Answer:
x = 24
Step-by-step explanation:
144 divided by 6 = 24
<h3>
Answer: 9.03</h3>
=====================================================
Explanation:
For now, focus solely on triangle HGF.
We'll need to find the measure of angle F.
Use the law of cosines
f^2 = g^2 + h^2 - 2*g*h*cos(F)
(4.25)^2 = 8^2 + 6^2 - 2*8*6*cos(F)
18.0625 = 100 - 96*cos(F)
18.0625-100 = -96*cos(F)
-81.9375 = -96*cos(F)
cos(F) = (-81.9375)/(-96)
cos(F) = 0.853515625
F = arccos(0.853515625)
F = 31.403868 degrees approximately
---------------------------
Now we can move our attention to triangle DEF.
We'll use the angle F we just found to find the length of the opposite side DE, aka side f.
Once again, we use the law of cosines.
f^2 = d^2 + e^2 - 2*d*e*cos(F)
f^2 = (4.75+8)^2 + (11+6)^2 - 2*(4.75+8)*(11+6)*cos(31.403868)
f^2 = 81.563478
f = sqrt(81.563478)
f = 9.031250 approximately
Rounding to two decimal places means we get the final answer of DE = 9.03
Answer:
61.15 m
Step-by-step explanation:
From trigonometry :
Tan x = opposite / Adjacent
x = 28°
Tan 28 = distance from base to fire / height
0.5317094 = distance from base to fire / 115
distance from base to fire = 115 * 0.5317094
distance from base to fire = 61.15 m
Answer:
5, -5
Step-by-step explanation:
well 5-5 is 0 so that's it
:))))
Answer:
Option A is the answer
Step-by-step explanation:
Toski is building a room having length = 18 feet
Width of the room = 14 feet
Scale has been given as 1 inch = 2 feet
∵ 2 feet = 1 inch
∴ 1 feet =
feet
∴ 18 feet length of the room =
inches
Similarly 14 feet width of the room =
inch
Now we count the small blocks in the given options.
Option A has 9 blocks or 9 inches as the length of the room and 7 blocks or 7 inches as the width of the room.
Option A is the answer.