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Answer:

60 degree is the value of m

Answer:

17

Step-by-step explanation:

...................

Step-by-step explanation:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

Answer:

180-108=72.

72/3=24.

24x2=48

Answer: B and C

Step-by-step explanation:

404 + 50 + 50 = 504

you are buying  144 magazines total

504/144 = cost of one magazine

cost of one = 3.50

you are paying $60 a year for 12 years

60 x 12 = 720

720/144 = 5

5 - 3.50 = 1.50

2.

120x + 180x = 1080

300x = 1080

x = 1080/300

x = 3.6

3.6 x 60 = 216

Answer:

  k = -35.5

Step-by-step explanation:

When α and β are zeros of the polynomial 2x² +5x +k, it can be written in factored form as ...

  2x² +5x +k = 2(x -α)(x -β)

When the factored form is expanded, it becomes ...

  = 2x² -2(α+β)x +2αβ

Comparing this to the original, we see that ...

__

Then the given expression can be used to find k:

  α +β = -5/2 . . . . . solved the first relation for α+β

  (α +β)² = (α² +β² +αβ) +αβ = 24 +αβ

  (-5/2)² = 24 +αβ . . . . . . . use -5/2 for α+β

  αβ = 25/4 -24 = -17.75 . . . . . solve for αβ

Then the value of k is ...

  k = 2αβ = 2(-17.75)

  k = -35.5

Answer:

For every pound that the package weight increases, the price of sending it increases by $3.80

Step-by-step explanation:

Overnight from KC to Miami = $23.50 for anything less than a pound + $3.80 per additional pound.

This means that for every pound that the package weight increases, the price of sending it increases by $3.80.

The time when Hank's Movers will cost less is the point when the total charges is both Movers are Equal, the time is at 3 hours

Given Data

For Acme, the expression for the total charges is

Total = 45+40x ----------1

For Hank, the expression for the total charges is

Total = 55x ----------------2

Equating both expressions we have

45+40x = 55x

collect like terms

45 = 55x-40x

45 = 15x

divide both sides by 15

x = 45/15

x = 3 hours

Learn more about algebra here:

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Answer:

  A) year 1 to year 2

Step-by-step explanation:

The increases in speed are found by subtracting the speed from the year before.

  1 to 2: 46 -38 = 8

  2 to 3: 52 -46 = 6

  3 to 4: 57 -52 = 5

  4 to 5: 61 -57 = 4

The greatest increase was from year 1 to year 2.

Answer:

C. 309 cm2

Step-by-step explanation:

A=2(1+sqr2)a^2

A=2(1+sqr2)8^2

≈309.01934

Answer: 309 cm2

Step-by-step explanation:

plato

Answer:

x/4

Step-by-step explanation:

Step-by-step explanation:

1.

so 90 km on 17 liters.

that is a 90/17 ratio (or proportion).

that means it runs 90/17 km on 1 liter.

and therefore (90/17)×20 on 20 liters.

90×20/17 = 105.8823529... km

2.

the ratio is 66/22 based on the RPMs.

66/22 = 3/1 = 3

so, the larger gear has then 3×6 = 18 teeth.

3.

the ratio is 150/75 based on the RPMs.

the circumference of a circle is

2×pi×r

so, it is a linear relationship with the radius r (and therefore the diameter d).

so, the diameter of the larger pulley is 2×10 = 20 in

4.

the ratio here is 18/6.

18/6 = 3/1 = 3.

again, this relates to the circumference, which is a linear relationship with the radius or diameter.

the smaller gear has then 72/3 = 24 teeth.

5.

the ratio is 2/3.

so, the larger pulley has 3450×2/3 RPM.

= 2,300 RPM

6.

2.5 kg cost 110.

that is a 2.5/110 ratio :

and that means we get 2.5/110 kg for one unit of money.

and therefore we get 80 × 2.5/110 kg for 80 units of money.

80 × 2.5/110 = 8 × 2.5/11 = 20/11 = 1.818181818... kg

Answer:

The brightest star in the night sky is Sirius, located 500,000 times further away than the sun. Sirius is also 20 times brighter than the sun, which is why it is so easy to see at night. Our sun is a medium star of average size and brightness.

Answer:

y=45°

x=75°

z=60°

Step-by-step explanation:

hard to explain, but I'll try my best. on a single line, it equals 180 when both angles are added up. and the opposite side of an angle is always the same.

Answer:

what??? I can't understand you sorry

[tex]12x\sqrt{\cfrac{3}{2}}~~ = ~~6\sqrt{3}\implies (6)(2)x\cdot \cfrac{\sqrt{3}}{\sqrt{2}}~~ = ~~6\sqrt{3}\implies \cfrac{(2x)(6\sqrt{3})}{\sqrt{2}}=6\sqrt{3} \\\\\\ \cfrac{2x}{\sqrt{2}}=\cfrac{6\sqrt{3}}{6\sqrt{3}}\implies \cfrac{2x}{\sqrt{2}}=1\implies 2x=\sqrt{2}\implies x=\cfrac{\sqrt{2}}{2}[/tex]

Answer:

[tex]4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) = 3 \\ [/tex]

[tex]LHS = 4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) \\[/tex]

let us first take a look at the values of the trigonometric ratios given in the question so that we get quite clear about what is to be done.

