Ciara brought $240 to spend on gifts for her family. she found 8 identical statues at the gift shop. she had $72 leftover. how m
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle ACD
Find the length side AC
Applying the Pythagorean Theorem
substitute the given values
simplify
step 2
In the right triangle ACD
Find the cosine of angle CAD
substitute the given values
----> equation A
step 3
In the right triangle ABC
Find the cosine of angle BAC
substitute the given values
----> equation B
step 4
Find the value of x
In this problem
----> is the same angle
so
equate equation A and equation B
solve for x
Multiply in cross
step 5
Find the length of BC
In the right triangle BCD
Applying the Pythagorean Theorem
substitute the given values
simplify
Answer:
36 objects
Step-by-step explanation:
You want the value of x when t=9, so you're solving ...
9 = 0.007x^2 +0.003x
9 = 0.007(x^2 + 3/7x)
From here, we observe that an approximation is probably sufficient.
9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2
x ≈ 3/√.007 ≈ 35.9 ≈ 36
We can check:
.007(36)(36 3/7) = 9.18
.007(35)(35 3/7) = 8.68
To keep the computer busy for 9 seconds, it needs to sort 36 objects.
