Formula for the Distance between 2 points is √(x₂-x₁)²+(y₂-y₁)²
So the given points are (0,5) 0 is x₁ and 5 is y1
in the 2nd given points (-5,0) -5 is x₂ and 0 is y₂
Now we know what order the points go in so we place them into the formula which you have the following: √(-5-0)²+(0-5)²
Next we work what is in the parentheses first
√(-5)²+(-5)² now we work with exponents √25+25 next we add what's inside the square root symbol √50 the square root of 50 on the calculator gives an answer of 7.07107
The width (W) of the prism is 16 cm.
The length (L) of the prism is 16 cm.
The height (H) of the prism is 10 cm.
The formula for the surface area of any right prism with width W, length L, and height H is the following:
A = 2 (WL + LH + WH)
Substituting using our given values changes the equation to:
A = 2 (16*16 + 16*10 + 16*10)
= 2 (256 + 160 + 160) = 2 (576)
= 1152
Thus, the surface area is 1152 cm².
Let me know if you need any clarifications, thanks!
Answer:
x = 1,092
Step-by-step explanation:
Duck eggs : chicken heads =
2 : 7
Number of duck eggs = 312
Number of chicken eggs = x
Duck eggs : chicken heads = 312 : x
Equate both ratios
2 : 7 = 312 : x
2/7 = 312/x
Cross product
2 * x = 7 * 312
2x = 2,184
x = 2,184 / 2
= 1,092
x = 1,092
combining like terms in a polynomial is adding or subtracting together terms that have the same degree in the exponents.
example. 3x^3 + 5x^6 + 2x^3 +7x + 9x^6
= 7x + 5x^3 + 14x^6
Answer:
Step-by-step explanation:
Using the Pythagorean identity
sin²x + cos²x = 1, then
cosx =
cosΘ =
= = =