Answer:
18.03 cm
Step-by-step explanation:
The two sides of the rectangle are the legs of a right triangle and the diagonal is the hypotenuse. We can use the Pythagorean theorem
a^2 + b^2 = c^2
10^2 +15^2 = c^2
100 +225 = c^2
325 = c^2
Take the square root of each side
sqrt(325) = sqrt(c^2)
18.02775638 =c
Rounding to the nearest hundredth
18.03 =c
Answer:
c. (Multiply 4 by the difference of 10 and 3, then add 5)
Answer:
6250
Step-by-step explanation:
75*75 =5625
25*25= 625
add 5625 + 625 = 6250
Answer:
x = 25.35 (or 2129/84) and y = 4334.04 (or 121353/28)
Step-by-step explanation:
The given equations are set up and ready to go with substitution. Simply just plug in the first equation to the second equation as both are equal to y.
Step 1: Replace y in <em>y = 87x + 2129 </em>with <em>171x</em>
171x = 87x + 2129
Step 2: Subtract 87 x on both sides
84x = 2129
Step 3: Divide both sides by 84 to get x
x = 2129/84 or 25.35 (rounded)
To get y, simply plug in x into one of the 2 original equations. In this case, I will use the first equation:
y = 171 (25.35)
y = 121353/28 or 4334.04 (rounded)
You can check your work by plugging both solutions into the calculator and see if they equal each other. The values for these answers are solely based on the equations, so if you write the <em>equations </em>wrong themselves, then that means you have the values wrong as well.
Sorry about the bad handwriting
