Answer:
B. h = 7.4 inches
Step-by-step explanation:
height of the laptop screen = h
d = 12.1 in.
w = 9.6 in.
We are given the formula,
d = √(w² + h²)
Plug in the values and solve for h
12.1 = √(9.6² + h²)
Square both sides
12.1² = 9.6² + h²
146.41 = 92.16 + h²
146.41 - 92.16 = h²
54.25 = h²
√54.25 = h
7.4 = h (nearest tenth)
h = 7.4 inches
Answer:
There are now 6.5 ounces in the new bag.
Step-by-step explanation:
To solve this question, take 30% of 5 and add it to the original amount of 5
30% = 0.30
5 * 0.30 = 1.5
5 + 1.5 = 6.5 ounces of candy.
Hope this helps!
Answer:
2
Step-by-step explanation:
<u>Given AP where:</u>
<u>To find</u>
<u>Since</u>
- a₄ = a₁ + 3d
- a₂ = a₁ + d
- a₆ = a₁ + 5d
<u>Initial equations will change as:</u>
- a₁ + 3d = 2(a₁ + d) - 1 ⇒ a₁ + 3d = 2a₁ + 2d - 1 ⇒ a₁ = d + 1
- a₁ + 5d = 7 ⇒ a₁ = 7 - 5d
<u>Comparing the above:</u>
- d + 1 = 7 - 5d
- 6d = 6
- d = 1
<u>Then:</u>
- a₁ = d + 1 = 1 + 1 = 2
- a₁ = 2
The first term is 2
Answer:
There is no value of x to fit this requirement.
Step-by-step explanation:
The 2 perimeters in terms of x are:
4(x + 3) for the square and
2(x+1) + 2(x +4) for the rectangle
and these need to be equal so
we equate these 2 and solve for x:
4(x + 3) = 2(x+1) + 2(x +4)
4x + 12 = 2x + 2 + 2x + 8
4x + 12 = 4x + 10
4x - 4x = 10 - 12
0 = -2 which is of course absurd so there is no solution to this equation.
