Answer:
The y-intercept is (0, 13).
Step-by-step explanation:
First finf the equation of the line:
The slope = (25- 5) / (3 - -2)
= 20/5
= 4
So its equation is
y - 5 = 4(x + 2)
y = 4x + 13
The y-intercept occurs when x = 0
so y-intercept = 4(0) + 13.
It's (0, 13).
We're given the hypotenuse and one side and we're looking for the missing side so use pythagorean.
20² - 16² = 144²
Square root of 144 = 12 feet
Answer:
Step-by-step explanation:
Sum of angle in a triangle = 180°
<A+<B+<C = 180
Given <B = 50°
Substituting into the formula
<A+50+<C = 180
<A+<C = 180-50
<A+<C = 130°
Since the ∆ABC is an acute triangle, the angles <A and <C must be angles less than 90° since acute angles are angles less than 90°
The possible values of <A and <C that will be acute and give a sum of 130° are;
∠A= 58° and ∠C= 72°
∠A= 80° and ∠C= 50°
∠A= 60° and ∠C= 70°
You can see that all the Angles are less than 90° and their sum is 130°
Answer:
52
Step-by-step explanation:
48+8/2
48+4
52
Answer:
307/500
Step-by-step explanation:
307 is a prime number.
The way to find this out is to take 0.614 and multiply it by 1,000 because then it will be a natural number. 0.614*1,000=614.
now you take 614/1,000 because that's what you multiplied it by and simplify it.
614/2 and 1,000/2=307/500 and this cannot be simplified any more than this because 307 is a prime number.
