Is Sin2x equal to 2sinx

Mathematics

2 answers:

ANEK [815]3 years ago

6 0

Answer:

No. They are not equivalent.
The provided equation is not an identity.

sergiy2304 [10]3 years ago

4 0

Yes they are equal to each other

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LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters

Evgen [1.6K]

Answer:

$(B)r=\dfrac{85}{12}$

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

LX=6
Radius, XJ=JK=r
LK=11

Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

$(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}$

The length of the radius, $r=\dfrac{85}{12}$

8 0

4 years ago

Read 2 more answers

One day a store sold 21 sweatshirts. white ones cost $9.95 and yellow ones cost $ 11.50. in all, $235.30 worth of sweatshirts

FromTheMoon [43]

For this problem you have yo set up two equations.

White shirts = w Yellow shirts = y

1st: w + y = 21
2nd: 9.95w + 11.50y = 235.30

Now we're going to do system of equations using substitution.

If w + y = 21, then y = 21 - w
If y = 21 - w, then you can substitute this in the second equation for y.

9.95w + 11.50(21 - w) = 235.30
9.95w + 241.5 - 11.50w = 235.30
-1.55w + 241.5 = 235.30
-1.55w = -6.2
w = 4, so 4 whites shirt were sold.

Now I'm finding out how many yellow shirts were sold using one of the two equations at the top.

w + y = 21
4 + y = 21
y = 17

So 17 yellow shirts were sold and 4 white shirts were sold.

5 0

3 years ago

How many 1/3 liters are in 4 2/3 liters

jonny [76]

Answer:

Step-by-step explanation:

This is a division problem.

We want to find how many 1/3 liters are in 4⅔ liters.

We divide to obtain:

$\frac{4 \frac{2}{3} }{ \frac{1}{3} }$