Find the values of x and y. Leave answer in simplest radical form

Find The Values Of X And Y. Leave Answer In Simplest Radical Form

Answers

Answer 1

Answer:

x = 4/√2

y = 4/√2

Step-by-step explanation:

Hypotenuse = 4

θ = 45°

x = Opposite side

y = Adjacent Side

a) Solving for x = Opposite side

We solve using Trigonometry function of Sine

sin θ = Opposite/Hypotenuse

sin 45 = x/4

Cross Multiply

x = sin 45 × 4

Note that : sin 45 = 1/√2

x = 1/√2 × 4

x = 4/√2

b) Solving for y

We solve using Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

cos 45 = x/4

Cross Multiply

x = cos 45 × 4

Note that : cos 45 = 1/√2

x = 1/√2 × 4

y = 4/√2


Related Questions

What is the surface area of the cylinder with height 7 cm and radius 3 cm? Round your answer to the nearest thousandth.

Answers

Answer:

188.52cm^2

Step-by-step explanation:

Given data

Height= 7cm

Radius= 3cm

The expression for the surface area of a cylinder is given as

Surface area=  2πr (h + r)

Surface area= 2*π*3 (7 + 3)

Surface area = 6π (10)

Surface area= 60*3.142

Surface area= 188.52cm^2

Hence the surface area is 188.52cm^2

Use the expression 5(6 + 4x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)

Part B: How many terms are in each factor of this expression? (4 points)

Part C: What is the coefficient of the variable term? (2 points)

Answers

Answer:

6 and 4

Step-by-step explanation:

Answer:

Part A: 4 and x are factors of 4x

Part B: 6 and 4

Part C:  4

Step-by-step explanation:

Discover the rate of change (slope) of these two points. (-4, 5) and (5,-4).​

Answers

Answer:-1

Step-by-step explanation:

slope = y2-y1/x2-x1

Plug in all the values

-4-5/5+4

-9/9

= -1

(a) An angle measures 29°. What is the measure of its supplement?
(b) An angle measures 42°. What is the measure of its complement?

Answers

(a) 151 degrees (supplementary angles add to 180’)

(b) 48 degrees (complementary angles add to 90’)

PLZ HELP IF RIGHT THEN YOU'LL GET BRAINLIEST

One year, the population of a city was 346,000. Several years later it was 339,080. Find the percent decrease.

Answers

Answer:

2% decrease

Step-by-step explanation:

Steps to find percent decrease:

- Subtract starting value minus final value

- Divide that amount by the absolute value of the starting value

- Multiply by 100 to get percent decrease


PLEASE HELP!
*multiple choice*
List the sides in order from shortest to longest.

Answers

Answer:

I think it's a

I'm not that sure tho

Which statement is true?

Answers

D (2 and 4), vertical angles oppose eachother, and are always congruent (identical).

Answer:

I believe it is the 3rd one down

Step-by-step explanation:

Because the two angles make an angle of 180, supplementary angles make one angle of 180 and it says that 2 and 3 are alike because they make a supplementary angle and there is a line dividing them that looks like both angles = 90 degrees

determine whether the relation represents a function
16.{(-3,2). (-2, 2), (1,2). (-3.1). (0.3}}​

Answers

Answer:

No, it's not a function

Step-by-step explanation:

In a function each input has one and only one output

Here an input of -3 has two outputs 2 and 1

Comparing Perimeter and Area
Compare the perimeter and area of the original figure to
the perimeter and area of the reduced figure using the
scale factor
Which statements are true about the comparison
between the two figures? Check all that apply.
The scale factor is 2.
The scale factor is
2.
6
The perimeter of the model is the product of the
scale factor and the perimeter of the original
rectangle
The area of the reduced figure is half the area of
the original figure
1
The area of the reduced figure is
times the
3
area of the original figure,
Intro
Done

Answers

Ummmm Sorry no one can answer this without knowing the Information

what is the factor of 3x^+9x-12

Answers

Answer:

Hi, there your answer will be 3(x−1)(x+4)

Step-by-step explanation:

Find the final price of a $849.99
laptop with 6% sales tax.

Answers

Answer:

$900.9

Step-by-step explanation:

Find the final price of a $849.99

laptop with 6% sales tax.

