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artcher [175]
3 years ago
10

Solve seven square root three plus two square root nine and explain whether the answer is rational or irrational.

Mathematics
2 answers:
Leona [35]3 years ago
5 0

Answer:

Option D. is correct.

Step-by-step explanation:

Let us assume that x = seven square root three plus two square root nine  

i.e. x = 7√3 + 2√9

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

⇒ x = 7√3 + 6

Here, 7√3 is an irrational number and 6 is a rational number.

The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D. is correct.

muminat3 years ago
4 0

Answer:

Option D

Step-by-step explanation:

Rational number is a number which can be expressed in the form \frac{p}{q} where, p and q are integers. A rational number in decimal form as a terminating or repeating decimal.

An irrational number is a number that can't be expressed in the form \frac{p}{q} and have a non-repeating, non-terminating decimal.

7\sqrt{3}+2\sqrt{9}= 7\sqrt{3}+2\times3=7\sqrt{3}+6

Square root of 9 is 3 as 3^{2}=3\times 3 =9

Here, 7\sqrt{3} is an irrational number as \sqrt{3} is an irrational number. The number 6 is a rational number.

So, the sum of a rational number and irrational number is always an irrational number.

Therefore, the correct option is option D

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ivanzaharov [21]

Triangles with height h and base b, with b=h have area \dfrac{b^2}2.

Such cross sections with the base of the triangle in the disk x^2+y^2\le25 (a disk with radius 5) have base with length

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i.e. the vertical (in the x,y plane) distance between the top and bottom curves describing the circle x^2+y^2=25.

So when x=4, the cross section at that point has base

2\sqrt{25-16}=6

so that the area of the cross section would be 6^2/2 = 18.

In case it's relevant, the entire solid would have volume given by the integral

\displaystyle\int_{-5}^5\frac{b(x)^2}2\,\mathrm dx=4\int_0^5(25-x^2)\,\mathrm dx=\frac{1000}3

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3 years ago
starting from 1.4 miles away a car drives towards a speed check point and then passes it the car travels at a constant rate of 5
LenKa [72]

Answer: At t=0.015 hours when the car 0.6 miles from the check point.

Step-by-step explanation:

Since we have given that

Distance traveled by him towards a speed check point = 1.4 miles

Speed at which he is travelling = 52 miles per hour

Let the time taken by him be x

Since we have the equation

d=1.4-52t

where<em> </em><em>d</em><em> </em>denotes distance

and <em>t </em>denotes time.

If we have given that the car 0.6 miles from the check point.

So, we put the value of <em>d</em> in place of it .

0.6=1.4-52t\\\\0.6-1.4=-52t\\\\-0.8=-52t\\\\0.8=52t\\\\\frac{0.8}{52}=t\\\\0.015=t

So, at t=0.015 hours when the car 0.6 miles from the check point.

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The weight of panda bears, P, is approximately Normally distributed with a mean of 185 pounds and a standard deviation of 12.3 p
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Answer:

c

Step-by-step explanation:

3 0
3 years ago
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Bob sold 5 toaster ovens and 3 blenders for $500. if a blender is $20 less than a toaster oven, how much is a blender?
Harrizon [31]
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To explain the way I did it --
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70 - 20 = 50
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3 years ago
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Sandy charges each family that she babysits a flat fee of 10$ for the night and an extra 5$ per child kimmi charges 25$ per nigh
Rudiy27
Sandy's cost equation is y = 5x + 10 where y = cost and x = number of children.
Kimmi's cost equation is y = 25 where y = cost.
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That is found by solving 5x + 10 = 25 for x.
Subtract 10 from each side: 5x = 15
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