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1 year ago

Is -2 + √3 rational or irrational?explain why.

Mathematics

1 answer:

andrey2020 [161]1 year ago

3 0

Answer:

It is irrational

Step-by-step explanation:

Let us assume that 2+√3 is a rational number.

A rational number can be written in the form of p/q.

2+√3=p/q

√3=p/q-2

√3=(p-2q)/q

p,q are integers then (p-2q)/q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So, our assumption is false.

Therefore,2+√3 is an irrational number.

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Find the value of x

Monica [59]

X= 130°

Step-by-step explanation:

From E, draw EF || AB || CD.

Now, EF || CD and CE is the transversal.

So; <DCE + <CEF = 180° [co. int. <s]

x° + <CEF = 180°

<CEF = (180° – x°).

Again, EF || AB and AE is the transversal.

So; <BAE + <AEF = 180° 01 [co. int. <s ]

105° + <AEC+ <CEF = 180°

105° +25° + (180° – x°) = 180°

x° = 130°

I hope I helped you^_^

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2 years ago

Morgan's electronic car has a speed of 35.2 feet per second. How fast can the car travel in miles per hour?

ale4655 [162]

Answer:

2112 minutes OR 126720 Seconds

Step-by-step explanation:

35.2 = 1

? = 3600

I hope this helps

7 0

2 years ago

A triangle has an area of 24 square units. Its height is 6 units.

devlian [24]

Area of triangle=1/2 times base times height
given that area=24 and height=6
24=1/2 times base times 6
24=1/2 times 6 times base
24=3 times base
divide both sides by 3
8=base
the base is 8 units long

4 0

2 years ago

Read 2 more answers

A pine cone drops from a tree branch that is 36 feet above the ground. The function h = –16t2 + 36 is used. If the height h of t

scoray [572]

Notice that the height of the pine cone when it hits the ground is zero. So, to find the tame it takes for the pine cone to hit the ground, we just need to replace the height, $h$ , with 0 in the function, and solve for time $t$ :
$h=-16t^2+36$
$0=-16t^2+36$
$-36=-16t^2$
$t^2= \frac{-36}{-16}$
$t^2= \frac{9}{4}$
$t=(+/-) \sqrt{ \frac{9}{4} }$
$t=(+/-) \frac{3}{2}$
$t=(+/-)1.5$
Since time cannot be negative, the solution is $t=1.5$ seconds.

Since 1.5 second is significantly less than 2 seconds, we can conclude that 2 seconds is not a reasonable answer to this model.

6 0

2 years ago

Read 2 more answers

A volleyball has a radius of 9 inches. What is the exact value of the volume of the ball?

irakobra [83]

Hello!

to solve this problem, use the following equation

(4/3(3.141593))(9^3) = 3053.628059

so your final answer is:
the volume of the volleyball is 3053.628059

I hope this helps, and have a nice day.

4 0

2 years ago