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taurus [48]
3 years ago
8

A foam toy is 2 inches wide. It doubles in size for every minute it is in water. Write an expression for the width of the toy af

ter 5 minutes. What is the width after 5 minutes?
The answer is easier to find, but I don't know what the expression would be.
Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

it would be 2(2^5), which is two times two to the fifth power. you take the original size and double it for every minute, which is like squaring it, but to the power of five, because it doubles once every minute for five minutes. i hope this makes sense!:)

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Let theta be an angle in quadrant 2 such that cos theta =-3/4. Find the exact values of csc theta and cot theta.
Anna35 [415]

Step-by-step explanation:

Since cos(\theta) = -\frac{3}{4} we can get some information from this. First of all cos(\theta) is defined as \frac{adjacent}{hypotenuse}. So the adjacent side is 3 and the hypotenuse is 4. Using this we can find the opposite side to find sin(\theta) to calculate csc and cot of theta. So using the Pythagorean Theorem we can solve for the missing side. Also I forget to mention we have to calculate the sign of the adjacent side and the hypotenuse. Since you're given that the angle is in quadrant 2, that means the x-value is going to be negative, and the y-value is going to be negative. And the x really represents the adjacent side and the y represents the opposite. So the adjacent side is what's negative. and the opposite is positive

Pythagorean Theorem:

a^2+b^2=c^2

(-3)^2 + b^2 = 4^2

9 + b^2 = 16

b^2 = 7

b = \sqrt{7}

So now we can calculate sin(\theta).

sin(\theta) = \frac{\sqrt{7}}{4}

Now to calculate the exact value of csc you simply take the inverse. This gives you csc(\theta)=\frac{4}{\sqrt{7}}. Multiplying both sides by sqrt(7) to rational the denominator gives you \frac{4\sqrt7}{7}.

Now to calculate cot(theta) you  find the inverse of tan. Tan is defined as tan(\theta) = \frac{sin(\theta)}{cos(\theta)}. So all you do is take the inverse which is cot(\theta) = \frac{cos(\theta)}{sin(\theta)}.

Plug values in

cot(\theta) = \frac{-\frac{3}{4}}{\frac{4\sqrt{7}}{7}}

Keep, change, flip

-\frac{3}{4} * \frac{7}{4\sqrt7}

Multiply:

-\frac{21}{16\sqrt7}

Multiply both sides by sqrt(7)

-\frac{21\sqrt7}{112}

This is the value of cot(theta)

8 0
2 years ago
A fruit bowl contains apples and bananas in the ratio 4 : 5. Two apples are removed changing the ratio to 2 : 3. Work out the to
tresset_1 [31]

Answer:

25

Step-by-step explanation:

4 : 5. is ratio before two apples were removed.

2 : 3. is ratio after two apples were removed.

combing the two statements will give you the following mathematical statement:

4x-2:5x=2:3 solve for x

3(4x-2)=5x*2

12x - 6=

2x=6

x=3

then 4x + 5x = total ñô fruit

4(3) + 5(3) = total ñô fruit

27= total ñô fruit

remaining fruit=total ñô fruit - 2

remaining fruit=27-2

remaining fruit=25

3 0
3 years ago
Read 2 more answers
Need help with 2, 4, and 5
kondaur [170]

Answer:

2) Supplementary

4) Congruent

5) Supplementary

Step-by-step explanation:


5 0
4 years ago
How do I solve for x?
ivanzaharov [21]

i don't know

Step-by-step explanation:

how, help us HHAHAHAHAHAHAHAHHAHAHAHHAA

7 0
3 years ago
If the perimeter of triangle ABC is 27.6 cm, what is the perimeter, in centimeters, of triangle BCD. Show all work!
julia-pushkina [17]

so basically you have to be gay

3 0
3 years ago
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