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3 years ago

10

Identify the pairs of corresponding angles and corresponding sides. It may help to rotate the shapes so they are facing the same

direction.

1 answer:

notka56 [123]3 years ago

6 0

They didn’t trouble to make the numbers accurate!

∠J = ∠M = 90°
∠ L = 45°
∠K = 90°+45° =135°

JK/ST = KL/UT = LM/UV = JM/VS = 5/6

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A cube has a face area of 64 square centimeters. what is the volume of the cube?

fredd [130]

The face of one side of a cube is a square shape. The formula for the area of a square
A=s² where s=side length
plug in the data we know
64cm²=s²
√64cm²=s
8cm=s

The side length on the cube is 8cm

The formula for the volume of a cube is

V=s³ where s=side length
plug in the data that we know
V=8³
V=512cm³

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Finger [1]

It is 2.56 because per pound equals the amount

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2 years ago

Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.

Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

$2^{n}>n$

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

$2^{k}>k$

---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

$\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1$

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

$2^{k}>k$

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3 years ago

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Answer:

$\pounds36$

Step-by-step explanation:

Cost of one dress = $\pounds40$

Cost of one pair of shoes = $\pounds32$

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They get half off the price because they buy both

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The shipping and handling charge is $\pounds4$ .

So, the total amount Ruth has to pay is $32+4=\pounds36$ .

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Sergio039 [100]

Answer:

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