Answer:
∠ B ≈ 66.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos B = 
= 
= 
, thus
B = 
( ) ≈ 66.42° ( to the nearest hundredth )
Answer:
you need to read 11 or more books to pass your goal
Step-by-step explanation:
You simply do 1500 ÷ 10 to work out how many pages she needs to read in one day. The answer is 150 pages everyday.
20
Formula for perimeter: length x 2 + width x 2
70x2 is 140 then subtract it from 180 and you’ll get 40, then you half it and get 20
For problems like this, change the wording into simple algebraic
formulas. We know that the area of a rectangle is its width times its
length, or A=LW. The problem tells you that the area is 48, so LW=48.
Also, if the length = twice the width minus 4, then L=2W-4.
From here, substitute your new L value for the L in the first equation:
48=LW --> 48=(2W-4)W
Now solve this equation by factoring it out into a polynomial:
48=2W^2-4W --> 24=W^2-2W --> W^2-2W-24=0 --> (W+4)(W-6)=0.
Solving this equation gives us W values of 6 and -4, but since the width
of a rectangle cannot be negative, the width must be 6.
Since L=2W-4, then L=2(6)-4 --> L=12-4 = 8. Therefore, the dimensions are 6X8, or 6 feet by 8 feet.
To check our work: The length equals four feet less than twice the width: 8=2(6)-4 --> 8=12-4 --> 8=8. This checks out.
Also, the area is 48 ft^2, and (6)(8) = 48, so this also checks out.
Hopefully this helps. If you need any more help or if I went over something too quickly, just let me know.
