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3 years ago

Help pls giving out brainliest UwU

Mathematics

2 answers:

Alexxx [7]3 years ago

5 0

Danny = 3 Emilly

danny = 3×7

danny = 21 DVD's

Sati [7]3 years ago

5 0

Answer:

21 DVD's

Step-by-step explanation:

danny out here with 21 dvd's

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If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=15/17and cos b=

tensa zangetsu [6.8K]

The value of $cos(a+b)$ for the angles $a$ and $b$ in standard position in the first quadrant is $-\frac{36}{85}$

We need to find the value of $cos(a+b)$ . To proceed, we need to use the compound angle formula

<h3>Cosine of a sum of two angles</h3>

The cosine of the sum of two angles $a$ and $b$ is given below

$cos(a+b)=cos(a)cos(b)-sin(a)sin(b)$

We are given

$sin(a)=\dfrac{15}{17}\\\\cos(b)=\dfrac{3}{5}$

We need to find $sin(b)$ and $cos(a)$ , using the identity

$sin^2(\theta)+cos^2(\theta)=1$

To find $sin(b)$ , note that

$sin^2(b)+cos^2(b)=1\\\\\implies sin(b)=\sqrt{1-cos^2(b)}$

substituting $\frac{3}{5}$ for $cos(b)$ in the identity, we get

$sin(b)=\sqrt{1-cos^2(b)}\\\\=\sqrt{1-\left(\dfrac{3}{5}\right)^2}=\dfrac{4}{5}$

To find $cos(a)$ , note that

$sin^2(a)+cos^2(a)=1\\\\\implies cos(a)=\sqrt{1-sin^2(a)}$

substituting $\frac{15}{17}$ for $sin(a)$ in the identity, we get

$cos(a)=\sqrt{1-sin^2(a)}\\\\=\sqrt{1-\left(\dfrac{15}{17}\right)^2}=\dfrac{8}{17}$

<h3>Find the value of cos(a+b)</h3>

We can now make use of the formula

$cos(a+b)=cos(a)cos(b)-sin(a)sin(b)$

to find $cos(a+b)$ .

$cos(a+b)=cos(a)cos(b)-sin(a)sin(b)\\\\=\dfrac{8}{17}\cdot\dfrac{3}{5}-\dfrac{15}{17}\cdot\dfrac{4}{5}=-\dfrac{36}{85}$

Learn more about sine and cosine of compound angles here brainly.com/question/24305408

8 0

2 years ago

Write the equation of the line that passes through (–2, 1) and is perpendicular to the line 3x – 2y = 5.

amid [387]

-2y=-3x+5
$y=\frac{3}{2}x + \frac{5}2$
$y=\frac{-2}{3}x + b$
$1=\frac{-2}{3}(-2) + b$
$1=\frac{4}{3} + b$
$\frac{1}{3} = b$
$y=\frac{-2}{3}x + \frac{1}{3}$

6 0

4 years ago

What is the sum of 1/6, 2/3, and 1/4

love history [14]

1/6 + 2/3 + 1/4

1) Get the least common denominator
multiple of 6: 6, 12, 18, 24
multiple of 3: 3, 6, 9, 12
multiple of 4: 4, 8, 12

LCD is 12

1/6 * 2/2 = 2/12
2/3 * 4/4 = 8/12
1/4 * 3/3 = 3/12

2) Add the numerators and put the sum above the LCD.
2/12 + 8/12 + 3/12 = 13/12

3) Simplify the fraction.
13/12 is an improper fraction, it can only be simplified resulting to a mixed fraction.

13/12 = 1 1/12

1/6 + 2/3 + 1/4 = 1 1/12

8 0

3 years ago

How do you do this question?

Sveta_85 [38]

Answer:

-$0.16

Step-by-step explanation:

The expected value is the sum of the outcomes multiplied by their probabilities.

E(X) = 1/38 (+68) + 37/38 (-2)

E(X) = -0.16

5 0

4 years ago

After addressing 75 envelopes, a political volunteer has fewer than 26 envelopes left to address. Which inequality can be used t

Svetach [21]

Answer:

B. e - 75 < 26

Step-by-step explanation:

After addressing 75 envelopes, a political volunteer has fewer than 26 envelopes left to address. Which inequality can be used to find the total number of envelopes (e)?

A. 75 - e < 26

B. e - 75 < 26

C. 75 - e > 26

D. e - 75 > 26

Total number of envelopes = e

The political volunteer has addressed 75 envelopes

The political volunteer has fewer than 26 envelopes left to address.

This means he has less than 26 envelopes to address after addressing 75 envelopes out of a total of e envelopes

The inequality that can be used is

e - 75 < 26

The correct answer is

B. e - 75 < 26

8 0

3 years ago