Given that length = 14 cm, width = 7 cm, and height(which was not mentioned in the question) is 1.66 cm, we are tasked to f<span>ind the lateral area and the surface area of the box.
To find the lateral area, we need to add the area of the sides of the 3D figure.
L = 2(1.66)(14) + 2(1.66)(7)
=46.48 + 23.34
=69.72 </span><span> ≈ 70 cm^2
</span>To find the surface area,
SA = 2(1.66)(14) + 2(1.66)(7) + 2(14)(7)
=46.48 + 23.24 + 196
=265.72 ≈ 266 cm ^2
The answers are <span>70cm^2 and 266cm^2.</span>
Look at the first line in the first problem.
x y
<span>–6 –6
–4 –3</span>
find the slope:
y2-y1 / x2-x1
-3+6 / -4+6
3 / 2
the slope is 3/2. now plug this into point-slope form, along with one of the ordered pairs. i'll use (-4,-3) because the numbers are smaller.
y-y1=m(x-x1)
y+3=3/2(x+4)
y+3=3/2x+6
y=3/2x+3
now do the same for the other line.
<span>x y
0 3
2 6
actually, this one's convenient, because it tells you the y-intercept is 3 (when an ordered pair has a 0 as its x coordinate, that means its on the y axis). so we just have to find the slope.
y2-y1 / x2-x1
6-3 / 2-0
3/2
the line is y=3/2x+3. it's the same line as before. that means there are infinitely many solutions, because there are an infinite amount of points where the lines "cross" each other (since they lie on top of each other).
follow the same procedure for the next problem. if the equations turn out to be the same, it has infinite solutions. if the two lines have the same slope but different intercepts, that means they're parallel, and have no solution since the lines will never intersect. if the lines have different slopes, they will have one solution. and it makes no sense for lines to intersect at two different points, so you can ignore that option altogether.
hope this helps
</span>
Answer:
speed = 
Step-by-step explanation:
using the formula that relates distance/ speed/ time
distance = speed × time
hence speed = 
=
Your answer would be 3:1
hoped this helped
Answer: 13 (and Sally will always be 3 years older than Jill)
Step-by-step explanation:
Let S and J stand for Sally and Jill's ages. We are told:
- (S-5) = (J-5)+3 [Sally is 3 years older than Jill was <u>5 years ago</u>] The 5 years ago is the reason for the (S-5) and (J-5) expressions.
If Jill is 10, how old is Sally?
(S-5) = (J-5)+3
(S-5) = (10-5)+3
S-5 = 8
S = 13
We actually don't really need an equation for solving this, other than the question asks us to write one. It doesn't matter how many years later, since Sally is 3 years older, she will always remain 3 years older, if we ignore the likelihood that the statement doesn't hold true for the period between their actual birthdays.
