Answer:
SA = 470 m²
volume = 494 m³
Step-by-step explanation:
<u>Individual areas</u>
Back = 4 x 19 = 76 m²
Top = 5 x 19 = 95 m²
sloped side = 5 x 19 = 95 m²
base = 8 x 19 = 152 m²
end = (4 x 5) + 1/2(3 x 4) = 26 m²
Total SA = 76 + 95 + 95 + 152 + (2 x 26) = 470 m²
<u>Volume</u>
volume = (4 x 5 x 19) + 1/2(3 x 4 x 19) = 494 m³
Answer:
(2a + 1)(a + 3) = 2a² + 7a + 3
20 % = 225
1% = 225 / 20
100% = 225 * 100 / 20
= 1125 answer
Answer:
perimeter = 28.13 cm
Step-by-step explanation:
Calculate the length of a line drawn from A to C.
sin 85 = b/8, b = 7.97
cos 85 = c/8, c = 0.697
AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37
AC = 10.41
Now you have a right triangle ADC with a known hypotenuse and one leg.
Using the Pythagorean theorem:
DC² = 10.41² - 5²
DC² = 108.37 - 25 = 83.37
DC = 9.13 cm
perimeter = 5 + 6 + 8 + 9.13 = 28.13 cm
Answer:
C. Bulldogs
Step-by-step explanation:
In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:
3= 3 ^1
5= 5^1
8= 2 * 2 * 2 = 2^3
2= 2^1
We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120
Each number will be:
Tiger= 2/3 * 40/40= 80/120
Redbird = 4/5 * 24/24= 96/120
Bulldogs = 3/8 * 15/15 = 45/120
Titans = 1/2 * 60/60 = 60/120
As you can see, the team with the lowest chance to play is Bulldogs = 45/120
