Answer:

Step-by-step explanation:
-0.4(3i + 4i) - 0.3(-2i + 5j) + 0.2(-
+
j)
-1.2i - 1.6j + 0.6i - 1.5j -
i + 0.5j
Converting to fraction form;

<u>Solving the i part;</u>
= 
<u>Solving the j part;</u>
j
So -0.4a - o.3b + 0.2d =
- 
<span>we have to solve simultaneous equations.
x = 10 oz. boxes
y = 16 oz. boxes
simultaneous equations
x + y = 24 ---1)
3.50x + 5.00y = 97.50 ----2)
to solve for x we need to eliminate y, therefore we have to multiply 1st equation by 5
5x + 5y = 120 --3)
subtract 3) - 2)
5x - 3.50x = 120 - 97.50
1.50x = 22.5 x = 15
number of 10 oz. boxes are 15. answer is d.15</span>
Answer:

Step-by-step explanation:
<u>Right Triangles
</u>
In a right triangle, one of the internal angles is 90°. When this happens, there is always a longer side, called hypotenuse and two shorter sides, called legs. They relate to Pythagoras's theorem. The basic trigonometric relations also stand, including
where a is the opposite leg to
and c is its adjacent led .
In our problem, we have a statue being looked by a person in such a way that the top of the statue forms an angle of 8° with the horizontal and the base of the statue forms an angle of 14° down. We also know the distance from the person to the statue is 50 ft. The situation is shown in the image below.
The height of the statue is h=a+b, where
Thus
Answer:
about 151 feet
Step-by-step explanation:
The height of the ball at a time of 3.1 seconds is given by Charlize's equation as ...
h(3.1) = -16(3.1)^2 +3 = -150.76 . . . feet
The well is about 151 feet deep.
_____
<em>Comment on this measurement</em>
The speed of sound is sufficiently slow that it will make a difference in the time Charlize records. She would get a more accurate measurement if she were able to <em>see</em> the ball hit bottom.
25 is the answer..............