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kvasek [131]
3 years ago
13

The average temperature in Hawaii is about 23°C. Which of the following best describes 23°C? A. 9°C above freezing B. 23°C above

freezing C. 9°C below freezing D. 23°C below freezing
Mathematics
1 answer:
zzz [600]3 years ago
7 0
The answer is B) 23C above freezing.
0C is freezing temperature for water, that equals 32F
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In a rectangle diagonal is 5cm ,breadth is 3cm .find the area and perimeter  of the rectangle? (STEP BY STEP EXPLANATION)​
DerKrebs [107]

Answer:

The area of rectangle is 12cm² and the perimeter is 14cm.

Step-by-step explanation:

First, you have to find the length of the rectangle using Pythagoras Theorem :

a² + b² = c²

a² + 3² = 5²

a² = 5² - 3²

a² = 16

a = √16

a = 4 cm

Next, you have to find the perimeter and area of rectangle :

Perimeter = 2(length + breadth)

P = 2(4 + 3)

P = 2(7)

P = 14 cm

Area = length×breadth

A = 4×3

A = 12 cm²

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Use mathematical induction to prove that if L is a linear transformation from V to W, then L (α1v1 + α2v2 +· · ·+αnvn)= α1L (v1)
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Answer:

The proof is shown in the explanation below.

Step-by-step explanation:

Analysis:

The proof by induction focuses on n. In this case, let n = 1, and L^{1} will be a linear operator since L^{1} = L

The exercise will show that L^{n} is a linear operator on V and that L^{n+1} is also a linear operator on V. This, follows that:

L^{n+1} (av) = L(L^{m}(v_{1}+v_{2})\\                   = L(L^{m} (v_{1} + L^{m}v_{2})\\                   = L(L^{m}v_{1} + L(L^{m}v_{2})\\                   = L^{m+1}(v_{1}) + L^{m+1}(v_{2})

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C

Step-by-step explanation:

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