Answer:
8/13
Step-by-step explanation:
There are total 26 red cards in the deck of 52 cards.
There are also 12 face cards in the deck ( which is 6 of them are red, while 6 of them are black)
Since we only need either one of them, 26 + 6 = 32
The probability of drawn a card that either red or a face card is 32/52
The simplest form of this fraction is 8/13.
Answer:
Step-by-step explanation:
Suppose numbers are <em>x</em> and <em>y</em>
<u>Product of </u><em><u>x</u></em><u> and </u><em><u>y</u></em><u> is </u><em><u>-2</u></em>
<u />
And sum of <em>x</em> and <em>y</em> is <em>-1</em>
1 km = 0.62 mi
1 mi = 1.6 km
80*0.62
-or-
60*1.6
Hope this helps
Answer:
m∠BDC = 43°
Step-by-step explanation:
According to the theorem every peripheral angle in the circle is equal to half value of central angle.
Angle m∠ADB is corresponding peripheral angle of central angle m∠AOB.
According to this m∠AOB = 2· m∠ADB = 2· 43 = 86°
If angle m∠BOC=m∠AOB= 86°
Angle m∠BDC is corresponding peripheral angle of central angle m∠BOC
According to this m∠BDC = m∠BOC/2 = 43°
Good luck!!!
Angle A of triangle ABC will be ...
∠A = θ₂ -θ₃ = 77° -26° = 51°
Angle B of triangle ABC will be ...
∠B = 180° -θ₂ -θ₁ = 180° -77° -44° = 59°
Then angle C will be ...
∠C = 180° -∠A -∠B = 180° -51° -59° = 70°
By the Law of Sines,
a/sin(∠A) = c/sin(∠C)
a = c×sin(∠A)/sin(∠C)
a = (57 yd)×sin(51°)/sin(70°) ≈ 47.14 yd
The distance from B to C is 47.14 yd.
