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2 years ago

100 POINTS AND BRAINLIST

Mathematics

2 answers:

disa [49]2 years ago

8 0

Answer:

Step-by-step explanation:

Again, by definition, for a right-angled triangle:

sinx = opposite side / hypothesis

= a / c

cosx = adjacent side / hypothesis

= b / c

tanx = opposite side / adjacent side

= a / b

docker41 [41]2 years ago

8 0

Answer:

Explained and Given Below.

Trigonometry rules:

$\sf sin(x)= \dfrac{opposite}{hypotensue}$

$\sf cos(x)= \dfrac{adjacent}{hypotensue}$

$\sf tan(x)= \dfrac{opposite}{adjacent}$

using the formula's:

$\sf sin(x) = \dfrac{a}{c}$

$\sf cos(x) = \dfrac{b}{c}$

$\sf tan(x) = \dfrac{a}{b}$

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Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,

torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

$y=6x^2+14x$

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

$\frac{dy}{dx}=12x+14$

We know that length of curve

$s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx$

We have a=-2 and b=1

Using the formula

Length of curve= $s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx$

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

$dt=12dx$

$dx=\frac{1}{12}dt$

Length of curve= $s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt$

We know that

$\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C$

By using the formula

Length of curve= $s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})$

Length of curve= $s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})$

Length of curve= $s=32.66$

5 0

3 years ago

What is 3/1,000 as a decimal

Katen [24]

Answer: 3/1000 as a decimal is 0.003.

Explanation;

3/10 = 0.3

0.3/10 = 0.03

0.03/10 = 0.003

3 0

2 years ago

Read 2 more answers

Write a number of grams between 10 and 20, and then write an equivalent amount in milligrams.

oksano4ka [1.4K]

Answer:

15 grams and 15000 milligrams

Step-by-step explanation:

3 0

3 years ago

What is the volume of a box that will hold exactly 567of these cubes with 1.3 inch side

Bas_tet [7]

Answer:

21 inch cube

Step-by-step explanation:

(1/3)(1/3)(1/3)=1/27 is the volume of the cube

the volume of the box : 567*(1/27)=567/27=21

5 0

3 years ago

Which is the correct statement ?

goldenfox [79]

Answer:

A is correct < C and < C" are congruent after both the translation and the dilation.

Step-by-step explanation:

The shape of the triangle remains the same after the translation and the dilation. After the dilation the new triangle is bigger by a factor 2 but the shape ( and therefore the angles are equal. The 2 triangles are similar,

4 0

3 years ago