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spayn [35]
3 years ago
7

Solve four square root of two plus five square root of four and explain whether the answer is rational or irrational. The answer

four square root of two plus ten is irrational because the sum of a rational number and irrational number is an irrational number. The answer nine square root of six is irrational because the sum of a rational number and irrational number is an irrational number. The answer four square root of two plus ten is rational because the sum of a rational number and irrational number is a rational number. The answer nine square root of six is rational because the sum of a rational number and irrational number is a rational number.
Mathematics
2 answers:
Rina8888 [55]3 years ago
8 0

Answer:

A.The answer four square root of two plus ten is irrational because the sum of a rational number and irrational number is an irrational number.

Step-by-step explanation:

Given the question as 4√2 + 5√4 the sum is  

4√2 + 5*√4

4√2 + 5*2

4√2 + 10

Putting an irrational number in decimal form, it goes on forever without repeating.

4*√2 +10 = 4× 1.41421356237 +10

=15.6568542495----------------which irrational

Bas_tet [7]3 years ago
8 0

Answer: A).  4 to the square root of 2 + ten is irrational because the sum of a rational number and an irrational number is an irrational number

Step-by-step explanation: I took the test on FLVS

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Find the length of the curve given by ~r(t) = 1 2 cos(t 2 )~i + 1 2 sin(t 2 ) ~j + 2 5 t 5/2 ~k between t = 0 and t = 1. Simplif
xxMikexx [17]

Answer:

The length of the curve is

L ≈ 0.59501

Step-by-step explanation:

The length of a curve on an interval a ≤ t ≤ b is given as

L = Integral from a to b of √[(x')² + (y' )² + (z')²]

Where x' = dx/dt

y' = dy/dt

z' = dz/dt

Given the function r(t) = (1/2)cos(t²)i + (1/2)sin(t²)j + (2/5)t^(5/2)

We can write

x = (1/2)cos(t²)

y = (1/2)sin(t²)

z = (2/5)t^(5/2)

x' = -tsin(t²)

y' = tcos(t²)

z' = t^(3/2)

(x')² + (y')² + (z')² = [-tsin(t²)]² + [tcos(t²)]² + [t^(3/2)]²

= t²(-sin²(t²) + cos²(t²) + 1 )

................................................

But cos²(t²) + sin²(t²) = 1

=> cos²(t²) = 1 - sin²(t²)

................................................

So, we have

(x')² + (y')² + (z')² = t²[2cos²(t²)]

√[(x')² + (y')² + (z')²] = √[2t²cos²(t²)]

= (√2)tcos(t²)

Now,

L = integral of (√2)tcos(t²) from 0 to 1

= (1/√2)sin(t²) from 0 to 1

= (1/√2)[sin(1) - sin(0)]

= (1/√2)sin(1)

≈ 0.59501

8 0
3 years ago
Find the measure of
lapo4ka [179]

Answer: 33.7

Step-by-step explanation:

7 0
3 years ago
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In a parallelogram, two sides are each length 12, and the perimeter is 36, what is the length of the remaining sides?
tankabanditka [31]
P=2a+2b
P=36
a=12
36=2*12+2b
36=24+2b
36-24=2b
12=2b
b=6
So, the length of the remaining sides is 6 each.
5 0
3 years ago
What is the equation of a line passing through (-3, 7) and having a slope of -1/5?
andrey2020 [161]
Thank you for coming to Brainly with your questions!

I believe the answer is:

y = - \frac{1}{5} x + 6 \frac{1}{5}. The equation to find this is:
y - y1 = m(x - x1). So you plug in the slope for "m", the x coordinate for "x1" and the y coordinate for "y1". After you do that, it should look like this:

y - 7 = - \frac{1}{5} - 1 \frac{1}{5}. 

Then you just add 7 to both sides to get y by itself, so that is how I got the answer.

I hope this helps you! Please mark Brainliest! Lemme know if I can help you with any further questions!

-Belle

8 0
3 years ago
A point $(x, y)$ with integer coordinates is randomly selected such that $0 \le x \le 8$ and $0 \le y \le 4$. what is the probab
ahrayia [7]

Answer:

\frac{1}{3}

Step-by-step explanation:

A point (x, y) with integer coordinates is randomly selected such that 0 \le x \le 8 \:and\: $0 \le y \le 4$.

The possible pairs of (x,y) are:

(0,0),(0,1),(0,2),(0,3),(0,4)

(1,0),(1,1),(1,2),(1,3),(1,4)

(2,0),(2,1),(2,2),(2,3),(2,4)

(3,0),(3,1),(3,2),(3,3),(3,4)

(4,0),(4,1),(4,2),(4,3),(4,4)

(5,0),(5,1),(5,2),(5,3),(5,4)

(6,0),(6,1),(6,2),(6,3),(6,4)

(7,0),(7,1),(7,2),(7,3),(7,4)

(8,0),(8,1),(8,2),(8,3),(8,4)

The Total Possible Outcomes n(S)= 45

The pair (x, y) that satisfies the given condition (say event A: x + y \le 4) are:

(0,0),(0,1),(0,2),(0,3),(0,4)\\(1,0),(1,1),(1,2),(1,3)\\(2,0),(2,1),(2,2)\\(3,0),(3,1)\\(4,0)

n(A)=15

Therefore:

P(A)=\frac{n(A)}{n(S)} =\frac{15}{45} =\frac{1}{3}

5 0
4 years ago
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