Answer: 9/12
Step-by-step explanation:
1. 1/4+2/8 (common denominators)
2/8+2/8=4/8 or 1/2
2. 1/2+3/12 (common denominators)
6/12+3/12= 9/12
The correct answer should be A because you have to have a common denominator in order to solve so you take 5/6x and 4/6x and solve.
Answer:
384 cm²
Step-by-step explanation:
The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.
To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:
For parallelogram:
Height (H) = 7.5 cm
Base (B) = 24 cm
Area of parallelogram (A₁) =?
A₁ = B × H
A₁ = 24 × 7.5
A₁ = 180 cm²
For rectangle:
Length (L) = 24 cm
Width (W) = 8.5 cm
Area of rectangle (A₂) =?
A₂ = L × W
A₂ = 24 × 8.5
A₂ = 204 cm²
Finally, we shall determine the area of the shape.
Area of parallelogram (A₁) = 180 cm²
Area of rectangle (A₂) = 204 cm²
Area of figure (A)
A = A₁ + A₂
A = 180 + 204
A = 384 cm²
Therefore, the area of the figure is 384 cm²
Answer:
A
Step-by-step explanation:
Cosine is the ratio of "adjacent" to "hypotenuse"
With respect to the Angle E, the adjacent side is FE and the hypotenuse (always opposite side to 90 degree angle) is DE.
We are given DE = 26, but we need FE. We will solve for FE using Pythagorean Theorem, which tells us:
leg^2 + another leg^2 = hypotenuse^2
So, we will have:
10^2 + FE^2 = 26^2
Now, we solve for FE:

So,
Cos(E) = adj/hyp = 24/26
Correct answer is A