Answer:
They provide you with a graph that already has all the numbers and there is a data table. The data table lists all the numbers you have to plot onto the graph.
How to graph: The first number is 27, which is the vehicle weight in hundreds of lbs. On the graph, you can see that on the x-axis, it says weight (in hundreds of lbs). So first, look at the x-axis numbers and find somewhere between 25 and 30 and try to estimate where 27 would be.
Now look at the city MPG value that corresponds to 27, the weight value. It is 25. That's perfect because it is exactly the intervals the graph is in. So find 25 on the y-axis since the y-axis represents the city MPG. Now draw a straight line from the 25 on the y axis to the right. Then, draw a line from the 27 on the x axis straight up and where the two meet is the first point. Obviously, you don't need to make it that complicated if you don't need all the extra steps to understand but it is just in case you don't know how to graph the points.
Repeat for the rest of the points (make sure you use the correct corresponding points). Good luck on your test!
Step-by-step explanation:
Answer:
B) x = 8
; y = 4
Step-by-step explanation:
in a 30-60-90° triangle the sides, respectively, are in the ratio of
1 :
: 2
we can find 'x' by creating this proportion:
12/
= x/2
cross-multiply to get:
x = 24
x = 24/
we can simplify this by 'rationalizing the denominator' which is to
multiply numerator and denominator by
to get:
(24
)÷3, which is 8
we know that side 'y' is half that of side 'x'
therefore y = 4
Answer:

Step-by-step explanation:
Area of the shaded region→

→ 
→

hope it helps..
have a great day!!!
Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Answer:
trapezoid
Step-by-step explanation: