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

Plz help ill give u brainlyest.

Also anser a and b

Answers

Answer:

A) 4/7 feet

B) 4/7 x 15 = 60/7 or [tex]8\frac{4}{7}[/tex]

what is the height of this triangle?

Answers

Answer:

XY (height) is approximately 20.8 feet

Step-by-step explanation:

let h = XY

tan60° = h/12

h = 12·tan60°

h = 20.78 ft

Kelly is creating lemonade by mixing 3 parts lemon juice with 2 parts sugar. If she uses 3
cups of sugar, how many cups of lemon juice does she use?

Answers

Answer:

lemon juice : parts sugar

3 :2

? :3

3/2 × 3 = 4,5 cups of lemon

Answer:

4.5

Step-by-step explanation:

the ratio of lemon juice to parts sugar is 3:2.  to convert into cups, it turns into ?:3. to turn 2 into 3, you multiply by 1.5, so you have to do the same to 3, to get 4.5, 3:2 is equal to 4.5:3 so kelly would have to use 4.5 cups of lemon juice.

A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many liters is that? Solve this problem in the math section

Answers

Answer:

24000 cm³ or 24 L

Step-by-step explanation:

The measure of a tank is 30 cm by 20 cm by 40 cm.

We need to find the volume of water in the tank when it is full.

Volum = 30 cm × 20 cm × 40 cm

= 24000 cm³

1 cm³ = 1 ml

24000 cm³ = 24000 mL

Also, 1 cm³ = 0.001 ml

24000 cm³ = 24 L

Hence, this is the required solution.

PLSS HELP ASAP WILL GIVE BRAINLIEST

Answers

Answer:

R (3,-2) S(5,2) T(6,0)

Step-by-step explanation:

Please help!find x and y

Answers

x=6

y=9

Hope it helps you...

X is 6 and y is 9.
This is the answer.

pls help middle school math

Answers

Given ,

5<x<10 and 8<y<19

For y-x,

8-5<y-x<19-10

3<y-x<9

A company bought a piece of machinery for $16 200. In the first it depreciated 15%, and in the second year 10%. How much was it worth when two years old?

Answers

It’s is 69% because I know that I’m going to help you

2. Illustrate using a Venn diagram the union and intersection of the following event. Given event A are
numbers which are multiples of 3 between 1 and 40 and event B are even numbers from 10 to 30.​

Answers

Answer:

A intersection B = {12,18,24,30}

Step-by-step explanation:

A ={3,6,9,12,15,18,21,24,27,30,33,36,39}

B ={10,12,14,16,18,20,22,24,26,28,30}

Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Answers

Answer:

The triangles are congruent by congruency theorem SAS.

Step-by-step explanation:

Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.

Q. Mohammed calculated the volume of the prism as 240 cm3. Is he correct? *
a- yes
b- no

Answers

Answer:

I gues s it s yes. if correct brainlest answer pla..

Answer:

No

Step-by-step explanation:

The formula for a triangular prism is

[tex] \frac{1}{2} a \times h[/tex]

where a is the area of the triangle.

The area of a triangle is

[tex] \frac{4 \times 5}{2} = 10[/tex]

so the volume is

[tex]10 \times 12 = 120[/tex]

Lemont answered 6 out of 40 questions on a
test incorrectly. What percentage of the
questions did he answer correctly?

Answers

Answer:

85%

Step-by-step explanation:

(40 - 6)/40 * 100%

34/40 * 100%

85%

Bank A charges a monthly service fee of $2.00 and a per-check fee of $0.05, while Bank B charges a monthly service fee of $1.50 and a per-check fee of $0.10. Which of these numbers of monthly checks will cause Bank A to charge less in fees than bank B?

A. 10

B. 11

C. 8

D. 9

Answers

Answer:

The 11th check

Step-by-step explanation:

Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.

Answers

£35 X 12(months) = £420 per year he saves.
$420

12 months in a year
$35 dollars a month
35 times 12 = 420

Hope this helps ;)

any flvs algebra students wanna help me out? :')

Answers

34.5 is correct because

Those who are math geniuses, please help, this is timed T-T
I will mark brainliest for the best answer!

Answers

Answer:

Top box: Endpoint

Bottom box: Ray

Step-by-step explanation:

Assuming that the top box is supposed to be for the point shared by both rays, then it is a endpoint of the rays, as the lines do not continue past the point on the opposite side.

The bottom box will then be a ray, as no point is shown, and a arrow is used at the "end" of the line to signify that it will continue on forever.

~

2.
Find the value of x. If necessary, round to the nearest tenth.


A. 13.7 in.

B. 11.7 in.

C. 9.7 in.

D. 6.9 in.

Answers

Answer:

A

Step-by-step explanation:

13.7

Answer is
The answer is A:13.7

Watch rep
Given the definitions of f(x) and g(x) below, find the value of (fºg)(-8).
f(x) = x² – 3x – 12
g(x) = -x - 12
Submit Answer
Answer:
attempt 1 out of
O

Answers

Answer:

The value of [tex]f\,\circ\,g(-8)[/tex] is 16.

