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2 years ago

A store manager ordered 402 baseball caps and 122 ski caps estimate the total number of caps the manager ordered

Mathematics

1 answer:

sashaice [31]2 years ago

7 0

We don't need to estimate!
We can say exactly how many he ordered:
402+122=525 ordered caps

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Find out the answers to this

meriva

Answer:

$\tan \theta = - \frac{1}{5} = - 0.2$

$\cos \theta = 0.98$

$\sin \theta = - 0.196$

Step-by-step explanation:

It is given that $\cot \theta = - 5$ and $\theta$ is in the fourth quadrant.

So, only $\cos \theta$ will have positive value and $\sin \theta$ , $\tan \theta$ will have negative value.

Now, $\cot \theta = - 5$

⇒ $\tan \theta = \frac{1}{\cot \theta} = -\frac{1}{5}$ (Answer)

We know, that $\sec^{2} \theta - \tan^{2} \theta = 1$

⇒ $\sec \theta = \sqrt{1 + \tan^{2} \theta } = \sqrt{1 + (- \frac{1}{5} )^{2} } = 1.019$

{Since, $\cos \theta$ is positive then $\sec \theta$ will also be positive}

⇒ $\cos \theta = \frac{1}{\sec \theta} = \frac{1}{1.0198} = 0.98$ (Answer)

We know, that $\csc^{2} \theta - \cot^{2} \theta = 1$

⇒ $\csc \theta = - \sqrt{1 + \cot^{2} \theta } = - \sqrt{1 + (- 5 )^{2} } = - 5.099$

{Since, $\sin \theta$ is negative then $\csc \theta$ will also be negative}

⇒ $\sin \theta = \frac{1}{\csc \theta} = \frac{1}{- 5.099} = - 0.196$ (Answer)

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2 years ago

Im struggling with this

xeze [42]

Answer:

i cant read it sorry

Step-by-step explanation:

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2 years ago

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A class has 36 students and it is divided into two groups which are in the ratio 3:6. How many students in each group?

Marrrta [24]

Answer:

12:24

Step-by-step explanation:you simplify the ration to 1:2 and then divide 36 by 3 which is 12 and then times 1x12=12 and 12x2=24 and 24 +12=36

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2 years ago

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Find the amount of money a woman owes at the end of 3 years if 5% interest is compounded continuously on her $2500 debt

stepladder [879]

Answer:

$ 2904.59

Step-by-step explanation:

For CONTINUOUS compounding FV = PV e^it

FV = future value PV = present value i = decimal interest t = years

FV = 2500 e^(.05 * 3) = 2904.59

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1 year ago

1. Given a regular octagon, find the measures of the angles formed by (a) two consecutive radii and (b) a

Fed [463]

A ) The angle formed by 2 consecutive radii:
Ф= 360° : 8 = 45°
b ) The angle formed by a radius and a side of a polygon:
α = (180° - 45°): 2 = 135° : 2 = 67.5°
Answer:
B ) 45°, 67.5°

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2 years ago