Given data

Price= $849.99

Tax = 6%

Let us find the amount of the tax

=6/100*849.99

=0.06*849.99

=$50.9994

Now the final price is

=50.9994+849.99

=$900.9

I need help finding the slope

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-1}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1

Maria tutors history. For each hour that she tutors, she earns 20 dollars. Her earnings, E (in dollars), after tutoring for h hours is given by the following.
E=20h
How much does Maria earn if she tutors for 5 hours?

Answers

Answer:

Maria earns 100 dollars

E=100

Step-by-step explanation:

if E=20h and they want to know how much Maria will make in 5 hours substitute the h for 5. 20 x 5 =100

E=100

Answer:

100

Step-by-step explanation:

The equation is E=20h

E is the amount she earns.

20 is the amount of money she earns per hour.

h is the amount of hours she worked.

She worked 5 hours. h represents hours so plug in 5 where h is in the equation.

E=20h

E=20(5)

E= 20×5

E=100

Find the volume, in cm?, of a right circular cylinder with radius 10 cm and height 14 cm.
A. 9600x cm3
O
B. 19601 cm3
C. 14001 cm
D. 3501 cm
o
E. 140 cm

Answers

C is the best answer
Is A I did the test like rn lol

I SUCK AT MATH. HELP!!!

Answers

Sin P= 2/30

Sin of P simply means take the side opposite of angle P, and divide it by the hypotenuse (the long diagonal one.)

Sin= O/H

Cos= A/H

Tan= O/A

I suxk at math 2 so dont give up

Ms. Mackey records the number of math problems that each of her students gets correct on a math fact quiz.
The numbers of correct problems on the quizzes for the 15 students are listed below.

Answers

Answer and also explanation:

Use the drawing tool(s) to form the correct answer on the provided plot.

In order to construct a dot plot representing the number of correct problems on each student's quiz, first find the range of the data.

The maximum number of correct problems is 10. The minimum number of correct problems is 2. Therefore, the number of correct problems ranges from 2 to 10.

Next, determine how many students had each number of correct problems in the range.

No. of Correct Problems

0 1 2 3 4 5 6 7 8 9 10

No. of Students 0 0 1 1 2 0 3 2 2 2 2

The number of correct problems, from 0 to 10, will be the values on the number line. The number of students will be the number of dots above each value on the number line.

The dot plot showing the correct number of math problems for Ms. Mackey's students is shown on your question.

A man was 62 years 18 years ago. what will be his age in 6 years time

Answers

Answer:80 and a half years old

Step-by-step explanation:62+18=80 6 months=1/2 of 1 year

80+1/2 = 80 1/2 years old

he will be 86 years old

PLEASE HELP!! this is due soon and i rlly need help

explanation = brainliest

The radius of a circle is 3 kilometers. What is the area of a sector bounded by a 90° arc?
give the exact answer in simplest form.

Answers

Answer:

Step-by-step explanation:

r =  3 km

Ф = 90°

Area of a sector = [tex]\frac{theta}{360}*\pi *r^{2}[/tex]

                           [tex]= \frac{90}{360}* 3.14 * 3 * 3\\\\= \frac{3.14*3*3}{4}\\[/tex]

                           = 7.065 sq.km

Answer:

Solution given:

r=3km

area of sector bounded by a 90° arc=90°/360°*πr²

=¼*π*3²

=9/4 π or 7.068km²

is a required answer

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct?

Answers

Answer:

Helena is correct.

Step-by-step explanation:

The slope intersept form of the line is

y = m x + c

where, m is the slope and c is the intersept.

The point slope form of the equation is

[tex]y - y'= \frac{y''-y'}{x''-x'}\times (x-x')[/tex]

So, if there are two points are given, the equation of line is found by the point slope form.

So, Helena is correct.

Find the total surface area of this prism where the cross section is an isosceles triangle 5cm, 13cm, 24cm, 10cm

Answers

Answer: 620 cm2

Step-by-step explanation:

The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is:  B = 24 * 10 = 240 cm2

The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is:  C = 24 * 5 / 2 = 60 cm2

The sides are rectangles with 10 cm x 13 cm, so their area is:  D = 10 * 13 = 130 cm2

The total surface area is:  S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2

Find the distance between the two points in simplest radical form.
(7,-1) and (9,-9)

Answers

Answer:

[tex]\sqrt{68}[/tex]

Step-by-step explanation:

(7 , -1) = (x1 , y1)

(9 , -9) = (x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(9 - 7)^2 + (-9 - (-1))^2}[/tex]

