Find the measure of arc DF

Answer:

150 mins

Step-by-step explanation:

Answer:

150 minutes

Step-by-step explanation:

Answer:

a=90

b=45

c=45

d=90

e=45

f=45

Answer:

The answer that is C

Step-by-step explanation:

The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.

Answer:

[tex]y = \tan(x + \frac{x^2}{2})[/tex]

Step-by-step explanation:

Poorly formatted question; The complete question requires that we prove that [tex]y=\tan(x+\frac{x\²}{2})[/tex]

When

[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex] and [tex]y(0)=0[/tex]  

We have:

[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex]

Rewrite as:

[tex]\frac{dy}{dx} =1+x+xy\²+y\²[/tex]

Factorize

[tex]\frac{dy}{dx} = (1+x)+y\²(x+1)[/tex]

Rewrite as:

[tex]\frac{dy}{dx} = (1+x)+y\²(1+x)[/tex]

Factor out 1 + x

[tex]\frac{dy}{dx} = (1+y\²)(1+x)[/tex]

Multiply both sides by [tex]\frac{dx}{1 + y^2}[/tex]

[tex]\frac{dy}{1+y\²} = (1+x)dx[/tex]

Integrate both sides

[tex]\int \frac{dy}{1+y\²} = \int (1+x)dx[/tex]

Rewrite as:

[tex]\int \frac{1}{1+y\²} dy = \int (1+x)dx[/tex]

Integrate the left-hand side

[tex]\int \frac{1}{1+y\²} dy = \tan^{-1}y[/tex]

Integrate the right-hand side

[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex]

[tex]y(0)=0[/tex] implies that: [tex](x,y) = (0,0)[/tex]

So:

[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes

[tex]\tan^{-1}(0) = 0 + \frac{0^2}{2} + c[/tex]

This gives:

[tex]0 = 0 +0 + c[/tex]

[tex]0 =c[/tex]

[tex]c = 0[/tex]

The equation [tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes

[tex]\tan^{-1}y = x + \frac{x^2}{2} + 0[/tex]

[tex]\tan^{-1}y = x + \frac{x^2}{2}[/tex]

Take tan of both sides

[tex]y = \tan(x + \frac{x^2}{2})[/tex] --- Proved

Answer:

2915

Step-by-step explanation:

Answer:

ANSWER IS 4 BY 2 IS 342

Step-by-step explanation:

Answer:

- x - 2y

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] (2x + 4y) ← multiply each term in the parenthesis by - [tex]\frac{1}{2}[/tex]

= - [tex]\frac{1}{2}[/tex] (2x) - [tex]\frac{1}{2}[/tex] (4y)

= - x - 2y

Answer:

Solution given;

angle =270°

radius [r]=8cm

we have

length of arc =270°/360°×2×π*r

=270°/360°×2×3.14*8=37.68cm

length of the arc is 37.68cm.

Answer:

408.4

Step-by-step explanation:

Answer:

[tex](a)\ 257 * [-1] =-257[/tex]

[tex](b)\ (-30) * [9] =-270[/tex]

(c) The additive inverse of -21 is 21

[tex](d)\ 918 *[0]=0[/tex]

[tex](e)\ (-56) * [(-9)+(-1)] = 560[/tex]

Step-by-step explanation:

Required

Fill in the blanks

Represent all blanks with x

[tex](a)\ 257 * x =-257[/tex]

Divide both sides by 257

[tex]x =\frac{-257}{257}[/tex]

[tex]x = -1[/tex]

So:

[tex](a)\ 257 * [-1] =-257[/tex]

[tex](b)\ (-30) * x =-270[/tex]

Divide both sides by -30

[tex]x =\frac{-270}{-30}[/tex]

[tex]x = 9[/tex]

So:

[tex](b)\ (-30) * [9] =-270[/tex]

(c)The complete question here is to determine the additive inverse of (-21)

The [tex]additive[/tex] [tex]inverse[/tex] of a [tex]number[/tex] x is -x

So:

[tex](-21) \to -(-21)[/tex]

[tex](-21) \to 21[/tex]

[tex](d)\ 918 *x=0[/tex]

Divide both sides by 918

[tex]x=\frac{0}{918}[/tex]

[tex]x = 0[/tex]

So:

[tex](d)\ 918 *[0]=0[/tex]

[tex](e)\ (-56) * [(-9)+(-1)] = x[/tex]

Solve the inner brackets

[tex](-56) * [-9-1] = x[/tex]

[tex](-56) * [-10] = x[/tex]

Multiply

[tex]560 = x[/tex]

So:

[tex](e)\ (-56) * [(-9)+(-1)] = 560[/tex]

Answer:

C

Step-by-step explanation:

A)  [tex]-\sqrt{5}[/tex]

D)  [tex]\pi[/tex]

===========================================

Explanation:

Choices B and C are rational because we can simplify them to form a fraction of integers.

[tex]-\sqrt{49} = -7 = -\frac{7}{1}[/tex]

[tex]\sqrt{0} = 0 = \frac{0}{1}[/tex]

Any rational number is of the form P/Q where P,Q are integers and Q is nonzero.

So we can rule out choices B and C.

---------------

Choice A on the other hand cannot be written as a fraction of integers. The 5 isn't a perfect square, which makes [tex]-\sqrt{5}[/tex] irrational.

