Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio , 1 + 2 + 3 = 6 parts
Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Since there is an angle of 90° then the triangle is right.
(b)
The shortest side is the side opposite the smallest angle of 30°
Using the sine ratio and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
2 opp = 19 ( divide both sides by 2 )
opp = 9,5
Shortest side in the triangle is 9.5 cm
b is an ipotenuse, so b > a and 2a+b>3a
Answer:
15 hours
Step-by-step explanation:
To find the gallons per hour: 230/5=46, this means that it take 46 gallons per hour, you add 46 to 230, and you do that 15 times and you'll get 920. The pool will be filled at 11:00 pm.
Okie dokie,
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the
tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a
10.
(mobile) 5/10 or
Now, decide if you can simplify. You can! 5/10 simplifies down to
1/2.
is your answer!
--------
Example for the
hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over
100!26/100 or
You can simplify this!
13/50 is your answer!
Calculators can also come in handy!
Good luck!
Answer:
3.56 cm.
Step-by-step explanation:
1/3 π r^2 h = V
1/3 π (5.13)^2 h = 98
h = 98 / (1/3 π (5.13)^2)
= 98 / 27.55899
= 3.556.
