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Savatey [412]
3 years ago
15

The height of a square pyramid-shaped gift box is one half the length of

Mathematics
1 answer:
Schach [20]3 years ago
5 0

Answer:

15 inches

Step-by-step explanation:

Volume of a squre based pyramid :

V = a²(h/3)

a = base edge ; h = height

h =1/2 a

V = 4500

4500 = a² * (1/2a) ÷ 3

4500 = a² * a/2 * 1/3

4500 = a³/2 * 1/3

4500 = a³ / 6

27000 = a³

27000 = a³

Take the cube root of both sides

(27000)⅓ = a

30 = a

Recall:

h = 1/2a

h = 1/2(30)

h = 15 inches

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Estimate the student's walking pace, in steps per minute, at 3:20 p.m. by averaging the slopes of two secant lines from part (a)
ehidna [41]

This question is incomplete, the complete question is;

A student bought a smart-watch that tracks the number of steps she walks throughout the day. The table shows the number of steps recorded (t) minutes after 3:00 pm on the first day she wore the watch.

t (min)       0          10          20         30         40

Steps   3,288    4,659    5,522    6,686    7,128

a) Find the slopes of the secant lines corresponding to the given intervals of t.

1) [ 0, 40 ]

11) [ 10, 20 ]

111) [ 20, 30 ]

b) Estimate the student's walking pace, in steps per minute, at 3:20 pm by averaging the slopes of two secant lines from part (a). (Round your answer to the nearest integer.)

Answer:

a)

1) for [ 0, 40 ], slope is 96

11) for [ 10, 20 ],  slope is 86.3

111) for  [ 20, 30 ], slope is 116.4

b) the student's walking pace is 101 per min

Step-by-step explanation:

Given the data in the question;

t (min)       0          10          20         30         40

Steps   3,288    4,659    5,522    6,686    7,128

SLOPE OF SECANT LINES

1) [ 0, 40 ]

slope =  ( 7,128 - 3,288 ) / ( 40 - 0

= 3840 / 40 = 96

Hence slope is 96

11)  [ 10, 20 ]

slope = ( 5,522 - 4,659 ) / ( 20 - 10 )

= 863 / 10 = 86.3

Hence slope is 86.3

111)  [ 20, 30 ]

slope = ( 6,686 - 5,522 ) / ( 30 - 20 )

= 1164 / 10 = 116.4

Hence slope is 116.4

b)

Estimate the student's walking pace, in steps per minute, at 3:20 pm by averaging the slopes of two secant lines from part .

Since this is recorded after 3:00 pm

{ 3:20 - 3:00 = 20 }

so t = 20 min

so by average;

we have ( [ 10, 20 ] + [ 20, 30 ] ) /2

⇒ ( 86.3 + 116.4 ) / 2

= 202.7 /2

= 101.35 ≈ 101

Therefore, the student's walking pace is 101 per minutes

3 0
3 years ago
The graph shows which inequality???
Andreyy89
Try this option:
1. according to the line on the graph x≥0 and x<9.
2. in answers a;b;c;d;e x<0, only in answer f. √x<3, x>0. It means, that answer 'f' is correct.

answer: f.
7 0
2 years ago
Devin has a new cell phone that holds 1.5 gigabytes of memory
stepan [7]

He has enough memory space to download a song that will use 0.12 gigabytes of memory

The memory capacity of new cell phone = 1.5 gigabytes

The memory capacity that already used = 1.35 gigabytes

The remaining space = The memory capacity of new cell phone  - The memory capacity that already used

Substitute the values in the equation

Here we have to use the subtraction

The remaining space = 1.5 - 1.35

Subtract the terms

= 0.15 gigabytes

The size of the song = 0.12 gigabytes

We know 0.15 > 0.12

Hence, he has enough memory space to download a song that will use 0.12 gigabytes  of memory

The complete question is

Devin has a new cell phone that holds 1.5 gigabytes if memory for music. He has already used 1.35 gigabytes of the memory. Will he have enough space to download a song that will use 0.12 gigabyte of memory? Explain.

Learn more about subtraction here

brainly.com/question/2346316

#SPJ1

5 0
1 year ago
Se pot aduce fracțiile la același numitor prin simplificare?
Vlad [161]
Can you please put this question in english

8 0
3 years ago
8+12w-17w+w+(29)=19 <br><br> also<br> -1 = 4a+5/7
Hatshy [7]
I found this website to solve equations and i typed yours in.

8 0
3 years ago
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