Answer:
1/108
Step-by-step explanation:
One of the boys and one of the girls are siblings
1/9 × 1/12
1/108
Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4
The LCM of 20 and 300 is 300.
<h3>How to find the LCM?</h3>
The multiple of 20 will be:
20 = 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300
The multiple of 300 will be:
300 = 300, 600, 900
Therefore, the lowest common multiple of 20 and 300 is 300.
Learn more about LCM on:
brainly.com/question/18084619
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When the function goes 1 to the right, it goes 2 down. Therefore the direction of the function is
Hence, the function represented is
y = -2x
Answer:
Option b and d.
Step-by-step explanation:
Given equation : -5x + 4y > -7
Putting the values of x and y one by one in the options,
a) Putting x as 6 and y as 4.
=> -5(6) + 4(4) > -7
=> -30 + 16 > -7
=> -14 > -7
This doesn't satisfy the inequality, hence this couldn't be the ordered pair.
Similarly,
b) Putting x as 5 and y as 5.
=> -5(5) + 4(5) > -7
=> -25 + 20 > -7
=> -5 > -7
This satisfies the inequality, hence this is the ordered pair.
c) Putting x as 3 and y as 2.
=> -5(3) + 4(2) > -7
=> -15 + 8 > -7
=> -7 > -7
This doesn't satisfy the inequality, hence this couldn't be the ordered pair.
d) Putting x as -2 and y as -4.
=> -5(-2) + 4(-4) > -7
=> 10 - 16 > -7
=> -6 > -7
This satisfies the inequality, hence this is the ordered pair.
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>
