What is the sqaure root of 45n^5? In Radical Form.

Mathematics

2 answers:

laila [671]3 years ago

7 0

<span>45n^(5/2) is the answer

</span>

Vladimir [108]3 years ago

7 0

45 has to be broken into a perfect part and a non perfect part do 9 * 5 = 45 and then the variables also need to be separated n^5 would be n^4 * n
the sqrt of 9 = 3 and the sqrt of n^4 = n^2
3n^2 sqrt5n would be the final answer

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rewona [7]

X = 5/3 and m∠SPY = 8 1/3°.

Since PQ bisects the angle, the two angles formed by the bisector are equal:

11/2x - 5 = 4x - 5/2

We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5

Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5

Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5

Divide both sides by 3:
3x/3 = 5/3
x = 5/3

Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:

11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2

We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°

3 0

3 years ago

Please answer the question

Dominik [7]

Can't see it the equation is to blurry.

5 0

3 years ago

Find the length of side x I simplest radical form

alekssr [168]

Answer:

Option A

Step-by-step explanation:

By applying Pythagoras theorem in ΔABC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

AC² = AB² + BC²

AC² = 6² + 5²

AC = $\sqrt{61}$

Similarly, by applying Pythagoras theorem in ΔACD,

AD² = AC² + CD²

(10)² = $(\sqrt{61})^2$ + x²

x² = 100- 61

x² = 39

x = √(39)

Option A will be the answer.

7 0

3 years ago

Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$