X+y=30
2x-3y=5
y=30-x
2x-3(30-x)=30
2x-90+3x=30
5x=120
x=24
y=30-x
y=30-24
y=6
The positive difference between the two numbers is 18.
Answer:
<h3>
Therefore the angles of the triangle are 52.5°, 105°,49.5°.</h3>
Step-by-step explanation:
Triangle:
- The sum of the angle of triangle = 180°
- Heron's formula the area of triangle =
s= semi-perimeter 
Given that , first angle is twice the second angle, and the second angle is 30° larger than the third angle.
Consider the second angle of the triangle be x.
Then first angle = twice the second angle
=2× second angle
=2x
The third angle+30° = second angle
⇒third angle= second angle -30°
= x- 30°
We know that,
First angle + second angle+ Third angle = 180°
⇒2x+x+x-30°= 180°
⇒4x = 180° +30°
⇒4x=210°
⇒x=52.5°
Therefore the angles of the triangle are 52.5°, (2×52.5°),(52.5°-30°)
=52.5°, 105°,49.5°
Answer:
The value of A is 3.
Step-by-step explanation:
In order to determine the value of A if the point (6,5) belongs to that linear relation, we need to apply the coordinates for that point on the equation and solve it for A. This is shown below:
A*x - 4*y + 2 = 0
A*(6) - 4*(5) + 2 = 0
6*A -20 + 2 = 0
6*A - 18 = 0
6*A = 18
A = 18 / 6
A = 3
The value of A is 3.
The area of a square floor on a scale drawing is 81 square centimeters, and the scale drawing is 1 centimeter:2 ft.
so the original area is
A = 81 sq cm ( 2 ft / 1 cm)^2a = 324 sq ft
so the ratio of the ratio the area in the drawing to the actual area is:
r = 81 sq cm / 324 sq ftr = 1 sq cm / 4 sq ft1 sq cm : 4 sq ft
The density of silver is 10,500 kg/m^3, therefore the
volume of a 2.90 kg silver is:
V = 2.90 kg / (10,500 kg/m^3)
V = 0.000276 m^3
We know that volume is simply area times height:
Volume = Area * height
SO the area is:
Area = 0.000276 m^3 / 3.00 x 10-7 m
<span>Area = 920.63 m^2</span>
