Answer:
238
Step-by-step explanation:
Important note: ∠FAH is an inscribed angle and arc mFGH is it's intercepted arc
opposite angles in a quadrilateral formed inside of a circle area supplementary
Supplementary meaning that they add up to equal 180
So 13x + 15 + 8x - 3 = 180
We now solve for x
step 1 combine like terms
13x + 8x = 21x
15 - 3 = 12
12 + 21x = 180
step 2 subtract 12 from each side
12 - 12 cancels out
180 - 12 = 168
21x = 168
step 3 divide each side by 21
21x / 21 = x
168 / 21 = 8
we're left with x = 8
Now we substitute 8 for x in 13x + 15
13 ( 8 ) + 15
13 * 8 = 104
104 + 15 = 119
So ∠FAH = 119
Recall that an included angle is equal to half the measure of its intercepted arc.
so arc mFGH = 2 (119)
2 * 119 = 238
Therefore your answer is A
To evaluate for tan 5x/4 we proceed as follows
5x/4
=5/4*150
=225
which is in quadrant III.
This implies that the value of tan will be positive, hence:
tan 225=tan (270-225)
tan 225=tan 45
using right angle with length of the legs being unit, then
tan 45=1
hence
tan 5x/4=1
Answer:
Step-by-step explanation:
Samuel wants at least 15 grams
Let's expand on "at least 15"
It means that Samuel wants no less than 15, but 15 or more
It could be 16, but not 14
To create an inequality, 15 or more can be written as (x is 15 more more)
The answer is
Hope this helps :)
Have a nice day!
Answer:
And for this case we can use the total rule of probability given by:
And if we solve for we got:
And replacing we got:
Step-by-step explanation:
We have the following probabilities given:
And for this case we can use the total rule of probability given by:
And if we solve for we got:
And replacing we got: