Answer:
cubic units
Step-by-step explanation:
To find the volume, we can multiply the base by the height.
*
is
, or
. So the volume is
cubic units.
Answer:
.687
Step-by-step explanation:
six hundred eighty-seven thousandths is 687/1000, or .687.
Answer:
D. 
F.
Step-by-step explanation:
We have been given an image of a triangle and we are asked to choose the remote interior angles of angle 1.
Since we know that remote interior angles are the two angles that are inside the triangle and opposite from the exterior angle.
We can see that angle 1 is exterior angle of our triangle and and angle 4 an 6 are opposite interior angles of angle 1.
Therefore, angle 4 and angle 6 will be remote interior angles of angle 1 and options D and F are correct choices.
Answer:
17 cows and 6 geese
Step-by-step explanation:
1. set up two equations:
C + G = 23 (number of cows and geese = total number of animals)
4C + 2G = 80 (cows have 4 legs, geese have 2 legs and the total # of legs is 80)
2. 2(C+G)=2(23) ===> 2C + 2G = 46
3. subtract 4C + 2G = 80 and 2C + 2G = 46 to equal 2C=34, divide by 2 and C=17 (17 cows)
4. apply 17 back to the original (C + G = 23) equation to get: 17 + G = 23, subtract 17 from 23 and G=6 (6 geese)
i hope the way i explained it was clear! :)
Answer:
A. 21
Step-by-step explanation:
Use the trigonometric function for the tangent of an angle because the adjacent side of the right-angled triangle is provided in the question, whilst the opposite side is x.
tan = opposite / adjacent
tan 60° = x / 7 * sqrt(3)
Now make x the subject of the equation.
x = tan 60° * 7 * sqrt(3)
x = 21
When multiplying, take into consideration all the digits on your calculator display.
Hope this helped!