Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,
m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?
Cross multiply:
Divide both sides by 0.68 to solve for XY
XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
Answer:
Step-by-step explanation:
<em><u>The complete question is</u></em>
A coordinate grid is placed over a College Station map. Tiger Stadium is located at (-3, 2) and Kyle Field is located at (4, 8). If a shuttle bus stop is at the midpoint between Tiger Field and Kyle Field, which is the closest to the distance in coordinate units from Tiger Field to the shuttle bus stop?
<u><em>Options</em></u>
4.61 units
6.52 units
9.22 units
21.25 units
step 1
Find the midpoint between Tiger Field and Kyle Field ( shuttle bus stop)
we know that
The formula to calculate the midpoint between two points is equal to
we have the points
(-3, 2) and (4, 8)
substitute in the formula
step 2
Find the distance from Tiger Field to the shuttle bus stop
we know that
the formula to calculate the distance between two points is equal to
we have the points
(-3,2) and (0.5,5)
substitute in the formula
Answer:
2
Step-by-step explanation:
Using the rule of radicals
×
⇔
, then
=
= ×
= 2
Answer:
Step-by-step explanation:
The dealing of the cards can be seen in the following way:
We first have to choose which 7 cards are going to be dealt to the 1st player. So we have to pick 7 cards out of the 52 available cards. This can be done in ways. Now that we have chosen which 7 cards are going to be dealt to the 1st player, we have to choose which 2 of them are going to be the hidden ones. So we have to pick 2 cards out of the 7 cards to be the hidden ones. This can be done in
ways. At this point we now know which cards are being dealt to the 1st player, and which ones are hidden for him. Then we have to choose which 7 cards to deal to the 2nd player, out of the remaining ones. So we have to pick 7 out of 52-7=45. (since 7 have been already dealt to the 1st player). This can be done in
. Then again, we have to pick which 2 are going to be the hidden cards for this 2nd player. So we have to pick 2 out of the 7. This can be done in
ways. Then we continue with the 3rd player. We have to choose 7 cards out of the remaining ones, which at this point are 52-7-7=38. This can be done in
. And again, we have to choose which ones are the hidden ones, which can be chosen in
ways. Finally, for the last player, we choose 7 out of the remaining cards, which are 52-7-7-7=31. This can be done in
ways. And choosing which ones are the hidden ones for this player can be done in
ways. At the end, we should multiply all our available choices on each step, to get the total choices or total ways to deal the cards to our 4 players (since dealing the cards is a process of several steps with many choices on each step).