2/7 cup of flour

Simply multiply 2/3 by 3/7 to get the answer. To multiply 2 fractions together, you multiply the numerators together and then multiply the denominator together.

2/3 x 3/7 = 6/21

But 6/21 can be expressed in a simpler fashion. Notice that both 6 and 21 can be evenly divided by 3. So divide both the numerator and denominator by 3

(6/3)/(21/3) = (2)/(7) = 2/7

7 0

3 years ago

The graph of f(x)=sin(x) is transformed into a new function, g(x) , by compressing it vertically by a factor of 1/2 and shifting

Arturiano [62]

If we compress the graph of $y = sin x$ vertically by 1/2, this gives us the equation $y = \frac{1}{2} sin x$ . Shifting this downward (vertically) by 3 units will mean that the expression must have 3 subtracted from it, leaving the final equation of g(x) to be:
$g(x) = \frac{1}{2} sin x - 3$

6 0

3 years ago

Use the circle unit to find sin 90 degrees

kati45 [8]

Answer:

Sin 90°=1

Step-by-step explanation:

A unit circle is a circle with a radius of 1 .Because the radius is 1, it is possible to directly measure the sine, cosine and tangent.

<em>using the unit circle where 90° is the limit as the hypotenuse approaches the vertical y-axis which is positive.</em>

Sine=opposite/hypotenuse

Sin=O/H

<u>Applying the limits</u>

Sine 90°=1/1= 1

cos 90° =0/1 =0

When the angle formed at the origin of the unit circle in the 1st quadrant is 0°, cos 0°=1 sin0°=0 and tan 0°=0

When we increase the angle until it is 90°, cos 90°=0, sin 90°=1 and tan 90°=undefined

4 0

2 years ago