The picture in the attached figure
we know that
If a tangent segment and a secant segment are drawn to a <span>circle </span><span>from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment
</span>so
DC²=BC*CA-----> CA=DC²/BC
DC=25
BC=14
CA=25²/14-----> CA=44.64
CA=BC+BA----> BA=CA-BC----> BA=44.64-14----> BA=30.64
BA is the diameter
hence
<span>the length of diameter BA is 30.64----> round to the nearest tenth---> 30.6
</span>
the answer is<span>
the length of diameter BA is 30.6</span>
Answer:
B. 5
Step-by-step explanation:
Step 1: Rewrite the equation a bit
![\frac{7^\frac{3}{4}}{7^\frac{x}{8}}=\sqrt[8]{7}\\7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5E%5Cfrac%7B3%7D%7B4%7D%7D%7B7%5E%5Cfrac%7Bx%7D%7B8%7D%7D%3D%5Csqrt%5B8%5D%7B7%7D%5C%5C7%5E%5Cfrac%7B3%7D%7B4%7D%5E-%5E%5Cfrac%7Bx%7D%7B8%7D%3D7%5E%5Cfrac%7B1%7D%7B8%7D)
Step 2: Place a logarithm base 7 on both sides

Step 3: Solve for x

Neat exponent question :)
Answer:
No
Step-by-step explanation:
7.8 is 7.8 not 9 they are both rational numbers
9514 1404 393
Answer:
5. 88.0°
6. 13.0°
7. 52.4°
8. 117.8°
Step-by-step explanation:
For angle A between sides b and c, the law of cosines formula can be solved to find the angle as ...
A = arccos((b² +c² -a²)/(2bc))
When calculations are repetitive, I find a spreadsheet useful. It doesn't mind doing the same thing over and over, and it usually makes fewer mistakes.
Here, the side opposite x° is put in column 'a', so angle A is the value of x. The order of the other two sides is irrelevant.
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<em>Additional comment</em>
The spreadsheet ACOS function returns the angle in radians. The DEGREES function must be used to convert it to degrees. The formula for the first problem is shown here:
=degrees(ACOS((C3^2+D3^2-B3^2)/(2*C3*D3)))
As you can probably tell from the formula, side 'a' is listed in column B of the spreadsheet.
The spreadsheet rounds the results. This means the angle total is sometimes 179.9 and sometimes 180.1 when we expect the sum of angles to be 180.0.