MATHEMATICS COLLEGE

Find the length of side
x in simplest radical form with a rational denominator.
Find the length of side x in simplest radical form - 1

Answers

Answer 1
Answer:

The length of sides x in the simplest radical form is 2√2

Properties of a right angled triangle:

  • One of the angle is equals to 90 degree.
  • The sides can be found using Pythagoras theorem
  • Trigonometric ratios can be used to find the angles.

Let's find x using trigonometric ratios

sin ∅ = opposite / hypotenuse

Therefore,

sin 30° = √2 / x

x sin 30° = √2

x = √2 / sin 30°

x = (√(2) )/((1)/(2) )

x = √(2) × 2

x = 2√2

learn more on right angle triangle: brainly.com/question/15948053?referrer=searchResults

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Please help me! Determine the area

How to compute the area of a circle

Answers

Answer:

A = \pi r^2

Step-by-step explanation:

Area of a circle =

\pi * r^2\n\n=\pi r^2

Area of a circle can also be calculated with ;

1. Using Radius to Find Area

2. Calculating Area from the Diameter

3. Using Circumference to Calculate Area

4. Finding Area from a Sector of the circle.

Complete the following proof

Answers

Answer:

Step-by-step explanation:

statment/reason

1) HK≅JK / given (S)

2) IK bisects ∠HKJ / given

3) ∠3≅∠4 / angle bisectors form congruent angles (A)

4) HK≅JK / given

5) IK ≅IK / reflexive propriety (S)

6) ΔIHK≅ΔIJK / SAS theorem of congruency

7) ∠1≅∠2 / corsponding parts of congruent Δs are ≅

8) IK bisects ∠HIJ / angle bisectors form congruent angles

The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:

Answers

The answer is 5.87x10^14 this is because when you multiply 5870000000000 times 100 you get 5.87x10^14

Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.The question is on the screenshot.

RULE 1: Do not answer just for points because that's just mean

Answers

Answer:

i know this isnt suppose to be here or any of that but this needs to be stop any where...ok now that i have your attention everyone needs to know this people all over the world are burning bibles LETS STOP THIS because that is so disrepecful that people are doing that to the bible and thats hurting jesus and gods heart LETS STOP THIS BURNING BIBLE STUFF pls copy and paste this and share the word so we can stop this.

Step-by-step explanation:

Mr. Gaines is catering his company picnic. He will pay $18.45 for 3 people to eat the barbecue lunch. At this rate, how many people can Mr. Gaines afford to feed on a budget of $1850.00? (Sentence) *1 point
Captionless Image

Answers

Price of lunch of each, P = $ 18.45/3 = $ 6.15 .

Now, number of people that can eat the barbecue at a budget of $1850.00 is:

n=(1850)/(6.15)\n\nn=300.81

Therefore, Mr. Gaines afford maximum 300 people to feed on a budget of $1850.00 .

Hence, this is the required solution.

Quinton had a gross income of $2741.67 during each pay period in 2009. If he got paid monthly, how much of his pay was deducted for FICA in 2009?

Answers

Answer:

$2,516.85

Step-by-step explanation:

Quinton had a monthly gross income of $2741.67.

He was paid yearly = $2741.67 × 12 = $32,900.04

FICA tax  is social security tax (6.2%) and medicare tax (1.45%)

FICA tax rate = 6.2% + 1.45% = 7.65%

FICA tax deduction = 7.65% × 32,900.04

                                 = 0.0765 × 32,900.04

                                 = $2,516.85

His pay was deducted for FICA $2,516.85

Answer:

$2516.85

Step-by-step explanation:

a p e x
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