Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft
Hey there! I'm happy to help!
Step 2 is incorrect. She added 4 and 2 first, but you are supposed to multiply and divide first. Then she multiplied 6 and 6, which is 36. Then she divided 36 and 2, which is 18, and then she subtracted 7, giving her 11. Step 2 is what threw the whole thing off.
Here is what Sandy should have done.
STEP 1: 6·4+2÷2-7
STEP 2: 24+1-7
STEP 3: 25-7
STEP 4: 18
I hope that this helps! Have a wonderful day! :D
30=1/2 inch
60=1/2x2=1 inch
90=1/2x3=1 1/2
shortest side is 1/2 inch, medium side is 1 inch, longest is 1 1/2
Answer:
3x - 9 - (6 / (x+4))
Step-by-step explanation:
3x - 9
|----------------------------------------
(x +4) | (3x^2 + 3x - 42 )
3x^2 + 12x
------------------------------
-9x - 42
-9x - 36
-----------------------------------
- 6
Answer: 3x - 9 - (6 / (x+4))
Answer:
106 : 84
Step-by-step explanation:
53 : 42 = 106 : 84
The ratio is already in lowest terms so found I an equivalent ratio by multiplying both terms by 2.