Answer:
first one: <u>3</u>
second one: <u>b</u>
third one: <u>3.2</u>
Step-by-step explanation:
first one:
21 x ________ ÷ 3 = 21
rewrite equation:
21 ÷ 3 x ___ = 21
7 x ___ = 21
(21 / 7 = 3)
7 x 3 = 21
second one:
b x h ÷ h = ___
B
third one:
876 x 3.2 ÷ ______ = 876
2803.2 ÷ ___ = 876
(2803.2 / 876 = 3.2)
2803.2 x 3.2 = 876
No solution because when you plug in the variables for x y and z none of them equal that correct number.
The equation: 6s - 10 = s
Add 10 to each side: 6s = s + 10
Subtract 's' from each side: 5s = 10
Divide each side by 5 : s = 2
Answer:
8.7 units
Step-by-step explanation:
Given is a right angled triangle (because the segment with 5 units length is tangent to circle. Tangent is perpendicular to RADIUS or diameter)
Let the length of the diameter be d units
By Pythagoras Theorem:
![d = \sqrt{ {10}^{2} - {5}^{2} } \\ = \sqrt{100 - 25} \\ = \sqrt{75} \\ = 8.66025404 \\ = 8.7 \: units](https://tex.z-dn.net/?f=d%20%3D%20%20%20%5Csqrt%7B%20%7B10%7D%5E%7B2%7D%20-%20%20%7B5%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B100%20-%2025%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B75%7D%20%5C%5C%20%20%3D%20%208.66025404%20%5C%5C%20%20%3D%208.7%20%5C%3A%20units)
The answer is A
Hopes this helps