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g100num [7]
3 years ago
5

What is the length of the diagonal of the rectangle? Round to two decimal places

Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

Option C

Step-by-step explanation:

By the property of a rectangle,

"All interior angles of a rectangle measure 90°"

Therefore, m∠ABC = 90°

By applying cosine rule in the right triangle ABC,

cos(∠CAB) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(25°) = \frac{AB}{AC}

AC = \frac{AB}{\text{cos}(25)}

AC = \frac{18}{\text{cos}(25)}

AC = 19.86

Therefore, Option C will be the answer.

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Divide and simplify 5/12÷20/36
gregori [183]
Hello there! The formula for dividing fraction is keep, change, flip. You keep the first fraction the same, change division into multiplication, and flip the second fraction over by its reciprocal. In this case, 5/12 remains the same, division becoems multiplication, and 20/36 flips over to become 36/20. So the expression becomes this:

5/12 * 36/20

Now, we multiply straight across. 5 * 36 is 180. 12 * 20 is 240. 180/240 is 3/4 in simplest form. There. The quotient is 3/4.
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3 years ago
Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to
Ratling [72]

Answer: point estimate = 3.88

Margin of error = 0.63

Step-by-step explanation:

Confidence interval is written in the form,

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x - m = 3.25

x + m = 4.51

Adding both equations, it becomes

2x = 7.76

x = 7.76/2

x = 3.88

Substituting x = 3.88 into x + m = 4.51, it becomes

3.88 + m = 4.51

m = 4.51 - 3.88

m = 0.63

8 0
3 years ago
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Answer:

Step-by-step explanation:

y = (-1/4)x - 4 has a y-intercept of (0, -4).  Place a dark dot at (0, -4).  

Now we use the info from the slope, -1/4:

Starting with your pencil point on the dot (0, -4), move the pencil point 4 units to the right and then 1 unit down.  You will now be at (4, -5).  Place a dark dot there.  

Then draw a straight, solid line through (0, -4) and (4, -5).

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Which quadratic function has a vertex at (-1,4) and is translated up 4, translated left 1, and compressed horizontally?​
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