Answer:
![\text{The surface area is }351 m^2](https://tex.z-dn.net/?f=%5Ctext%7BThe%20surface%20area%20is%20%7D351%20m%5E2)
Step-by-step explanation:
Given a regular pyramid we have to find the surface area of regular pyramid.
Side of base(regular hexagon)=13 m
Slant height=l=9 m
![\text{Perimeter of regular hexagon=}13\times 6=78m](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20regular%20hexagon%3D%7D13%5Ctimes%206%3D78m)
![\text{Surface area=}\frac{1}{2}\times \text{perimeter of base}\times \text{slant height}](https://tex.z-dn.net/?f=%5Ctext%7BSurface%20area%3D%7D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7Bperimeter%20of%20base%7D%5Ctimes%20%5Ctext%7Bslant%20height%7D)
![=\frac{1}{2}\times 78\times 9=351 m^2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2078%5Ctimes%209%3D351%20m%5E2)
Option A is correct.
Answer:
y=(2/9)x+3/5
Step-by-step explanation:
Answer: 81a^8b^12
Step-by-step explanation:
When you have an exponent to an exponent multiply the exponents.
(3a^2b^3)^4
=81a^8b^12
Ed
To do this problem, you need to raise each of the individual terms inside the parentheses
to the 4th power.
In other words:
Now you can recognize that 3%5E4 is 3*3*3*3 and this product is 81. So you can substitute
81 in place of 3%5E4 and the problem is reduced to:
.
81%2A%28a%5E2%29%5E4%2A+%28b%5E3%29%5E4
.
Next look at %28a%5E2%29%5E4. You can get an equivalent form of this by multiplying the exponent
4 by the exponent 2 to get a%5E8. You can also think of %28a%5E2%29%5E4 as being a%5E2
Answer:
360°
75° + 15t
Step-by-step explanation:
Given that the initial temperature of the oven is 75° and the temperature will increase at a rate of 15° per minute, it means that the temperature T after x minutes will be given as
T = 75 + 15x
Hence after 19 minutes, the temperature will be
= 75 + 15(19)
= 75 + 285
= 360°
After t minutes, the temperature will be
= 75° + 15t
Answer: p=7
Step-by-step explanation: Pull out like factors :
-21 + 3p = 3 • (p - 7) Solve : p-7 = 0
Add 7 to both sides of the equation :
p = 7