9. The child is 10 years old, which leaves 37-10, which is 27. Divide 27 by three for the triplets. 27/3 is 9. The triplets are 9 years old
Answer:8 lilies and 12 tulips; total of 20 flowers.
Step-by-step explanation:
8 lilies for $3 each equals $24. 12 tulips for $2 each equals $24. Add that together and the total for the bouquet is $48.
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!
Answer:
12 unit cubes
Step-by-step explanation:
There are 4 unit cubes on each layer, and there are 3 layers as you can see. So 4 × 3 would equal 12.
Answer:
y = -17/2
Step-by-step explanation:
Substitute with the givens.
30= 8(8) + 4y.
Multiply parentheses.
30 = 64 + 4y
Subtract.
30-64= -34
-34 = 4y.
Divide each side by 4.
y = - 8.5, or -17/2
hope that is right!
