What is 1/3(2/5-2/3w) in expanded form

Cam's tent (shown below) is a triangular prism. Find the surface area, including the floor, of his tent.

SVEN [57.7K]

The surface area of the tent is 21.4 m²

Step-by-step explanation:

To find the surface area of a prism you must calculate:

1. The perimeter of the base

2. The area of the base

3. The height of the prism

We have a triangular prism:

Its base is an equilateral triangle of side length 2 m and height 1.7 m

The height of the prism is 3 m

∵ The surface are of the prism is:

S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the equilateral triangle = 3 × length of a side

∵ The length of the side = 2 m

∴ The perimeter of the base = 3 × 2 = 6 m

∵ The area of the triangle = $\frac{1}{2}$ × base × height

∵ The length of the base of the triangle = 2 m

∵ The height of the triangle = 1.7 m

∴ The area of the base = $\frac{1}{2}$ × 2 × 1.7 = 1.7 m²

∵ S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the base = 6 m

∵ The area of the base = 1.7 m²

∵ The height of the prism = 3 m

∴ S.A = 6 × 3 + 2 × 1.7

∴ S.A = 18 + 3.4

∴ S.A = 21.4 m²

The surface area of the tent is 21.4 m²

Learn more:

You can learn more about surface area of a solid in brainly.com/question/12613605

#LearnwithBrainly

3 0

3 years ago

Read 2 more answers

Need help on this math pls points and brainlest Math angles

iVinArrow [24]

Answer:

x = 28

m<ABC = 57°

Step-by-step explanation:

✔️(2x + 1)° + 33° = 90° (complementary angles)

Solve for x

2x + 1 + 33 = 90

Add like terms

2x + 34 = 90

2x = 90 - 34 (subtraction property of equality)

2x = 56

Divide both sides by 2

x = 28

✔️m<ABC = 2x + 1

Plug in the value of x

m<ABC = 2(28) + 1

= 56 + 1

m<ABC = 57°

5 0

3 years ago

Read 2 more answers

Determine what type of model best fits the given situation:

kondaur [170]

Answer:

Ok, i will suppose the situation that:

The rocket has a constant speed S (So the acceleration of the rocket is equal in magnitude, but opposite in direction, to the gravitational acceleration)

Here we can remember that:

Velocity = distance/time.

Then if the distance is the height of the rocket, we can write this as:

H = velocity*time

h = S*t

This is a linear model that represents the height of the rocket as a function of time.

Case 2:

The rocket is fired with an initial velocity v0, but no acceleration:

In this case the only acceleration acting on the rocket is the gravitatonal acceleration pulling the rocket down, so the acceleration is:

a = -g

To get the velocity as a function of time, we should integrate:

a = -g*t + v0

To get the height as a function of time, we integrate again:

h(t) = (-g/2)*t^2 + v0*t + p0

Where p0 is the initial position of te rocket, but the rocket starts at the ground, so p0 = 0m.

The height as a function of time is:

h(t) = (-g/2)*t^2 + v0*t

This is a quadratic equation.

8 0

3 years ago

Select the statement that indicates that the triangles in each pair are congruent.<br> 50 points

lubasha [3.4K]

Answer:

D. ∆XVW ≅ ∆XBC

Step-by-step explanation:

Angle X = Angle X (vertical angles are congruent)

Angle V = angle B (corresponding angles are congruent)

Angle W = angle C (corresponding angles are congruent)

The three angels in ∆XVW are congruent to the three corresponding angles in ∆XBC.

Therefore, the statement that indicates both triangles are congruent is:

∆XVW ≅ ∆XBC

4 0

3 years ago

951/3 i dot know because it is to hard

Butoxors [25]

Answer:

317

Step-by-step explanation:

951/ 3 is 317

for this problem you can use a calculator, or long division.

4 0

3 years ago