Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC = 
= 
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base = 
= 
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
<u>Answer:</u>
The given statement is False statement
<u>Explanation:</u>
We are given that Jaime has blown out a number of candles equal to his age on each of his birthday till now and he is 9 years old now so the total number of candles blown by him all his life is given by the
arithmetic series
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 and
not the arithmetic series
0 + 1 + 2 + 3+ 4+ 5+ 6+ 7+ 9 as given
so the given statement is false.
using pythagorean theorem
a^2 + b^2 = c^2
(12x)^2 + (16x)^2 = 10^2
square each term
144x^2 + 256x^2 = 100
combine like terms
400 x^2 = 100
divide by 400 on each side
x^2 = 1/4
take the square root on each side
x = 1/2
Answer: x=1/2
Answer:
(26, 
)
Step-by-step explanation:
Hi there!
We are given the coordinates (26, 56) and (26, 1)
We want to find the midpoint of these two points
The midpoint can be found using the formula 
, where 
& 
are points
We have 2 points, which is what we need to find the midpoint, but let's label the values of the points to avoid confusion and mistakes when actually calculating
Now substitute these values into the formula.
Add the numbers together
Divide
(26, )
Hope this helps!
Divide 405 by 6 which is 67.5
So 67.5 per hour but it wants minutes
So divide 67.5 by 60 (minutes in an hour) and you’ll get 1.125 pages per minute
