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
motikmotik
3 years ago
15

Two brothers build a pyramid-shaped fort. If the fort is 8 feet wide at its base, what expression could be used to calculate the

height of the fort?
Mathematics
2 answers:
Vlada [557]3 years ago
8 0

Answer:

h=4tan\alpha

Step-by-step explanation:

We know that the base is 8 feet wide. The height of the pyramid is at the middle of this width, which forms a right triangle, with the angles formed by one side of the pyramid and the base.

Now, to find the expression of the height, we can use these given information and the trigonometric reasons. Specifically, we would use the tangent from the trigonometric reasons, because the height is the opposite leg to the angle, and the adjacent leg would be 4. So, the expression would be:

tan\alpha=\frac{opposite}{adjacent}\\ tan\alpha=\frac{h}{4}\\ h=4tan\alpha

Therefore, the expression is h=4tan\alpha

melisa1 [442]3 years ago
5 0
Answer: An expression for the height is: H = (3/64)V

To start with, we will assume that it is a square pyramid, meaning all the sides of the base are 8 feet wide.

Now, we need the formula for the volume of a square pyramid.

V = BH/3

We know the area of the base, it is 8 x 8 = 64, so we can input that.

V = 64H/3   We can multiply by 3/64 to find an expression for the height of the fort.

(3/64)V = H
You might be interested in
A rectangle has an area of 18 cm², with a perimeter of 18 cm. Find the length and breadth
pashok25 [27]

Answer:

suppose length is x

breadth is y

now,

      x.y=18

      2(x+y)= 18

x= 3

y=6

Step-by-step explanation:

6 0
3 years ago
According to the table, how many people got 8 or more hours of sleep?
zalisa [80]
I believe the answer is 17.
4 0
3 years ago
The sum of two numbers is ten. Using x to represent the smaller number, translate "the difference between twice the larger numbe
Agata [3.3K]
The larger number is 10 - x.
2(10 - x) - (-20)
20 - 2x + 20
40 - 2x
8 0
3 years ago
Please can someone explain how to work out this
wariber [46]

Answer:

T = 4B + 10C

Step-by-step explanation:

Since there are 4 doughnuts in a bag then there are 4B doughnuts in B bags

Since there are 10 doughnuts in a carton then there are 10C doughnuts in C cartons, thus summing the two quantities gives

T = 4B + 10C

6 0
3 years ago
I don’t understand this
SashulF [63]

Answer:

9 to the 5th power

Step-by-

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which scenario involves acceleration
    5·1 answer
  • What is 8+9+9+9+9+1572
    15·2 answers
  • Solve for h:<br> v = 2rh
    5·1 answer
  • OBSERVE A EQUAÇÃO DO 2 GRAU NA VARIAVEL X E RESPONDA O QUE SE PEDE
    9·1 answer
  • I need help with 2.04, 2.06 and 2.08!!
    5·1 answer
  • How do I apply the distributive property to create an equivalent expression for 7(5p - 2u + 7)
    11·1 answer
  • Need help quick and fast!
    7·1 answer
  • Use Green's Theorem to evaluate C F · dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = x + 10y3,
    12·1 answer
  • What is -4 3/4 = x - 1 1/5
    6·1 answer
  • Pls help dum answer=report<br> question in picture
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!