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3 years ago

Find the radius or diameter of the circle with the given dimensions

Mathematics

1 answer:

Stels [109]3 years ago

8 0

Answer:

I don't how to do this but check Quizlet‍♂️

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Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

4 0

3 years ago

Dalgliesh the detective fancies himself a shrewd judge of human nature. In careful tests it has been discovered that he is right

Dafna11 [192]

Answer:

The probability that Jones is lying is 6/7

Step-by-step explanation:

First we will list out 2 different cases when the outcome is a lie

1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8

So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48

2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie

So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08

Total probability of outcome being a lie is 0.48+0.08=0.56

But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7

4 0

3 years ago

Find the digit that makes 3,71_divisible by 9. A.3 B.7 C.1 D.5

ipn [44]

Answer:the answer is d

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

H(t) = 3t2 + 4t

Anarel [89]

Answer:

first we need to substitute g(t) value in h(t) value and then evaluate the expression as follows :

h(g(t))=3(t-1)²+4(t-1).

by solving

h(g(t))=3(t²+1-2t)+4t-4

h(g(t))=3t²-2t-1 will.be the final answer

7 0

3 years ago

5, 3, 7,0-2,-1, -7 1-5 least to greatest

ANTONII [103]

-7, -2, -1, 0, 3, 5, 7

6 0

3 years ago

Read 2 more answers