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2 years ago

Please help solve this problem

Mathematics

2 answers:

MAVERICK [17]2 years ago

6 0

Answer:

The correct answer is option B. 2√2

Step-by-step explanation:

It is given an expression, 3√2 - √2

Simplify the expression

The expression is 3√2 - √2

3√2 - √2 = √2(3 - 1) ( taking √2 as common)

= √2 x 2

= 2√2

Therefore the simplified form of given expression(3√2 - √2) is 2√2

The correct answer is option B. 2√2

kherson [118]2 years ago

4 0

Answer: OPTION B.

Step-by-step explanation:

The number that are inside of the square root are called "radicands".

To subtract the expressions shown in the image attached, the radicands must be the same.

As you can see, both are equal, therefore, you can subtract the numbers that are in front of the square roots.

Then, you obtain the following result:

$3\sqrt{2}-\sqrt{2}=(3-1)\sqrt{2}=2\sqrt{2}$

The answer is the option B.

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TiliK225 [7]

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Step-by-step explanation:

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2 years ago

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Vladimir [108]

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2 years ago

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A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of

Gwar [14]

$\bold{\huge{\underline{ Solution}}}$

<h3>Given :-</h3>

A marker in the center of the fairway is 150 yards away from the centre of the green
While standing on the marker and facing the green, the golfer turns 100° towards his ball
Then he peces off 30 yards to his ball

We have to find the distance between the golf ball and the center of the green .

<h3>Let's Begin :-</h3>

Let assume that the distance between the golf ball and central of green is x

Here, 

Distance between marker and centre of green is 150 yards
That is, Height = 150 yards
For facing the green , The golfer turns 100° towards his ball
That is, Angle = 100°
The golfer peces off 30 yards to his ball
That is, Base = 30 yards

According to the law of cosine :-

$\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}$

Here, a = perpendicular height
b = base
c = hypotenuse
cos theta = Angle of cosine

So, For Hypotenuse law of cosine will be :-

$\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}$

Subsitute the required values,

$\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}$

$\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}$

$\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}$

$\sf{ x^{2} = 22500 + 900 + 156.6}$

$\sf{ x^{2} = 23556.6}$

$\bold{ x = 153.48\: yards }$

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards

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1 year ago

If m angle ACB=30 and m angle A=80 , find m angle B

larisa86 [58]

Angle b=180-angleaacb-angle a
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2 years ago

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the sum of three numbers is 90. the third number is 4 times the first. the second number is 6 less than the first. what are the

igor_vitrenko [27]

Answer: 16, 10, 64

Step-by-step explanation:

64/4=16, so the 3rd number is 4x the first.

16-6=10. 6 less than the first number.

16+10+64=90.

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2 years ago