Answer:
Step-by-step explanation:
Given:
m<FGK = (7w + 3)°
m<FGH = 104°
angle bisector of <FGH = GK
Required:
Value of w
SOLUTION:
Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:
m<FGH = 2*m<FGK
(substitution)
Divide both sides by 2
Subtract 3 from each side
Divide both sides by 7
Answer:
a)
AB is on the latitude 30°N.
<u>Find AB:</u>
- AB = 2*3.142*6400*cos 30°*(32+35)/360 = 6482.15 km
BC is along longitude 35°W
<u>Find BC:</u>
- BC = 2*3.142*6400*(30 + 20)/360 = 5585.77 km
<u>Total distance traveled:</u>
- 6482.15 + 5585.77 = 12067.92 km
<u>Convert the distance to nautical miles:</u>
12067.92/1.86 = 6488.13 nautical miles
b)
<u>Find the average speed:</u>
- 6488.13/22 = 294.92 nautical miles / hour
<u>Note</u>. <em>This is unrealistically high speed for a ship, this must be a plane or the time given wrong.</em>
Answer:
37
Step-by-step explanation:
This may look like a complicated problem but it's some simple analyzing of the problem to get the job done:
"The sum" tells that we are going to be adding together the next two phrases separated by "and"s.
That is "8 times a number 4" <em>and</em> "5"
Therefore, we need to add 2 groups:
(8*4) + (5)
Now, we simply use PEMDAS (or GEMDAS) to solve the expression:
(8*4) + (5)
= (32) + (5)
= 32 + 5
= <u>37</u>
Answer:
Step 1. Should be 3(x +2x) -2(x +1) +5 . . .
or . . . 3x(1 +2) -2(x +1) +5 . . .
or . . . 9x -2(x+1) +5
Step-by-step explanation:
Lisa apparently failed to realize that both terms inside the first set of parentheses have 3x as a factor. They are like terms, so could be combined directly. If Lisa really wants to factor out 3 or 3x, she could do so and then combine the remaining factors at another step.
