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Elena L [17]
3 years ago
5

Simplify using positive exponents only (2x^3y^3)^-2(4^-1x^5y^-2)^2

Mathematics
1 answer:
amm18123 years ago
7 0

Answer:

x 4/ 64 y 10

Step-by-step explanation:

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Mr. Indigo purchased some trees to plant in his backyard. He bought three oak trees for $23 each and an elm tree for $42. What w
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Answer:

Total cost = $111

Step-by-step explanation:

Given:

Total number of oak tree = 3

Total number of elm tree = 1

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Total cost

Computation:

Total cost = 3[Each oak tree cost] + 1[Each elm tree cost]

Total cost = 3[23] + 1[42]

Total cost = 69 + 42

Total cost = $111

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3 years ago
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Step-by-step explanation:

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The legs of a right triangle are 12 cm and 16 cm. What is the length of the hypotenuse? 15 cm 17 cm 20 cm 28 cm
GalinKa [24]
Answer: 20 cm

To solve this, use the Pythagorean Theorem, a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse of the right triangle.
**The Pythagorean Theorem only works for right triangles.**

Substitute in the values.
a² +  b² = c²
12² + 16² = c²

Solve for c, the hypotenuse.
12² + 16² = c²               
144 + 256 = c²
400 = c²
c = √400
c = 20

7 0
3 years ago
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Since the problem is not telling us the height of Silvio, we are going to assume it is not relevant for our calculations.
Let h the altitude of the incoming plane. We know for our problem that the distance between Silvio and the tower is 3 miles, Also we know that the angle of elevation to the plane is 40°. With this information we can create a triangle as shown in the figure. We need a function that relates the angle of elevation with its opposite and adjacent sides, that function is tangent.
tan \alpha = \frac{opposite.side}{adjacent.side}
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h=3tan(40)
h=2.5miles

We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is h=3tan(40).

4 0
3 years ago
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