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vfiekz [6]
3 years ago
5

4. An isosceles triangle has sides that measure 7cm and 15cm. Find the third side of the

Mathematics
1 answer:
Advocard [28]3 years ago
8 0

Answer:

Third side is 15cm. Perimeter is 37cm.

Step-by-step explanation:

In a triangle sum of two sides is always greater than third side. Two sides of a isosceles triangle are equal.

So if the third side is 7cm

7+7=14cm which is less than 15 cm.

hence third side is 15 cm as

15+15=30cm which is greater than 7cm

15+7=22cm which is greater than 12cm

then

perimeter=15+7+15=37cm

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A gambling casino is designed in the shape of a square pyramid with a side length of 75 ft. The height of the building is 28 ft.
irakobra [83]

Answer:

Step-by-step explanation:

Given the dimension of a square pyramid

Length of pyramid

L = 75 ft

Height of pyramid

H = 28ft

The pyramid is a square base

Then,

Volume of a pyramid is calculated using

Volume = base area × height

Since base is a square, then the area of a square is

Area = L² = 75² = 5625 ft²

Then,

Volume = base Area × height

Volume = 5625 × 28

Volume = 157,500 ft³

Then, given the rate of volume to be

dV / dt = 26,250 ft³ / hr

So, we want to find the time the system will filled the air

dV / dt = 26,250

dV = 26,250 dt

Integrate both sides

∫ dV = ∫ 26,250 dt

V = 26,250t + C

When t = 0, V = 0, initially, there is not volume of system air.

Therefore C = 0

V = 26,250t

When V = 157,500 ft³

Then,

t = V / 26,250

t = 157,500 / 26,250

t = 6 hours

So, it will take 6 hours for the system to circulate the room

5 0
3 years ago
Given A = {x ∈ ℤ : 4|x} and B = {x ∈ ℤ : 2|x}. Prove A ⊆ B.
Rashid [163]

Let a ∈ A. Then a is some integer that is divisible by 4, so we can write a = 4k for some integer k.

We can simultaneously rewrite a as a = 2•2k, so 2 clearly divides a, which means a ∈ B as well.

Therefore A ⊆ B.

4 0
2 years ago
How is a kite always a quadrilateral?
sleet_krkn [62]

Answer: A kite is always a quadrilateral because quadrilaterals have 4 sides

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The following points for a function are graft in a coordinate plane: (1,2), (3,8), (4,11), and (6,17).
Yanka [14]
I don’t really know but I want to answer so I can get the account to 100%
4 0
3 years ago
20. (01.03 MC)<br> What is the simplified expression<br> ? (1 point)
ahrayia [7]

Answer:

\displaystyle 3^2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Exponential Rule [Multiplying]: \displaystyle b^m \cdot b^n = b^{m + n}
  • Exponential Rule [Dividing]: \displaystyle \frac{b^m}{b^n} = b^{m - n}

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{3^3 \cdot 3^3}{3^4}<u />

<u />

<u>Step 2: Simplify</u>

  1. [ER] Multiply:                    \displaystyle \frac{3^{3+3}}{3^4}
  2. Add Exponents:               \displaystyle \frac{3^6}{3^4}
  3. [ER] Divide:                      \displaystyle 3^{6 - 4}
  4. Subtract Exponents:       \displaystyle 3^2
4 0
3 years ago
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