Answer:
AC = 78
Step-by-step explanation:
Since all the angles are equal (60°), this is an equiangular triangle (meaning all angles re equal). Equiangular triangles are also equilateral meaning that all sides are equal)
We are given then one side is 11x-32 and another side is 5x+28
These two sides must be equal so we can set them equal to each other and solve for x
11x - 32 = 5x + 28
6x - 32 = 28
6x = 60
x = 10
If x = 10, then we can substitute x into either of the two equations to find the length of all three sides (since all sides have equal length)
11(10)-32 = 110 - 32 = 78
AB = BC = AC = 78
AC = 78
The area of a circle with chord length of 3√2cm is 28. 3 cm²
<h3>How to determine the area</h3>
The formula chord length of a circle is expressed as;
Chord Length = 2 × r × sin(c/2)
Where;
- r is the radius
- c is the angle formed by the chord and the circumference of the circle
- Chord length = 3√2
Let's substitute into the formula
3√2 = 2r sin 90/ 2
3√2 = 2r sin 45
3√2 = 2r × 1/ √2
2r = 3√2 ×√2/ 1
2r = 6
Make 'r' the subject
r = 6/2
r = 3cm
The formula for area of a circle is expressed as;
Area = πr²
Area = 3.142 × (3)²
Area = 3. 142 × 9
Area = 28. 3 cm²
Thus, the area of a circle with chord length of 3√2cm is 28. 3 cm²
Learn more about area here:
brainly.com/question/22972014
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So, we need to figure out how much times the body size of the flea it can jump. First, we need to figure out the size of the flea: <em>2^-4=0.0625</em>
Now that we have the size of the flea, we need to figure out how high it can jump: <em>2^3=8</em>
After we figure out the size of the flea, we need to divide 8 by .0625 because it is inverse operations to multiplication: <em>8/.0625=128</em>
Answer: The flea can jump 128 times higher than it's body size.
Heyy I don’t think your pictures are loading it just shows grey
Answer:
I have attached the answers below and how i got the answers :)
Hope this helps!
