Answer:
f=5/4
Step-by-step explanation:
f=1/2+3/4
f=(1/2)×2+3/4
f=2/4+3/4
f=5/4
You would begin by choosing which trigonometric function to use.
In this case, you would use sine.
Sine is opposite over hypotenuse.
Opposite of the 35 degree angle is 18, and you want to find the hypotenuse which is x.
sin(35) =

(multiply x to both sides)
x sin(35) = 18 (divide sin(35) to both sides)
x = 31.38204...
So, therefore
x = 31.38. I don't know what decimal point you're supposed to round to, so I'm gonna guess the hundredths place. :)
Answer:
(a) Percentage of girls = 55
(b) Percentage of boys = 44
Step-by-step explanation:
To find percentage, we multiply the fraction out of the total by 100%.
Percentage of girls =
× 100%
= 55
Percentage of boys =
× 100%
= 44
Answer:
The following measurements are:
(Option #4)
(Option #7)
(Option #5)
(Option #2)
Step-by-step explanation:
To begin, we can find the measure of
by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:

Next, we can find the measure of arc QT using the same theorem. So,

Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of
. Since the arc ST is part of the arc RST, and we know RS is
, we can set up and solve this equation:

We can use the same idea to find RQ. We know that RQT is
and QT is
, so:

Answer:
I am really good at doing stuff like that