Answer:
Yes, it will
Step-by-step explanation:
Given
Length of Ladder = 12 ft
Angle = 64
Required
Determine if it'll reach a height of 10.5ft from the base
See attachment for proper illustration.
<em>From the attachment, we want to determine that x be greater than 10.5</em>
Using sin formula:
Multiply through by 12
(Approximated)
<em>Since 10.79 is greater than 10.5, then the ladder will reach the window</em>
sin64 = x/12
x = 12* sin64
Answer:
34 + 8n
Step-by-step explanation:
a₁ = 42
a₂ = a₁ + 8 = 42 + 8 = 50
a₃ = a₂ + 8 = 50 + 8 = 58
a₄ = a₃ + 8 = 58 + 8 = 66
Arithmetic sequence: 42, 50 , 58 , 66, ......
a₁ = 42 ; d = 8
= a₁ + d(n-1)
= 42 + 8(n - 1)
= 42 + 8n - 8
= 34 + 8n
Answer:
23.3333333 miles per hour
23 1/3 miles per hour
10.43093333333333 meters / second
Step-by-step explanation:
Take the distance and divide by the time to find the speed
70 miles / 3 hours
1 mile = 1609.34 meters
1 hours = 3600 seconds
70 miles /3 hours * 1 mile /1609.34 meters * 1 hours / 3600 seconds
10.43093333333333 meters / second
So,
We'll just use A to represent both Jan and Mya's miles, since they ran the same number.
We have the equations:
1. Jan (J) = Mya (M)
2. Sara (S) = M - 8
3. 2A + S = 64
J = M
S = M - 8
We'll just use A to represent both J and M.
S = M - 8
We'll use Elimination by Substitution.
2A + A - 8 = 64
Collect Like Terms
3A - 8 = 64
Add 8 to both sides
3A = 72
Divide both sides by 3
A = 24
Since
A = J
and
A = M
and
J = M
then
J = 24
M = 24
Substitute
S = 24 - 8
S = 16
Check
24 + 24 + 16 = 64
64 = 64 This checks.
So,
J = 24
M = 24
S = 16
Answer: 14 tons
$3,860.50
Step-by-step explanation:
Let x = the amount of sugar transported.
First company:
The cost is $3157 truck rental plus $50.25 per ton of sugar.
Total cost = 3157 + 50.25x dollars
Second company:
There is no charge for truck rental, but it costs $275.75 per ton of sugar.
The total cost is
275.75x
When the two costs are the same, then
275.75x = 3157 +50.25x
225.5x = 3157
x = 14 tons
The total cost is 275.75*14 = $3,860.50
