Answer:
65mm
Step-by-step explanation:
From the Pythagorean theorem, we can write it as sqrt(60^2+25^2) which is 65.
Answer:
23.590 feet
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides of a right triangle:
Tan = Opposite/Adjacent
Here, that means ...
tan(65°) = height/(11 ft)
Multiplying by 11 ft, we get ...
height = (11 ft)tan(65°) ≈ 23.5896 ft
height ≈ 23.590 ft
Answer:
1) 12
2) 72
Step-by-step explanation:
1) The GCF of 36 and 24 is 12. So, each child would get 3 prizes and 2 balloons.
2) The LCM of 18 and 24 is 72. When the first radio station is playing the song for the fourth time, the second radio station will play the song for the third time. This will happen 72 minutes after they both play it for the first time.
Answer:
Step-by-step explanation:
a) Perimeter of a rectangle = 2 *(L +w)
b) w = L - 2
Answer: B
c) Perimeter = 96 inches
2* (l +w) = 96
2*( L + L - 2 ) = 96 {Combine like terms}
2 * (2L - 2) = 96 {use distributive law}
2*2L - 2*2 = 96
4L - 4 = 96 {Add 4 to both sides}
4L = 96 +4
4L = 100 {divide both sides by 4}
4L/4 = 100/4
L = 25 inches
d) w = L - 2
= 25 - 2
w = 23 inches
Answer:
h = 33°
Step-by-step explanation:
180° = 90° + h + 57°
h = 180° - 90° - 57°
h = 180° - 147°
h = 33°
