Answer:
It takes 1.5 days for the Kimball family to get to Baltimore
Step-by-step explanation:
Given:
Total distance from the home to Baltimore =
Distance they would travel on each day =
To Find:
How many days it will take the Kimball family to reach Baltimore = ?
Solution:
Lets first convert mixed fraction into fraction
= = =
= ==
Now,
In one day =
In x day =
By Cross multiplication
x = 1.517
x = 1. 5 days
A line and a point can be collinear” is correct about a line and a point.
In geometry a line:
<span>
• is straight (no curves),
• has no thickness, and
• extends in both directions without end (infinitely). </span>
In modern mathematics, a point refers usually to an element of some set called a space. More specifically, in Euclidean geometry, a point<span> is a primitive notion upon which the geometry is built.</span>
first lets solve for x
9x-7y=-7
it will be easier to start if the equation is equal to 0
so first add 7 on both sides
9x-7y=-7
+7 +7
now we have
9x-7y+7=0
now to get x on one side subtract 9x from both sides
<span> 9x-7y+7=0
</span>-9x -9x
--------------------
-7y+7=-9x
now to get x alone we divide both sides by -9
7/9y-7/9=x
Answer:
20.16 meters
82.77º
Step-by-step explanation:
We have that the ramp would have the shape of a rectangular triangle, where the height and width would be the legs and the slope the hypotenuse.
We can solve it by means of the Pythagorean theorem that tells us:
c ^ 2 = a ^ 2 + b ^ 2
a = 2.5 and b = 20, replacing:
c ^ 2 = 2.5 ^ 2 + 20 ^ 2
c ^ 2 = 406.25
c = 20.16
Therefore the slope would be 20.16 meters.
The angle, we will do it using the function: Sin A ° = opposite / hypotenuse
where the opposite is the height, that is to say 20 and the hypotenuse that is the slope is equal to 20.16, replacing:
Without Aº = 20 / 20.16
Without Aº = 0.992
Aº = arc sin (0.992)
Aº = 82.77
Which means that the angle is of the slope with the horizontal is 82.77º
Well number one is an acute angle number two is obtuse and number three is obtuse