Answer:
3/5
Step-by-step explanation:
Soh Cah Toa
In some trigonometry classes, this acronym is very important to solving questions like this.
Why?
It tells us the right triangle-definition of these trigonometry functions.
We have that cosine of an angle is equal to tge side that is adjacent to it over the hypotenuse.
So here we are asked to find cos(B).
Lets look at triangle respect to the angle B
The measurement of the side that is opposite is 64.
The measurement of the side that is adjacent is 48.
The measurement of the hypotenuse is 80.
So cos(B)=48/80.
Let's reduce. 48 and 80 have a common factor of 8 so divide numerator and dexter by 8. This gives us:
cos(B)=6/10.
One more step in reducing. Both factors are even so cos(B)=3/5.
Answer:
Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?
Step-by-step explanation:
Answer:
x=-1
Step-by-step explanation:
3x+12-8x=19+2x (combine liked terms)
-5x+12+19=2x (move variable to the left-hand side and change its sign)
-5x-2x+12=19 (combine liked terms)
-7x=19-12 (divide both sides of the equation by -7)
x=-1
Answer:
The remaining area of the circle is 196.06 cm².
Step-by-step explanation:
<em>(area of circle) - (area of triangle)</em><em> </em><em>=</em><em> </em><em>remaining</em><em> </em><em>area </em><em>of </em><em>the </em><em>circle</em>
<em>πr² - ½bh</em>
<em>3.14(8)² - ½(3)(4)</em>
<em>3.14(64) - ½(12)</em>
<em>202.06 - 6</em>
<em>= 196.06</em>
Use long division to find the quotient below (x²+15x+56)÷(x+8) = x + 7
