Answer:
8 miles a day
Step-by-step explanation:
First you have to subtract the amount of miles she had already gone.
60 - 12 = 48
Next you have to divide by the remaining amount of days (6 days).
48/6 = 8
Answer:
Part 1) ![A=126.87^o](https://tex.z-dn.net/?f=A%3D126.87%5Eo)
Part 2) ![tan(A)=-\frac{4}{3}](https://tex.z-dn.net/?f=tan%28A%29%3D-%5Cfrac%7B4%7D%7B3%7D)
Step-by-step explanation:
we have
![cos(A)=-0.6](https://tex.z-dn.net/?f=cos%28A%29%3D-0.6)
The cos(A) is negative, that means that the angle A in the triangle ABC is an obtuse angle and the value of the sin(A) is positive
The angle A lie on the II Quadrant
step 1
Find the measure of angle A
![cos(A)=-0.6](https://tex.z-dn.net/?f=cos%28A%29%3D-0.6)
using a calculator
![A=cos^{-1}(-0.6)=126.87^o](https://tex.z-dn.net/?f=A%3Dcos%5E%7B-1%7D%28-0.6%29%3D126.87%5Eo)
step 2
Find the sin(A)
we know that
![sin^2(A)+cos^2(A)=1](https://tex.z-dn.net/?f=sin%5E2%28A%29%2Bcos%5E2%28A%29%3D1)
substitute the value of cos(A)
![sin^2(A)+(-0.6)^2=1](https://tex.z-dn.net/?f=sin%5E2%28A%29%2B%28-0.6%29%5E2%3D1)
![sin^2(A)=1-0.36](https://tex.z-dn.net/?f=sin%5E2%28A%29%3D1-0.36)
![sin^2(A)=0.64](https://tex.z-dn.net/?f=sin%5E2%28A%29%3D0.64)
![sin(A)=0.8](https://tex.z-dn.net/?f=sin%28A%29%3D0.8)
step 3
Find tan(A)
we know that
![tan(A)=\frac{sin(A)}{cos(A)}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7Bsin%28A%29%7D%7Bcos%28A%29%7D)
substitute the values
![tan(A)=\frac{0.8}{-0.6}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7B0.8%7D%7B-0.6%7D)
Simplify
![tan(A)=-\frac{4}{3}](https://tex.z-dn.net/?f=tan%28A%29%3D-%5Cfrac%7B4%7D%7B3%7D)
The total number of beads that Lexi could accommodate based
on the on hand items is 101 beads. Subtract the number of beads she needs which
is 144 beads with 101 beads. The amount of beads that would need a box is 43
beads. Since a medium box could only accommodate 10 beads at a time, divide 43
with 10 and the answer would be 4 remainder 3. Thus Lexi would only need 4
medium boxes.
Answer:
The measure of the angles are 61° and 119°
Step-by-step explanation:
Let the first angle = x°
let the second angle = y°
The sum of two supplementary angles = 180°
x° + y° = 180° ----- equation (1)
based on the given question; "the difference of two supplementary angles is 58 degrees."
x° - y° = 58° ------- equation (2)
from equation (2), x° = 58° + y°
Substitute the value of x into equation (1)
(58° + y°) + y° = 180°
58 + 2y = 180
2y = 180 -58
2y = 122
y = 122 / 2
y = 61°
The second angle is given by;
x° = 58° + y°
x = 58° + 61°
x = 119°
Thus, the measure of the angles are 61° and 119°