Answer:
3
Step-by-step explanation:
I'm just guessing because you don't give any numbers or anything at all
Set 40 = 5x + 10
Subtract 10 on both sides, then divide 30 by 5
x = 6
Answer: 6 students
Step-by-step explanation:
The teacher wants to give each student 2/3 of a slice of pizza but only has 4 slices to give.
If each student gets 2/3 out of 4 slices, the number of students receiving will be:
= Slices / proportion per slice
= 4 / 2/3
= 4 * 3/2
= 12/2
= 6 students
Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!
√(43) = 6.55.
-3√(2) = -4.24...
√(43) > 3.6 > -3√(2)
