An angle with its vertex at the center of a circle intercepts an 80° arc of that circle.

Mathematics

1 answer:

AlladinOne [14]2 years ago

4 0

let's recall that, arc's angle measures come from the central angle they're in.

if this intercepted arc is 80°, and is intercepted by an angle stemming from the center, namely a central angle, then the angle is also 80°. Check the picture below.

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Use trig ratios to find the measure of the angle in this triangle. A .cos^-1(4/5) B. tan(4/5) tan^-1(4/5) C. sin(4/5) D. cos(4/5

ololo11 [35]

Answer:

The answer is A

Step-by-step explanation:

Step 1: Use Cosine to find ∅

Cos∅= $\frac{4}{5}$

∅=Cos $^{-1}$ ( $\frac{4}{5}$ )

Therefore the answer is A

8 0

2 years ago

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Butoxors [25]

Answer:

A: Linear

B: Nonlinear

C: Linear

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Molly opened a savings account with a one‐time deposit of $100 that will be left in the account for at least 5 years. The saving

Anettt [7]

The amount of interest Molly will earn after 5 years on a deposit of $\$100$ compounded annually over 5 years is $\$27.63$

First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.

The future value of an investment that is compounded annually is given by

$A=P(1+r)^t$

where

$A=\text{Amount of money in Molly's account after 5 years}\\P=\text{Molly's initial deposit into her account}=\$500\\r=\text{The annual interest rate as a decimal}=0.05\\t=\text{The time the money is invested (in years)}=5$