Answer:
40/20, 40:20, 40 to 20
Step-by-step explanation:
20min/1hr
40min/1hr
Question order asks ratio from outside time to inside time so the 40 would come first. also, all the above are correct. You can write a ratio as a fraction, with a colon, or with the word to.
Answer:
Options 1, 3 and 4 are true
Step-by-step explanation:
The legs EF and DF of the right triangle DEF have lengths of 24 units and 7 units, respectively. By the Pythagorean theorem,
![DE^2=EF^2+DF^2\\ \\DE^2=24^2+7^2\\ \\DE^2=576+49\\ \\DE^2=625\\ \\DE=25\ units](https://tex.z-dn.net/?f=DE%5E2%3DEF%5E2%2BDF%5E2%5C%5C%20%5C%5CDE%5E2%3D24%5E2%2B7%5E2%5C%5C%20%5C%5CDE%5E2%3D576%2B49%5C%5C%20%5C%5CDE%5E2%3D625%5C%5C%20%5C%5CDE%3D25%5C%20units)
Find trigonometric functions:
![\sin \angle D=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}](https://tex.z-dn.net/?f=%5Csin%20%5Cangle%20D%3D%5Cdfrac%7B%5Ctext%7BOpposite%20leg%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D%3D%5Cdfrac%7BEF%7D%7BDE%7D%3D%5Cdfrac%7B24%7D%7B25%7D)
![\cos \angle E=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}](https://tex.z-dn.net/?f=%5Ccos%20%5Cangle%20E%3D%5Cdfrac%7B%5Ctext%7BAdjacent%20leg%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D%3D%5Cdfrac%7BEF%7D%7BDE%7D%3D%5Cdfrac%7B24%7D%7B25%7D)
![\tan \angle D=\dfrac{\text{Opposite leg}}{\text{Adjacent leg}}=\dfrac{EF}{DF}=\dfrac{24}{7}](https://tex.z-dn.net/?f=%5Ctan%20%5Cangle%20D%3D%5Cdfrac%7B%5Ctext%7BOpposite%20leg%7D%7D%7B%5Ctext%7BAdjacent%20leg%7D%7D%3D%5Cdfrac%7BEF%7D%7BDF%7D%3D%5Cdfrac%7B24%7D%7B7%7D)
![\sin \angle E=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{DF}{DE}=\dfrac{7}{25}](https://tex.z-dn.net/?f=%5Csin%20%5Cangle%20E%3D%5Cdfrac%7B%5Ctext%7BOpposite%20leg%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D%3D%5Cdfrac%7BDF%7D%7BDE%7D%3D%5Cdfrac%7B7%7D%7B25%7D)
Thus, options 1, 3 and 4 are true
Answer: 1,431
<u>Step-by-step explanation:</u>
split the thing into two rectangular prisms
small prism dimensions: 18 x 2 x 3
multiply the dimensions to get 108
large prism dimensions: 7 x 21 x 9
multiply the dimensions to get 1,323
add 1,323 and 108 together to get 1,431
Answer:
150
Step-by-step explanation:
The overall answer should equal 360. 90+90+30=210. That leaves us with x. Try subtracting 360-210=x. :) Hope this helps!