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Reil [10]
2 years ago
9

he length of a rectangle is increasing at a rate of 7cm/s7cm/s and its width is increasing at a rate of 2cm/s2cm/s. When the len

gth is 30cm30cm and the width is 20cm,20cm, how fast is the area of the rectangle increasing
Mathematics
1 answer:
kvv77 [185]2 years ago
3 0

Answer:

20

Step-by-step explanation:

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A ramp is used to load suitcases on an airplane. If the cargo door is 7 feet from the ground and the angle formed by the end of
melisa1 [442]

Answer: 16.56\ ft

Step-by-step explanation:

You must draw a right triangle as the one attached, where "x" is the lenght  in feet of the ramp.

You need to use the following Trigonometric Identity:

sin\alpha=\frac{opposite}{hypotenuse}

In this case you can identify that:

\alpha =25\°\\\\opposite=7\\\\hypotenuse=x

Now you must substitute these values into sin\alpha=\frac{opposite}{hypotenuse}:

sin(25\°)=\frac{7}{x}

Finally, you must solve for "x" in order to find its value.

This is:

sin(25\°)=\frac{7}{x}\\\\xsin(25\°)=7\\\\x=\frac{7}{sin(25\°)}\\\\x=16.56

6 0
3 years ago
Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil. What would one pencil and one
vladimir2022 [97]

It is given in the question that

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil.

Let the cost of pencil is $ x .

Therefore cost of pen is

$(x+0.40)

According to the question

12(x+0.40)+20x =16

Distributing 12 and combining like terms, we will get

12x+4.8+20x=16\\32x = 11.2\\x = 0.35

Therefore cost of pencil is $0.35 and cost of pen is

0.35+0.40=0.75

3 0
3 years ago
What number is a factor of 12,but not a multiple of 3
choli [55]
There are 3 numbers as such.
First lets list all the factors of 12
1,2,3,4,6,12
now lets see which are multiples of 3
3,6 and 12 are multiples of 3
therefore we are left with
1,2 and 4
6 0
4 years ago
Read 2 more answers
Solve for a....please!!!!!!
Readme [11.4K]

Multiply both sides by d.

dm=a+64d

Flip the equation.

a+64d=dm

Add -64d to both sides.

a=dm−64d

Answer:

<u>a=dm−64d</u>

6 0
3 years ago
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What is the inverse of the function
puteri [66]
The inverse of it is the inverse of that & thing u know
8 0
3 years ago
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