Answer:
∠ CDA = 32.3°
Step-by-step explanation:
See the given figure attached to this answer.
Draw perpendiculars from B and C on AD which is BE and CF.
Now, Δ ABE is a right triangle and AE² = AB² - BE² = 7.5² - 6² = 20.25
⇒ AE = 4.5 cm
Now, DF = AD - EF - AE = 24 - 10 - 4.5 = 9.5 cm {Since BC = EF}
And CF = BE = 6 cm.
Now, Δ CFD is a right triangle and
{Where β = ∠ CDA}
⇒
Degree.
So, ∠ CDA = 32.3° {Correct to one decimal place} (Answer)
A is equal to 87 degrees. You get this answer since all triangle angle measurements must equal 180 when combined. So you add
36+57=93
180-93=87
A=87
Answer:
There are 13 cards for each suit so the first fraction is 13/52 and the next one is 13/51 as there is no replacement for the first card you pulled.
Multiplying them you get: 13/52*13/51= 169/2652,
Then you divide both sides by 13 to get: 13/204
So, the answer is C.
I hope this helps!
Answer:
15 sheep
Step-by-step explanation:
1 leg = 1 foot
1 head = 1 animal
Suppose all the animals are chickens:
50 × 2 = 100
130 - 100 = 30
4 - 2 = 2
30 ÷ 2 = 15
Hence, there are 15 sheep.
Answer:
2√5
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
= √[1 - (-1)]² + [3 - (-1)]
= √(2)² + (4)²
= √(4) + (16)
= √20
= 2√5