Answer:
Center of dilation origin, The scale factor is 4, The dilation mapping is (x, y) → (4x,4y) and The image represents the shape of the triangle.
Step-by-step explanation:
Given Hector is making an art project by cutting and gluing fabric shapes to a wooden board. His design includes two similar triangles, with one 4 times the size of the other. He cuts the smaller fabric triangle and traces it onto grid paper. we have to tell how he can use the tracing to make a pattern for the larger fabric triangle.
Apply the center of dilation origin.
The scale factor is 4
The dilation mapping is (x, y) → (4x,4y)
The image represents the shape of the triangle.
Answer:
You'll need the attached formula.
Total = Principal * e ^ (rate * years)
rate = .04
Total = 2,000 * 2.718281828 ^ (.04 * 8)
Total = 2,000 * 2.718281828 ^ (.32)
Total = 2,000 * 1.3771277643
Total = 2754.2555285231
Total = 2,754.26 (rounded)
Step-by-step explanation:
Answer:
X=5,-2
Steps:
Get everything to the same side:
X^2-3x-10=0
Then factor:
(X-5)(x+2)=0
5^2-100=X
(5*5)
25-100=X
-75=X
hope this helps
Answer:
The answer to this question would be (to my best guess), 36 hours.
Step-by-step explanation:
First
You have to find the ratio between 87.5% and 100%. This is because you want to find what 100% represents.
To do this, you have to divide 100 by 87.5, which would represent 100 divided by 87.5. This will equal 1.142857142857143 , which isnt an easy number to work with.
Lastly
You have to multiply 1.142857142857143 by 31.5, because you reverse the previous operation, but the only difference is you swap out the percentages with the numbers they represent. This equals the final answer, which is 36, representing 36 hours.