Answer:
Please see attached image for the sketch with the labels.
Length "x" of the ramp = 11.70 ft
Step-by-step explanation:
Notice that the geometry to represent the ramp is a right angle triangle, for which we know one of its acute angles (
), and the size of the side opposite to it (4 ft). Our unknown is the hypotenuse "x" of this right angle triangle, which is the actual ramp length we need to find.
For this, we use the the "sin" function of an angle in the triangle, which is defined as the quotient between the side opposite to the angle, divided by the hypotenuse, and then solve for the unknown "x" in the equation:
Therefore the length of the ramp rounded to the nearest hundredth as requested is: 11.70 ft
Answer:
h(x)=x²+6 and g(x)=8x-5
prove that hg(x)=19
Step-by-step explanation:
step 1: hog(x)=h[g(x)]
step 2: h(8x-5)
step 3: h(8x-5)= (8x-5)²+6
step 4: (8x-5)(8x-5)+6
step 5: 16x² +15x +6
Answer: what is the problem
Step-by-step explanation:
f(x) = p(x) + 4 shows the correct transformation.
<h3>Define transformations.</h3>
A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. The most typical varieties are listed below: When a figure is translated, it is moved in any direction. Flipping a figure over a line is called reflection. Rotation is the process of turning a figure a specific amount around a point.
Given,
Function
f(x) = p(x) + 4
shows the correct transformation.
To learn more about transformation, visit:
brainly.com/question/11709244
#SPJ9
Because of rules of geometry we know that a+b=180 degrees so we can add the equations together and set that equal to 180 and solve
6x-48+4x+38=180
subtract 38 from both sides and add 48 to both sides
then add like terms
10x=170
and divide by 10 to get
x=17
