9514 1404 393
Answer:
7.6
Step-by-step explanation:
The relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(51°) = x/12
x = 12·cos(51°) ≈ 7.552
x ≈ 7.6
Answer:
The sum of the angles in any triangle is 180 degrees. If one of the three angles is 90 degrees (a right angle) the the sum of the other two angles is 90 degrees. Therefore each of the other two angles must be acute.
The statement is TRUE.
Step-by-step explanation:
In the given graph, lets mark two points:
Let
and ![B = (4,-2)](https://tex.z-dn.net/?f=B%20%3D%20%284%2C-2%29)
The slope of the line is given by:
![m = \frac{(-2)-(-3)}{(4)-(0)}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%28-2%29-%28-3%29%7D%7B%284%29-%280%29%7D)
![m = \frac{-2+3}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-2%2B3%7D%7B4%7D)
![m = \frac{1}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
The equation of the line is given by:
![(y-y_1)=m(x-x_1)](https://tex.z-dn.net/?f=%28y-y_1%29%3Dm%28x-x_1%29)
![(y-(-3))=(\frac{1}{4})(x-0)](https://tex.z-dn.net/?f=%28y-%28-3%29%29%3D%28%5Cfrac%7B1%7D%7B4%7D%29%28x-0%29)
![4(y+3)=x](https://tex.z-dn.net/?f=4%28y%2B3%29%3Dx)
![4y+12=x](https://tex.z-dn.net/?f=4y%2B12%3Dx)
![4y=x-12](https://tex.z-dn.net/?f=4y%3Dx-12)
![y= \frac{1}{4}x-3](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B4%7Dx-3)
Therefore, the function equation represented by the graph is: ![f(x)= \frac{1}{4}x-3](https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cfrac%7B1%7D%7B4%7Dx-3)
The time take for the cyclist to travel from Fort Worth to Fresno is ![90 \ hours](https://tex.z-dn.net/?f=90%20%5C%20hours)
Explanation:
It is given that the distance from Fort Worth to Fresno is 1,530 miles.
The average speed of the cyclist is 17 miles per hour.
The time travelled by the cyclist can be determined using the formula,
![Distance=Speed \times Time](https://tex.z-dn.net/?f=Distance%3DSpeed%20%5Ctimes%20Time)
Substituting the value of distance and speed, we get,
![1530=17\times Time](https://tex.z-dn.net/?f=1530%3D17%5Ctimes%20Time)
Dividing both sides by 17, we get,
![90 =Time](https://tex.z-dn.net/?f=90%20%3DTime)
Thus, the time take for the cyclist to travel from Fort Worth to Fresno is ![90 \ hours](https://tex.z-dn.net/?f=90%20%5C%20hours)
Answer:
Let's complete the fishbone diagram given below
thats what they said
Step-by-step explanation: