By Pythagoreans' theorem,
7.5² = l² × b²
56.25 = l² × b²
Since l = b
56.25 ÷ 2
= l²/b²
= 28.125 mm
∴ l = √28.125
= 5.3033 mm
Area of square
= √28.125 × √28.125
= 28.125 mm²
≈ 28.1 mm² (3s.f.)
Answer:
(14, -2)
Step-by-step explanation:
To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:
Now we know what <em>x</em> equals. Let's substitute this into the second equation:
We can then simplify:
Given equation
Combine y terms
Add 2
Divide by -11
So, we now know the value of y = -2.
To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:
Substitute for y
Distribute 8
Add 16
So, we now know the value of x = 14.
Therefore, we know a solution to the system of equations is (14, -2).
Answer:
No b/c the hypotenuse is too short
Step-by-step explanation:
13² + 15² = 19²
169 + 225 = 361
394 ≠ 361
Answer:
7/10 or 70%
Step-by-step explanation:
Add the number of each color of balls together to get the total
5 + 2 + 3 = 10
Add the number of all the balls that aren't black
5 + 2 = 7
Then divide how many balls that aren't black by the total. This gives us the probability the ball you choose is not black
7/10 = 0.7 or 70%
Answer:
41
Step-by-step explanation:
Given Expression:
(4 x 9 - 21) \ 3+6^2
Multiply 4 and 9 to get 36.
36 - 21 / 3 + 6^2
Subtract 21 from 36 to get 15.
15/3 + 6^2
Divide 15 by 3 to get 5.
5+6^2
Calculate 6 to the power of 2 and get 36.
5+36
Add 5 and 36 to get 41.
41
