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Artemon [7]
3 years ago
13

In the figure above, AB is tangent to the circle with center O

Mathematics
1 answer:
Radda [10]3 years ago
6 0

<u>Given</u>:

Given that O is the center of the circle.

AB is tangent to the circle.

The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°

We need to determine the measure of ∠ABO.

<u>Measure of ∠ABO:</u>

The measure of ∠ABO can be determined using the triangle sum property.

Applying the property, we have;

\angle ABO+\angle BAO+\angle AOB=180^{\circ}

Substituting the values, we get;

\angle ABO+90^{\circ}+68^{\circ}=180^{\circ}

Adding the values, we have;

\angle ABO+158^{\circ}=180^{\circ}

Subtracting both sides by 158, we get;

\angle ABO=22^{\circ}

Thus, the measure of ∠ABO is 22°

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If costheta=4/5 then what is sec^2theta
DaniilM [7]

Answer:

\sec^2(\theta)=\frac{25}{16}

Step-by-step explanation:

Recall what the relationship between cosine and secant:

\sec(\theta)=\frac{1}{\cos(\theta)}

In other words, secant is the reciprocal of cosine.

So, if we know cosine, we only need to find its reciprocal to find secant.

We are given that cosine is:

\cos(\theta)=\frac{4}{5}

Then secant must be:

\sec(\theta)=\frac{5}{4}

So:

\sec^2(\theta)=(\frac{5}{4})^2

Square:

\sec^2(\theta)=\frac{25}{16}

And we're done!

5 0
3 years ago
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Step-by-step explanation:

6 0
3 years ago
I need help on this, thank you in advance
Montano1993 [528]

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3 0
2 years ago
1.13 Thank you! (Sorry it’s so blurry)
VikaD [51]
\sqrt[8]{48^4}  can be rewritten as 48^4 to the \frac{1}{8}  power:

(48^4)^ \frac{1}{8}

Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:

(48^ \frac{1}{2})

This is equivalent to \sqrt{48}, so now, we just simplify:

\sqrt{48}=  \sqrt{16*3}= \sqrt{16}* \sqrt{3}=4 \sqrt{3}

So:

\sqrt[8]{48^4} =4 \sqrt{3} 


4 0
3 years ago
Please help this is my 3rd time asking :(​
Ainat [17]

Answer:

$6

Step-by-step explanation:

She bought a toy for 4 dollars, so we need to subtract that from 88. This gives us 84 dolalrs. She bought 8 shirts and 6 pants, which is 14 items total. Divide 88 by 14 and you get 6.

Hope that helps :)

4 0
2 years ago
Read 2 more answers
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