Zero and four hundred ninety six
Answer:h
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
The smallest angle will be opposite the smallest side
F
Given that,
The side length of a square garden ![=12\dfrac{2}{3}\ \tet{feet}=\dfrac{38}{3} \text{feet}](https://tex.z-dn.net/?f=%3D12%5Cdfrac%7B2%7D%7B3%7D%5C%20%5Ctet%7Bfeet%7D%3D%5Cdfrac%7B38%7D%7B3%7D%20%5Ctext%7Bfeet%7D)
A farmer plants squash in a garden with a perimeter of 50 1/2 feet = 50.5 feet
To find,
Which garden has a greater perimeter.
Solution,
The area of a square is given by :
A = 4s, s is side of square
A farmer plants beets, the perimeter is :
![A=4\times \dfrac{38}{3}\\\\=50.67\ cm](https://tex.z-dn.net/?f=A%3D4%5Ctimes%20%5Cdfrac%7B38%7D%7B3%7D%5C%5C%5C%5C%3D50.67%5C%20cm)
Hence, the square garden with side lengths 12 2/3 feet will have more perimeter.
Answer:
![\boxed{x=73.74}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D73.74%7D)
![\boxed{y=16.26}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D16.26%7D)
![\boxed{z=25}](https://tex.z-dn.net/?f=%5Cboxed%7Bz%3D25%7D)
Step-by-step explanation:
Hello there!
<u>Algebra 1</u>
The first thing we should find is the missing angle
Because this is a right triangle we can solve it using the Pythagorean Theorem
The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared
the formula...
where a and b = legs and c = hypotenuse
we are given two legs so we plug in a and b and solve for c
![7^2+24^2=c^2\\7^2=49\\24^2=576\\576+49=625\\625=c^2\\\sqrt{c^2} =c\\\sqrt{625} =25\\c=25](https://tex.z-dn.net/?f=7%5E2%2B24%5E2%3Dc%5E2%5C%5C7%5E2%3D49%5C%5C24%5E2%3D576%5C%5C576%2B49%3D625%5C%5C625%3Dc%5E2%5C%5C%5Csqrt%7Bc%5E2%7D%20%3Dc%5C%5C%5Csqrt%7B625%7D%20%3D25%5C%5Cc%3D25)
so we can conclude that the missing side length ( or z) equals 25
now to solve for the angles
<u>Trigonometry</u>
We can solve for y using sin
sin = opposite side divided by the hypotenuse
the opposite of y is 7 and the hypotenuse is 25
so we set up an equation ![sin(y)=\frac{7}{25}](https://tex.z-dn.net/?f=sin%28y%29%3D%5Cfrac%7B7%7D%7B25%7D)
now we solve for y
![\frac{7}{28} =.28\\arcsin(y)=y\\arcsin(.28)=16.26020471](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B28%7D%20%3D.28%5C%5Carcsin%28y%29%3Dy%5C%5Carcsin%28.28%29%3D16.26020471)
then we round to the nearest hundredth
so we can conclude that angle labeled y = 16.26
<u>basic geometry</u>
Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180
180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74