to find the hypotenuse (or the ramp in question 4) you can use the equation
![a^{2} +b^{2} =c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%3Dc%5E%7B2%7D)
with a and b being the 3 feet and 9 feet and c being the unknown (ramp).
So if you plug 3 and 9 into the equation, it looks like this.
![3^{2} +9^{2} =c^{2}](https://tex.z-dn.net/?f=3%5E%7B2%7D%20%2B9%5E%7B2%7D%20%3Dc%5E%7B2%7D)
then square them.
![9+81=c^{2}](https://tex.z-dn.net/?f=9%2B81%3Dc%5E%7B2%7D)
simplify.
![90=c^{2}](https://tex.z-dn.net/?f=90%3Dc%5E%7B2%7D)
take the square root of both sides.
![\sqrt{90} = c](https://tex.z-dn.net/?f=%5Csqrt%7B90%7D%20%3D%20c)
is approx. 9.5 so the answer would be H.
Amount of money collected in the 2-day fundraiser is represented by the following equations:
- 12x + 4y = 152 .................. (i)
- 32x + 12y = 420 .................. (ii)
where x is the cost of a chicken lunch and y is the cost of a vegetarian lunch
Multiplying (i) with 3 and subtracting it from (ii)
36x + 12y - (32x + 12y) = 456 - 420
⇒ 4x = 36
⇒ x = 9
Put value of x in (i)
⇒ 12 × 9 + 4y = 152
⇒ 108 + 4y = 152
⇒ 4y = 44
⇒ y = 11
Hence, cost of the vegetarian meal is 11.
Answer
(tan x + 3)=5
Step-by-step explanation:
Based on the interior angle measure at Bermuda, the interior angle measure at San Juan, the value of y can be found to be 61.8°
<h3>What is the value of y?</h3>
The interior angle measures at Bermuda, San Juan, and Fort Lauderdale take the shape of a triangle so they will add up to the total interior triangle measure of 180°.
y is also the angle at For Lauderdale so the value of y is:
y + (y - 7.5) + 63.9 = 180°
Solving gives:
y + y - 7.5 + 63.9 = 180
2y = 180 - 63.9 + 7.5
2y = 123.6
y = 123.6/2
= 61.8°
Find out more on interior angles at brainly.com/question/24966296
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