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Lemur [1.5K]
3 years ago
10

I don't know why its correct. Help explain to me pls.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

The rectangle they give you is 12 units tall. This is the result of scaling by a factor of 1.5, ie it is 1.5 times taller than what the answer will be. Let the answer rectangle have a height of h. This means h*1.5 = 12, or 1.5h = 12

Divide both sides by 1.5 to find that h = 8. The answer rectangle's height is 8 units.

The width's will be treated in a similar manner. I picked on the height since it's easier to see that the height lines up with 12 (the width seems to be between 2 and 4, but its not clear if its at the midpoint).

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Two interior angles of a scalene triangle measure 85 and 50 degrees. The third angle measures:
zmey [24]
The interior of a triangle = 180°
So 180° - 85° -50° = 45°

c. 45 degrees
3 0
3 years ago
Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4
Roman55 [17]

\bf \cfrac{1}{2}~~,~~\stackrel{2\cdot \frac{1}{2}}{1}~~,~~\stackrel{2\cdot 1}{2}~~,~~\stackrel{2\cdot 2}{4}~~,...

so as you can see the common ratio is 2, and the first term is 1/2,

\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad  \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}

4 0
4 years ago
Read 2 more answers
HELP FOR NUMBER 16 THROUGH 19 QUICKLY PLEASE
Ymorist [56]
16)  9y+2r     If she bought 1 dog toy and 2 treats: 9(1)+2(2)= 13
17)  5n-3n= 2n
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18)  5h^3   h represents the # of weeks; Find # of tickets sold in 3 weeks:h=3
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19)  It is true
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8 0
3 years ago
Read 2 more answers
Muffins cost $3.00 per dozen.
GenaCL600 [577]

Answer:

I agree with both of them

Step-by-step explanation:

A dozen is 12 muffins. Therefore, you pay $3.00 for 12 muffins.

We know that you pay $3.00 for 12 muffins we need to find out how much EACH muffin cost. For that we need to divide $3.00 by 12 which is 0.25.

Now we need to know how much it will cost us for 16 muffins. We use our equation 16*0.25 which is 4. Elena said she will pay 4 so she is right.

Andre said he will buy 8 muffins so we use our equation again 8*0.25 which is 2. He said he will pay 2 so he is right.

5 0
3 years ago
I need help with 5 and 6 please​
Yakvenalex [24]

Step-by-step explanation:

since both spinners are independent from each other, we can directly multiply their probabilities for the combined event.

1)

1/5 × 1/3 = 1/15

2)

1/5 × 2/3 = 2/15

3)

2/5 × 1/3 = 2/15 (you got that wrong on your paper)

4)

2/5 × 2/3 = 4/15

5)

3/5 × 1/3 = 3/15 = 1/5

6)

3/5 × 2/3 = 6/15 = 2/5

5 0
2 years ago
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