Answer:
<h2> Amount in liters is 47.9 liters</h2>
Step-by-step explanation:
The Question is incomplete, it does not provide the measurements or options to choose from, but we can estimate the answer
Step one:
Given data
Taryn Bought 12.6gallons of gasoline
1 gallon of gasoline is 3.8 liters
We want to convert from gallons to liters
Step two:
----if 1 gallon has 3.8 liters
then 12.6 gallons will have x liters
cross multiply we have
x= 12.6*3.8
x=47.88 liters
Hence the estimated amount in liters is 47.9 liters
Answer:
a) F
b) B, E, D
Step-by-step explanation:
a) The segment with the greatest gradient has the largest change in y-values per unit change in x-values
From the given option, the rate of change of the <em>y </em>to the<em> </em>x-values of B = the gradient = (4 units)/(2 units) = 2
The gradient of F = (-3units)/(1 unit) = -3
The gradient of A = 4/4 = 1
The gradient of C = -2/5
The gradient of D = 2/6 = 1/3
The gradient of E = 3/4
The segment with the greatest gradient is F
b) The steepest segment has the higher gradient
From their calculated we have;
The gradient of segment B = 2 therefore, B is steeper than E that has a gradient of 3/4, and E is steeper than D, as the gradient of D = 1/3
Therefore, we have;
B, E, D.
A square is a geometrical figure that has 4 congruent sides and angles. This means all side lengths and angles are the same.
A rectangle is a geometrical figure that has 4 similar sides but are not the same length. However, a rectangle does have congruent angles. A rectangle has 2 sides that are double the other 2 sides, in which both of each (length & width) have the same measurement.
I hope this helps!
Answer:
<em>Gerry arrived at the bus station at 12:30 P.M.</em>
Step-by-step explanation:
From noon and 5:00 P.M. there are 5 hours.
Gerry, Dale, and Pat arrived at the bus stop within that interval, which means the sum of the times elapsed between their arrival times must be 5.
4 out of the 5 hours elapsed since Gerry and Dale's arrivals. This means there is only one hour left for twice x.
If twice x is one hour, then x is half an hour. Thus, the complete sequence of arrivals is:
Gerry arrived at the bus station at 12:30 P.M.
Dale arrived at the bus station at 4:30 P.M.
Pat arrived at the bus station at 5:00 P.M.
Answer:
4.
![x=8\sqrt{3}](https://tex.z-dn.net/?f=x%3D8%5Csqrt%7B3%7D)
![y=16](https://tex.z-dn.net/?f=y%3D16)
5.
![x=3](https://tex.z-dn.net/?f=x%3D3)
![y=3\sqrt{3}](https://tex.z-dn.net/?f=y%3D3%5Csqrt%7B3%7D)
Step-by-step explanation:
The sides of a (30 - 60 - 90) triangle follow the following proportion,
![a-a\sqrt{3}-2a](https://tex.z-dn.net/?f=a-a%5Csqrt%7B3%7D-2a)
Where (a) is the side opposite the (30) degree angle, (
) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,
4.
It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.
The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (
). Thus the following statement can be made,
![x=8\sqrt{3}](https://tex.z-dn.net/?f=x%3D8%5Csqrt%7B3%7D)
The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,
![y=16](https://tex.z-dn.net/?f=y%3D16)
5.
In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,
The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,
![y=3\sqrt{3}](https://tex.z-dn.net/?f=y%3D3%5Csqrt%7B3%7D)
The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,
![x=3](https://tex.z-dn.net/?f=x%3D3)