Answer:
n= 11 & n = 13 is the answer
Answer:
Total surface area of the prism = 920 cm²
Step-by-step explanation:
Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.
Area of one triangular side = ![\frac{1}{2}(\text{Base})(\text{Height})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BBase%7D%29%28%5Ctext%7BHeight%7D%29)
Area of 2 similar sides = Base × Height
= 8 × 15
= 120 cm²
Area of rectangular side with dimensions 17cm × 20cm
Area of the side = 17 × 20 = 340 cm²
Area of the second rectangular side with dimensions 8cm × 20cm
Area of the side = 8 × 20 = 160 cm²
Area of third rectangular side with dimensions 20cm × 15cm
Area of the side = 20 × 15 = 300 cm²
Total surface area of the given triangular prism = 120 + 340 + 160 + 300
= 920 cm²
Answer:
Rational numbers
Step-by-step explanation:
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.
Answer:
The center of the circle is:
Thus, option (2) is true.
Step-by-step explanation:
The circle equation is given by
![\left(x-a\right)^2+\left(y-b\right)^2=r^2](https://tex.z-dn.net/?f=%5Cleft%28x-a%5Cright%29%5E2%2B%5Cleft%28y-b%5Cright%29%5E2%3Dr%5E2)
here,
Given the equation
![\left(x-14\right)^2+\left(y+21\right)^2=64](https://tex.z-dn.net/?f=%5Cleft%28x-14%5Cright%29%5E2%2B%5Cleft%28y%2B21%5Cright%29%5E2%3D64)
![\mathrm{Rewrite}\:\left(x-14\right)^2+\left(y+21\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}](https://tex.z-dn.net/?f=%5Cmathrm%7BRewrite%7D%5C%3A%5Cleft%28x-14%5Cright%29%5E2%2B%5Cleft%28y%2B21%5Cright%29%5E2%3D64%5C%3A%5Cmathrm%7Bin%5C%3Athe%5C%3Aform%5C%3Aof%5C%3Athe%5C%3Astandard%5C%3Acircle%5C%3Aequation%7D)
![\left(x-14\right)^2+\left(y-\left(-21\right)\right)^2=8^2](https://tex.z-dn.net/?f=%5Cleft%28x-14%5Cright%29%5E2%2B%5Cleft%28y-%5Cleft%28-21%5Cright%29%5Cright%29%5E2%3D8%5E2)
comparing with the circle equation
![\left(x-a\right)^2+\left(y-b\right)^2=r^2](https://tex.z-dn.net/?f=%5Cleft%28x-a%5Cright%29%5E2%2B%5Cleft%28y-b%5Cright%29%5E2%3Dr%5E2)
Therefore, the center of the circle is:
Thus, option (2) is true.