Answer:
Q7. 11.3 inches (3 s.f.)
Q8. 96.2 ft
Q9. 36.4cm
Step-by-step explanation:
Q7. Please see attached picture for full solution.
Q8. Let the length of a side of the square be x ft.
Applying Pythagoras' Theorem,
![34^{2} = {x}^{2} + {x}^{2} \\ 2 {x}^{2} = 1156 \\ {x}^{2} = 1156 \div 2 \\ {x}^{2} = 578 \\ x = \sqrt{578} \\](https://tex.z-dn.net/?f=34%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%5C%5C%202%20%7Bx%7D%5E%7B2%7D%20%20%3D%201156%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%201156%20%5Cdiv%202%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%20578%20%5C%5C%20x%20%3D%20%20%5Csqrt%7B578%7D%20%20%5C%5C)
Thus, the perimeter of the square is
![= 4( \sqrt{578} ) \\ = 96.2 ft\: \: \: (3 \: s.f.)](https://tex.z-dn.net/?f=%20%3D%204%28%20%5Csqrt%7B578%7D%20%29%20%5C%5C%20%20%3D%2096.2%20ft%5C%3A%20%20%5C%3A%20%20%5C%3A%20%283%20%5C%3A%20s.f.%29)
Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.
Since the perimeter of the equilateral triangle is 126cm,
length of each side= 126÷3 = 42 cm
The green line drawn in picture 3 is the altitude of the triangle.
Let the altitude of the triangle be x cm.
sin 60°= ![\frac{x}{42}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B42%7D%20)
(to 3 s.f.)
Therefore, the length of the altitude of the triangle is 36.4cm.
Answer:
The probability is ![\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
Step-by-step explanation:
The total number of students are 200.
number of full timers is 110 and number of part timers is 90.
number of male students is 90 and number of female students is 110.
Let the probability of part timers be P(B).
P(B) =
= ![\frac{9}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B20%7D)
Let the probability of female part timers be P(A)
P(A) = ![\frac{50}{200} = \frac{5}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B200%7D%20%3D%20%5Cfrac%7B5%7D%7B20%7D)
now, the final probability is
= ![\frac{P(A)}{P(B)}](https://tex.z-dn.net/?f=%5Cfrac%7BP%28A%29%7D%7BP%28B%29%7D)
=
Answer:
2(6x-5)
Step-by-step explanation:
Factor 2 out of the expression.
The correct answer is:
A line that crosses segment at right angles while dividing the segment in half is called <u>a perpendicular bisector</u>
Step-by-step explanation:
A bisector is a line that divides a line segment in two equal parts. A perpendicular bisector is a line that is perpendicular to given line segment and passes through the mid-point of the line segment. It can also be said as that the line perpendicular to a line segment that divides the lines in half is called the perpendicular bisector.
The correct answer is:
A line that crosses segment at right angles while dividing the segment in half is called <u>a perpendicular bisector</u>
Keywords: Perpendicular, bisector
Learn more about geometry at:
#LearnwithBrainly
Answer:
D
A=-5
Step-by-step explanation: