Answer:
A) -0.3 of an inch per second
Step-by-step explanation:
You'll have to put (2, 8.4) and (4, 7.8) into the slope formula.
It's represented as (∆y)/(∆x) = m
(y1 + y2)/(x1 + x2) = m
You subtract both y's in the numerator and subtract both x's in the denominator.
Like this:
(8.4-7.8)/(2-4) = m
(0.6)/(-2) = m
-0.3 = m
Answer:
option D.
Step-by-step explanation:
let's take any point on the graph. let's say (2, 16)
and one point we know is (0, 0)
= 16($) / 2 (hrs)
= 8 $/ hrs
that is option D.
It is given that area( Δ ab c) =6 square units.
Also ab║d e
⇒b d =4 b c
I have depicted picture below.
Consider Δ cde in which points a and b are in the interior such that ab║de.
So, as you know that if in a triangle line joining two points is parallel to third side then the two sides are proportional.i.e
⇒ca/ae =cb / bd
Also, ∠ c is common.
∴Δcab is similar to Δ cde.
As we know if ratio of areas of two similar triangles is square of their corresponding sides.
=![\frac{Ar(Δcab)}{Ar(Δcde)}=[\frac{cb}{bd}]^2](https://tex.z-dn.net/?f=%5Cfrac%7BAr%28%CE%94cab%29%7D%7BAr%28%CE%94cde%29%7D%3D%5B%5Cfrac%7Bcb%7D%7Bbd%7D%5D%5E2)
⇒6/Δcde =1/4
⇒Ar (Δ cde)=6×4
Ar (Δ cde) =24 square centimeter
The measure of the angle created by the car's turning is 105°
Step-by-step explanation:
Given : a car is traveling east on 4th Street and turns onto King Avenue heading northeast.
We have to calculate the measure of the angle created by the car's turning.
Since, car is travelling in east direction on 4th street that is from A to D as shown below in image by arrow.
Then at point B, the car turns toward King Avenue heading northeast. that is B to C as shown below in image
Since, we need to calculate the measure of the angle created by the car's turning that is measure of ∠ABC.
AD is a straight line, thus measure of any angle at line segment AD is 180° as angles on one side of a straight line always add to 180 degrees
Therefore, at B,
∠ABC + ∠CBD = 180°
Aldo given , ∠CBD = 75°
Thus, the measure of ∠ABC is ,
⇒ ∠ABC = 180° -∠CBD
⇒ ∠ABC = 180° - 75°
⇒ ∠ABC = 105°
Thus, the measure of the angle created by the car's turning is 105°
The total number of miles Sabrina will run the following week will be 5.25 miles
