Answer:
54.6cm
Step-by-step explanation:
Arc length = radius * central angle
= 18.2*3
=54.6
The value of x is 21.
To find this one, we need to know the formula with intersecting lines outside of the circle.
It is that if you subtract the smaller arc from the larger arc and divide by 2, you will have the exterior angle.
Therefore, we can write and solve the following equation:
(5x - 63) / 2 =x
5x - 63 = 2x
3x = 63
x = 21
Answer:
Step-by-step explanation:
Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.
You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached. As you can see:
And we can find a easily using pythagorean theorem:
Solving for a:
Therefore:
Answer:
t ≤ 210°
Step-by-step explanation:
If the temperature of the water in a coffeepot does not exceed 210°, this means that the temperature cannot be more than 210° and the required inequality sign that fits is ≤ (less than or equal to).
Since t is the temperature of the water in the coffeepot, the required inequality expression will be t ≤ 210°
<span>f(x)=4x²-15x-25
</span><span>f(x)=(4x + 5)(x - 5)
</span><span>zero-product property
let </span>f(x)=(4x + 5)(x - 5) = 0
so
(4x + 5)(x - 5) = 0
4x +5 = 0
4x = -5
x = -5/4
x = -1.25
x - 5 =0
x = 5
answer
factor: (4x + 5)(x - 5)
x = 5 and x = -1.25
