Answer:
4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 30 = x/8
8 sin 30 =x
8 (1/2) = x
4
Answer:
5/6
Step-by-step explanation:
When dividing fractions, we use a rule where we keep the first number, change the sign, and flip the second number.
3 1/3 must be converted to an improper fraction before we can do this, though.
3 1/3 is 10/3 because we multiply 3 by the denominator, also 3, and then add one, so 10/3.
Now we can divide. Remember 4 is the same thing as 4/1
10/3 ÷ 4/1
Keep the first fraction the same, change the division sign into a multiplication sign, and divide by flip the second fraction.
It ends up looking like 10/3 x 1/4
Multiply: 10 x 1 and 3 x 4
It's 10/12, but we can simplify that by dividing both the top and the bottom by 2.
The final answer is 5/6
Area= pi x r^2
hence,
pi x r^2 = 36 x pi
=> r^2=36
=>r= root over 36 = 6
in short...the radius is 6
Answer:
Percentage = 14.2%
Step-by-step explanation:
<u>Given the following data;</u>
Cost of plane ticket = £588
Airport tax = $130
£1 = $1.34
To find the percentage of the total cost spent on airport tax;
First of all, we would convert the ticket cost in pounds (£) to dollars ($).
Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92
Total cost = Cost of plane ticket + Airport tax
Total cost = 787. 92 + 130
Total cost = $917.92


<em>Percentage cost = 14.16 to 1 d.p = 14.2%</em>
<em>Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent. </em>
Step-by-step explanation:
Since sides AD and BC are parallel,
Angle BAD + Angle ADC = 180° (co-interior angles)
Therefore Angle ADC = 180° - 115° = 65°.