Answer: 70 meters
Step-by-step explanation:
Hi, since the situation forms a right triangle and a rectangle, we have to apply the Pythagorean Theorem (for the triangle)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (the longest side) and a and b are the other sides.
Replacing with the values given:
65^2 = 16^2 + x^2
4,225 = 256 + x^2
4,225-256 = x^2
3,969=x^2
√3,969 =x
63=x
We have calculated the missing side of the triangle, now we have to add the height of the rectangle:
63 +7 =70 meters
Feel free to ask for more if needed or if you did not understand something.
Answer:
$24.15
Step-by-step explanation:
Since we know its 35% of the original price we simply do 69×35% which equals 24.15. You can do it on your own work, or on a calculator to check.
You could also divide 69 by a hundred, which gives you .69 and multiply it by 35 which gives you the same answer
A. Special right triangles 26 = hyp = 2x
x = 13
The other 2 sides are x and x • square root of 3
Answer:
.22 - .06= .16
.16y should be your equation
Answer:
![\sf d.) \ 3\dfrac{1}{2} \:\ cubic \ feet](https://tex.z-dn.net/?f=%5Csf%20d.%29%20%5C%20%203%5Cdfrac%7B1%7D%7B2%7D%20%5C%3A%5C%20cubic%20%5C%20feet)
Explanation:
Volume of carton = Length × Width × Height
Here volume:
![volume= 1\dfrac{2}{3} \times 1\dfrac{2}{5} \times 1\dfrac{1}{2}](https://tex.z-dn.net/?f=volume%3D%201%5Cdfrac%7B2%7D%7B3%7D%20%5Ctimes%201%5Cdfrac%7B2%7D%7B5%7D%20%5Ctimes%201%5Cdfrac%7B1%7D%7B2%7D)
rewrite in improper fraction
![= \dfrac{5}{3} \times \dfrac{7}{5} \times \dfrac{3}{2}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B5%7D%7B3%7D%20%5Ctimes%20%5Cdfrac%7B7%7D%7B5%7D%20%5Ctimes%20%5Cdfrac%7B3%7D%7B2%7D)
join fractions
![= \dfrac{(5)(7)(3)}{(3)(5)(2)}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B%285%29%287%29%283%29%7D%7B%283%29%285%29%282%29%7D)
multiply
![= \dfrac{105}{30}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B105%7D%7B30%7D)
simplify
![= \dfrac{7}{2}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B7%7D%7B2%7D)
rewrite in mixed fraction
![= 3\dfrac{1}{2}](https://tex.z-dn.net/?f=%3D%203%5Cdfrac%7B1%7D%7B2%7D)