Answer:
x = 53.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 51 = 66/x
x tan 51 = 66
x = 66/ tan 51
x=53.44574
Rounding to the nearest tenth
x = 53.4
Answer:
w=5
Step-by-step explanation:
Solve for W by getting it by itself.
1. Divide both sides by -4.
(w + 1)= -24/-4
2. Simplify
(w + 1)= 6
3. Subtract 1 from both sides.
w= 6-1
w= 5
This is likely 44 however we have to view the possibilities no no no no no
Answer:
A 404 mi
Step-by-step explanation:
If we designate the points of the triangle A, B, and C for the locations of the western station, eastern station, and balloon, respectively, we have the following:
∠CAB = 90° - 41° = 49°
∠CBA = 90° + 21° = 111°
∠ACB = 41° -21° = 20°
side "c" (opposite ∠ACB) is 148 miles
The distance we're asked to find is AC = b, the longest side of the triangle. The law of sines tells us ...
b/sin(B) = c/sin(C)
b = c·sin(B)/sin(C) = (148 mi)·sin(111°)/sin(20°) ≈ 403.98 mi ≈ 404 mi
Answer:
Step-by-step explanation:
Total peanuts = 5/6pounds
They ate = 3/4 of the peanut
= 3/4 × 5/6 = 5/8pounds
They eat 5/8 pounds
Amount left = 5/6 - 5/8
= (20 - 15)/24
= 5/24pounds
Jesus had 5/24 pounds of peanuts left