=[tex]\sqrt{2^2 + (-9 + 1)^2}[/tex]

=[tex]\sqrt{4 + (-8)^2}[/tex]

=[tex]\sqrt{4 + 64}[/tex]

=[tex]\sqrt{68}[/tex]

Answer:

[tex]Distance = \sqrt{ 68 } \\\\or \\\\Distance =2 \sqrt{17}[/tex]

Step-by-step explanation:

[tex]Let \ (x_1 , y_1) = ( 7 , - 1 ) \ and \ (x_2, y _ 2 ) = ( 9 , - 9 )\\\\\\Distance = \sqrt{(x_2 - x_ 1)^2 + (y_ 2 - y_ 1)^2}\\\\[/tex]

               [tex]= \sqrt{(9 - 7)^2 + ( -9 --1)^2} \\\\=\sqrt{2^2 + ( -9 + 1)^2 }\\\\=\sqrt {4 + (-8)^2 }\\\\=\sqrt{ 4 + 64 }\\\\=\sqrt{68}\\\\= \sqrt { 4 \times 17}\\\\=\sqrt{2^2 \times 17}\\\\=2 \sqrt{17}[/tex]

f(x) = x² , g(x) = x+1 find gof (2) , fog (2)​

Answers

Answer:

Explanation:

Hey there!

Here;

f(X) = x²

and g(X) = X+1

To find: gof (2) and fog (2)

For gof (2),

gof = g{f(X)}

= g (x²)

= +1

Then;

gof(2) = 2²+1

= 4+1

= 5

Therefore, gof (2) is 5.

For fog(2),

fog (X) = f{g(X)}

= f(X+1)

= (x+1)²

= x²+2x+1

= +2x +1

Then;

fog(2) = 2²+2*2+1

= 4+4+1

= 9

Therefore, fog(2) = 9.

Hope it helps!

Helppppppp please ASAP

Answers

Ok so you do 37 divided by 12 and get 3.08 and round it to 3.1 then multiply 3.1 by 19
And your length for GH is 58.9

Calculate the measure of angle D:

Answers

Answer:

The answer is 32

Step-by-step explanation:

A right triangle has a total of 180 degrees. As they give you 58 degrees and 90 degree, you just do 180 degrees - 58 degrees - 90 degrees.

Answer: 32

Step-by-step explanation:

Subtract the angle 58 and 90 since it is a right angle

what is the result of adding -2.9a t 6.8 and 4.4a - 7.3 if a=2 what is the value of the expression

Answers

Answer:

Step-by-step explanation:

2.5

At a sale on winter clothing, Cody bought four pairs of gloves and four hats for $36.00. Tori bought three pairs of gloves and four hats for $31.00. What were the prices for the gloves and hats?​

Answers

Answer:

gloves cost $5

hats cost $4

Step-by-step explanation:

four pairs of gloves and four hats for $36.00

4g + 4h = 36

three pairs of gloves and four hats for $31.00

3g + 4h = 31

-------------------------

Subtract the second equation from the first

  4g + 4h = 36

-( 3g + 4h = 31 )

––––––––––––

   g           = 5

gloves cost $5

substitute for g = 5 into either equation

4(5) + 4h = 36

20 + 4h = 36

Subtract 20 from both sides

4h = 16

Divide both sides by 4

h = 4

hats cost $4

PLEASE HELP. URGENT!
Determine the equation of a line in slope, y-intercept form, that has a slope of -2/5 and passes through the point (-5,7)

Answers

Answer:

y = -2/5x + 5

Step-by-step explanation:

y = -2/5x + b

7 = -2/5(-5) + b

7 = 2 + b

5 = b

Simplify the expression below: (3k2 – 2k + 5) - (2k2 – 5k + 1)​

Answers

Answer:

(3k² - 2k + 5) - (2k² - 5k + 1)

k² + 3k + 4 is the answer in simplify this expression

hi pls help me out with this

Answers

A = S^2 = 12^2 = 144 m^2

15.
Which of the following equations has a graph that crosses the y-axis at a point lower than the graph of y=-2x^2-1?

A. y=-3x^2+3

B. y=-3x^2+1

C. y=3x^2-3

D. y=-3x^2-1

Answers

Answer:

C. y=3x^2-3

Step-by-step explanation:

y=3x^2-3 is lower than y=2x^2-1

So C.y=3x^2-3

The answer would be : C. -3x^2-3.

Hope this helps !

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