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2 years ago

Find the acute angle between the diagonal of rectangle whose sides are 5cm and 7cm

Mathematics

1 answer:

Temka [501]2 years ago

3 0

Answer:

The arc tangent of angle a = (5/7)

angle a = 35.538 Degrees

Of course, we might be solving for angle b so,

angle b = 90 -35.538 Degrees = 54.462 Degrees

Step-by-step explanation:

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A certain company's main source of income is a mobile app. The company's annual profit (in millions of dollars) as a function of

liberstina [14]

Answer:

x = $3, or x = $11

Step-by-step explanation:

The equation given is $P(x)=-2(x-3)(x-11)$

where

P(x) is the profit, and
x is the app price

<u>We want app prices (x's) when profit (P(x)) is 0, so plugging in into the equation:</u>

$P(x)=-2(x-3)(x-11)\\0=-2(x-3)(x-11)\\0=(x-3)(x-11)$

<em>It means (x-3) = 0 OR (x-11) = 0</em>

So, x = 3, or 11

7 0

2 years ago

Read 2 more answers

The average sea level in 1900 at London bridge was 33 feet. In 1990 it was 33.08 feet. Use linear interpolation or extrapolation

eduard

Answer:

In 1956, the height will be 33.05 ft

Step-by-step explanation:

Let +x+ = number of years after 1900

Calll 1900 +x+=+0+

Then 1990 is +x+=+90+

Let +y+ = height in feet

--------------------------

You are gven the points

( 0, 33 )

( 90, 33.08 )

Use general point-slope formula

+%28+y+-+33+%29+%2F+%28+x+-+0+%29+=+%28+33.08+-+33+%29+%2F+%28+90+-+0+%29+

Multiply both sides by +90x+

+90%2A%28+y+-+33+%29+=+.08x+

+90y+-+2970+=+.08x+

+90y+=+.08x+%2B+2970+

+y+=+.000889x+%2B+33+ ( equation to use )

--------------------------

Check:

does it go through ( 90, 33.08 ) ?

+33.08+=+.000889%2A90+%2B+33+

+33.08+=+.08001+%2B+33+

+33.08+=+33.08001+

close enough

-------------------------------

(a)

+x+=+61%0D%0A%7B%7B%7B+y+=+.000889x+%2B+33+

+y+=+.000889%2A61+%2B+33+

+y+=+.0542+%2B+33+

+y+=+33.0542+

In 1961, the height will be 33.05 ft

8 0

2 years ago

As part of a community service project at your high school, you are organizing a fund-raiser at the neighborhood movie theater.

kirill115 [55]

So the questions ask to write an equations that shows how much money will be donated and then solve. So let Y be the amount of money and X will be the number of people attending. So the equation would be y=(10-5.5)X so the answer would be Y=2250. I hope you are satisfied with my answer and feel free to ask for more

8 0

2 years ago

Read 2 more answers

Evaluate the expression. P(9, 3) · P(5, 4)

boyakko [2]

Answer:

$P(9,3) *P(5,4)$

And if we use the permutation formula given by:

$nPx = \frac{n!}{(n-x)!}$

And replacing we got:

$\frac{9!}{6!} \frac{5!}{4!}= 504*5 = 2520$

Step-by-step explanation:

For this problem we want to find the following expressionÑ

$P(9,3) *P(5,4)$

And if we use the permutation formula given by:

$nPx = \frac{n!}{(n-x)!}$

And replacing we got:

$\frac{9!}{6!} \frac{5!}{4!}= 504*5 = 2520$

6 0

2 years ago

The size of a television screen is given as 95 cm, correct to the nearest 5 cm.

alexdok [17]

Answer:

The upper bound is 97.5 cm

Step-by-step explanation:

The upper bound is given as the value that is larger than or equal to all values in a data set, for example, in the data set, {3, 6, 16, 23, 25}, an upper bound is 25, however, where the accuracy of the data is given, the upper bound can be found by the following relation

Where the number is given to the nearest 100, add and subtract half of hundred to obtain the upper bound and lower bound respectively

For the question, given that the size of the television is given as 95 cm, correct to the nearest 5 cm, we add add half of 5 cm to get the upper bound as follows;

Upper bound = 95 cm + 5/2 cm = 97.5 cm

The upper bound = 97.5 cm.

5 0

2 years ago