Explanation:
Use pythagorean theorem: a^2+b^2=c^2
a^2+(-6)^2=(12)^2
a^2+36=144
a^2=108
a≈12.58
Answer:
A monomial.
Step-by-step explanation:
X - y = -3
Move constant to the left by adding its opposite to both sides
x - y + 3 = -3 + 3
The sum of two opposites equals
your answer would be: x - y + 3 = 0
Answer:
Correct answer is
Step-by-step explanation:
As per the given diagram, we know the following details:
Height of the triangular pyramid is <em>14m</em>.
<em>Side of base</em> = <em>10m
</em>
Height of Triangular base = <em>8.7m</em>
Formula for <em>surface area of triangular pyramid</em>:
![\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20%3D%20Area%20of%20Triangular%20base%20%2B%203%20%7D%5Ctimes%5Ctext%7BArea%20of%20side%20triangle%7D)
(Triangular base is shown in the dotted lines in the question figure.
The other 3 triangles are the side triangles.)
We know that,
![\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20a%20triangle%20%3D%20%7D%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%20%5Ctext%7BBase%7D%20%5Ctimes%20%5Ctext%7BHeight%7D)
![\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BRequired%20Surface%20Area%20%3D%20%7D%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%208.7%20%5Ctimes%2010%20%2B%203%20%5Ctimes%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%2014%20%5Ctimes%2010%5C%5C%5CRightarrow%20%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20%2887%20%2B%203%20%5Ctimes%20140%29%5C%5C%5CRightarrow%20%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20%2887%20%2B%20420%29%5C%5C%5CRightarrow%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%20507%5C%5C%24%5Capprox%24%20254%20m%5E%7B2%7D)
Hence correct answer is
.
Answer:
531441
Step-by-step explanation: