Length of the diagonal is 24 cm
Step-by-step explanation:
- Step 1: Find the length of the diagonal of the rectangle using Pythagoras Theorem, where diagonal is the hypotenuse. This is possible because a rectangle has tight angles.
Diagonal² = Length² + Width²
= 24² + 10² = 576 + 100 = 676
⇒ Length of the diagonal = √676 = 24 cm
Given:
The graph of a function.
To find:
The domain and range of the given function.
Solution:
Domain: It is the set of input values.
Range: It is the set of output values.
From the given graph, it is clear that the function is defined for all real values of x because it is a downwards parabola. So, domain is the function is the set of all real number.
The function is maximum at point (0,7). So, the maximum value of the function is 7. So, the range of the function is the set of all real numbers less than or equal to 7.
Therefore, the domain of the function is and the range of the function is .
Answer:
Step-by-step explanation:
Use the alternating interior angles theorem.
It states that alternating interior angles are congruent.
Therefore,
Answer:
Step-by-step explanation:
Put 1/5 x 3 and that is the answer
Answer:
121°
Step-by-step explanation:
<B = 9x - 5°
<D = 10x - 19°
<B = <D ( being opposite angles of parallelogram)
9x - 5° = 10x - 19°
10x - 9x = 19° - 5°
x = 14°
Now
<B = 9x - 5°
= 9 * 14° - 5
= 121°