Answer:
33 feet.
Step-by-step explanation:
We have a triangle whose right angle is formed from the height of the platform h and the water. The leg joining h is 13 feet long and the angle between the end of the platform and the spot on the water where she lands = the angle of depression = 68.5 degrees,
So tan 68.5 = h / 13
h = 13 tan 68.5
h = 33 feet high.
Answer:
Hamburger = $2.5
Fries = $0.80
Step-by-step explanation:
set up a system of equations
y = total cost
x = number of hamburgers
y = number of fries
find a LCF and multiply the equations. I'll be using the LCF of 5 & 2, which is 10 for y. so I will mulitilpy the first equation by 2 to get 10y and then the second by NEGATIVE 5 (-5) so when I combine both equations the y will cancle out because I'll get -10. Doing this, you should end up with this:
when you have this combine the equations to get
then divide both sides by -14 to get
this is the cost of one hamburger
then you plug in x into one of the original equations (I'll use the first equation)
then solve for y to get
this is the cost for fry
if you plug in both the value for x and y into the original equations (like so)
you'll see that they are true (they equal one another)
this means that the cost of a hamburger is $2.50 and the cost of fries is $0.80
Answer:
Step-by-step explanation:
4
Answer:
1. z = 128
2. x = 4.2
3. c = 10
4. w = 100
5. a = 95.2
Step-by-step explanation:
1. Solve for z:
z/16 = 8
Multiply both sides of z/16 = 8 by 16:
(16 z)/16 = 16×8
(16 z)/16 = 16/16×z = z:
z = 16×8
16×8 = 128:
Answer: z = 128
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2. Solve for x:
3.5 x = 14.7
Divide both sides of 3.5 x = 14.7 by 3.5:
(3.5 x)/3.5 = 14.7/3.5
3.5/3.5 = 1:
x = 14.7/3.5
14.7/3.5 = 4.2:
Answer: x = 4.2
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3. Solve for c:
32 = 3.2 c
32 = 3.2 c is equivalent to 3.2 c = 32:
3.2 c = 32
Divide both sides of 3.2 c = 32 by 3.2:
(3.2 c)/3.2 = 32/3.2
3.2/3.2 = 1:
c = 32/3.2
32/3.2 = 10:
Answer: c = 10
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4. Solve for w:
(2 w)/5 = 40
Multiply both sides of (2 w)/5 = 40 by 5/2:
(5×2 w)/(2×5) = 5/2×40
5/2×2/5 = (5×2)/(2×5):
(5×2)/(2×5) w = 5/2×40
5/2×40 = (5×40)/2:
(5×2 w)/(2×5) = (5×40)/2
(5×2 w)/(2×5) = (2×5)/(2×5)×w = w:
w = (5×40)/2
2 | 2 | 0
| 4 | 0
- | 4 |
| | 0
| - | 0
| | 0:
w = 5×20
5×20 = 100:
Answer: w = 100
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5. Solve for a:
a/14 = 6.8
Multiply both sides of a/14 = 6.8 by 14:
(14 a)/14 = 14×6.8
(14 a)/14 = 14/14×a = a:
a = 14×6.8
14×6.8 = 95.2:
Answer: a = 95.2
Answer:
The question is quite literally the answer since they aren't the same kind, they can't be reduced anymore. Hope that helps!
Step-by-step explanation: