7th grader needs help, Can someone please answer this is due Monday???????? Part B
1 answer:
Answer: 1) 150 square cm
2) 70.71 square cm
Step-by-step explanation:
1) Here, the side of the cube = 5 cm,
Also, the surface area of a cube =
Thus, the surface area of the given cube =
= 6 × 25
= 150 square cm,
Thus, the total area which is painted = 150 square cm,
2) Since, After cutting the cube along the diagonal we get two prism that having rectangular base that is not covered by paint,
And, the dimension of the base of a prism after cutting the square = 7.071 cm × 5 cm,
Thus, the area of the base of the prism = 7.071 × 5 = 35.355 square cm
⇒ The total area of bases of the two prisms after cutting that is not covered by paint = 2 × 35.355 = 70.71 square cm
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Answer:
a.
Period = π
Amplitude = 4
b.
Maximum at: x = 0, π and 2π
Minimum at: x = π/2 and 3π/2
Zeros at: x = π/4, 3π/4, 5π/4 and 7π/4
Step-by-step explanation:
Part a:
Amplitude represents the half of the distance between the maximum point and the minimum point of the function. So the easy way to find the amplitude is: Find the difference between maximum and minimum value of the function and divide the difference by 2.
So, amplitude will be:
Therefore, the amplitude of the function is 4.
Period is the time in which the function completes its one cycle. From the graph we can see that cosine started at 0 and completed its cycle at π. After π the same value starts to repeat. So the period of the given cosine function is π.
Part b:
From the graph we can see that the maximum values occur at the following points: x = 0, π and 2π
The scale on x-axis between 0 and π is divided into 4 squares, so each square represents π/4
Therefore, the minimum value occurs at x = π/2 and 3π/2
Zeros occur where the graph crosses the x-axis. So the zeros occur at the following points: π/4, 3π/4, 5π/4 and 7π/4
Answer:
2x
Step-by-step explanation:
we can use the Pythagorean Theorem to find the missing side (a):
a² + (2x)² = (8x)²
a² + 4x² = 64x²
a² = 60x²
a = √60x²
a = ·
·
This can be simplified to be 2x