Answer:
No, According to triangle Inequality theorem.
Step-by-step explanation:
Given:
Length given are 4 in., 5 in., 1 in.
We need to check whether with these lengths we can create triangular components.
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
These must be valid for all three sides.
Hence we will check for all three side,
4 in + 5 in > 1 in. (It is a Valid Condition)
1 in + 5 in > 4 in. (It is a Valid Condition)
4 in + 1 in > 5 in. (It is not a Valid Condition)
Since 2 condition are valid and 1 condition is not we can say;
A triangular component cannot be created with length 4 in, 5 in, and 1 in by using triangle inequality theorem (since all three conditions must be valid).
Answer:
21.46 cm²
Step-by-step explanation:
because the question want only for the SHADED REGION but NOT AREA OF THE SQUARE
(if we just multiply 10x10. you will get the area of a square which is hundered)
To find the shaded region:
1. area of a circle is πr² (we have 4 circle there)
2. Find the area of all circle
# how do we know the radius?
- half of 10 is 5
- 5 is the diameter of each circle
- the radius is half of 5 which is 2.5
- π(2.5)² = 25/4π (area of 1 circle)
3. since we have 4 circle then, 25/4π x 4 = 25π
4. the area of the square is 100cm²
5. we want the shaded region so we have to minus the area of the circle
6. 100 - 25π (use your calculator to find the answer)
answer should be 21.46 cm²
(hope this helps)
Answer:
x = 15°
Step-by-step explanation:
Complementary angles are two angles whose sum = 90°
∠A + ∠B = 90°
3x + 45 = 90
3x = 45
x = 45/3
x = 15°
