What is the surface area?

Find the values of x and y. Pls helpI’m helpless at math

Svetradugi [14.3K]

Answer:

x = 1

$y=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The adjacent to the angle ∠60° is 1/2.

The opposite to the angle ∠60° is y.

The hypotenuse = x

Determining the value of x:

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

$cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}$

$\cos \left(60^{\circ \:}\right)=\frac{1}{2x}$

$\frac{1}{2}=\frac{1}{2x}$ ∵ cos (60°) = 1/2

$2x=2$

Dividing both sides by 2

$\frac{2x}{2}=\frac{2}{2}$

Simplify

$x=1$

Thus, the value of hypotenuse x is:

x = 1

Determining the value of y:

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

$y=\frac{\sqrt{3}}{2}$ ∵ $\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}$

Therefore, the value of y is:

$y=\frac{\sqrt{3}}{2}$

Summary:

x = 1

$y=\frac{\sqrt{3}}{2}$

5 0

3 years ago

2c +3 = 3c - 4 Help me please

VashaNatasha [74]

Hey there!

Solve the equation:

Answer :

c = 7 ✅

Explanation

2c + 3 = 3c - 4

>> Subtract 3 from both sides :

2c + 3 - 3 = 3c - 4 - 3

2c = 3c - 7

>> Substrat 3c from both sides :

2c - 3c = 3c - 7 - 3c

-c = -7

>> Divide each side by -1 :

-c / -1 = -7 / -1

c = 7

Let's verify:

2c + 3 ⇔ 2(7) + 3 ⇔ 14 + 3 ⇔ 17

3c - 4 ⇔ 3(7) - 4 ⇔ 21 - 4 ⇔ 17

Therefore, your answer is c = 7 .

Mor about equation :

brainly.com/question/27353929

Have a good day :)

6 0

2 years ago

Read 2 more answers

The Magazine Mass Marketing Company has received 10 entries in its latest sweepstakes. They know that the probability of receivi

Serjik [45]

Answer:

P(X>4)= 0.624

Step-by-step explanation:

Given that

n = 10

p= 0.5 ,q= 1 - p = 0.5

Two fifth of 10 = 2/5 x 10 =4

It means that we have to find probability P(X>4).

P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)

We know that

$P(X=x)=(_{x}^{n})\ p^xq^{n-x}$

$P(X=0)=(_{0}^{10})\ 0.5^0\ 0.5^{10}=0.0009$

$P(X=1)=(_{1}^{10})\ 0.5^1\ 0.5^{9}=0.0097$

$P(X=2)=(_{2}^{10})\ 0.5^2\ 0.5^{8}=0.043$

$P(X=3)=(_{3}^{10})\ 0.5^3\ 0.5^{7}=0.117$

$P(X=4)=(_{4}^{10})\ 0.5^3\ 0.5^{7}=0.205$

P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)

P(X>4)= 1 -0.0009 - 0.0097 - 0.043 - 0.117-0.205

P(X>4)= 0.624

8 0

2 years ago

Read 2 more answers

Find (a) the perimeter and (b) the area of the figure. Use 3.14 or 22 22 for 1. Round your answer to the nearest hundredth, if n

Vedmedyk [2.9K]

Step-by-step explanation:

i dont know

3 0

2 years ago

Select the correct answer.

ratelena [41]

Answer:

A. $x(x+12) -7(x+12)$

Step-by-step explanation:

Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:

$x^2 +5x - 84$

First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.

$x^2 +12x - 7x - 84$

Now take out the common factors,

$x(x+12) -7(x+12)$

Thus, the correct option is choice (A).

5 0

2 years ago