I am assuming 20/9 is supposed to be 9/20 because 45% as a fraction is 9/20
So the answer is D
Answer:
D
Step-by-step explanation:
i did it in my head
A. 0.2
B. 7.2
C. 13
D. 14.2
2. Write an algebraic expression for " Julie runs three miles less than twice the number of miles, n, that Hannah runs."
A. 2 n -3
B. 3n -2
C. 2n + 3
D. 3n + 2
3. Solve 5s + 40 = 55 using number sense.
A. 3
B. 15
C. 19
D. 95
4. Translate "the sum of eight and the product of two and y is twenty-four" into an equation.
A. 8y - 2 = 24
B. 8y + 2 = 24
C. 8 + 2y = 24
D. 8 - 2y=24
PLEASE GIVE ME THE CORRECT ANSWERS THANKS!
The rate as a unit rate is 13mph
Given:
Bicyclist rides :1/5 mile in 1/65 hour.
Now let determine rate as a unit rate
Unit rate=1/5÷1/65
Unit rate=(1/5) (65/1)
Unit rate=0.2×65
Unit rate=13 mph
Inconclusion The rate as a unit rate is 13mph.
Learn more here:
1/5mi=1/65hr
65/5mi=hr
13mi hr
The bicyclist rides 13 miles per hour
HOPE THIS HELPS!!!!!!!
Answer:
As per the statement:
The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees.
We draw the figure for this problem as shown below:
Height of the lighthouse(BC) = 100 foot
Angle of depression = 20 degrees.
Since, angle of depression is equal to the angles of elevation
i.e,
using tangent ratio:
Here,
Opposite side = BC = 100 foot
Adjacent side = AB
Angle of elevation:
Substitute these to solve for AB:
or
Simplify:
AB = 294.375362123 foot
Therefore, the distance to the boat approximately is 294.4 foot
By using the tangent function with the given height of the lighthouse and the angle of depression, we can solve for the distance to the boat, which is approximately 274.1 feet.
In this scenario, we can use trigonometry to find the distance to the boat. Since we know that the lighthouse is 100 feet high and the angle of depression is 20 degrees, this fits the scenario for a tangent function, where tangent of an angle equals the opposite side divided by the adjacent side.
Setting up our function, we get tan(20) = 100/ distance to the boat. Since we want to find the distance to the boat, we can rearrange the equation to be distance to the boat = 100 / tan(20).
Doing this calculation, we find that the distance to the boat is approximately 274.1 feet.
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