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stellarik [79]
1 year ago
6

Explain why both Jenna and Mia arrived at the same answer and the advantage of one method over the other.

Mathematics
1 answer:
Lynna [10]1 year ago
4 0

Complete question :

Jenna’s method: Mia’s method: 5(30 + 4) 5(30 + 4) (5)(30) + (5)(4) 5(34) = 170 150 + 20 = 170 Explain why both Jenna and Mia arrived at the same answer and the advantage of one method over the other.

Answer:

Kindly check explanation

Step-by-step explanation:

Jenna's method :

5(30 + 4) = 5(34) = 170

Mia’s method :

5(30 + 4) :

5(30) + 5(4)

150 + 20

= 170

With both methods, we will arrive at the same answer as justified in the workings above. However, Jenna's method gives a very simple approach and less complicated arithmetic by using the distributive property to overrode some multiplication process which Mia went through in her own calculation. Therefore, Jenna's method is less complicated and requires two simple steps at obtaining the final result.

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Factorise 125x^3 -27y^3
telo118 [61]

Answer:

(5x - 3y)(25x² +15xy + 9y²)

Step-by-step explanation:

125x³ - 27y³ is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

Given

125x³ - 27y³

= (5x)³ - (3y)³

= (5x - 3y)((5x)² + (5x)(3y) + (3y)²)

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6 0
2 years ago
Given: mKP=2mIP, mIVK =120°<br> Find: m∠KJL.
anzhelika [568]

Answer:

<h2>The measure of angle KJL is 40°.</h2>

Step-by-step explanation:

Givens

m(KP)=2m(IP)

m(IVK)=120\°

Notice that

m(KP)+m(IP)+m(IVK)=360\°, by definition sum of arcs.

Replacing given values, we have

2m(IP)+m(IP)+120\°=360\°\\3m(IP)=360\° - 120\°\\m(IP)=\frac{240\°}{3}\\ m(IP)=80\°

Which means m(KP)=2(80\°)=160\°

Notice that arc KP is the subtended arc by angle KJL.

We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.

m\angle KJL = \frac{1}{2} (m(KP)-m(IP))\\m \angle KJL = \frac{1}{2}(160\° - 80\° )=\frac{1}{2}(80\°)=40\°

Therefore, the measure of angle KJL is 40°.

8 0
2 years ago
Arnav was 1.5 m tall. In the last couple of years, his height has increased by 20% percent.
BlackZzzverrR [31]

Answer: Arnav is 1.8m

Step-by-step explanation: I multiplied 1.5 by 0.20 and then added that answer to 1.5 and then I got 1.8

:D

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