Step-by-step explanation:

The composition consist: in replacing the independent variable ([tex]x[/tex]) of [tex]f(x)[/tex] by [tex]g(x)[/tex]:

[tex]f(x) = x^{2}-3\cdot x -12[/tex] (1)

[tex]g(x) = -x-12[/tex] (2)

[tex]f\,\circ\,g (x) = (-x-12)^{2} - 3\cdot (-x-12) -12[/tex] (3)

[tex]f\,\circ\,g(x) = (x^{2}+24\cdot x + 144) +(3\cdot x +36) - 12[/tex]

[tex]f\,\circ\,g(x) = x^{2} +27\cdot x +168[/tex]

[tex]f\,\circ g(-8) = (-8)^{2}+27\cdot (-8) +168[/tex]

[tex]f\,\circ\,g(-8) = 16[/tex]

The value of [tex]f\,\circ\,g(-8)[/tex] is 16.

what is the answer to
3 + 2x = -6x + 4

Answers

Answer:

if you are looking to solve for x the answer is

[tex] \frac{1}{8}[/tex]

Step-by-step explanation:

first you need to gather all the variables (x) to one side of the equation so take right hand side:

2x + 6x = 4 - 3

remember to watch out for the sign changes. then:

[tex]8x = 1[/tex]

therefore

[tex]x = \frac{1}{8}[/tex]

When Alissa was 5 years old, she started collecting pennies. She collects an average of 24 pennies per week . How many pennies can she collect in 27 week?

Answers

Answer:

Step-by-step explanation:

648 I think

Simplify the expressions.showing express your answers with positive exponents

Answers

(2x^2)^3

Step 1: Rewrite (to help understand the problem)

(2x^2) * (2x^2) * (2x^2)

Step 2: Distribute (going back to the original problem)

(2^3) * (x^2)^3

Step 3: Simplify

8 * x^6 || Remember that we multiply exponents in this case!

Answer: 8x^6

Hope this helps!! :)

Aseem and Stana are building model cars. stanas car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20. write an equation to determine the lengths of Aseem's and Stana's cars

Answers

Answer:

Aseem’s : 8.3, Stana’s : 11.6

Step-by-step explanation:

Aseem: x

Stana: 2x-5

X+2x-5=20

3x=25

X = 8.3

Which choice is equivalent to the expression below when x 0?
√328 – 116x + 428 – 12x
O A. 3x12x
O B. 4x/2x
O c. 18x
O D. 32x

Answers

the answer is d hopes this helps you

Translate this phrase into an algebraic expression.
8 more than twice Matt's savings
Use the variable m to represent Matt's savings.

Answers

Answer:

2m + 8

Step-by-step explanation:

It's rather simple to break it down, take "8 more" as (+ 8) and twice Matt's savings into (2 * m) which then becomes simply (2m). Because of pemdas, your final answer should be 2m first then + 8, so 2m+8

Complete the input-output table for the function y=3^x
X Y
-2 1/9
-1 1/3
0 1
1 3
2 9
3 a
4 b
A=?
B=?

Answers

9514 1404 393

Answer:

  A = 27

  B = 81

Step-by-step explanation:

Fill in the x-value and do the arithmetic.

  a = 3^3 = 27

  b = 3^4 = 81

someone help me out please:(

Answers

Answer:

[tex]m(x) = - 3x - 3[/tex]

Step-by-step explanation:

[tex]m(x) = f(x) - g(x)[/tex]

[tex]m(x) = (2x+1)−(5x+4)[/tex]

[tex]m(x) = 2x+1−(5x)−1 \times 4[/tex]

[tex]m(x) = 2x+1−5x−1 \times 4[/tex]

[tex]m(x) = 2x+1−5x−4[/tex]

[tex]m(x) = −3x+1−4[/tex]

[tex]m(x) = −3x−3[/tex]

Hope it is helpful...

what are the x intercepts if y is 16x takeaway 8x squared?​

Answers

Answer:

The x-intercepts are (0, 0) and (2, 0)

Step-by-step explanation:

The function is y = 16x - 8x^2.

To find the x-intercepts, we set this function equal to zero (0) and solve the resulting equation for x:

16x - 8x^2 = 8x(2 - x) = 0.

Then 8x = 0 yields x = 0 and 2 - x = 0 yields x = 2

The x-intercepts are (0, 0) and (2, 0)

A line with a slope of 3 passes through the point (2, 6). What is its equation
in slope-intercept form?
please help i need my ixl done and i don’t understand this lesson

Answers

Answer:

I found: y=−3x+12

Explanation:

You can use the relationship:

y−y0=m(x−x0)

Where m is the slope and x0,y0 the coordinates of your point.

So with your data:

y−6=−3(x−2)

y=−3x+6+6

y=−3x+12

or:

3x+y=12

Sally is 54 years old and her mother is 80, how many years ago was Sally's mother three times her age?

Answers

Answer:

So , 41 years ago, Mothers age is 3 times of Sally's age. When Sally's age was 13 , and her mom age was 39 (

There are 24 men in a room
¼ of the men are wearing red shirts
½ of the men are wearing green shirts
The remaining men are wearing blue shirts
Workout the number of men that are wearing blue shirts​

Answers

Answer:

6

Step-by-step explanation:

1/4= 6 men

1/2=12 men

therefore 24-12-6=6 men

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