41 feet to yards, express the answer as a mixed fraction

Answers

Answer 1

Answer: 13 and 2/3 yards is the answer

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How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

Answer:

$13/28$

Step-by-step explanation:

Let

x-----> the shaded area

we know that

$x+(1)/(4)+(2)/(7)=1$

Because the complete circle represent the $100\%$

and

$100\%=100/100=1$

solve for x

Multiply by $28$ both sides

$28x+7+8=28$

$28x=28-15$

$28x=13$

Divide by $28$ both sides

$x=13/28$ ----> fraction irreducible

I hope this helps you

Find all solutions to the equation.

sin x = sqrt(3)/2

Answers

Answer:

$x=(\pi)/(3) and x=(2\pi)/(3)$

Step-by-step explanation:

We are given that $sin x=(\sqrt3)/(2)$

We have to find all solutions of the given equation

We know that $sin (\pi)/(3) =sin60^(\circ)=(\sqrt3)/(2)$

sin x is positive then the value of sin x will lie in I quadrant and II quadrant.The value of sin x is negative in III and IV quadrant .

We are given that sin x is positive then the solution will lie in I and II quadrant only.Therefore, the solution of sin x will not lie in III and IV quadrant .

$sin x =sin (\pi)/(3)$ ...(I equation )and $sin x =sin(\pi-(\pi)/(3))$ ...(II equation)

In II quadrant $\theta$ change into $(\pi-\theta )$

Cancel sin on both side of equation I

Then, we get

$x=(\pi)/(3)$

$sin x =sin ((3\pi-\pi)/(3))$

$sin x =sin (2\pi)/(3)$ ...(II equation )

Cancel sin on both side of equation II

Then we get

$x=(2\pi)/(3)$

Hence, the solutions of equation are

$x=(\pi)/(3) and x=(2\pi)/(3)$

The solutions of the equation are:

x = 60 degrees

x = 120 degrees

x = 420 degrees

x = 480 degrees, and so on.

We have,

The solutions to the equation sin(x) = √3/2 are any angles where the sine of the angle is equal to √3/2.

So,

sin 60 = √3/2

sin 120 = sin (π - 60) = sin 60 = √3/2

In trigonometry 180 is written as π.

Since (π - 60) is in the secondquadrant sin 60 is positive.

sin 420 = sin (360 + 60) = sin 60 = √3/2

In trigonometry 360 is written as 2π.

Since (2π + 60) is in the Firstquadrant sin 60 is positive.

Similarly,

sin 480 = sin (2π + 120) = sin 120 = sin (π - 60) = sin 60 = √3/2

Thus,

The solutions of the equation are:

x = 60 degrees

x = 120 degrees

x = 420 degrees

x = 480 degrees, and so on.

Learn more about solutionsofequations here:

brainly.com/question/545403

#SPJ6

Geometry question pls help

Answers

Answer:

25π/6 yd

Step-by-step explanation:

∠DCE = 110°, so arc DFE = 360° − 110° = 250°.

In radians, that's 250° × π/180° = 25π/18.

Arc length is:

s = rθ

s = (3 yd) (25π/18)

s = 25π/6 yd

Luis has a biweekly gross pay of $770 and claims 2 federal withholding allowances. Luis has all of the following deductions from his gross pay:HEEEEEEEELLLP ASAAP! PLZZZZ

Answers

Answer:

the answer is D

Step-by-step explanation:

took the test

Multiply the gross pay by 26 to receive the annual pay which would be $770*26=$20,020. The payer claims 2 allowances, so you take $4,050 and multiply it by 2 and get a $8,100 annual pay deduction.

I hope this helps, feel free to ask anymore questions!

What is 1/2 × 2/3?I really need help and someone please show me in step i dont understand how to do it

Answers

Hi there! All you do is regular multiplication. 1*2=2 and 2*3=6, if you combine 2 and 6 the fraction would be 2/6. We divide 2/6 by 2, 2÷2=1 and 6÷2=3, which is 1/3. Bascially 2/6 simplified is 1/3. Therefore, your answer is 1/3.

Hey, AbbyRoss232!
Hi, I see you need help with multiplying fractions. I will try my best to help you, and hopefully, you will be excellent at it!

1*2=2
2*3=6
2/6 and that can be simplified as 1/3!
I divided the numerator and denominator by 2 and got 1/3.

In XYZ, a right angled triangle, Z=90 degrees. Given that X=58 degrees, and XZ is 4.9m, find the length of XY