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Svetach [21]
3 years ago
6

Bamboo is one of the fastest-growing plants. A typical growth rate for bamboo in temperate climates is 3-10 centimeters per day

during the growth season. Which of the following equations, where t represents time in days, and L represents length in centimeters, could be descriptions of the growth of a bamboo plant? Select all that apply.  A.L=1.1t  B.L=2.5t  C.L=3.6t  D.L=7.1t  E.L=9.3t  F.L=10.4t
Mathematics
2 answers:
Maurinko [17]3 years ago
5 0
Since its 3 through 10 centimeters per day the answers would be

C.L=3.6t
D.L=7.1t
E.L=9.3t

(I am really not sure of this)
zepelin [54]3 years ago
3 0

Answers

L=7.1t

L=9.3t

Step-by-step explanation:


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(05.01 MC) In triangle JKL, tan(b°) = three fourths and cos(b°) =four fifths. If triangle JKL is dilated by a scale factor of on
REY [17]

Answer:

sin(b^\circ) = \dfrac{3}{5}

Step-by-step explanation:

We are given a \triangle JKL where \angle K = 90^\circ

tan(b^\circ) = \dfrac{3}{4}\\cos(b^\circ) = \dfrac{4}{5}

As per trigonometric rules,

tan(\theta) = \dfrac{Perpendicular}{Base}

cos(\theta) = \dfrac{Base}{Hypotenuse}

Comparing the given value of tangent and cosine:

Perpendicular = 3 units

Base = 4 units

Hypotenuse = 5 units

Also, we know that:

sin(\theta) = \dfrac{Perpendicular}{Hypotenuse}

\Rightarrow sin(b^\circ) = \dfrac{3}{5}

Now, it is given that the triangle is dilated by a scale factor of \frac{1}{2}.

i.e. all the sides will become half of its initial values.

New Perpendicular = 1.5 units

New Base = 2 units

New Hypotenuse = 2.5 units

Using the formula for sine:

sin(\theta) = \dfrac{Perpendicular}{Hypotenuse}

\Rightarrow  sin(b^\circ)= \dfrac{1.5}{2.5}\\\Rightarrow  sin(b^\circ)= \dfrac{15}{25}\\\Rightarrow   sin(b^\circ)=\dfrac{3}{5}

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4 years ago
HEELLP PLS-123 Write as a decimal number. 500​
Brrunno [24]

Answer:

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8 0
3 years ago
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How to use trig to find missing side or angle of right triangles.
andrew11 [14]
Explanation

Right triangles are triangles with one right angle i.e. one angle with a measure of 90° so when we deal with this type of figures we know at least one of its internal angles. The opposite side to the right angle is known as the hypotenuse whereas the other two sides are called legs.

Trigonometric functions in right triangles give us the following identities:

\begin{gathered} \tan x=\frac{\text{opposite side}}{\text{adjacent side}} \\ \cos x=\frac{\text{adjacent side}}{\text{hypotenuse}} \\ \sin x=\frac{\text{opposite side}}{\text{hypotenuse}} \end{gathered}

We also have the Pythagorean theorem that states that the square of the hypotenuse is the sum of the squares of the legs.

Let's imagine that we have a right triangle like the following:

If we want to find the missing angles A and/or B we need to know at least two sides of the triangle.

For example, if we want to find B and we have b and a we can use the tangent of B and its inverse the arctangent (tan^(-1)):

\tan B=\frac{b}{a}\rightarrow B=\tan^{-1}(\frac{b}{a})

If we know a and c we can find B using its cosine:

\cos B=\frac{a}{c}\rightarrow B=\cos^{-1}(\frac{a}{c})

If we know b and c then we can use the sine:

\sin B=\frac{b}{c}\rightarrow B=\sin^{-1}(\frac{b}{c})

We can also do the same for angle A, we just need to use its corresponding opposite side and adjacent side. And that's how you find a missing angle using trigonometry in a right triangle.

If we are looking for a missing side we can also use trigonometry. In order to find a missing side we need two other sides or another side and an angle. For example, let's assume that we want to find side a.

If we have b and c then we just need to use the Pythagorean theorem:

c^2=a^2+b^2\rightarrow a=\sqrt{c^2-b^2}

If we have b and A then we can use the tangent of A to built an equation for a:

\tan A=\frac{a}{b}\rightarrow a=b\cdot\tan A

If we have b and B we can use the tangent of B:

\tan B=\frac{b}{a}\rightarrow a=\frac{b}{\tan B}

If we have A and c we can use the sine of A:

\sin A=\frac{a}{c}\rightarrow a=c\cdot\sin A

If we have B and c we can use the cosine of B:

\cos B=\frac{a}{c}\rightarrow a=c\cdot\cos B

And that's how you find a missing side using trigonometry.

8 0
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Walter needs new grass in the circular pen for his chickens. The pen has 308 feet of fencing. What is the area of the pen?
ICE Princess25 [194]

Answer: 7546feet²

Step-by-step explanation:

Since the pen has 308 feet of fencing, this is the perimeter of the circular pen and we can get the raduus which goes thus:

Circumference of a circle = 2πr

2πr = 308

2 × 22/7 × r = 308

44/7 × r = 308

r = 308 × 7/44

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Therefore, area of the circular pen will be:

= πr²

= 22/7 × 49 × 49

= 7546feet²

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3 years ago
Eli buys 8 gigabytes of memory for his computer he spends 392. whatbis the cost of 1 gigabyte memory
kotykmax [81]
If Eli spends $392 for 8 gigabytes of memory, then 8g=392, where g is a gigabyte of memory. All you have to do is to reduce the equation. In this case, divide both sides by 8 to get g=49. So the cost of 1 gigabyte of memory is $49.
6 0
3 years ago
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