Is the following statement a good definition? Why?

An obtuse angle is an angle whose measure is greater than 90°.

Answer:

(c)

Step-by-step explanation:

Put all numbers in the same side

5d^2-3d^2+4d+2d-4-3=0

2d^2+6d-7

Answer:

The point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]

The slope(m) can be calculated using [tex]\frac{y-y_{1} }{x-x_{1}}[/tex]:

[tex](x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3[/tex]

Using Point One, the point-slope form is determined as:

[tex]y-(-3)=3(x-4)\\y+3=3(x-4)[/tex]

The y-intercept(b) can be calculated as:

[tex](5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)[/tex]

Step-by-step explanation:

hope it helps

Answer:

all of the answers are correct

Step-by-step explanation:

Answer:

im bad at math but i think its 120

Answer:

last option

Step-by-step explanation:

3.9x3 -4.1x2+7.3

Answer:

The answer:

The choose (C) –3

Answer:

c

Step-by-step explanation:

vertical angles are congruent, so

5x - 1 = 4x + 4 ( subtract 4x from both sides )

x - 1 = 4 ( add 1 to both sides )

x = 5 → c

The value of x is c. 5

Given that,

Based on the above information, the calculation is as follows:

5x - 1 = 4x + 4

5x -4x = 4 +  1

x = 5

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Answer:

The correction option is B.

Step-by-step explanation:

Answer:

B. One

Step-by-step explanation:

If it is a single payment loan, the title is self explanatory <3

Answer:

y = 245/2

Step-by-step explanation:

y = k x^2

Where k is the constant of variation

Let y= 40 and x=4

40 = k *(4)^2

40 = k*16

40/16 = k

5/2 = k

y =5/2 x^2

Let x=7

y = 5/2 (7)^2

y = 5/2(49)

y = 245/2

Step-by-step explanation:

(3^5 - 3^4) (3^3 + 3^2)

= (243 - 81) (27 + 9)

= (162) (36)

= 5832

24 = 8*3

since 832 is divisible by 8 and 5+8+3+2 = 18 is divisible by 3

5832 is therefore divisible by 24

check:

5832/24 = 243

Answer:

Elimination

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Given

[tex]n=5[/tex] --- disks

[tex]p = \frac{1}{3}[/tex] --- success probability

Required

The question is incomplete, as the required probability is not stated.

However, the question follows binomial distribution and the probability is calculated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

Assume the question requires that we calculate the probability that he's able to drop 2 disks, the probability will be:

[tex]P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (1 - \frac{1}{3})^{5-2}[/tex]

[tex]P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (\frac{2}{3})^{3}[/tex]

[tex]P(x = 2) = 10 * \frac{1}{9}* \frac{8}{27}[/tex]

[tex]P(x = 2) = \frac{80}{243}[/tex]

Apply the formula to the complete question

Answer:

25 divided by 5 equals 5

it cost 5 dollars per package

Hope This Helps!!!

Answer:

d = 25

Step-by-step explanation:

[tex]\frac{d}{5} >4[/tex]

The value of d has to satisfy the inequality

so replace d with one of the given options

[tex]\frac{25}{5} >4[/tex]

We have to simplify the fraction first

[tex]\frac{25}{5} =5>4[/tex]

Answer:

let

diagonal 1=6cm

diagonal 2=10cm

Area of rhombus=½*diagonal 1*diagonal 2=½*6*10

=30cm²

Answer:

Area of rhombus is 30cm².

Step-by-step explanation:

A rhombus having diagonals 6cm and 10cm . Find the area of rhombus.

Solution :-

Let us assume that

Finding the area of rhombus

Using Formula :-

Area of rhombus = ½ × [tex]diagonal_1[/tex]×[tex]diagonal_2[/tex]

Substitute the values of both diagonals.

Area of rhombus = ½ × 6cm × 10cm

Multiply the numbers

Area of rhombus = ½ × 60cm²

Divide we get ,

Area of rhombus = 30 cm

Answer:

[tex]cos \theta = 0.6[/tex]

Step-by-step explanation:

Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

[tex]cos \theta = \frac{adjacent}{hypotenuse} , \ where \ adjacent = 0.6 ,\ hypotenuse \ = r= 1[/tex]

[tex]cos \theta = \frac{0.6}{1}\\\\cos \theta = 0.6\\\\\theta = cos^{-1} \ 0.6\\\\\theta = 53.13^\circ[/tex]

The value of cos θ is,

⇒ cos  θ = 0.6

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

Hence, We can formulate;

⇒ cos θ = 0.6 / 1

⇒ θ = cos ⁻¹ 0.6

⇒ θ = 53.13°

Thus, The value of cos θ is,

⇒ cos  θ = 0.6

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Answer:

DOMAIN

RANGE

Answer:

We know that in the box there are:

4 twix

3 kit-kat

Then the total number of candy in the box is:

4 +3 = 7

a)

Here we want to find the probability that we draw two twix.

All the candy has the same probability of being drawn from the box.

