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4 years ago

Find the exact value of sin-1 the quantity square root of three divided by two

Mathematics

1 answer:

kykrilka [37]4 years ago

8 0

Answer:

Answer is 60 degrees.

Step-by-step explanation:

We know that in a right angled triangle if one leg is 1, and hypotenuse is 2,

then other leg = $\sqrt{2^2-1^2 } =\sqrt{3}$

(By using Pythagorean theotrem)

Now consider a right angle triangle with hypotenuse 2 and one leg 1, and the angle between other leg and hypotenuse.

Since sin 30 = 1/2 we have cos 60= sin (90-60) = 1/2

Hence sin 60 = rt 3 /2

Using the above we get sin inverse of quantity square root of three divided by two is 60 degrees.

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Pls help ................

sukhopar [10]

B and c are the answers

5 0

3 years ago

Read 2 more answers

Will give brainlyest if u help

goblinko [34]

Answer:

No, because it fails the vertical line test ⇒ B

Step-by-step explanation:

To check if the graph represents a function or not, use the vertical line test

Vertical line test: Draw a vertical line to cuts the graph in different positions,

if the line cuts the graph at just one point in all positions, then the graph represents a function

if the line cuts the graph at more than one point in any position, then the graph does not represent a function

In the given figure

→ Draw vertical line passes through points 2, 6, 7 to cuts the graph

∵ The vertical line at x = 2 cuts the graph at two points

∵ The vertical line at x = 6 cuts the graph at two points

∵ The vertical line at x = 7 cuts the graph at one point

→ That means the vertical line cuts the graph at more than 1 point

in some positions

∴ The graph does not represent a function because it fails the vertical

line test

7 0

3 years ago

Suppose 10000 people are given a medical test for a disease. About1% of all people have this condition. The test results have a

Alina [70]

Answer:

The percent of the people who tested positive actually have the disease is 38.64%.

Step-by-step explanation:

Denote the events as follows:

X = a person has the disease

P = the test result is positive

N = the test result is negative

Given:

$P(X)=0.01\\P(P|X^{c})=0.15\\P(N|X)=0.10$

Compute the value of P (P|X) as follows:

$P(P|X)=1-P(P|X^{c})=1-0.15=0.85$

Compute the probability of a positive test result as follows:

$P(P)=P(P|X)P(X)+P(P|X^{c})P(X^{c})\\=(0.85\times0.10)+(0.15\times0.90)\\=0.22$

Compute the probability of a person having the disease given that he/she was tested positive as follows:

$P(X|P)=\frac{P(P|X)P(X)}{P(P)}=\frac{0.85\times0.10}{0.22} =0.3864$

The percentage of people having the disease given that he/she was tested positive is, 0.3864 × 100 = 38.64%.

3 0

3 years ago

1/4(x-2) = 10 NEED DONE ASAP

kari74 [83]

Answer:

x = 42

Step-by-step explanation:

Step 1 :

Simplify —

Equation at the end of step 1 :

(— • (x - 2)) - 10 = 0

Step 2 :

Equation at the end of step 2 :

(x - 2)

——————— - 10 = 0

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

10 10 • 4

10 = —— = ——————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x-2) - (10 • 4) x - 42

———————————————— = ——————

4 4

Equation at the end of step 3 :

x - 42

—————— = 0

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, multiplys both sides of the equation by the denominator.

Here's how:

x-42

———— • 4 = 0 • 4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-42 = 0

Solving a Single Variable Equation :

4.2 Solve : x-42 = 0

Add 42 to both sides of the equation :

x = 42

One solution was found :

x = 42

Processing ends successfully

plz mark me as brainliest :)

3 0

3 years ago

The picture below shows a right-triangle-shaped charging stand for a gaming system:

Setler79 [48]

This question is incomplete because it lacks the diagram of the right angles shaped charging stand.

Find attached to this answer, the appropriate diagram.

Answer:

3(tan 50°)

Step-by-step explanation:

To solve this question, we would be using the Trigonometric function called Tangent.

tan θ = opposite side/ adjacent side

θ = 50°

Opposite side (Height)= Side AC = Unknown

Adjacent side = Side BC = 3 inches

Hence,

tan 50° = Side AC/ Side BC

tan 50° = Side AC / 3

Cross multiply

tan 50° × 3 = Side AC

3(tan 50°) = Side AC

Therefore, the expression shows the height, AC, of the charging stand is

3(tan 50°).

3 0

3 years ago