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Answer:
4%
Step-by-step explanation:
The simple interest formula can be used.
I = Prt
where r is the annual rate and t is the number of years.
1/5 = 1·r·5
(1/5)/5 = r = 1/25 · 100% = 4%
The rate is 4%.
Answer:
Length of the string is .
Step-by-step explanation:
Diagram of the given scenario shown below,
Given that,
Angle of elevation from the point on the ground to the corner of the canopy is 37°.Distance of the corner of a square canopy to a point on the ground is 15 ft.
To find:- Find the length of the string.
So,
Length of string = AC
Length of Base = AB
angle of elevation = ∠CAB
Here, In Triangle ΔABC,
(∠)
Hence, Length of the string is .
Answer:
x = -2
Step-by-step explanation:
7(3x-1)-(x+5)=-52
21x-7-x-5=-52
20x-12=-52
20x=-52+12
20x=-40
x=-2
Three important properties of the diagonals of a rhombus that we need for this problem are:
1. the diagonals of a rhombus bisect each other
2. the diagonals form two perpendicular lines
3. the diagonals bisect the angles of the rhombus
First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is equal to 90° and ∠BAO = 60/2 = 30°.
Since a triangle's interior angles have a sum of 180°, then we have ∠ABO = 180 - 90 - 30 = 60°. This shows that the ΔAOB is a 30-60-90 triangle.
For a 30-60-90 triangle, the ratio of the sides facing the corresponding anges is 1:√3:2. So, since we know that AB = 10, we can compute for the rest of the sides.
Similarly, we have
Now, to find the lengths of the diagonals,
So, the lengths of the diagonals are 10 and 10√3.
Answer: 10 and 10√3 units
Answer:
I don't know the answer to this question.