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Leto [7]
3 years ago
9

If a = 6 and c = 15, what is the measure of ∠A? (round to the nearest tenth of a degree) Q: A: A) 21.8° B) 22.7° C) 23.6° D) 66.

4°

Mathematics
1 answer:
larisa [96]3 years ago
6 0

Answer:

Option C) 23.6°

Step-by-step explanation:

we know that  

In this problem the triangle ABC is a right triangle

see the attached figure to better understand the problem

sin(A)=\frac{BC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(A)=\frac{6}{15}

using a calculator

A=sin^{-1}(\frac{6}{15})=23.6^o

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Solve and graph the absolute value inequality: |2x + 4| > 14.
Aloiza [94]

Answer:

"number line with open circles on negative 9 and 5, shading going in the opposite directions."

Step-by-step explanation:

Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.

|u|>14 means that the number u has to be greater than 14 or less than -14.  These numbers I describe just now all have a distance greater than 14 from 0.

So |u|>14 implies u>14 or u<-14.

But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.

2x+4>14

Subtract 4 on both sides:

2x    >10

Divide both sides by 2:

x      >5

2x+4<-14

Subtract 4 on both sides:

2x    <-18

Divide both sides by 2:

x      <-9

So our solution is x>5 or x<-9.

Graphing!

~~~~~~~O                                         O~~~~~~~~

-----------(-9)---------------------------------(5)---------------

So we shaded to the right of 5 because our inequality says x is bigger than 5.

We shaded to the left of -9 because our inequality says x is less than -9.

4 0
3 years ago
Please help me out!!! :) 
Olin [163]

it would be > because the square root of 2 is more than 1.

8 0
3 years ago
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How do you find the radius of a circle with a circumference of 12pi
sergejj [24]

Answer:

6

Step-by-step explanation:

The circumference of a circle is 2\pir\pi r, so 12\pi=2\pi r\\12=2r\\r=6.  We can use this because the area of a circle is \pi r^2.  Thus, \pi*6^2=36\pi.

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How to measure and find the circumcenter of a triangle
Nadusha1986 [10]
Circumcenter Calculator

Circumcenter of triangle can be defined as the point where the three perpendicular bisectors of the sides of the triangle meet. The distance of vertices of triangle is equal to circumcenter.

It is the single point where the perpendicular bisectors of the three sides of the triangles meet .
It is basically the point of concurrency inside the triangle.
The distance of circumcenter from the three vertices of triangle are equal.
It is used to draw the circum circle , infact it is the center of the circumcircle formed.
There is a unique circumcenter possible for each and every triangle.
Circumcenter Calculator is used to calculate the circumcenter of the triangle, if three coordinates are given.
Please mark braileist I only need one
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At a baseball game, 87% of people attending were supporting the home team, while
bixtya [17]

Answer:

3828 people

Step-by-step explanation:

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