Â)

$x = \frac{-b±\sqrt{b^(2)-4ac}}{2a}$

$x = \frac{-122±\sqrt{122^(2)-4(-16)(0)}}{2(-16)}$

$x = (-122±122)/(-32)$

Split the equation at the ±

$x = (-122+122)/(-32)$ $x = (-122-122)/(-32)$

$x = (0)/(-32)$ $x = (-244)/(-32)$

$x = 0$ $x = (61)/(8)$

The two x-intercepts at 0 and 61/8. The midpoint of the x-intercepts is the axis of symmetry, which is the x-coordinate of the vertex.

Midpoint = [0 + (61/8)] / 2

Midpoint = 61/16 <= This is the time for maximum height

t = 61/16

t = 3.8125 => Round to t = 3.8

To find the maximum height, substitute t=61/16 into the equation

h(t) = -16t² + 122t

h(61/16) = -16(61/16)² + 122(61/16)

h(61/16) = 232.5625 => Round to h = 232.6

Therefore, the ball will reach the maximum height of 232.6 metres after 3.8 seconds.

Write an integer expression that has the same value as 36/(-9)+(-5)

Answers

To find the expression with the same value, we just have to combine the terms in the denominator...

36/(-9)+(-5) =

36/-14

Which property is illustrated by this problem 5.2 + 8.1 = 8 .1 + 5.2Commutative property of addition

associative property of addition

additive identity

Answers

This is the Commutative property of addition because it changes the order of the problem as long as the answer stays the same like how each side is equal to 13.3.

Answer:

Step-by-step explanation:

This is the Commutative property of addition because it changes the order of the problem as long as the answer stays the same like how each side is equal to 13.3.

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