C would be 49 degrees bc a triangles angles have a sum of 180 so 72+59+X= 180
Answer:
Number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600
Explanation:
Lowest four digit positive integer = 1000
Highest four digit positive integer less than 4000 = 3999
We know that multiples of 5 end with 0 or 5 in their last digit.
So, lowest four digit positive integer which is a multiple of 5 = 1000
Highest four digit positive integer less than 4000 which is a multiple of 5 = 3995.
So, the numbers goes like,
1000, 1005, 1010 .....................................................3990, 3995
These numbers are in arithmetic progression, so we have first term = 1000 and common difference = 5 and nth term(An) = 3995, we need to find n.
An = a + (n-1)d
3995 = 1000 + (n-1)x 5
(n-1) x 5 = 2995
(n-1) = 599
n = 600
So, number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600
Answer:
∠EPH = 107°
Step-by-step explanation:
∠EPH is an angle formed by two intersecting chords.
arc FG and arc EH are the arcs ∠EPH intercepts.
The relationship between an angle formed by intersecting chords and their intercepted arcs is that the angle is equal to half the sum of its intercepted arcs.
Which means that ∠EPH = 1/2 ( arc FG + arc EH )
If arc FG = 120° and arc EH = 94°
Then ∠EPH = 1/2 ( 120 + 94 )
120 + 94 = 214
214 / 2 = 107
Hence, ∠EPH = 107°
Answer:
Step-by-step explanation:
Given
Shape: Circle
Required
The area and the circumference (relationship)
This implies that, we write an expression that relates the area and the circumference.
Circumference is calculated as:
Area is calculated as:
The area can be rewritten as:
Further rewrite as:
Recall that:
So, the expression becomes
All my work is shown in the image.
