Answer:
x = ± 15
Step-by-step explanation:
Given
x² = 225 ( take the square root of both sides )
x = ± 
= ± 15
That is x = - 15 0r x = 15
Answer:
Answer:
Length of leg of triangle =
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
Putting the values:
So, the length of leg of triangle =
Step-by-step explanation:
3 times x equals to 646
3x=646
Answer:
y = -4.3
Step-by-step explanation:
40 = -10(y + 0.3) <em>{Step 1: Use the distributive property to multiply -10 by y + 0.3}</em>
40 = -10y + -10(0.3)
40 = -10y - 3 <em>{Step 2: Add 3 to both sides.}</em>
40 + 3 = -10y
43 = -10y <em>{Step 3: Divide both sides by -10}</em>
43/-10 = y
-4.3 = y
y equals -4.3.
10.5 hours
let t be time then distance travelled by both is
Mr Burges ⇔ d = 50t ( distance = speed × time )
Mrs Burges ⇒ d = 70(t - 3)
At the point of overtaking both will have travelled the same distance
equating their distance and solving for t
70(t - 3) = 50t
70t - 210 = 50t ( subtract 50t from both sides )
20t - 210 = 0 ( add 210 to both sides )
20t = 210 ( divide both sides by 20 )
t = 10.5 hours
