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Charra [1.4K]
2 years ago
12

Isabella is making a huge flag of her country, the Republic of Seychelles, on a canvas 20 by 10 meters long. To do that, she has

to draw a diagonal line that begins at the bottom-left corner and ends at the top side of the flag, 6.66.66, point, 6 meters to the right. Since the ends of the diagonal line are too far to put a ruler between them, Isabella wanted to find the angle of the diagonal and draw it using a protractor.
What is the angle of elevation, in degrees, of the diagonal?
Mathematics
1 answer:
erica [24]2 years ago
7 0

Answer:

33.4

Step-by-step explanation:

We are given the side opposite to the missing angle and the side adjacent to the missing angle. The appropriate trigonometric ratio is therefore the tangent.

Denoting the missing angle by 0, we obtain the equation Tan(0)= 6.6/10

Evaluating this result in the calculator and rounding to the nearest tenth, we get 0=33.4

The angle between the diagonal line and the left edge of the flag is 33.4

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Choose the list that shows these numbers in order from smallest to largest.
svetlana [45]

Answer:

0.3, 0.32, 0.321, 0.345

Step-by-step explanation:

The maximum number of decimals shown in the series is 3.

Therefore, let's rewrite all the numbers with three decimal places.

0.32, 0.321, 0.3, 0.345 can be written as

0.320, 0.321, 0.300, 0.345

Now, we can easily compare the numbers and we can conclude:

0.300 < 0.320 < 0.321 < 0.345

Hence, the smallest to largest order is:

0.3, 0.32, 0.321, 0.345

4 0
3 years ago
Mike paid $11.71 total
yan [13]

Answer:

Bill received 13.68 change back.

Step-by-step explanation:

20-6.32=13.68

7 0
3 years ago
Read 2 more answers
What is the factorization of the polynomial below?
katrin [286]

Answer:

A. (2x + 5)(2x - 5)

Step-by-step explanation:

Factor out the polynomial given.

(4x² - 25) = (2x - 5)(2x + 5)

Check: Use the FOIL method.

(2x)(2x) = 4x²

(2x)(5) = 10x

(2x)(-5) = -10x

(-5)(5) = -25

Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25

A. (2x + 5)(2x - 5) is your answer

~

5 0
3 years ago
Read 2 more answers
Will mark brainlest help me please​
Allushta [10]

Answer:

  • no le entiendo por qué estás en inglés

7 0
3 years ago
Need answers ASSAP
ollegr [7]
Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt: \pi \approx3.14
V (volume) = ?
Ink cost per cubic inch = $0.05/in³
Total cost: ?

<span>Calculate the volume of the paint bucket (its formed being cylindrical), we have:
</span>V =  \pi *r^2*h 
V = 3.14 *3.5^2*8 
V = 3.14*12.25*8
\boxed{V = 307.72\:in^3}

<span>What was the total cost of the paint?

</span>price($)___measure(in³)
0.05 ---------- 1
y -------------- 307.72

It is made the rule of three: (<span>directly proportional)
</span>
\frac{0.05}{y} = \frac{1}{307.72}
multiply cross
1*y = 0.05*307.72
y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark

Answer:
<span>the total cost of the paint is $15</span>
7 0
3 years ago
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