Answer:
1) ΔACD is a right triangle at C
=> sin 32° = AC/15
⇔ AC = sin 32°.15 ≈ 7.9 (cm)
2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:
AB² = AC² + BC²
⇔ AB² = 7.9² + 9.7² = 156.5
⇒ AB = 12.5 (cm)
3) ΔABC is a right triangle at C
=> sin ∠BAC = BC/AB
⇔ sin ∠BAC = 9.7/12.5 = 0.776
⇒ ∠BAC ≈ 50.9°
4) ΔACD is a right triangle at C
=> cos 32° = CD/15
⇔ CD = cos32°.15
⇒ CD ≈ 12.72 (cm)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
5y - 8 = 3y + 1 Add 8 to both sides
5y = 3y + 1 + 8 Subtract 3y from both sides
5y - 3y = 9 Combine
2y = 9 Divide by 2
2y/2 =9/2
y = 4. 5
5y - 8 =
5(4.5) - 8 =
22.5 - 8 =
14.5
That represents 1/2 of MO
MO = 2 * 14.5
MO = 29
= 5/3 x (-7/2)
= -35/6
= -5 5/6
answer A.
-5 5/6
<h2>
Hello!</h2>
The answer is:
The first option,
<h2>
Why?</h2>
To find the inverse of a function, we need to rewrite the variable "x" with "y" and the variable "y" with "x", and then, isolate "y".
We are given the function:
Write "f(x)" is equal to write "y", so:
Now, finding the inverse, we have:
Hence, we have that the answer is the first option,
Have a nice day!
Answer: 120
<u>Step-by-step explanation:</u>
Ratio Quantity
Boys: 5 80 + x
Girls: 3 x
