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Andre45 [30]
3 years ago
15

You 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. Numerical Answers Expected!
Mathematics
1 answer:
Inessa [10]3 years ago
8 0
Set up a proportion:

2       x
--  =  --
5      10.5

Then just solve for x
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Please help me with this question. image attached.
Alona [7]

Answer:

Answer: A as you have indicated.

Step-by-step explanation:

Givens

  • There are two sides that are 3.1 cm in length
  • There are two sides that are 6.2 cm in length

Formula

  • P = 2*(b + a)
  • where b is the base and
  • where a is the side

Solution

  • P = 2*(6.2 + 3.1)       Add what is inside the brackets
  • P = 2*9.3                 Multiply
  • P = 18.6

Answer A


7 0
3 years ago
Answer this equation: 4 3/5 - -3 2/5 + 3
horrorfan [7]

Answer:

24

Step-by-step explanation:

4\frac{3}{5} -(-3\frac{2}{5})+3

Negative and another negative makes a positive.

4\frac{3}{5}+3\frac{2}{5}+3

Add the fractions first.

7\frac{5}{5}+3

5/5 is equivalent to 1. 7 5/5 becomes 8.

8+3

Add the numbers.

24

I hope this helps!

6 0
3 years ago
Read 2 more answers
Simplify sqrt 244x + sqrt 36x - sqrt 25x
Morgarella [4.7K]
First simplify the square roots: 2 \sqrt{61x}+6 \sqrt{x}-5 \sqrt{x}
Then simplify the last two terms: 2 \sqrt{61x}+\sqrt{x}
Since 61 is prime, you can't take a rational root out of it. 
8 0
4 years ago
(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this
Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta

Simplify. The denominator uses the difference of two squares pattern:

\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta

Split into two separate fractions:

\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta

Rewrite the two fractions:

\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=}  \sec^2\theta - \sec\theta\tan\theta

Hence verified.

8 0
3 years ago
A line passes through the point (8,-7) and has a slope of -5/4.
AURORKA [14]

Answer:

8 7

Step-by-step explanation:

Because the number will be positive

4 0
3 years ago
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