Answer: 3528.25
Step-by-step explanation:Make a sideview sketch
you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°
the side opposite the 3° angle is 1000
by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)
x/sin24 = 1000/sin3
x = 1000sin24/sin3
let the height of the mountain be h
sin 27 = h/x
h = x sin27 = (1000sin24/sin3)(sin27)
= 3528.25
It would be B. because if you put the numbers on a number line, you notice that -14 is further down than -3 since -3 is closer to 0, so -14 is less than -3
Answer:
6 days
Step-by-step explanation
2/3 cups x 3 days = 2 cups
2 cups x 2 cups = 4 cups
4 cups = 6 days
Answer:
4^-2
Step-by-step explanation:
The rules of exponents tell you ...
(a^b)(a^c) = a^(b+c)
This means ...
(4^6)(4^-8) = 4^(6-8) = 4^-2
You use PEMDAS. Start by distributing the terms in the parentheses. The isolate the variables. To do that you subtract x from one side of the equation to the other side. You always do the other operation. If it is adding you subtract, if your multiplying your dividing and the other way around. Then you subtract 10 from each side. This equation has many solution because all the terms cancel out.
