Answer:
a) 5.83 cm
b) 34.45°
Step-by-step explanation:
a) From Pythagoras theorem of right triangles, given right triangle ABC:
AB² + BC² = AC²
Therefore:
AC² = 5² + 3²
AC² = 25 + 9 = 34
AC = √34
AC = 5.83 cm
b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.
From Pythagoras theorem of right triangles, given right triangle ACD:
AD² + AC² = DC²
Therefore:
DC² = 5.83² + 4²
DC² = 34 + 16 = 50
DC = √50
DC = 7.07 cm
Let ∠ACD be x. Therefore using sine rule:
Answer:
The cow's heart beats at a rate of 65 beats per minute.
Step-by-step explanation:
Pig: 225 ÷ 3 = 75, not right.
Horse: 180 ÷ 4 = 45, not right.
<u>Cow: 520 ÷ 8 = 65, correct!</u>
Dog: 540 ÷ 6 = 90, not correct.
So as we can see the cow is the right answer.
Answer: x = 4
Step-by-step explanation:
5x + 34 = -2(1 - 7x)
5x + 34 = -2 + 14x Multiply -2 to 1 and -7x
5x + 36 = 14x Add 2 to both sides
36 = 9x Subtract 5x to both sides
4 = x Divide 9 to both sides
Answer:
The answer is 720
Step-by-step explanation:
15*8*6=720
Hope this helps!!
That would be 528 my friend
