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2 years ago

Triangle LMN is dilated by a scale factor of 2/3 to form triangle L’M’N. Side NL measures 48. What is the measure of side N’L’?

Mathematics

1 answer:

nignag [31]2 years ago

8 0

48 x 2/3 = 32. For dilation just multiply each side by the dilation factor.

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What is the length of chord XY

Sergeeva-Olga [200]

Answer:

$|XY|=18cm$

Step-by-step explanation:

Since the chord is a tangent to the smaller circle, it will meet the radius of the smaller circle at right angle.

Let $d$ be the length of half of the chord. See diagram in attachment.

Then from Pythagoras Theorem,

$d^2+12^2=15^2$

$\Rightarrow d^2+144=225$

$\Rightarrow d^2=225-144$

$\Rightarrow d^2=81$

We take the positive square root of both sides to obtain,

$d=\sqrt{81}=9$

The length of the chord is

$2d=2(9)=18cm$

The correct answer is A

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28

Effectus [21]

Answer:

Step-by-step explanation:

Given the expression ${2x^{\frac{5}{3} }-22 = 464$ , we are to find the value of x in the expression. This is as shown below;

${2x^{\frac{5}{3} }-22 = 464$

add 22 to both sides

${2x^{\frac{5}{3} }-22 = 464+22\\\\$

${2x^{5/3} =486$

divide both sides by 2

$\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243$

raise both sides to the power of 3/5

$(x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27$

Hence the value of x is 27

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3 years ago

This Question: 1 pt

Rashid [163]

Answer:

630

Step-by-step explanation:

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3 years ago

Frankie runs every third day Ryan runs every sixth day.In the next 100 days how many times will Frankie and Ryan run on the same

Papessa [141]

Answer:

16 times

Step-by-step explanation:

To find how many times Frankie and Ryan run on the same day in the next 100 days, find the common multiples of 3 days and 6 days to 100 days

Frankie (every third day) = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99.

Ryan (every sixth day) = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

Common multiples of 3 days and 6 days = 12, 18, 24, 30, 36, 42, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

Frankie and Ryan will run on the same day 16 times in the next 100 days

6 0

3 years ago