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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Answer:
a) so if you're looking for a then you substitute the a in the problem so the real question would be answered by simply doing this. 3 times (do this first) 6 times 3. so it would end up looking like this if you did it in your head. 6x3=18 then 18x3= 54 so the answer for ten after you did all the math would equal out to be 54.
d) so you're going to substitue the d again, for what it tells you d equals. in this case, d= a negative 2 so, 5 x do this first -2 x 4 = so if you did this in your head you would end up with -2 x 4 = -8 because anything times a negative is turned into a negative. so that is why the answer is -8 for the first part. then you multiply that answer by 5 because we all like the 5 dollar foot longs. so carry that into an answer of - 40. because we all know we want to be younger once we reach 40.
r) 5times -3 equals -15 times 2 would be... ding ding ding 30 because a negative times a negative is a positive. think of negatives this way. when you frown it's your smile upside down. ok so a frown is a negative, if you multiply a negative to a negative it's like turning your frown upside down. so you end up with a positive! ok?! so there. the secrets of life and math.
call me for the rest of the answers... this is too much to write down.
Step-by-step explanation:
5=1/5x-3
+3 +3
8=1/5x
8•5 1/5x•5
40=x
