Answer: 
<u>Step-by-step explanation:</u>
(7, 6)
Use Pythagorean Theorem to find the hypotenuse:
7² + 6² = c²
49 + 36 = c²
85 = c²
√85 = c
adjacent = 7, opposite = 6, hypotenuse = √85
sec θ =
= 
We are supposed to assume FC and AD is straight line
let's find all the angles
you already see the right angle is 90 degrees, you got that right
striaght line is 180 degrees
90+46+EF=180
136+EF=180
minus 136 both sides
EF=44
now we got another straight line
you did get that A F=46 because it is oposite
notice: AB=BC because same angle designition
so now we use
180+46+2AB=360
2AB=134
divide 2
AB=67=BC
AC=134 degrees
CAE=134+46+44=224
ABD=180 since straight line
a. 90
b. 224
c.134
d. 180
Answer:
39,096,288
Step-by-step explanation:
as we know that
The number of ways to pick 5 numbers from 45 are


= 1,221,759.
There are 32 ways to pick a gold ball so total number of ways to get 6 matching numbers is
1221759×32
= 39,096,288
Answer:
10 meters
Step-by-step explanation:
To obtain how far wthe bird will need to fly directly, we use Pythagoras rule to calculate the hypotenus of the triangle :
Hypotenus, h = sqrt(opposite² + adjacent²)
h = sqrt(6² + 8²)
h = sqrt(36 + 64)
h = sqrt100)
h = 10m
Answer:
B. Period 1 had scores that were less spread out around the mean than
Period 2
Step-by-step explanation:
Because the standard deviation of Period 2's scores is greater than that of Period 1's, the test scores for Period 2 are going to be more spread out than Period 1's test scores. B is the most logical choice in this case.