Answer:
The third angle = 82°
Step-by-step explanation:
The sum of the angles of a spherical triangle is 180°.
Let the unknown and be called x
36 + 62 + x = 180
98 + x = 180
X = 180 - 98
X = 82°
I would say A. The volume of prism z is 4 times the prims y, and they are similar.
4 x6 is 24
They are similar
That’s really all you need to know.
Hope this helps!
- Pam Pam
Using the combination formula, it is found that:
a) 180 different starting lineups can be created.
b) The probability that mary and alice will get on the lineup is .
The order in which the players are chosen is not important, hence the <em>combination formula </em>is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
Item a:
The lineup is composed by:
- 2 guards from a set of 5.
- 2 forwards from a set of 4.
- 1 center from a set of 3.
Hence the number of lineups is given by:
Item b:
The number of lineups with Mary and Alice are given as follows:
- 2 guards from a set of 5.
- Mary and 1 other forward from a set of 3.
Hence:
Hence the probability is given by:
The probability that mary and alice will get on the lineup is .
More can be learned about the combination formula at brainly.com/question/25821700
#SPJ1
Answer:
y = (10/7)*x
Step-by-step explanation:
A line that represents a proportional relationship between y and x has the following form: y = k*x, where k is he unit rate of change of y with respect to x.
Replacing with k = 10/7, we get:
y = (10/7)*x
We can check that a change of 1 unit in x corresponds to a change of 10/7 units in y, replacing with x = 1 into the equation:
y = (10/7)*1
y = 10/7
So! I have written out most of the working but ran out of space so will explain a bit here. Basically, by drawing out a diagram we can see that you have a right angled triangle, and you also know the lengths of two sides of said triangle. With this information, in order to find the distance travelled, you just need to use Pythagoras' theorem (as shown - x in the diagram is the distance the boat travels to correct itself).
For the angle, notice how it wants it relative to due east - as we have a triangle we can use to work out internal angles with trig, here I would find it easiest to find the boat's initial angle in terms of due west, then take that away from 180 to find the larger angle! I don't have a calculator with trig buttons on with me, but if you type the tan sum into a scientific calculator to find the west angle, then subtract that from 180 you'll have your answer.