3 years ago

What value of x makes the statement (1/3) = (5/x) true?

1 answer:

8 0

1/3(5)=5/15
the numerator is 1, and since the other numerator is 5, you just need to multiply 1/3 by 5 which gives you 5/15

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X^3/x^1/6=x^a value of a in simplest form?

Afina-wow [57]

Answer: a = 17/6

Step-by-step explanation:

I will use two laws of indices to solve this question

1. x^a / x^b = x^(a-b)

2. x^a = x^b, => a = b

Using both laws

x³/x^1/6 = x^a

x^(3-1/6) = x^a

3 - 1/6 = a

a = 3 - 1/6

a = (18 - 1)/6 using LCM

a = 17/6

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3 years ago

What is the volume of a hemisphere with a radius of 3.8in, rounded to the nearest tenth of a cubic inch

Pavel [41]

Answer: $114.9\ in.^3$

Step-by-step explanation:

Given

The radius of the hemisphere is $r=3.8\ in.$

The volume of a hemisphere is given by

$V=\dfrac{2}{3}\pi r^3$

Insert the value

$V=\dfrac{2}{3}\pi \times (3.8)^3\\\\V=114.9\ in.^3$

7 0

2 years ago

What is X?<br> Please help!

vodka [1.7K]

Answer:

Step-by-step explanation:

the sum of the angles in a triangle add up to equal 180

180-73-13=94

8 0

2 years ago

Read 2 more answers

1. If <1 is 120 degrees , what is the measure of <2?

natali 33 [55]

Answer:

240

Step-by-step explanation:

2 is 1 + 1 so 120 + 120 must be the equivalent of 2.

5 0

2 years ago

What is i^84? a) -i b) i c) -1 d) 1

mariarad [96]

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

$i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1$

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

7 0

3 years ago