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3 years ago

378 shipments/week =_____ shipments/day

Mathematics

2 answers:

neonofarm [45]3 years ago

6 0

Answer:

Step-by-step explanation:

Assuming you mean a typical 7-day week... then 378 shipments in one week is the same as 378 shipments in 7 days.

To find a unit rate of shipments per day... simply divide 378 shipments by the 7 days

378 shipments/ 7 days = 54 shipments per day

Fittoniya [83]3 years ago

4 0

Answer:

Step-by-step explanation:

378 ÷ 7 = 54

hope it helped

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What is cos theta when sin theta = sqrt 2/3

Fittoniya [83]

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

Using , this identity we have ;

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

$\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}$

3 0

2 years ago

Convert the angle 1.5 radians to degrees, rounding to the nearest 10th.

Keith_Richards [23]

Answer:

85.9 (to the nearest hundredth)

Step-by-step explanation:

1 radian = 180°/ $\pi$

Therefore, 1.5 radians = 1.5 x (180°/ $\pi$ ) = 270/ $\pi$ = 85.9 (to the nearest hundredth)

8 0

2 years ago

Read 2 more answers

The area of a rectangle is 490490 in squaredin2. the ratio of the length to the width is 5 : 25:2. find the length and the width

Arlecino [84]

Let the width be 2w. Then the lenght is 5w. So:
(2w)(5w)=490
10w²=490
w²=49
w=±7
So, 2w=width=14 in; and 5w=length=35 in
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6 0

3 years ago

1. Last year a fishing license cost $52.00. This year the license will cost $46.80.

Talja [164]

Answer:

10%

Step-by-step explanation:

First, get the drop in value by deducting the price this year from last year's price.

Value decrease=$52.00-$46.80=$5.20

To express it as a percentage, we divide it by the original price which was $52.00 then multiply by 100 hence the percentage decrease will be

$\frac {5.20}{52.00}\times 100=10\ %$

Therefore, the price decreases by 10%

6 0

3 years ago

Suppose the population of all public universities shows the annual parking fee per student is $110, with a standard deviation of

vampirchik [111]

The probability would be 0.9738.

We first find the z-score for each end of this interval:

z = (x-μ)/(σ/√n) = (100-110)/(18/√49) = -10/(18/7) = -3.89

z = (x-μ)/(σ/√n) = (115-110)/(18/√49) = 5/(18/7) = 1.94

Using a z-table (http://www.z-table.com) we see that the probability that a score is less than the first z-score is 0. The probability under the curve to the left of, less than, the second z-score is 0.9738. Subtracting these we find the area between them:
0.9738 - 0 = 0.9738.

3 0

3 years ago