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3 years ago

Which of the following best corresponds to the x-value where the function f(x)=cos x is a minimum in the interval x=|25,30|

1 answer:

3 0

Answer: On the interval [25, 30] the function y = cos x is at it's minimum at x = 9pi or about 28.26.

The graph of y = cos x starts at 1 and moves in the shape of a wave from -1 to 1. It reaches it's first minimum value when x = pi. The period of the wave is 2 pi.

Therefore, it is at its lowest value at the following values, 1pi, 3pi, 5pi, 7pi, 9pi... The value in our given interval is 9pi.

You might be interested in

Find the center and radius of the circle whose equation is x2 + y2 - 6x-2y+4= 0

marin [14]

Answer:

The center of the circle = (3, 1)

The radius of a circle is given as r = √6

Step-by-step explanation:

The equation of a circle is given as:

( x - a)² + (y - b)² = r²

where ( a , b) = center of the circle

r = radius of the the circle

In the question above, we are given the equation of a circle as

x² + y² - 6x - 2y + 4= 0

In order to find the center and radius of this circle we would use completing the square method to solve it

Step 1

Collect the like terms

x² - 6x + y² - 2y + 4= 0

Step 2

Complete the square for both x and y

x² - 6x + (-6/2)² + y² - 2y + (-2/2)² = - 4 +(- 6/2)² + (-2/2)²

x² - 6x + (-3)² + y² - 2y + (-1)² = -4 + (3)² + (1)²

x² - 6x + 9 + y² - 2y + 1 = -4 + 9 + 1

(x² - 6x + 9) + (y² - 2y + 1 )= -4 + 9 + 1

(x² - 3x - 3x +9) + ( y² - y - y +1) = 6

x(x - 3) -3( x - 3) + y( y - 1) - 1( y - 1) = 6

(x - 3) (x -3) +(y - 1) ( y - 1) = 6

(x - 3)²(y - 1)² = 6

Since,

The equation of a circle is given as:

( x - a)² + (y - b)² = r²

where ( a , b) = center of the circle

r = radius of the the circle

The equation of the the circle for the above question is calculated as:

(x - 3)²(y - 1)² = 6

where ( a , b) = center of the circle = (3, 1)

r = radius of the the circle

r² = 6

r = √6

8 0

3 years ago

If 420 = 120%, what would 100% equal?

Ira Lisetskai [31]

Answer:

350

Step-by-step explanation:

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100

120% = 120/100 = 120 ÷ 100 = 1.2

100% = 100/100 = 100 ÷ 100 = 1

Percentage of 120% of what number = 420?

120% × ? = 420

? =

420 ÷ 120% =

420 ÷ (120 ÷ 100) =

(100 × 420) ÷ 120 =

42,000 ÷ 120 =

350

<h2>Proof</h2><h3>How do we check the result?</h3>

If 120% × 350 = 420 =>

Divide 420 by 350...

... And see if we get as a result: 120%

Multiply a number by the fraction 100/100,

... and its value doesn't change.

100/100 = 100 ÷ 100 = 1

n/100 = n%, any number.

<h2>Hope it is helpful....</h2>

8 0

3 years ago

PLLKEEASE HELPPPPPPP ASAPP

erica [24]

Answer:

x = 19

Step-by-step explanation:

(5x + 4)° + (x - 2)° + (3x + 7)° = 180°

(5x + x + 3x)° + (4 - 2 + 7)° = 180°

9x° + 9° = 180° → ÷9

x + 1 = 20

x = 20 - 1

x = 19

7 0

3 years ago

Someone, please help! I'm really confused

11111nata11111 [884]

The correct pair is option E, which is:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

<h3>What is the SAS Congruence Theorem?</h3>

The SAS theorems states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent included angles.

<h3>What is the Reflexive Property?</h3>

The reflexive property of geometry states that an angle or line will always be congruent to itself.

In the two column-proof, since FH = FH using the reflexive property, then both triangles are congruent to each other by the SAS congruence theorem.

The missing pair of reasons that completes the proof are:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

Learn more about the SAS theorem on:

brainly.com/question/2102943

#SPJ1