1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lys-0071 [83]
3 years ago
6

A trapeziodal pyramid has a volume 2856insquared the height of the pyramid is 24in and the lengths of the 2 two bases of the tra

peziodal base are 13 and 29 in what is the height of the trapeziodal base
Mathematics
1 answer:
zalisa [80]3 years ago
8 0
V = 1/3Bh
B = 1/2(b1 + b2)t

V = 1/3[1/2(b1 + b2)t] * h
h = 24
b1 = 13
b2 = 29
t = ?
V = 2856

Substitute:
2856 = 1/3[1/2(13 + 29)t](24)
2856 = 1/6(42)(24)t
2856 = 7(24)t
2856 = 168t
t = 2856/168 = 17 in height of the trapeziod
You might be interested in
Write the Point Slope Form of the line of slope 5 and passing through the point (1, -1)​
Otrada [13]

Answer: y+1 = 5(x-1)

Step-by-step explanation:

6 0
3 years ago
a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu
Hunter-Best [27]
What you need to look for is \frac { dr }{ dt } when r=8.

Now:

Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }

\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr }  } =\frac { 1 }{ 4\pi { r }^{ 2 } }

And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi  }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi  }{ \pi  } \cdot \frac { 1 }{ { r }^{ 2 } }

\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec
3 0
3 years ago
Solve the equation -x/6greaterthanequalto3
enot [183]

Answer (depending if the fraction is positive or negative):

  1. x ≥ 18
  2. x ≤ -18

Step-by-step explanation:

If the fraction is positive:

  1. Write it out: \frac{x}{6} \geq 3  
  2. Multiply each side by 6 to cancel out the 6 under x. It should now look like this: x ≥ 18

If the fraction is negative:

  1. Write it out: -\frac{x}{6} \geq 3  
  2. Multiply each side by -6 to cancel out the -6 under x. It should now look like this: x ≤ -18

I hope this helps!

3 0
3 years ago
Factor completely: 16x2 − 81 A. (4x + 9) (4x − 9) B. 16x2 − 81 C. (4x + 9) (4x + 9) D. (4x2 + 9) (4x2 − 9)
ch4aika [34]

Answer:

A. (4x + 9) (4x − 9) is the correct answer.


6 0
3 years ago
The slope of the line x+10=y
dsp73

Answer:

The slope of the line is 1.

Step-by-step explanation:

The equation is written in slope intercept form. ( y=mx+b). The variable m represents the slope of the line. Due to the fact there is no number in front of the x variable, that tells us that the slope is just 1.

6 0
3 years ago
Other questions:
  • What is the value of x? <br><br>A. 125<br>B. 40<br>C. 75<br>D. 55
    14·2 answers
  • Which expression is equivalent to 6a + 15?
    8·1 answer
  • A telescope costs $79.99 but is on sale for 15% off. THe sales tax rate is 6.5%. How much will you pay?
    12·2 answers
  • Answer please thanks for answer ​
    13·1 answer
  • Amir arranged 9 photos on a bulletin board. He put the photos in rows. Each row contains the same number of photos. How many pho
    6·2 answers
  • The surface area of a rectangular prism is 208 cm. Two of the dimensions are 2cm and 10 cm. Find the measure of the other dimens
    14·1 answer
  • PLEASE HELP ASAP I DONT GET SOMEONE PLEASE EXPLAIN TOO!!!
    6·2 answers
  • Which is greater 3.75 3.750
    7·1 answer
  • Any one know what to do
    11·1 answer
  • ***WORTH 60 POINTS*** solve for y if x = 5 . [y = -7x -6]
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!