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Debora [2.8K]
3 years ago
7

If these two shapes are similar, what is the measure of the missing length j?

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0

Answer:

2

Step-by-step explanation:

If two shapes are similar, this means the ratio of similar sides to each other are the same.

So, in the green shape, the long side length is 5 mm. In the purple shape, the long side length is 10 mm in length. The ratio is therefore 5 to 10, which can be simplified to 1 to 2 (which is basically saying that the side lengths of the purple shape are double the length of the sides of the green shape).

Using the same 1 to 2 ratio, you know that the short side length on the green shape is 1. The short side length on the purple shape (j) must therefore be double, which is 2.

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a times (a+b)= c times (c+d)

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2 years ago
The cost, in dollars, to produce 1 watt of solar energy is a function of the number of years
MrRissso [65]

Answer:

In the figure attached, the graph of the function is shown.

1. f(9) ≈ 6 means that at t = 9 (year 1977 + 9 = 1986) the cost to produce 1 watt of solar energy was $6

2. f(4) ≈ 25, which means at year 1981 (=1977 + 4) the cost was $25 per watt  

f(3.5) ≈ 28, which means at half of year 1980 (=1977 + 3.5) the cost was $28 per watt  

3. When f(t) = 45, t is equal to 2, which means that the year wass 1979 (= 1977 + 2)

4. From the graph we can compute the following table:

x  |  y

0  |  80

1   |  60

The general exponential decay formula is:

f(x) = a*b^x

where <em>a</em> is the initial value and <em>b</em> si the decay factor. Replacing with data from the table:

f(0) = a*b^0

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2 years ago
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Murljashka [212]

Answer:

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x ----> the number of days
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3 years ago
One zero of the polynomial function f(x) = x3 − 9x2 + 20x is x = 0. What are the zeros of the polynomial function? 0, −5, −4 0,
jeyben [28]

Answer:

Step-by-step explanation:

As x = 0 is a zero, (x + 0) is a factor.

Dividing the equation by (x + 0) leaves x² - 9x + 20.

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x = 5

The zeros are at 0, 4, and 5.

Which can be verified by using a plotting calculator.

3 0
2 years ago
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