The area of the room must equal the sum of the areas of the tiles...
20*30=n(2*3)
600=6n
n=100
So 100 tiles are needed.
Answer:
750 grams of 60% alloy
Step-by-step explanation:
Define x = amount of 60% alloy and y = amount of 20% alloy
Equating the amounts of gold:
0.6x+0.2y = 1000(0.5)
Since there must be 1000 grams total:
x+y = 1000
Writing the 2 resulting equations together:
0.6x + 0.2y = 500
x + y = 1000
Multiply the first equation by 5:
3x + y = 2500
x + y = 1000
Subtracting the 2nd equation from the 1st:
2x = 1500
x = 750
Answer: 750 grams of 60% alloy
The value of x is 60, as you wrote. The sum of all angles in a triangle is 180°.
The sum of all angles on a straight line is also 180°. So to find y, solve for the third angle of the triangle on the left.
50 + 60 = 110. 180-110 = 70°.
Now we know 2 of the 3 angles along the line (70° and x, 60°)
70 + 60 + y = 180
130 + y = 180
y = 50
Hope this helps. LMK if you have questions.
Answer: the third angle is 106 degrees.
The base angles are 37 degrees each.
Step-by-step explanation:
In an isosceles triangle, the base angles are equal.
Let x represent the measure of each of the base angles.
The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be
(2x + 32) degrees
The sum of the angles inna triangle is 180 degrees. It means that
x + x + 2x + 32 = 180
4x = 180 - 32
4x = 148
x = 37
The third angle is
2x = 32 = (2 × 37) + 32
= 74 + 32 = 106
Don't afraid of parameter!
The area is 3500.
The pic shows the process. Hope you can understand.
