Well, let's imagine that this is a right triangle, rather than an angle.
The verticle side is 800 and the angle of the horizontal side and the hypotenuse is 5 degrees. We can now find what we need. Since we know that one of the angles is 5 degrees and one angle is 90 degrees, we can add 90 + 5 and now we have 95. Now we do 180 - 95 = 85. This is our missing angle. Now we have a full set of angles. Now we can find the missing side lengths. Let's start with the horizontal side. Now we can find the horizontal side length with the sine rule. This gets us 9,144.042. Now we find the hypotenuse using the Pythagorean Theorem. As you may remember, a^2 + b^2 = c^2. For our purposes, we can find it by 9,144.042^2 + 800^2 = c^2. This gets us with 9,178.971. Now we can conclude that the road is <span>9,178.971 feet long, or </span>1.7384414773 miles. I hope this helps you.
Answer:
The answer is 28, because 7x4=28
Hope this helps ;)
Answer:
the number of black tokens in the bag is 2
Step-by-step explanation:
The computation of the number of black tokens in the bag is as followS
Given that
There is 8 green tokens
and, the ratio of green tokens to black tokens is 4:1
So let us assume the black tokens be x
So,
Now do the cross multiplication
x = 2 tokens
Hence, the number of black tokens in the bag is 2
Answer:
3 x^2 +12x-9
Step-by-step explanation:
5x^2 - (2x-3)^2
We need to FOIL the second term
(2x-3)^2 = (2x-3) (2x-3) = 4x^2 -6x-6x+9 = 4x^2 -12x+9
Replacing it in to the original equation
5x^2 - (4x^2 -12x+9)
Distribute the minus sign
5x^2 - 4x^2 +12x-9
Combine like terms
x^2 +12x-9
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (2,-1) and (4,5),
y2 = 5
y1 = - 1
x2 = 4
x1 = 2
Slope,m = (5 - - 1)/(4 - 2) = 6/2 = 3
To determine the intercept, we would substitute x = 4, y = 5 and m= 3 into y = mx + c. It becomes
5 = 3 × 4 + c
c = 5 - 12 = - 7
The equation becomes
y = 3x - 7
