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navik [9.2K]
3 years ago
14

A right triangle has one angle that measures 65°. What is the measure of the other acute angle?

Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0
The other angle is 25 degrees.

This is because the sum of all angles must add up to 180. To find the last angle, you must subtract the other angles you know from 180. We know the angle measurements are 65 and 90 (a right angle is 90)
180 - (65+90) = 25
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Write the equation of the graph
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Answer:

y = 2.cos(x) - 2

Step-by-step explanation:

1. Shifting cos(x) right or left, top or down, as the graph in the question has the same illustration of  cos(x). Consider

y = a.cos(x) + b

2. find a and b by using two sample points from the graph: (0, 0) and (\pi, -4)

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The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park
bonufazy [111]

Year      New flowers

1                 1200

2                 300

3                   75

There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year

Initially there are 1200 flowers and start decreasing by \frac{1}{4}

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Its a geometric sequence so summation becomes

i =1∑ ∞ 1200(\frac{1}{4})^{i-1}

Now we find the sum

We use sum formula

Sum = \frac{a}{1-r}

Where a is the first term , a= 1200

r is the common ratio , r= 1/4

Sum = \frac{1200}{1-(\frac{1}{4})}

Sum = \frac{1200}{\frac{3}{4}}

Sum = 1600 wildflowers

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Answer:

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