Answer:
first one x = 26
second one x = 11.12
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + 10^2 = c^2
676 = c^2
26 = c
a^2 = c^2 - b^2
a^2 = 12^2 - 4.5^2
a^2 = 123.75
a = 11.12
Answer:
147
Step-by-step explanation:
2(X)= (X) x (X)
12 x 12 + 3= 144+3=147
Answer:
12
Step-by-step explanation:
Given: Diagonal of square= 
To find the perimeter of square, we need to find the length of sides of square.
∴ Using the formula of diagonal to find side of square.
Formula; 
Where, s is side of square.
⇒ 
Dividing both side by √2
⇒
∴
Hence, Length of side of square is 3.
Now, finding the perimeter of square.
Formula; 
⇒
∴ 
Hence, Perimeter of square is 12.
Answer:
Equation = (x - 6 )² + ( y + 3 )² = 9
Step-by-step explanation:
The circle passes through ( 6, 0) and ( 6 , -6)
They are the coordinates of the diameter.
Using this we can find the centre of the circle.
<u>Find the centre of the circle.</u>
Centre of the circle is the mid- point of (6, 0) and ( 6, -6)


<u>Find the radius of the circle.</u>

Diameter is the distance between the points (6 , 0) and ( 6, - 6)


Therefore,

<u>Standard equation of a circle:</u>
<u></u>
<u></u>
Therefore , equation of the circle ;

4 liters of punch can serve 16.
5 liters of punch will be needed for 20 servings.
7 liters of punch will serve 28.
Step-by-step explanation:
Given,
Ratios of liters of punch to servings = 2:8
Let,
x be the servings for 4 liters.
New ratio of liters of punch to servings = 4:x
Using proportion;
Ratio :: New ratio

Product of mean = Product of extreme

Dividing both sides by 2

4 liters of punch can serve 16.
Let,
y be the liters of punch for 20 servings.
New ratio = y:20
Using proportion;

Product of mean = Product of extreme

Dividing both sides by 8

y=5
5 liters of punch will be needed for 20 servings.
Let,
z be the number of servings for 7 liters of punch.
New ratio = 7:z
Using proportion

Product of mean = Product of extreme

Dividing both sides by 2

7 liters of punch will serve 28.
Keywords: ratio, proportion
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