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2 years ago

6

What would you do to rationalize the denominator and simplify

20%7D" id="TexFormula1" title="\frac{5}{\sqrt{2} }" alt="\frac{5}{\sqrt{2} }" align="absmiddle" class="latex-formula">

2 answers:

fgiga [73]2 years ago

7 0

hope this will help you

good luck

Tanya [424]2 years ago

5 0

Answer:

(5√2) / 2

Step-by-step explanation:

Multiply

(5 / √2) * (√2 / √2) = (5√2) / 2

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A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two air

Lemur [1.5K]

Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

$\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ$

Next, we determine the value of Angle B.

$\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ$

Finally, we find b.

$\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)$

The distance between the small plane and the observation tower is 7.9km.

8 0

2 years ago

In triangle ABC, m∠ABC = (4x – 12)° and m∠ACB = (2x + 26)°. Yin says that if x = 19, the triangle must be equilateral. Is he cor

spin [16.1K]

He is not correct. If this is to be an equilateral triangle then all the angles must be the same measure. That means that 180/3 = 60°. They all have to equal 60°. If one of the angles measures 4x-12, then 4x-12=60. Solving for x, we will add 12 to both sides to get 4x=72. x here is 18. For the other angle measuring 2x+26, we would do the same. 2x+26=60. Subtract 26 from both sides to get 2x= 34 and x = 17. He was way off.

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2 years ago

Read 2 more answers

Solve. |x+5|-6=7

castortr0y [4]

Answer:

(x+5)-6=7

(x+5)=7+6

(x+5)=13

x+5=13

x=13-5

x=8

8 0

2 years ago

The distance from Tylers house to the library is 3 miles. The distance from his home to the park is 12 miles. If the three locat

Harlamova29_29 [7]

15 miles is the answer

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2 years ago

Mark is on the wrestling team. He weighs 125 pounds but wants to gain some weight. Each week

harkovskaia [24]

Answer:

8%

Step-by-step explanation:

1) create equation

y = (4)2.5 + 125

2) simplify

y = 10 + 125

y = 135

3) find difference

x = 135-125/125

x = 0.08

x = 8%

4 0

1 year ago