97 is a prime number.
Prime factorization: 97 is prime.
The exponent of prime number 97 is 1. Adding 1 to that exponent we get (1 + 1) = 2 Factors of 97: 1, 97.
Factor pairs: 97 = 1 x 97.
97 has no square factors that allow its square root to be simplified. √97 ≈ 9.8488578.
5. a^2 + b^2 = c^2...where a and b are the legs and c is the hypotenuse
7^2 + 10^2 = c^2
49 + 100 =c^2
149 = c^2....take square root of both sides, eliminating the ^2
sq rt 149 = c
12.21 = c.....so the approximate length of 3rd side is 12 m
6. x = number of books bought
7. m < 2 + m < 8 = 180
8. 1000 = 400 + 24x
1000 - 400 = 24x
600 = 24x
600/24 = x
25 = x <=== 25 months he will have spent $ 1000
Answer:
Explanation:
The surface of a lake represents a <em>plane</em> because it extends in all directions at the same level. Imagine it as a quite surface, without imperfections, smooth and perfectly plane, it is a two-dimensional figure.
A fishing line that enters into the water, crossing the lake's surface, representes a <em>line, </em>which may be either perpendicular or leaned.
Thus the intersection of those two figures is a point.
A surface and a line that is not included in the plane and is not parallel to it will meet at a single point, which is what is represented by the situation stated.
Answer:
See below
Step-by-step explanation:
the common ratio, r <1 so it CONVERGES (r = 1/2 in this series)
sum = a1 ( 1-r^n) / (1-r) = 1000(1-.5^10)/(1-1/2) = ~1998
for n= 30 this results in ~~2000
As it continues, the terms get smaller and smaller and the SUM converges on 2000.
Answer:
The angles are <u>155°</u> and <u>25°</u>.
Step-by-step explanation:
Given:
Two supplementary angles are in the ratio of 31:5.
Now, to find the angles.
The sum of two supplementary angles = 180°
Let the ratio of the angles be 
.
So, according to question:
<em>Dividing both sides by 36 we get:</em>
So, 
And, 
Therefore, the angles are 155° and 25°.
