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Ivanshal [37]
3 years ago
14

What is the exact value of sin 60° as found on the unit circle?

Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0

The answer is \frac{\sqrt{3} }{2}

In order to find this, you need to draw a 30-60-90 triangle in the first quadrant with a 60 degree angle closest to the origin. Once you have that, you will note that, Sin is equal to the opposite side length over the hypotenuse. The opposite side is equal to the square root of 3 and the hypotenuse is equal to 2. So we just express it as such.

\frac{\sqrt{3} }{2}

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I am very sorry because this is off-topic but is it normal to have 840/500 points? for ranking?
hichkok12 [17]

Answer:

i think so

Step-by-step explanation:

8 0
2 years ago
The radius of a sphere is multiplied by . What effect does this have on the volume of the sphere? A. The volume of the sphere is
Greeley [361]

Answer:

Option A. The volume of the sphere is multiplied by 1/343.

Step-by-step explanation:

The volume of a sphere can be obtained by the following formula:

V = 4/3πr^3

Let the initial volume (V1) of the sphere be:

V1 = 4/3πr^3 = (4πr^3)/3

Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:

V2 = 4/3 x π x (1/7r)^3

V2 = 4/3 x π x 1/343r^3

V2 = (4πr^3)/1029

Now we determine the ratio of V2 : V1 as shown below:

V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3

V2/V1 = (4πr^3)/1029 × 3/(4πr^3)

V2/V1 = 3/1029

V2/V1 = 1/343

V2 = 1/343 x V1

Therefore, the volume of the sphere is multiplied by 1/343.

3 0
3 years ago
_____ is the current illustration used to show us how to eat a healthy diet. Basic Four Basic Four My Plate My Plate Food Pyrami
Serhud [2]

Answer:

My Plate.

<em>My Plate</em> is the current illustration used to show us how to eat a healthy diet.

  • Here is the My Plate diagram.

<em>I hope this helped at all.</em>

5 0
3 years ago
To investigate the relationship between amount of sales y (in thousands of dollars) and the amount x (in hundreds of dollars) sp
riadik2000 [5.3K]

Answer:

(A) For each additional hundred dollars spent on advertising, sales are predicted to increase by $2,380.

Step-by-step explanation:

Regression isa statistical equation, denoting relationship between independent (causal) variable(s) & dependent (effected) variable.

y = a <u>+</u> bx

where y = dependent variable, x = dependent variable, a (intercept) = autonomous value of y, b (slope) = change in y due to change in x

Regression equation of independent variable (x) as advertising expenditure & dependent variable (y) sales : y = 24.45 + 2.38x

Sales are in thousands of dollars, advertising expenditure is in hundreds of dollars. So, the interpretations are :

  • Intercept interpretation : When there is zero advertising expenditure, sales are 24.45 thousands i.e $24450
  • Slope Interpretation :<u> When advertisement expenditure change (rise) by 1 hundred, sales change (rise) by 2.38 thousand i.e</u><u> </u><u>$2380</u>
7 0
3 years ago
If f(x) equals x/2+8 what is f(x) when x=10
Sphinxa [80]

Answer:

13

Step-by-step explanation:

Since we want to find f(x) when x equals 10, we can substitute 10 in for x

f(x)=x/2 +8

f(10)=10/2+8

Divide 10 by 2

f(10)=5+8

Add 5 and 8

f(10)=13

So, f(x) when x=10 is 13

4 0
3 years ago
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