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mojhsa [17]
2 years ago
11

What is the surface area of the triangular prism shown? A triangular prism. The triangle faces have base 14 meters and height 24

meters. The rectangular bottom has dimensions 10 meters by 14 meters. The height of the prism is 25 meters.
Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
3 0

Answer:

1064 m²

Step-by-step explanation:

The surface area of the prism can be gotten by saying

14 * 14 + 14 * 14 + 14 * 24 =

196 + 196 + 336 =

728 m²

Again, after dealing with the rectangle, we then face the triangle.

Area of triangle is

1/2 * 14 * 24

There are 2 triangles so this makes it

2 * 1/2 * 14 * 24 =

336

The surface area is finally

336 + 728 = 1064 m²

Surface area of the triangular prism has been calculated to be 1064 m²

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vredina [299]

angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

What in mathematics is a parallelogram?

  • A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal).
  • A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

Slope Formula: y2-y1/x2-x1

KL: 12-7/6-2 = 5/4

LM; 13-12/13-6 = 1/7

MN: 8-13/9-13 = 5/4

KN: 7-8/9-2 = 1/7

Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

Learn more about parallelogram

brainly.com/question/19187448

#SPJ9

8 0
11 months ago
Given z^3 = 3 + square root 3i which letter represents z
Marianna [84]

The expression that represents the value of z is \sqrt[3]{3 + i\sqrt 3 }

<h3>What are complex numbers?</h3>

Complex numbers are numbers that have real and imaginary parts

A complex number (n) is represented as:

n = a + bi

From the above expression, we have:

  • a represents the real part
  • bi represents the imaginary part

Given that:

z^3 = 3 + \sqrt 3 i

Rewrite the above expression as:

z^3 = 3 + i\sqrt 3

Take the cube roots of both sides

z = \sqrt[3]{3 + i\sqrt 3 }

The letters are not given.

Hence, the expression that represents the value of z is \sqrt[3]{3 + i\sqrt 3 }

Read more about complex numbers at:

brainly.com/question/11089283

8 0
2 years ago
1. The number of rabbits on an island is increasing exponentially.
Zina [86]

Answer:

<em>There are approximately 114 rabbits in the year 10</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given two measurements of the population of rabbits on an island.

In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

50=P_o(1+r)^1

50=P_o(1+r)\qquad\qquad[1]

72=P_o(1+r)^5\qquad\qquad[2]

Dividing [2] by [1]:

\displaystyle \frac{72}{50}=(1+r)^{5-1}=(1+r)^{4}

Solving for r:

\displaystyle r=\sqrt[4]{\frac{72}{50}}-1

Calculating:

r=0.095445

From [1], solve for Po:

\displaystyle P_o=\frac{72}{(1+r)^5}

\displaystyle P_o=\frac{72}{(1.095445)^5}

P_o=45.64355

The model can be written now as:

P=45.64355(1.095445)^t

In year t=10, the population of rabbits is:

P=45.64355(1.095445)^{10}

P = 113.6

P\approx 114

There are approximately 114 rabbits in the year 10

5 0
2 years ago
If Mrs. Ramsey divides 5 pounds of flour equally into three bowls, what is the weight of flour in one bowl? A) 3 5 pound Elimina
Mariulka [41]
Hi there!

The key in the question is "divide". Therefore, we divide 5 by 3

5/3=1.6 pounds

I don't think any of these are right.

3 0
2 years ago
Read 2 more answers
Circle A has a center of (4,6) and a radius of 5, and circle B has a center of (1,0) and a radius of 15. What steps will help sh
AlekseyPX

For me, this is a strange question...

Any two circles are similar.

Step-by-step explanation:

<em>When two figures are similar, they have the same shape, and the ratios of the lengths of their corresponding sides (segments) are equal.</em>

Two circles have the same shape.

The radiuses are corresponding segments and the diameters are corresponding segments. The ratio of lengths radiuses and diameters are equal.

If you want calculate it, then.

Circle A: r₁ = 5, d₁ = (2)(5) = 10

Circle B: r₂ = 15, d₂ = (2)(15) = 30

r₂/r₁ = 15/5 = 3

d₂/d₁ = 30/10 = 3

r₂/r₁ = d₂/d₁

8 0
2 years ago
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