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natali 33 [55]
3 years ago
5

A scientist wanted to measure the constant rate of the current in a particular section of the river. She released a tracker into

the river. The tracker sent her back the following information:
After 3.5 seconds since the tracker was released into the river the tracker had traveled 5.5 meters.
After 10.9 seconds since the tracker was released into the river the tracker had traveled 16.5 meters.
What is the constant rate of the current?
Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0

Answer:

1.486m/s

Step-by-step explanation:

The rate of change is defined as the change in distance divided by the change in time

Rate = ∆distance/∆time

Distance = 16.5 and 5.5

Time = 10.9 and 3.5

When we put this into the formula above, we have:

Rate of change = 16.5 - 5.5 / 10.9 - 3.5

= 11/7.4

= 1.486m/s

The constant rate of change has been calculated to be equal to 1.486m/s

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Ksenya-84 [330]

Answer:

Here, Diameter of the whole tube = 10 m

Diameter of the inner tube= 10mm - 2 mm= 8mm

Now,

Area of the shaded region =1/4 ×πd^2

=1/4×3.14×8^2

=50.24 mm^2

7 0
2 years ago
What is cos theta when sin theta = sqrt 2/3
Fittoniya [83]

<u>Answer:</u>

Value of cosθ is ±√7/3 .

<u>Step-by-step explanation:</u>

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} }

<u>Using</u><u> </u><u>,</u><u> </u><u>this</u><u> </u><u>ident</u><u>ity</u><u> </u><u>we</u><u> </u><u>have</u><u> </u><u>;</u><u> </u>

\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
6. A sporting goods store receives an order of 100 baseball caps, of which 22 are green. If 1 of
Taya2010 [7]

Answer:

\text{A. }39/50

Step-by-step explanation:

The probability that a randomly selected cap will not be green is equal to the number of non-green caps divided by the total number of caps.

Since there are 100 caps total and 22 are green, there must be 100-22=78 non-green caps.

Divide this by the total number of caps (100) to get the probability that a randomly selected cap will not be green:

\frac{78}{100}

Simplify by dividing both the numerator and denominator by 2:

\frac{78}{100}=\boxed{39/50}

6 0
3 years ago
Find the volume of a square pyramid whose base has a perimeter of 25 inches and a height of 9 inches. Round all answers to the n
lana66690 [7]

Answer:

B i would say

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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