Answer:
x = 8.7
Step-by-step explanation:
Reference angle = 30°
Opposite side length = x
Adjacent side length = 15
Apply trigonometric function, TOA:
Tan 30° = Opp/Adj
Plug in the values
Tan 30° = x/15
Multiply both sides by 15
15*Tan 30° = x
8.66025404 = x
x = 8.7 (nearest tenth)
Answer:
D. 160
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
In this question:
For each 3 white carnations, 5 yellows are needed, which leaves us with 8 total carnations. So for 60 white, the total is:
3 white - 8 total
60 white - x total
So

Dividing both sides by 3

The correct answer is given by option D.
Answer:
68% are quarters
Step-by-step explanation:
Percent means out of 100
34/50
Multiply by 2/2
34/50 *2/2
68/100
This means 68 percent
Our repeating decimal would be= 0.5555….
Let’s give 0.5555….. repeating decimal a variable of x:
x= 0.5555…. or 0.5(move 1 point to the right)
So ,10x = 5.5555 or 5.5
Now, Let’s do subtraction:
10x = 5.5555… or 5.5
<u>- x = 0.5555… or 0.5</u>
9x
= 5.0 or 5.0
To get a fraction, provide a denominator the same with the numerator of variable x which is 9. Then divide the difference:
<span><u>9x</u> = <u>5.0</u>
9 9</span>
<span>
<span><span>
<span>
<span>Therefore, x = <u>5
</u> 9</span>
</span>
</span>
</span></span>
First find the number of ft around the garden and if it took Clare 30 min to walk the entire distance divide your previous answer by 30 so you can see how many ft per minute she was walking