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Nutka1998 [239]
2 years ago
6

PLEASE HELP ASAP JUST CLASSIFY THE TRIANGLE NOTHING ELSE​

Mathematics
1 answer:
topjm [15]2 years ago
5 0

Given:

The figure of a triangle.

To find:

The category of the triangle.

Solution:

In the given triangle two angles are equal and their measure is 78 degrees. So, the measure of third angle is

78^\circ+78^\circ+a=180^\circ             (Angle sum property)

a=180^\circ-78^\circ-78^\circ

a=24^\circ

In the given triangle only two angles are equal in means their opposite sides are also equal.

We know that base angles of an isosceles triangle are equal. So, the triangle is isosceles.

All angles are less than 90 degree. So, the triangle is acute.

Therefore, the given triangle is an isosceles acute triangle and the correct option is B.

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Answer:

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

Step-by-step explanation:

Use the formula for continuous compounding

X(t) = Pe^{rt}

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.

(this formula can be beautifully derived from just basic considerations, btw)

We are given t=5, and percent increase on the initial P, so we can solve for r

X(5) = 1.5P=Pe^{r\cdot5}\\1.5=e^{r\cdot5}\\\ln 1.5=\ln e ^{5r}\\\ln 1.5=5r\\r = \frac{\ln 1.5}{5}=0.081\rightarrow 8.1\%

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

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Step-by-step explanation:


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True

Step-by-step explanation:

First, we need to recognize that

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Another method to solve this would be graphing the function y=csc(x)

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