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
olga_2 [115]
3 years ago
8

A rectangular pyramid has a volume of 160 cubic feet. Find two possible sets of measurements for the base area and height of the

pyramid.
Mathematics
1 answer:
muminat3 years ago
4 0

\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} V=160 \end{cases}\implies 160=\cfrac{Bh}{3}\implies 480=Bh \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} 480=&2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 5\\ &8\cdot 60\\ &32\cdot 15 \end{cases}~\hspace{5em}\stackrel{B}{8}\times\stackrel{h}{60}\qquad \qquad \stackrel{B}{32}\times\stackrel{h}{15}

You might be interested in
What is the slope of the line that passes through (4,-18) and (-3,3)
Phoenix [80]

Answer:

-3

Step-by-step explanation:

m= 3-(-18)=21 , -3-4=-7

m = 21 / -7 = 3 / -1 = -3

3 0
3 years ago
2) Zack ran 6 miles this weekend. How many feet did Zack run over the weekend?​
LekaFEV [45]

Answer:

zach ran 31680 feet over the weekend.

Step-by-step explanation:

1 mile = 5280, so 6 x 5280 = 31680

7 0
2 years ago
What is the number of solutions to this system?
Elis [28]
I think it’s A because they only intersect once.
6 0
2 years ago
What do all of these polygons have in common? There are four polygons labeled A, B, C and D. Each polygon has one pair of parall
mafiozo [28]

The thing that all these polygons have in common is B. Each appears to have one pair of parallel sides.

<h3>What is a polygon?</h3>

A polygon is a plane figure characterized by a finite number of straight line segments joined to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both. A polygonal circuit's segments are known as its edges or sides.

A polygon is a two-dimensional closed object with straight sides that is flat or plane. It doesn't have any curved edges. The vertices are the spots where two sides intersect.

A geometric figure has parallel sides if the distance between them does not change and the sides do not meet or cross. Parallel sides of a shape are opposing, or across from each other, and would not intersect if extended infinitely beyond the shape's boundaries.

Parallelogram, rectangles, squares, trapezoids, hexagon, and octagon are examples of shapes with parallel sides.

Learn more about polygon on:

brainly.com/question/1592456

#SPJ1

3 0
8 months ago
Cos4theta+cos2theta/ cos4theta-cos2theta= _____
vovangra [49]

\bf \textit{Sum to Product Identities} \\\\ cos(\alpha)+cos(\beta)=2cos\left(\cfrac{\alpha+\beta}{2}\right)cos\left(\cfrac{\alpha-\beta}{2}\right) \\\\\\ cos(\alpha)-cos(\beta)=-2sin\left(\cfrac{\alpha+\beta}{2}\right)sin\left(\cfrac{\alpha-\beta}{2}\right) \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \cfrac{cos(4\theta )+cos(2\theta )}{cos(4\theta )-cos(2\theta )}\implies \cfrac{2cos\left( \frac{4\theta +2\theta }{2} \right)cos\left( \frac{4\theta -2\theta }{2} \right)}{-2sin\left( \frac{4\theta +2\theta }{2} \right)sin\left( \frac{4\theta -2\theta }{2} \right)} \implies \cfrac{cos\left( \frac{6\theta }{2} \right)cos\left( \frac{2\theta }{2} \right)}{-sin\left( \frac{6\theta }{2} \right)sin\left( \frac{2\theta }{2} \right)}

\bf \cfrac{cos(3\theta )cos(\theta )}{-sin(3\theta )sin(\theta )}\implies -\cfrac{cos(3\theta )}{sin(3\theta )}\cdot \cfrac{cos(\theta )}{sin(\theta )}\implies -cot(3\theta )cot(\theta )

8 0
3 years ago
Other questions:
  • I am so lost. Please help.
    10·1 answer
  • A golf ball is hit from the ground with an initial velocity of 208 ft./s. assume the starting height of the ball is 0 feet. how
    7·1 answer
  • Find the value of x. 600x = 360000
    13·2 answers
  • The unit of money in England is the pound (£). When Anne visits England, £10 equals $13. She sees a bike rental that costs £3 pe
    6·1 answer
  • What is the slope of the line
    14·1 answer
  • Write 79,700 in scientific notation show work
    6·1 answer
  • Pls solve this math question
    5·1 answer
  • What is 90 divided by 10
    12·1 answer
  • (8 - h)(jh + jh) use h=-1 and j=5<br><br> I would do this but im kind of confused please help
    11·1 answer
  • Please help me thank you so much
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!