Answer:
I is the 3rd answer
Step-by-step explanation:
Answer: See explanation
Step-by-step explanation:
ΔLNM and ΔLKN are 30°- 60°- 90° triangles
We have to find the length of LN before we can find the length of MN.
<em>In a 30°- 60°- 90° triangle, the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is the length of the shorter leg times √3</em>
Since the hypotenuse is 6, the short leg would be 3 since the hypotenuse is 2 times the length of the short leg.
LN = √3 times the shorter leg
3 × √3 = 3√3
LN = 3√3
We now know the length of the longer leg in ΔLNM (3√3)
MN would be 3√3 × √3
3√3 × √3
= 3√9
= 3 × 3 = 9
MN = 9
ΔLKM is also a 30° - 60° - 90° triangle
The short leg is 6 m
The hypotenuse would be 12 m
The longer leg would be 6√3
Perimeter: 6 + 12 + 6√3
The perimeter is 18 + 6√3
Area: 1/2 × b × h
b = 6√3
h = LN = 3√3
6√3 × 3√3
18√9 = 18 × 3 = 54
Area: 54 m²
Hope it helps!!
Answer:
4.5^3 because we know v=lwh. since its a cube l, w, h will all equal 4.5
Answer:
The length would be 30 and the width would be 20
Step-by-step explanation:
For the purpose of this, we'll set the width as x. We can then define the length as x + 10 since we know it is 10 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.
P = 2l + 2w
100 = 2(x + 10) + 2(x)
100 = 2x + 20 + 2x
100 = 4x + 20
80 = 4x
20 = x
Now since we know that the width is 20ft, we can add 10ft to it to get the length, which would be 30ft.
Answer:
So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account
Step-by-step explanation:
