Answer:
<u>A. 17 miles per galllon</u>
16-12 = 4
68/4 = 17
B. This question sounds kinda wonky to me but I think <u>$8.08</u>
2.02 x 4 = 8.08
When expanded it would be 3+0.4+0.04+0.001. There is two fours, but because it is written in expanded form you can see that one is four tenths and the other is four hundredths. Although they are the same digit, you can see that they are different values, the way you wrote it helping you with that.
Answer:
A) x = 11 tan 49°
B) 12.7 inches
C) 14.7 inches
Step-by-step explanation:
(refer to attached for reference)
Let the length of the vertical side of the triangular sail be x
recall that for right angle triangle, the following trigonometric relation applies:
tan θ = length of opposite side / length of adjacent side
in our case,
θ = 49°
length of adjacent side = 11 inches
length of opposite side = length of vertical edge of sail = x (which we defined above)
hence we can assemble our formula
tan 49° = x / 11 (rearranging)
x = 11 tan 49° (Answer for A)
Using a calculator to solve this gives
x = 12.65 inches
x = 12.7 inches (to nearest tenth) (Answer for B)
The height of the mast is merely the height of the sail plus the 2" length of mast extending below the sail.
Mast height = 12.7" + 2" = 14.7" (Answer for C)
5.2 x 10^-2 is your answer. I hope this helps love! :)
#66 Dimensions of matrix: The dimensions of a matrix are
[number of rows (across) x number of columns (up and down)]
There is 1 row and 4 columns, hence the dimensions of [1 x 4]
#71: use factor/label conversion method.
480 minutes 1 hour 480 hours 8 hours
* -------------- = -------------- =
60 minutes 60 minutes
#72: common difference is how you get from one number to the next in the sequence. So from 42 to 38, you subtract 4, and the pattern is subtract 4 for the whole sequence. So the common difference <em></em>is -4
#38: The midpoint is the middle of the two coordinates, so imagine when used to find mean by drawing a number line like 1 to 10 and the mean would be 5. What did you do? You added 1 and 10 and divided by 2.
You can use the same method for finding midpoints on the coordinate plane.
The formula for midpoint is <span><span>(<span><span>x1+x</span>2</span>)</span>,<span>(<span><span>y1+y</span>2</span>). So it's (5 + 2) , (8 + 7) which equals (7, 15).
#35: This is the same 3* x^(9*1/5) = 3*x^9/5
Remember square root of a number is the same as that number to the 1/2, and the same with all other roots. The fifth root of x is the same as x to the power of 1/5
#36: This is the same as 36*( x^5*3/2 * y^3*3/2), since you can put the power to each of the numbers almost like the distributive property.
= 36 * (x^15/2 * y^9/2)
Well #20 is <em>extremely</em><em> </em>easy. The solutions are anything that is shaded in the blue
The rightmost question is the same thing as #20. Anything not shaded is not a solution.
</span></span>
#64: Just like you learned in elementary school, the median is the middle number. The middle number is 10<span>
</span>