Answer:
510 ft²
Step-by-step explanation:
in the triangle
base (b) = 5 ft
height of the triangle (h1) = 12 ft
height of the prism = 15 ft
Now
Lateral surface area (LSA)
= perimeter of triangular base * height
= ( 13 + 5 + 12) * 15
= 450 ft²
Total surface area
= LSA + 2 * area of triangular base
= 450 + 2 * 1 / 2 * b * h1
= 450 + 5 * 12
= 450 + 60
= 510 ft²
Hope it will help :)❤
The small number is 2.
The large number is 3.
<u>Step-by-step explanation:</u>
Let the two consecutive numbers be x and x+1.
- x be the small integer.
- x+1 be the large integer.
The sum of these two consecutive integers = small integer + large integer
The sum of these two consecutive integers is x+x+1 = (2x+1)
It is given that,
- The sum of two consecutive integers is one less than three times the smaller integer.
- This means that, (2x+1) is one less than three times the smaller integer.
- Here, the small integer is represented as x.
<u>Therefore, it can determined that :</u>
(2x+1) = 3x-1
Keeping x term on one side and constants on other side,
3x-2x = 1+1
x = 2
Therefore, the small number is 2 and the large number is x+1 = 3.
Answer:
Alana is 13 years old.
Step-by-step explanation:
Assuming you meant Mazo = Maisel,
You start from the bottom:
Amelia is 10 years younger than 17-year-old Maisel.
Amelia is 7 years old. (17-10)
Ernie is 2 years older than 7-year-old Amelia.
Ernie is 9. (2+7)
Alana is 4 years older than 9-year-old Ernie.
Alana is 13 years old. (4+9)
Hope this helps!
-EmV
well, 26+6 is 32, so divide that by 3 and you'd get 10.67, making daniel 32 by that time and his son being 10 years old
its simple math really, also, i hope this helps you ^-^
Answer:
Step-by-step explanation:
b^2 - 4ac > 0
(-8)^2 - 4(1)(-2) = 64 + 8 = 72
two solutions