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
Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 58​-by-58 squar
Savatey [412]

Answer:

We need to find the area of the semicircles + the area of the square.

The area of a square is equal to the square of the lenght of one side.

As = L^2 = 58m^2 = 3,364 m^2

Now, each of the semicircles has a diameter of 58m, and we have that the area of a circle is equal to:

Ac = pi*(d/2)^2 = 3.14*(58m/2)^2 = 3.14(27m)^2 = 2,289.06m^2

And the area of a semicircle is half of that, so the area of each semicircle is:

a =  (2,289.06m^2)/2 = 1,144.53m^2

And we have 4 of those, so the total area of the semicircles is:

4*a = 4* 1,144.53m^2 = 4578.12m^2

Now, we need to add the area of the square 3,364 m^2 + 4578.12m^2 = 7942.12m^2

This is nothing like the provided anwer of Val, so the numbers of val may be wrong.

4 0
3 years ago
1PLSS NEED HELP.........
tatiyna

Answer: I believe it can be a right triangle

Step-by-step explanation:

7 0
2 years ago
Solve for r<br> rs / a - 3 = k
Jobisdone [24]
You can isolate r to one side of the equation by dividing by adding three, dividing by s, multiplying by a and you get:

r=a(3+k)/s
6 0
3 years ago
Y - 4 = -3 ( x - 3 )<br> rewrite in y = mx+b
evablogger [386]

Answer:  y = -3x + 13

Step-by-step explanation:

y - 4 = -3(x-3)

y - 4 = -3x + 9

y = -3x + 13

8 0
3 years ago
Read 2 more answers
The graph shows the percent of employees who take time off during one year because of colds. A company has 84408440 employees. U
Nitella [24]

(24% ÷ 100) × 8440= 2025.6

now we round 2025.6 which is 2026 employees

ANOTHER METHOD WOULD BE:

24% × 8440 = 2025.6 rounded to 2026

or 0.24 × 8440 = 2025.6 rounded to 2026

3 0
3 years ago
Other questions:
  • I need 5 6 and 8 thank you
    6·1 answer
  • -4(5x-3)+15 is equivalent to
    6·1 answer
  • You know the distance between two cities is 140 miles. What is the distance in kilometers?
    13·2 answers
  • How to solve a system with variables
    9·1 answer
  • How to solve 7+(-15)+12
    7·2 answers
  • Tanya is training a turtle for a turtle race. For every 1/6 of an hour that the turtle crawling he can travel 2/23 mile. at what
    11·1 answer
  • What is the value of x in the equation (x + 12) = (x + 14) – 3?
    15·2 answers
  • Write the Rational Expression in simplest form. <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2-x-6%7D%7B24-5x-x%5E2%7D" id="T
    12·1 answer
  • Plzz help me with my summer school work
    6·1 answer
  • How is your day<br><br>ill give brainliest​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!