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4 years ago

Find the volume of the pyramid below. Enter your answer as a number with no units.

Mathematics

1 answer:

Aneli [31]4 years ago

3 0

Bet imma go measure it rn!! Be back to you very soon xoxo

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sdas [7]

Answer:

Step-by-step explanation:

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2 years ago

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An ice skater covered 1500 meters in 106 seconds find the unit rate in meters per second

lukranit [14]

Answer:

14.15m/s

Step-by-step explanation:

\We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 106

(1500 miles ÷ 106) / (106 seconds ÷ 106)

=14.15 miles/ 1 second

=14.15 miles/second

= 14.15 miles per second

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3 years ago

If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num

weeeeeb [17]

Answer:

Step-by-step explanation:

$x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right$

$\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}$

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3 years ago

Line segment BC will be reflected over line m to form line segment BC. Which of the following statements must be true?

Len [333]

Answer:

<u>Option A</u>

Step-by-step explanation:

To reflect line segment BC over line m, BB' will be perpendicular to the line m

and line m bisector of BB'.

<u>So, the correct answer is option A</u>

A) Line m is the perpendicular bisector of line segment BB' and the line segment CC'

<u>Option b is wrong</u> , it is impossible for the line B'C' to be perpendicular to line BC. B'C' is the image of BC.

<u>Both option c and d is wrong</u> because the perpendicular distance from b to the line m not equal to the perpendicular distance from c to the line m.

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3 years ago

Find the value of t.

zaharov [31]

Answer:

t =12 m

Step-by-step explanation:

We can use similar triangles and proportions to solve this problem.

Put the smaller triangle on top and the larger triangle on bottom

12 9

------ = -------

16 t

Solve by using cross products

12 t = 9*16

12 t =144

Divide by 12

12t/12 = 144/12

t = 12

5 0

3 years ago

Read 2 more answers