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2 years ago

A: A behavior that does not depend on experience

Mathematics

2 answers:

Rashid [163]2 years ago

7 0

Answer:

A. Innate

B. Estivation

C. Territory

Step-by-step explanation:

Usimov [2.4K]2 years ago

4 0

Answer:

A: Innate

B: Estivation

C: Territory

Step-by-step explanation:

A is an innate behavior.

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What is 13.8924439894 rounded to the nearest tenth

gogolik [260]

1st decimal place=tenth
2nd=hundreth

to round, you look at the place after it
so 13.8924439894 to tenth
look untill hundreth
13.89
if hundreth>5, round tenth up
if hundreth place<5 leave tenth as is

13.89
9>5
round up
8+1=9
13.9 is to theh tenth

8 0

2 years ago

Read 2 more answers

Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE

AVprozaik [17]

Answer:

Step-by-step explanation:

We are given that:

$\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi$

And we want to find the value of tan(2x).

Note that since x is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

$\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}$

Using double angle identities:

$\displaystyle \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}$

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(x) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

$\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}$

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since x is in QII, cosine and tangent will be negative while sine will be positive. Hence:

<h2> $\displaystyle \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}$ </h2>

Simplify:

$\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}$

Evaluate:

$\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}$

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

$\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}$

So, our answer is D.

7 0

3 years ago

3x-y+2=0 in rectangle form

kotegsom [21]

Complete Question:

Convert 3x-y+2=0 in rectangle form to polar form

Answer:

r ( 3cosθ - sinθ) = -2

Step-by-step explanation:

The equation so given is already in rectangular form, the task is to convert it to polar form.

3x - y + 2 = 0

To transform an equation from the rectangular to the polar coordinate:

x = r cosθ

y = r sinθ

Substitute the representations for x and y into the given equation:

3(r cosθ) - (r sinθ) + 2 = 0

3rcosθ - rsinθ = -2

The polar representation of the equation then becomes:

r ( 3cosθ - sinθ) = -2

8 0

3 years ago

Li made a scale drawing of a room. The scale used was 5cm=1m.The scale drawing is the preimage and the room is the dilated image

AleksandrR [38]

Scale in terms of cm to m= 1/5
In every meter there are 5 cm

Considering this, if the dimensions are 15cm and 20cm, you would need to multiply them by 5 to convert them to meters

15*5= 75 20* 5=100

Dimensions- 75ft by 100ft

5 0

3 years ago

Solve the following inequality. 5x-3 > 7

bekas [8.4K]

Answer:

$x > 2$

Step-by-step explanation:

5x-3>7

+3 to both sides

5x>10

divide 5 to both sides

x>2

8 0

3 years ago