Answer:
Option A
10.5 m²
Step-by-step explanation:
The area of a triangle is half the product of its base by its height.
![A = 0.5bh](https://tex.z-dn.net/?f=A%20%3D%200.5bh)
Where b is the base and h is the height.
In this triangle b = 6.1 m.
The height of this triangle is a line perpendicular to its base that goes to the vertex opposite the base.
We do not know this length. But this line h divides the triangle into two rectangular triangles.
So for these two triangles the angle that is opposite to the height h is: 47 °
Therefore we know that senx is defined as:
![senx =\frac{opposite side}{hypotenuse}](https://tex.z-dn.net/?f=senx%20%3D%5Cfrac%7Bopposite%20side%7D%7Bhypotenuse%7D)
Where:
Opposite side = h
hypotenuse = 4.7 m
x = 47
![Sin(47) = \frac{h}{4.7}\\\\h = (sin47)(4.7)\\\\h = 3.437](https://tex.z-dn.net/?f=Sin%2847%29%20%3D%20%5Cfrac%7Bh%7D%7B4.7%7D%5C%5C%5C%5Ch%20%3D%20%28sin47%29%284.7%29%5C%5C%5C%5Ch%20%3D%203.437)
Finally, the area is:
![A = 0.5(3.437)(6.1)\\\\A = 10.5m^2](https://tex.z-dn.net/?f=A%20%3D%200.5%283.437%29%286.1%29%5C%5C%5C%5CA%20%3D%2010.5m%5E2)
Answer:
Blue
Step-by-step explanation:
Red:
400m/20s = 20 m/s
Blue:
660 m/30s =22 m/s
The blue car is faster
Answer:
t > 3
Step-by-step explanation:
3(2t - 6) > -2(3t - 9)
Distribute
6t - 18 > -6t + 18
+6t +6t
12t - 18 > 18
+18 +18
12t > 36
divide both sides by 12
t > 3
hope this helps!!!
Answer:
I think it is 142 I'm not sure if it's right or wrong
Answer:
<h3>
7 + 2x</h3>
Step-by-step explanation:
the product of two and a number x is 2•x
so the sum of <u>seven</u> and the product of two and a number x is:
7 + 2x