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Nikolay [14]
2 years ago
10

You 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?
Mathematics
1 answer:
Nutka1998 [239]2 years ago
6 0
 as we know that <span>If the 4" side of the card was scaled up to 10.5
 then the scaling factor is 10.5/4 = 2.625. 
The 5 side would  be the length 5 x 2.625 = 13.125 which exceeds the maximum dimension of 11. 

Thus, it is the 5 side which is scaled up to 10.5 and the scaling factor is therefore 10.5/5 = 2.1. 
The scaled up length of the 4 side is thus 4 x 2.1 = 8.4.</span>
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Is this question a statistical question or a non statistical question : If I
enot [183]

Answer:non statistical

Step-by-step explanation:

8 0
3 years ago
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A gymnast dismounts the uneven parallel bars. Her height, h, depends on the time, t, that she is in the air h = −162 + 24t + 16.
dimulka [17.4K]
That is when h=0
so assuming yo meant
h(t)=-16t²+24t+16
solve for t such that h(t)=0
because when height=0, the gymnast hits the ground

so
0=-16t²+24t+16
using math (imma complete the square
0=-16(t²-3/2t)+16
0=-16(t²-3/2t+9/16-9/16)+16
0=-16((t-3/4)²-9/16)+16
0=-16(t-3/4)²+9+16
0=-16(t-3/4)²+25
-25=-16(t-3/4)²
25/16=(t-3/4)²
sqrt both sides
+/-5/4=t-3/4
3/4+/-5/4=t
if we do plus (because minus would give us negative height)
8/4=t
2=t
it takes 2 seconds
5 0
2 years ago
Randy wants to join a gym to lose his winter weight. Gym A has a membership fee of $39 and charges $30 per month. Gym B has a me
siniylev [52]

Answer:

5 months

Step-by-step explanation:

Value m= months

Gym A Money needed to pay= 30m+ 39

Gym B Money needed to pay= 20m+ 89

30m+ 39= 20m+ 89

Now isolate m

(30m-20m) + (39-39)= (20m-20m) + (89-39)

10m = 50

10m/10= 50/10

m=5; You can plug this number in to check my answer.

8 0
3 years ago
Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers o
tresset_1 [31]
ANSWER
13 {x}^{3}  - 2 {x}^{2}  + 3x + 13

EXPLANATION

The first polynomial is
5 {x}^{3}  + 3 {x}^{2}  - 5x + 4


The second polynomial is
8 {x}^{3}  - 5 {x}^{2}  + 8x + 9


If we add the two polynomials we obtain,



(5 {x}^{3}  + 3 {x}^{2}  - 5x + 4) + (8 {x}^{3}  - 5 {x}^{2}  + 8x + 9)


Next we group like terms to obtain,


5 {x}^{3} + 8 {x}^{3}+ 3 {x}^{2}  -5 {x}^{2}   - 5x  + 8x + 9 + 4



We simplify the to obtain,


13{x}^{3} -2{x}^{2}    + 3x + 13

This is the sum of the two polynomials in descending powers of
x


Descending means from the highest power to the least.
8 0
3 years ago
As front passed,the temperature changed steadily over 6 hours. altogether it changed -18 degrees. what was the change in tempera
Anettt [7]
The temperature changed steadily over the 6 hours, which means that it changed the same amount of degrees every hour.  It changed -18 degrees in 6 hours. 
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-18 ÷ 6 = -3
The change in temperature per hour is -3°.
5 0
3 years ago
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