Answer:
x=-5
Step-by-step explanation:
Answer:
x = 27 and m<A = 49 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees
3x-17+x+40+2x-5 = 180
6x + 18 = 180
6x = 162
x = 27
<A = 2x - 5
< A = 2(27) - 5
<A = 49 degrees
Answer: The value of the sine of ∠C is 0.28.
Step-by-step explanation:
Let's draw a triangle again (see the picture below).
Remember SOHCAHTOA? It's:
-sin = opposite/hypotenuse
-cos = adjacent/hypotenuse
-tan = opposite/adjacent.
We need to use sin in here.
The sin of C is
, which in a calculator, gives ![0.28](https://tex.z-dn.net/?f=0.28)
Answer:
![x=\frac{83}{36}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B83%7D%7B36%7D)
Step-by-step explanation:
1) Convert
to improper fraction. Use this rule:
.
![x-\frac{2\times4+1}{4} = \frac{1}{18}](https://tex.z-dn.net/?f=x-%5Cfrac%7B2%5Ctimes4%2B1%7D%7B4%7D%20%3D%20%5Cfrac%7B1%7D%7B18%7D)
2) Simplify
to 8.
![x-\frac{8+1}{4} =\frac{1}{18}](https://tex.z-dn.net/?f=x-%5Cfrac%7B8%2B1%7D%7B4%7D%20%3D%5Cfrac%7B1%7D%7B18%7D)
3) Simplify
to 9.
![x-\frac{9}{4} =\frac{1}{18}](https://tex.z-dn.net/?f=x-%5Cfrac%7B9%7D%7B4%7D%20%3D%5Cfrac%7B1%7D%7B18%7D)
4) Add
to both sides.
![x=\frac{1}{18} +\frac{9}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B18%7D%20%2B%5Cfrac%7B9%7D%7B4%7D)
5) Simplify
to
.
![x=\frac{83}{36}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B83%7D%7B36%7D)
Decimal Form: 2.305556
Answer:
Step-by-step explanation:
Let x represent the time that they spent biking at the first speed.
If the ride was six hours long, it means that the time they spent biking at the other speed is (6 - x) hours.
Distance = speed × time
For the first part of the ride, they biked at a speed of 7 mph. This means that the distance travelled during the first part of the ride is
7 × x = 7x
For part of the ride, they biked at a speed of 11 mph. This means that the distance travelled during the second part of the ride is
11(6 - x)
Since the total distance that the kids traveled is 54 miles, then
11(6 - x) + 7x = 54
66 - 11x + 7x = 54
11x - 7x = 66 - 54
4x = 12
x = 12/4 = 3
They spent 3 hours biking at the first speed.
They spent 6 - 3 = 3 hours biking at the other speed.