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olga_2 [115]
1 year ago
9

Use the graph below to choose the true statements select all that apply …

Mathematics
1 answer:
Anna71 [15]1 year ago
6 0

Answer: a and c

Step-by-step explanation:

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HELP!!
MrRa [10]

Answer:

the correct option is B

Step-by-step explanation:

AC and AB are both radii of circle A

an equilateral triangle is one with all three sides the same length and angle.

from point A of circle A, a compass is use to bisect.

it works because the compasss width is not changed between drawing each side, guaranteeing they are all equal with the same length

using an object and a circular base

1 . Use any cylindrical object with a circular base, each side of the equilateral triangle will be as long as the radius (half the diameter) of the circular object.

2. Draw the first side. It should be exactly as long as the radius of the circular object – the distance halfway across. Make sure that it is perfectly straight!  

If you have a ruler: simply measure the diameter of the object and draw a line that is half as long.

If you don't have a ruler: place the circular object onto a sheet of paper, then carefully trace the circumference with your pencil. Remove the object, and you should have a perfect circle. Use a straight edge to draw a line across the exact center of the circle: the point that is completely equidistant from any point around the circumference of the circle.

3. Trace another arc. Now, shift the circular object so that the edge touches the other end of the line segment. Make sure that the line segment runs through the exact center of the circle. Draw another quarter-arc that crosses the first arc at a point directly above the line segment. This point is the apex of your triangle.

4. Complete the triangle. Draw the remaining sides of the triangle: two more straight lines will connect the apex with the two open ends of the line segment.

reference: https://www.wikihow.com/Draw-an-Equilateral-Triangle

3 0
3 years ago
Find exact values for sin θ and tan θ if cos θ = -4/9 and tan θ > 0.
julsineya [31]

Answer:

Part 1) sin(\theta)=-\frac{\sqrt{65}}{9}

Part 2) tan(\theta)=\frac{\sqrt{65}}{4}

Step-by-step explanation:

we have that

The cosine of angle theta is negative and the tangent of angle theta is positive

That means that the sine of angle theta is negative

step 1

Find sin(\theta)

we know that

sin^{2}(\theta) +cos^{2}(\theta)=1

we have

cos(\theta)=-\frac{4}{9}

substitute

sin^{2}(\theta) +(-\frac{4}{9})^{2}=1

sin^{2}(\theta) +\frac{16}{81}=1

sin^{2}(\theta)=1-\frac{16}{81}

sin^{2}(\theta)=\frac{65}{81}

square root both sides

sin(\theta)=\pm\frac{\sqrt{65}}{9}

Remember that

In this problem the sine of angle theta is negative

so

sin(\theta)=-\frac{\sqrt{65}}{9}

step 2

Find tan(\theta)

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=-\frac{\sqrt{65}}{9}

cos(\theta)=-\frac{4}{9}

substitute the given values

tan(\theta)=-\frac{\sqrt{65}}{9}:-\frac{4}{9}=\frac{\sqrt{65}}{4}

3 0
3 years ago
Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years. Set up the two equations that can be used t
KatRina [158]

Answer:

The two equations that can be used to find each of their ages are x=4 \times y and x+y=60 .

Step-by-step explanation:

We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.

Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.

Now, according to the question;

  • The <u>first condition</u> states that Mrs. Lang is 4 times as old as her daughter Jill, that means;

                                     x=4 \times y   ----------------- [equation 1]

  • The <u>second condition</u> states that the sum of their ages is 60 years, that means;

                                 x+y=60

                                4y + y = 60     {using equation 1}

                                  5y=60

                                   y=\frac{60}{5}

                                   y = 12 years

Now, putting the value of y in equation 1 we get;

                               x=4 \times y

                               x= 4 \times 12 = 48 years

Hence, the age of Mrs. Lang is 48 years and her daughter Jill is 12 years old.

8 0
3 years ago
Which expression is equivalent to 24^1/3
kenny6666 [7]
Second is right answer
3 0
3 years ago
Read 2 more answers
(3a ^2 + 1) - ( 4+2a^2)
xz_007 [3.2K]

Answer:

a^2 - 3

Step-by-step explanation:

(3a^2 + 1) - (4 + 2a^2)

3a^2 + 1 - 4 - 2a^2

a^2 - 3

8 0
2 years ago
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