Please can you check my answerYou originally draw a design for an art contest on a 4 in. x 5 in. card. The second phase of the contest requires the drawing to be transferred to an 8.5 in x 11 in. standard sheet of paper and utilize as much of the space on the paper as possible. You determine that the largest size one of the dimensions of your drawing can be is 10.5 in. What is the length of the other dimension if the two drawings are similar? Type your exact answer in the blank without the units, and round to the nearest tenths.
Are the following figures similar?
Rectangles ABCD and EFGH are shown. BC equals 50, CD equals 20, FG equals 42, GH equals 12. Angles ABC, EFG, BCD and FGH are marked congruent.
a) Yes; the corresponding angles are congruent.
b) No; the corresponding angles are not congruent.
c) Yes; the corresponding sides are proportional.
d) No; the corresponding sides are not proportional.
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2.a)yes, b)no, c)yes, d)no. -I'd say you did good..
Answer:
the answer is 1.0 i believe
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-- Take the repeating part of the decimal. In this one, it's '764' .
-- Make a fraction out of it by writing it over the same number of 9s.
The fraction here is 764/999 .
-- Simplify it if possible and if you feel like it.
764/999 can't be simplified. (I think.)
So the rational expressions for this decimal are
(5 and 764/999) or 5759/999 .
Final answer:
To convert the repeating decimal 5.764764764... to a rational number, we first create a variable to represent the decimal, then manipulate it to remove the repeating part. The resulting rational expression is 5759/999.
Explanation:
Conversion of a Repeating Decimal to a Rational Number
Let's create a variable, X, to represent the repeating decimal 5.764764764....
X = 5.764764764...
Now, to get rid of the repeating section, we'll multiply X by 1,000 (since the repeating part is three digits). This gives us a new equation:
1,000X = 5764.764764...
We can subtract the original equation from this new one to get rid of the repeating decimal.
1,000X - X = 5764.764764... - 5.764764764...
This simplifies to 999X = 5759.
Finally, we divide both sides by the coefficient of X (999) to get:
X = 5759 / 999
Therefore, the rational expression for the repeating decimal 5.764764764... is 5759/999.
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The required distance after time t is given as 1.5t.
Given that,
Speed in the race is given as 1.5 meters per second, to determine distance, d, is covered after, t, seconds.
What is Distance?
Distance is defined as the object traveling at a particular speed in time from one point to another.
What is speed?
Speed is defined as when an object is subjected to movement, the distance covered by the object in a certain time interval is the speed of that object.
Here,
Speed = 1.5 m/s
Distance = speed × time
Distance = 1.5 × t
Distance(d) = 1.5t
Thus, the required distance after time t is given as 1.5t.
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