1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kondor19780726 [428]
2 years ago
15

Find the value of each variable

Mathematics
1 answer:
4vir4ik [10]2 years ago
5 0

Answer:

x = 10\sqrt{2} , y = 10\sqrt{6}

Step-by-step explanation:

using the sine and cosine ratios in the right triangle and the exact values

cos60° = \frac{1}{2} , sin60° = \frac{\sqrt{3} }{2} , then

cos60° = \frac{adjacent}{hypotenuse} = \frac{x}{20\sqrt{2} } = \frac{1}{2} ( cross- multiply )

2x = 20\sqrt{2} ( divide both sides by 2 )

x = 10\sqrt{2}

and

sin60° = \frac{opposite}{hypotenuse} = \frac{y}{20\sqrt{2} } = \frac{\sqrt{3} }{2} ( cross- multiply )

2y = 20\sqrt{2} × \sqrt{3} = 20\sqrt{6} ( divide both sides by 2 )

y = 10\sqrt{6}

You might be interested in
0.175 as a percentage
Paul [167]

Answer: 17.5%

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.175 × 100 = 17.5% (answer).

➥ The ease way:

1) Move the decimal point two places to the right: 0.175 → 1.75 → 17.5.

2) Add a % sign: 17.5%

Answer: 17.5%

3 0
2 years ago
Read 2 more answers
What is 7/12 divided by 36?
Georgia [21]
7/12 = 0.84
0.84/36 = 0.0233·
3 0
3 years ago
How to solve 4(a-2)=3(a+4)
Blababa [14]
Use the distributive property.
4a - 8 = 3a + 12
Arrange the like terms.
4a - 3a = 12 + 8
a = 20
That is the answer. <span>☺️</span>✌️
5 0
3 years ago
(x+y)^2 (x2+2xy+y2) pleas show all work
lakkis [162]

Answer:

{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x

​4

​​ +4x

​3

​​ y+6x

​2

​​ y

​2

​​ +4xy

​3

​​ +y

​4

​​  

Step-by-step explanation:

1 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)

​2

​​ =a

​2

​​ +2ab+b

​2

​​ .

({x}^{2}+2xy+{y}^{2})({x}^{2}+2xy+{y}^{2})(x

​2

​​ +2xy+y

​2

​​ )(x

​2

​​ +2xy+y

​2

​​ )

2 Expand by distributing sum groups.

{x}^{2}({x}^{2}+2xy+{y}^{2})+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x

​2

​​ (x

​2

​​ +2xy+y

​2

​​ )+2xy(x

​2

​​ +2xy+y

​2

​​ )+y

​2

​​ (x

​2

​​ +2xy+y

​2

​​ )

3 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x

​4

​​ +2x

​3

​​ y+x

​2

​​ y

​2

​​ +2xy(x

​2

​​ +2xy+y

​2

​​ )+y

​2

​​ (x

​2

​​ +2xy+y

​2

​​ )

4 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}({x}^{2}+2xy+{y}^{2})x

​4

​​ +2x

​3

​​ y+x

​2

​​ y

​2

​​ +2x

​3

​​ y+4x

​2

​​ y

​2

​​ +2xy

​3

​​ +y

​2

​​ (x

​2

​​ +2xy+y

​2

​​ )

5 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}{x}^{2}+2{y}^{3}x+{y}^{4}x

​4

​​ +2x

​3

​​ y+x

​2

​​ y

​2

​​ +2x

​3

​​ y+4x

​2

​​ y

​2

​​ +2xy

​3

​​ +y

​2

​​ x

​2

​​ +2y

​3

​​ x+y

​4

​​  

6 Collect like terms.

{x}^{4}+(2{x}^{3}y+2{x}^{3}y)+({x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+{x}^{2}{y}^{2})+(2x{y}^{3}+2x{y}^{3})+{y}^{4}x

​4

​​ +(2x

​3

​​ y+2x

​3

​​ y)+(x

​2

​​ y

​2

​​ +4x

​2

​​ y

​2

​​ +x

​2

​​ y

​2

​​ )+(2xy

​3

​​ +2xy

​3

​​ )+y

​4

​​  

7 Simplify.

{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x

​4

​​ +4x

​3

​​ y+6x

​2

​​ y

​2

​​ +4xy

​3

​​ +y

​4

​​  

7 0
3 years ago
Read 2 more answers
Josiah want to gp to the movies with his friends. Tickets are $8.50 plus he must play Fangalingo a $3 transaction fee for purcha
ss7ja [257]

Answer:

The equation that represents the number of tickets that Josiah can buy with $45.50

3 + 8.50x = 45.50

The number of number of tickets that Josiah can buy with $45.50 is 5 ticketa

Step-by-step explanation:

Let the number of tickets be represented by x

Tickets are $8.50 plus he must play Fangalingo a $3 transaction fee for purchasing the tickets online.

The equation that represents the number of tickets that Josiah can buy with $45.50

$3 + $8.50 × x = $45.50

3 + 8.50x = 45.50

Solving further for x

3 + 8.50x = 45.50

8.50x = 45.50 - 3

8.50x = 42.50

x = 42.50/8.50

x = 5

Hence, the number of number of tickets that Josiah can buy with $45.50 is 5 ticketa

3 0
3 years ago
Other questions:
  • Plz Answer this question ASAP!
    8·1 answer
  • Simplify the expression.
    14·1 answer
  • Quadrilateral WXYZ has the vertices W(-5, 2), X(-4, -2), Y(3, 1), and Z(2, -5). The quadrilateral is dilated by a scale factor o
    5·1 answer
  • Select the correct answer.
    10·1 answer
  • eric is ten years older than sal &amp; mick is twice sals age their combined age equals 110 how old is sal
    6·1 answer
  • A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°
    14·2 answers
  • Question 1 (1 point)
    13·1 answer
  • A number added to itself equals 5 less than the number
    12·1 answer
  • Solve the system of linear equations by elimination.<br><br> 3x+2y=3<br> 3x−2y=−9
    6·1 answer
  • Which of the equations is true
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!