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Amiraneli [1.4K]
3 years ago
5

ou originally draw a design for an art contest on a 2 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
Mathematics
1 answer:
valentina_108 [34]3 years ago
8 0

Since the largest size of one of the dimensions is 10.5, it has to correspond with the long side of the card, the 5 in. side. To find the proportion of the sides, divide 10.5 by 5. Then, multiply the other side of the card by the quotient.

10.5/5 = 2.1

2.1 * 2 = 4.2

4.2in is the shorter side. Your question asks to round to the nearest tenths, the smallest place value of the answer is already the tenths place.

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Read 2 more answers
Line t passes through points (10, 1) and (2, 6). Line u is perpendicular to t. What is the slope of line u?
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Let's find the slope for line t first.

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8 0
3 years ago
How many terms are in the arithmetic sequence shown below?<br>15, 7, -1, -9...,-225
NemiM [27]
We know that

We can write an Arithmetic Sequence as a rule:

<span>an = a1 + d(n−1)</span>

where

<span>a1 = the first term
<span>d =the "common difference" between terms

in this problem
a1=15  a2=7  a3=-1  a4=-9  .....    an=-225
d=a2-a1  
d=7-15-----> d=-8

</span></span>an = a1 + d(n−1)
for
an=-225
d=-8
a1=15
find n
-225=15+(-8)*(n-1)--> (n-1)=[-225-15]/-8----> n-1=30---> n=30+1---> n=31

the answer is
31

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saveliy_v [14]
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8 0
3 years ago
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