The answer to that would be D!
The value of 'x' is 24.2 and the value of 'y' is 46.5.
To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
cos30° = b/34 [adjacent over hypotenuse]
b = 34cos30° [cross-multiply]
b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
l² + l² = hyp²
29.4² + h² = 34²
h² = 1156 - 864.36
√h² = √291.64
h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.
Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
x = 17.1 × √2
x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u /> y = a + b
y = 17.1 + 29.4
y = 46.5
And there you have it! <em>Hope this helps.</em>
<em>
</em>
4/9s of the mall per hour. 1/9 + 1/9 + 1/9 + 1/9
Answer:
Therefore,
Step-by-step explanation:
Let Assume Some Diameter of a Circle, to Solve it
Diameter = d = 14 inch ( say )
C =Circumference
Pi =constant = 3.14
To Find:
C = ?
Solution:
Formula for Circumference of a Circle is given as
Where,
C = Circumference
d = Diameter
Now Substitute d = 14 inches we get
This way we can find the circumference for any 'd' i.e Diameter
Therefore,
Answer:
3.012 Yards
If that is an answer choice (which I suppose it is, as I have the sme question).
I will explain why:
Firstly the answer choices (A: 2.998, B. 3.001, C: 2.999) all fall below 3.002 yards, even though they aren't enough, it is still within a reasonable range, far closer to 3.002 than 3.012. Therefore, It would be your answer!~
