Answer:
+ 
= 4 + 4 * 3 = 16 = 
Step-by-step explanation:
The Pythagorean Theorem states that the two shorter sides of a right triangle squared and added together will equal the longest side (hypotenuse) of the right triangle squared. The longest side of this right triangle is 4, 4 squared is 16. The two shorter sides of the right triangle are 2 and 
, squared individually would be 4 and 12, and added together they also equal 16. These sides are a valid input for the Pythagorean Theorem, so these three sides are the sides of a right triangle. 2 and being the legs of the right triangle, and 4 being the hypotenuse.
Answer:
20kg of 25% copper alloy
30kg of 60% copper alloy
Step-by-step explanation:
There are 2 kinds of metal, first metal(A) have 25% copper while the second metal(B) has 60% copper. The metalworker want to create 50kg of metal, which means the total weight of both metals is 50kg (A+B = 50). The metalworker also want the metal made of a 46% which is 23kg(0.25A + 0.6B = 0.46*50). From these sentences, we can derive 2 equations. We can solve this with substitution.
A+B = 50
A= 50-B
Let's put the first equation into the second.
0.25A + 0.6B = 0.46 *50
0.25(50-B) + 0.6B =23
12.5 - 0.25B + 0.6B =23
0.35B=23 -12.5
B= 10.5/ 0.35= 30
Then we can solve A
A= 50-B
A= 50-30
A=20
Answer:
To find x, y, z, p and q, you need to know about the property of Rhombus.
13y + 10 = 7y + 16 (pair of equal opposite sides)
=> 6y = 6
=> y = 1
x = 7x + 16 (2 equal adjacent sides)
= 7*1 + 16
=23
z = 90 deg (angle between 2 diagonals)
q = 22 deg (isosceles triangle)
p = 90 - 22 = 68 deg (right triangle)
Step-by-step explanation:
I hope the picture is visible
:)
(32 ft) x (30 ft + 5/12 ft) = (960 ft² + 13-1/3 ft²) = 973-1/3 feet²
