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>
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</em>
For this case we must indicate an expression equivalent to:
For properties of powers we have to:
So, the above expression can be rewritten as:
Thus, the resulting expression is: 
Answer:
Option D
The answer is 13.5*3600=48600/1000cause you already have your meters per second. 13.5m/a and there are 3600 seconds in an hour then you divide that by the meters 1000 and you get **48.6**
Answer:
3 hour and 30 minutes
Step-by-step explanation:
Divide
When a function is translated, it means the function is moved away from its original position.
<em>The function g(x) is: </em>
<em />
Give that:
The rule of translation 5 units left is:
So, we have:
The rule of translation 3 units down is:
So, we have:
Hence, the function g(x) is:
Read more about translations at:
brainly.com/question/12463306