The same can be said about [tex]\pi[/tex] which is roughly equal to 3.14; the decimal digits go on forever without a known pattern.

Choice A and choice D are the two answers.

----------------

If we know the pattern of the decimal digits, then we can turn the decimal number into a fraction of integers

The number -0.777, where the 7s go on forever, converts to the fraction -7/9

That means we rule out choice E.

Answer:

need this  anyone got it?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

2+2=4 and 4*4=16 16+2 = 18 so WOOSH your answer is now a legal adult

Step-by-step explanation:

d nuts

what do you mean? theres no math. we cant answer this.

x+x is equal to 0

Answer:

2x

Step-by-step explanation:

x + x = 2x

Answer:

B is the answer.

Step-by-step explanation:

Given equations y + x = 5 and 5x + 5y = 25.

These equations have infinetely many solutions because they are equivalent.

This can be proven by the multiplicative property of equality and the commutative property of addition.

y + x = 5 → y × 5 + x × 5 = 5 × 5 [multiplicative property of equality] → 5y + 5x = 25 → [commutative property of addition] 5x + 5y = 25.

Answer:

5,2

Step-by-step explanation:

the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2

Answer:

The room is 19,5m long and 13m wide.

Step-by-step explanation:

1cm -> 6,5m

3cm -> 19,5m

2cm -> 13m

Answer:

∠ 1 = 94°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

130° is an exterior angle of the triangle, then

∠ 1 + 36° = 130° ( subtract 36° from both sides )

∠ 1 = 94°

Answer:

B. capacity.

Step-by-step explanation:

In this scenario, Mahak is measuring the maximum space inside a watering can. Thus, this is a measure of capacity because it gives the exact information as to the quantity of water the watering can hold at any given time.

Basically, the capacity of a container is a measure of the volume of fluid or any other substance that it is able to hold, which is typically measured in litres or cubic centimeters.

For example, if the shape of the watering can is cylindrical; its capacity (volume) would be measured using a mathematical expression.

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

Answer:

y = (-2) 2^(x+1)

Step-by-step explanation:

Whenever x increases from by 1, y decreases by doubling (the negative value), so the exponent is -2

When x = -1, y = -2.

So the exponential equation (NOT linear) is

y(x)   =  -2*2^(x+1)

Check:

y(-1) = -2*2^(-1+1) = -2*1 = -2

y(0) = -2*2^(1) = -2*2 = -4

...

y(2) = -2*2^(2+1) = -2*8 = -16

all good.

Step-by-step explanation:

We have a diameter and vertical angles so

231.

180+51=231

Answer:

231

Step-by-step explanation:

The measure of arc WX is 51

XZ is a straight angle so its arc measures 180 degrees

The measure of arc WYZ

WYZ= WX + XZ

        = 51 + 180

            231

Answer:

Whole numbers or integers from 0 to 10

Step-by-step explanation:

Either 0 tickets can be sold, or 1, or 2, or 3, or 4, etc. up to a maximum of 10;

It is not possible to sell -1 tickets or ¹/₂ a ticket and we are told they don't sell more than 10 so 11 is not a possibility either;

Logically then, the only possibilities are whole numbers between 0 and 10

Answer: 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]3x^2 -8x +5 = 5x^2\\\\5x^2 - 3x^2 + 8x -5 =0\\\\2x^2 +8x -5 = 0\\\\[/tex]

a = 2, b = 8, c = -5

[tex]x = \frac{-b \pm \sqrt{b^2 -4ac} }{2a}\\\\x = \frac{-8 \pm \sqrt{8^2 - ( 4 \times 2 \times (-5))} }{2 \times 2}\\\\x = \frac{-8 \pm \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{64 +40} }{4} \ , \ x = \frac{-8 - \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{104} }{4} \ , \ x = \frac{-8 - \sqrt{104} }{4}\\\\x = \frac{-8 + \sqrt{4 \times 26} }{4} \ , \ x = \frac{-8 - \sqrt{4 \times 26} }{4}\\\\x = \frac{-8 +2 \sqrt{26} }{4} \ , \ x = \frac{-8 - 2\sqrt{26} }{4}\\\\[/tex]

[tex]x = \frac{-4 + \sqrt{26} }{2} \ , \ x = \frac{-4 - \sqrt{26} }{2}[/tex]

Step-by-step explanation:

[tex]\cos^{4} x - \sin^{4} x[/tex]

[tex]= ( \cos^{2} x + \sin^{2} x)( \cos^{2} x - \sin^{2} x)[/tex]

[tex] = (1 - \sin^{2} x + \sin^{2} x)( 1 - \sin^{2} x - \sin^{2} x)[/tex]

[tex] = 1 - 2\sin^{2} x[/tex]

Note: I replaced all cos^2x terms using the identity

[tex]\cos^{2} x = 1 - \sin^{2} x[/tex]

Answer:

[tex] \dfrac{2x}{x + 7} [/tex]

Step-by-step explanation:

[tex] \dfrac{4x^2 - 16x}{2x^2 + 6x - 56} = [/tex]

Factor the numerator and denominator.

[tex]= \dfrac{4x(x - 4)}{2(x^2 + 3x - 28)}[/tex]

[tex]= \dfrac{4x(x - 4)}{2(x + 7)(x - 4)}[/tex]

[tex] = \dfrac{2x}{x + 7} [/tex]