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Elza [17]
3 years ago
14

Sponsorships Math Quiz

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
7 0

Answer:

B

Step-by-step explanation:

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What is 644.4 rounded to the nearest one
Arlecino [84]
644.4 rounded to the nearest one would be 644
8 0
3 years ago
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If cos(θ)= -2/3 and θ lies in quadrant II, find the value of cotθ
Lera25 [3.4K]

\text{Given that,}\\\\\cos \theta = - \dfrac 23\\\\\implies \cos^2 \theta  = \dfrac 49\\\\\implies 1- \sin^2 \theta = \dfrac 49\\\\\implies \sin^2 \theta =1-\dfrac 49\\\\\implies \sin^2 \theta =\dfrac 59\\\\\\\text{Now,}\\\\\cot^2 \theta = \dfrac{\cos^2 \theta}{\sin^2 \theta} \\\\\\\implies \cot^2 \theta = \dfrac{\tfrac 49}{\tfrac 59}\\\\\\\implies \cot^2 \theta = \dfrac 49 \times \dfrac 95\\\\\\\implies \cot^2 \theta = \dfrac 45\\\\\\

\implies \cot \theta = \pm\sqrt{\dfrac 45} =  \pm \dfrac 2{\sqrt 5}\\\\\\\text{Since}~ \theta ~ \text{lies in the second quadrant,}  \cot \theta ~\text{will be negative.}\\\\\text{Hence,}~ \cot \theta = - \dfrac{2}{\sqrt 5}

6 0
2 years ago
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28.6% of city employees ride the bus to work. Last year, 29.7% of city employees rode the bus to work. What is the relative chan
yaroslaw [1]

A percentage is a way to describe a part of a whole. The relative change from last year to this year is 3.7%.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

28.6% of city employees ride the bus to work, therefore, the final value is 28.6. While Last year, 29.7% of city employees rode the bus to work, therefore, the initial value is 29.7.

Since relative change means change with respect to some value. Thus, the relative value with respect to last year is,

Relative value = (29.7-28.6)/29.7 = 0.037 = 3.7%

Hence, the relative change from last year to this year is 3.7%.

Learn more about Percentages:

brainly.com/question/6972121

#SPJ1

8 0
2 years ago
Find the distance between -6 - 8
Viefleur [7K]

Answer:

2

Number line.

We start at -6 or -8.

If we start from -6, we will be going __ spaces to the left until we get to -8.

Or start from -8 and go __ spaces to the right until you get to -6.

Then count the spaces.

You'll get 2.

4 0
3 years ago
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Please answer 2.) a and b!
KatRina [158]

1.a. correct

1.b. \sqrt{121} - \sqrt{9} = 11 - 3 = 8

1.c. correct

1.d. -\sqrt{36} - \sqrt{100} = -6 - 10 = -16

2.a. 7 - x + 3w - 9

Terms: 7, -x, 3w, -9

Variables: x, w

Coefficients: -1, 3

Constants: 7, -9

2.b. -g + 8k - 3 - 7

Terms: -g, 8k, -3, -7

Variables: g, k

Coefficients: -1, 8

Constants: -3, -7

3.a. correct

3.b. correct

3.c. -5+ 4x = -x

4.a. 4(2x + 3) = 8x + 12

4.b. -2(3x + 4) = -6x - 8

4.c. -5(2x - 3) = -10x + 15

7 0
3 years ago
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