here ,

[tex] \cot(45) = 1 \\ \\ \tan(60) = \sqrt{3} \\ \\ \sec(60) = 2[/tex]

now ,

we just have to plug in the values considering certain other things given in the question and we're done!

so let's start ~

[tex]4(1) {}^{2} - 3( \sqrt{3} ) {}^{2} + 2(2) {}^{2} \\ \\ \dashrightarrow \: 4(1) - 3(3) + 2(4) \\ \\ \dashrightarrow \: 4 - 9 + 8 \\\\ \dashrightarrow \: 12 - 9 \\ \\\dashrightarrow \: 3 = RHS[/tex]

hence , proved ~

hope helpful :D

Answer:

slightly confused on the wording if he got back 3/4 from 16.5 then he earned back 12.375 points

if -16.5 is the 1/4 he didnt get back then he had 66 points

Step-by-step explanation:

Step-by-step explanation:

[tex]x - 6 = - 4 \\ \\ \implies \: x = - 4 + 6 \\ \\ \implies \: x = 2[/tex]

Answer:

2

Step-by-step explanation:

because if you substitute 2-6 you will get negative 4

The distance from the tree house that the ball strike the ground is 10feet

Given the path of the ball expressed by the parabola equation:

y = -2x^2+14x +60

The point where the ball strikes the ground is the point where y = 0. Substitute into the equation to have:
-2x^2+14x +60 = 0

x^2 - 7x - 30 = 0

Factorize the result

x^2 - 10x + 3x - 30 = 0
x(x-10)+3(x-10) = 0
x - 10 =0

x = 10

Hence the distance from the tree house that the ball strike the ground is 10feet

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Answer:

[tex]\large\ The \ average \ of \ two \ numbers\ =\frac{\text{the sum of the two numbers} }{2}[/tex]

Step-by-step explanation:

[tex]\large\ The \ average \ of \ two \ numbers\ =\frac{\text{the sum of the two numbers} }{2}[/tex]

Let x and y be two numbers then the average of x and y is :

[tex]\large \frac{x+y}{2}[/tex]

Example :

The average of 4 and 16 is :

[tex]\frac{4+16}{2} = \frac{20}{2} = 10[/tex]

Answer: A: The data is a random sample from the population of interest

Step-by-step explanation: kahn

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The degree of the polynomial will be 5.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively, can be written as,

[tex](x-0)^2(x+3)^1(x-2)^2\\\\= x^2(x+3)(x^2+4-4x)\\\\=(x^3+3x^2)(x^2+4-4x)\\\\=x^5 +4x^3-4x^4+3x^4+12x^2-12x^3\\\\=x^5 -x^4-8x^3+12x^2\\[/tex]

Hence, the degree of the polynomial will be 5.

Learn more about Polynomial:

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Answer:

The answer is 15

Step-by-step explanation:

f(x) = -4x + 3, f(-3)

f(-3) = -4x + 3

f(-3) = -4(-3) + 3

f(-3) = 12 + 3

f(-3) = 15

Thus, The answer is 15

Answer:

f(-3)=-4(-3)+3

=12+3=15

Step-by-step explanation:replace x with -3

Answer: x=2

Step-by-step explanation:

9(x+7)+5=86

Step 1: Simplify both sides of the equation.

9(x+7)+5=86

(9)(x)+(9)(7)+5     (Distribute)

9x+63+5=86

(9x)+(63+5)=86      (Combine Like Terms)

9x+68=86

Step 2: Subtract 68 from both sides.

9x+68−68=86−68

9x=18

Step 3: Divide both sides by 9.

[tex]\frac{9x}{9} =\frac{18}{9}[/tex]

x=2

Answer:

a=96

b=42

c=138

Step-by-step explanation:

as lines BA and BC are equal, angles BAC and BCA are also equal, so b = 42. Now a can be found by 180 - 42 - 42 as sum of angles in a triangle is 180. The line AC is a straight line, so b + c = 180 , so c = 180 - 42 = 138

Answer:

The answer is 28 Units

It's number 3.

Step-by-step explanation:

Length = 94 cm

breadth = ?

Perimeter = 298 cm

Now..............

Perimeter = 2 ( l + b )

298cm = 2 ( 94 cm + b )

298 / 2 = 94 + b

149 cm = 94 + b

b = 149 - 94 cm

b = 55 cm

Answer:

Step-by-step explanation:

In the question we have given perimeter of rectangular painting that is 298 cm , length of the painting is 94 cm , and we have asked to find the width of the rectangular painting . So perimeter of rectangle is ,

[tex] \purple{ \boxed{Perimeter \: of \: rectangle = 2 ( l + w ) }}[/tex]

Where ,

Now , we are substituting value of length and equating it with given perimeter :

[tex] \longrightarrow \: 2(94 + w) = 298[/tex]

Now, our last step is of calculations . So from here we are calculating ,

[tex] \longrightarrow \: 94 + w = \frac{298}{2} [/tex]

[tex] \longrightarrow \: 94 + w= 149[/tex]

[tex] \longrightarrow \: w = 149 - 94[/tex]

[tex] \longrightarrow \: \blue{\boxed{ \bold{w = 55 \:cm}}}[/tex]