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2 years ago

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A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a sid

e of 15. If the volumd of the two prisms are equal, what is the height of the second prism?

1 answer:

Alenkinab [10]2 years ago

7 0

Answer:

6cm

Step-by-step explanation:

correct for 100 points i swear

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Given the sequence 7, 12, 17, 22, ...

abruzzese [7]

Answer:

option D is true.

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, ...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

Computing the differences of all the adjacent terms

$12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5$

The difference between all the adjacent terms is the same

so

$d=5$

as

$a_1=7$

Thus, the nth term of the arithmetic sequence will be:

$a_n=5\left(n-1\right)+7$

$a_n=5n+2$

Therefore, option D is true.

7 0

3 years ago

Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. I

Elden [556K]

Answer:

$Time = 11\frac{2}{3}\ min$

Step-by-step explanation:

Given

$Security\ A = 2\ mins, 20\ secs$

$Security\ B = 1\ mins, 40\ secs$

Required

After how many minutes, will they round together

First, convert the given time to minutes

$Security\ A = 2\ mins, 20\ secs$

$Security\ A = 2\ mins+ 20\ secs$

$Security\ A = 2\ mins+ \frac{20}{60}\ min$

$Security\ A = 2\ mins+ \frac{1}{3}\ min$

$Security\ A = 2\frac{1}{3}\ min$

$Security\ B = 1\ mins, 40\ secs$

$Security\ B = 1\ mins+ 40\ secs$

$Security\ B = 1\ mins+ \frac{40}{60}\ min$

$Security\ B = 1\frac{2}{3}\ min$

So, we have:

$Security\ A = 2\frac{1}{3}\ min$

$Security\ B = 1\frac{2}{3}\ min$

List out the multiples of the time of both security personnel take round.

$Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...$

$Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...$

In the above lists, the common time is:

$Time = 11\frac{2}{3}\ min$

<em>This implies that they go on round after </em> $11\frac{2}{3}\ min$ <em></em>

4 0

3 years ago

What does this graph show<br> inverse <br>direct<br> neither

grin007 [14]

Answer:

i think the given graph is inverse

3 0

1 year ago

What will be the index of 2 for its value equal to 1/2

Art [367]

Answer:

the index of 2 is -1

Step-by-step explanation:

$2^{-1}$

= $\frac{1}{2^1}$

= $\frac{1}{2}$

3 0

2 years ago

A circle with circumference 130 has an arc with a 72°<br> angle. What is the length of the arc?

deff fn [24]

Answer:

arc = 26 units

Step-by-step explanation:

130 = 360°

(72° arc/360°)(72) = 26

4 0

2 years ago