So, the probability of getting a twix in the first drawn, is equal to the quotient between the number of twix and the total number of candy in the box, this is:

p = 4/7

Now for the second draw, we do the same, but because we have already drawn one twix before, now the number of twix in the box is 3, and the total number of candy in the box is 6.

this time the probability is:

q = 3/6 = 1/2

The joint probability is the product of the individual probabilities, so here we have

P = p*q = (4/7)*(1/2) =  2/7

b) same reasoning than in the previous case:

For the first bar, the probability is:

p = 3/7

for the second bar, the probability is:

q = 2/6 = 1/3

The joint probability is:

P = p*q = (3/7)*(1/3) = 1/7

c) Suppose that first we draw a twix.

The probability we already know that is:

p = 4/7

Now we want another type, so we need to draw a kit-kat, the probability will be equal to the quotient between the remaining kit-kat bars (3) and the total number of candy in the box (6)

q = 3/6

The joint probability is:

P = p*q = (4/7)*(3/6) = 2/7

But, we also have the case where we first draw a kit-kat and after a twix, so we have a permutation of two, then the probability in this case is:

Probability = 2*P = 2*2/7 = 4/7

Answer:

1.5 is the correct answer

Step-by-step explanation:

The time it four hours. In those 4 hours the temperature changer by 6 degrees. So 6 divided by 4 is 1.5.

Answer: Choice D is correct. The slope is 1.5

This means that for every hour, the temperature is increasing by 1.5 degrees Fahrenheit.

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

Work Shown:

slope = rise/run

slope = (change in y)/(change in x)

slope = (change in temperature)/(change in time)

slope = 6/4 .... see note below

slope = 3/2

slope = 1.5

note: The 6 refers to the jump from -2 to 4; the denominator 4 represents the amount of elapsed time from 8 AM to 12 PM

Answer:

[tex]{ \tt{p(x) : {y}^{2} = 4ax}} \\ { \tt{f(x) : {(y')}^{2} = 4a {x}'}} \\ { \tt{g(x) : {(y'')}^{2} = 4ax''}} \\ { \bf{since \: they've \: a \: common \: root}} : \\ {y}^{ 2} = {(y')}^{2} = {(y'')}^{2} \\ = > { \tt{4ax + 4ax' + 4ax''}} \\ = 4a(x + x' + x'') \\ common \: root \: is \: 4a \\ { \tt{ \infin {}^{ - } \leqslant 4a \leqslant \infin {}^{ + } }}[/tex]

Answer:

w= -21

Step-by-step explanation:

Answer:

39.30°

Step-by-step explanation:

In ∆ KLM :-

Respuesta:

36

Explicación paso a paso:

Para completar el cuadrado tendremos que sumar la mitad del cuadrado del coeficiente de x a la expresión;

Coeficiente de x = -12

Mitad del coeficiente = (-12/2) = -6

Tomando el cuadrado del resultado = (-6) ^ 2 = 36

Por lo tanto, el número que se debe sumar para obtener un cuadrado perfecto es 36.

Answer:

JHJHJHJHUJ3480945768

658768

Step-by-step explanation:

684867765543545

Ans x = 0.5

Step-by-step explanation:

[tex]= -4x^{3} + 2x^{2} +\frac{2}{3}x^{2} -\frac{1}{3}x-4x+2\\= -4x^{3}+\frac{8}{3}x^{2} -\frac{13}{3}x+2\\[/tex]

If the equation requires to find x, you can use Casio calculator to solve this by some basic formula:

Step 1: Type [tex]-4x^{3}+\frac{8}{3}x^{2} -\frac{13}{3}x+2[/tex]

Step 2: Press Shift SOLVE (CALC)

Step 3: Press "0" for Solve for X

-> You will find the x is 0.5

Answer:

90

Step-by-step explanation:

From the given drawing, we have;

ΔRST is circumscribed about circle A

The center of the circle A = The point A

The line RT = A tangent to the circle A

The radius to the circle A = The line AP

According to circle theory, a line which is tangent to a circle is perpendicular to the radius of the circle drawn from the point of tangency

Where two lines are perpendicular to each other, then the angle formed between them = 90°

The angle formed between a tangent and the radius of the circle = m∠APT

Therefore;

m∠APT = 90°

Answer:5.7 D

Step-by-step explanation:

Answer:

(-12,2)

Step-by-step explanation:

x^2 + 10x = 24

x^2 + 10x + (10/2)^2 = 24 + (10/2)^2

10/2 = 5

5^2 = 25

x^2 + 10x + 25 = 24 + 25

x^2 + 10x + 25 = 49

(x + 5)^2 = 49                 Take the square root of both sides

(x + 5) = sqrt(49)

x + 5 = +/- 7

x = +/- 7 - 5

x = +7 - 5 = 2

x = -7 - 5 = -12

Answer:

{ -12 , 2}

Step-by-step explanation:

x² + 10x = 24

In order to complete the square, the equation must first be in the form x² + bx =c.

Divide 10, the coefficient of the x term, by 2 to get 5. Then add the square of 5 to both sides of the equation. This step makes the left hand side of the equation a perfect square.

expand exponents.

Add 24 and 25

Factor x² + 10x + 25. In general, when x² + bx + c is a perfect square, it can always be factored as ( x + b/2)².

Take the square root of both sides of the equation.

[tex] \small \sf \sqrt{(x + 5) {}^{2} } = \sqrt{49} [/tex]

simplify

Subtract 5 from both sides.

x + 5 - 5 = 7 - 5

x + 5 - 5 = +/- 7 -5