a bag of potatoes weighs 60 kg. how many kg are there in 13 of them

Answer:

55°

Step-by-step explanation:

Since two of the sides are the same length, that means ∠A and ∠B are the same.

All angles of a triangle add up to 180°

180 - 70 = 110

To find ∠A, we just divide 110 by 2

110 ÷ 2 = 55

Both ∠A and ∠B are 55°

Answer:

 NO = 10

Step-by-step explanation:

The segment addition theorem tells you ...

 MN + NO = MO

Substituting the given expressions for these lengths, we have ...

 x + 5x = 3x+6

 3x = 6 . . . . . . . . . subtract 3x

 x = 2 . . . . . . . . . . divide by 3

We can use this value to find the length NO:

 NO = 5x = 5(2) . . . . substitute for x

 NO = 10

Answer:

the sum of interior angles of a 14 sided shape be 2160

Answer:  D)  2160

Work Shown:

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

S = 180(14-2)

S = 180*12

S = 2160

you can use both either (4tanA+3) or, (4tanA-3)

hope this helped you ☺️

any confusion comment it and let me know.

Step-by-step explanation:

f(0)=-2(0)-9=0-9=-9

f(1/2)=-(1/2)-9=-1/2 -9=-19/2

f(-2)=-2(-2)-9=4-9=-5

Answer:

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Question One. Identify the value of f(0)

f(x) = -2x - 9

f(0) = -2(0) - 9

f(0) = 0 - 9

f(0) = -9

Question Two. Identify the value of f(1/2)

f(x) = -2x - 9

f(1/2) = -2(1/2) - 9

f(1/2) = -1 - 9

f(1/2) = -10

Question Three. Identify the value of f(-2)

f(x) = -2x - 9

f(-2) = -2(-2) - 9

f(-2) = 4 - 9

f(-2) = -5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

Earnings per week = $ 400

Earning for 'w' week = 400*w + holiday bonus

                                   = 400w + 250

Earnings at 4 weeks = 400*4 + 250

                                   = 1600 + 250

                                   = $ 1850

Earnings at 12 weeks = 400*12 + 250

                                   = 4800 + 250

                                   = $ 5050

Earnings at 36 weeks = 400*36 + 250

                                   = 14400 + 250

                                   = $ 14650

Answer:

63

Step-by-step explanation:

i gotchu keep these coming

[tex]3cx - b = adx + 5f \\ 3cx - adx = 5f + b \\ x(3c- ad) = 5f + b \\ \\ x = \frac{5f + b }{3c- ad} [/tex]

I hope I helped you^_^

First find Divisor

[tex]\\ \sf\longmapsto x^2-(-3-2)+(-3)(-2)[/tex]

[tex]\\ \sf\longmapsto x^2+5x+6[/tex]

Dividend given by

[tex]\\ \sf\longmapsto x^4-x^3-16x^2+4x+48[/tex]

We know

[tex]\boxed{\sf Dividend=Divisor\times Quotient +Remainder}[/tex]

[tex]\\ \sf\longmapsto Dividend=Divisor\times Quotient[/tex]

[tex]\\ \sf\longmapsto Quotient=\dfrac{Dividend}{Divisor}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x^4-x^3-16x^2+4x+48}{x^2+5x+6}[/tex]

[tex]\\ \sf\longmapsto x^2-6x+8[/tex]

Now factor

[tex]\\ \sf\longmapsto x^2-6x+8=0[/tex]

[tex]\\ \sf\longmapsto x^2-4x-2x+8=0[/tex]

[tex]\\ \sf\longmapsto x(x-4)-2(x-4)=0[/tex]

[tex]\\ \sf\longmapsto (x-4)(x-2)=0[/tex]

[tex]\\ \sf\longmapsto x-4=0\:or\:x-2=0[/tex]

[tex]\\ \sf\longmapsto x=4\:or\:x=2[/tex]

Hence all zeros are

Answer:

(1, - 1 )

Step-by-step explanation:

A translation of 2 down means subtract 2 from the y- coordinate

(- 1, 3 ) → (- 1, 3 - 2 ) → (- 1, 1 )

Under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , then

(- 1, 1 ) → (1, - 1 )

Overall

(- 1, 3 ) → (- 1, 1 ) → (1, - 1 )

The image of (-1, 3) was obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The given point with coordinates of (-1,3), when translated downwards will have the coordinated equal,

(-1,3) ⇒ (-1, 3-2) ⇒ (-1, 1)

Now, since the translation is about 180° in the counter-clockwise direction, the coordinates of the new point will be equal to,

(-1,1) ⇒ (1, -1)

Hence, the image of (-1, 3) obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).

Learn more about Coordinates:

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Answer:

D.

Step-by-step explanation:

the starting number is 370 and it gets multiplied by 1.11 every year so you would root the equation by t

The equation fourth represents the population of 370 animals that increases at an annual rate of 11% option fourth is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1

We have:

A population of 370 animals that increases at an annual rate of 11%

Initial value a = 370

rate r = 11% = 0.11

The equation:

[tex]\rm p = a(1 + r)^t[/tex]

[tex]\rm p = 370(1 + 0.11)^t[/tex]

Thus, the equation fourth represents the population of 370 animals that increases at an annual rate of 11% option fourth is correct.

Learn more about the exponential function here:

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Answer:

(-1,4)

Step-by-step explanation:

from,

midpoint (x,y) =(x1+x2)/2, (y1+y2)/2

=(-5+7)/2, (5+3)/2

=(-1,4)

the midpoint is (-1,4)

Answer:

$5.35

Step-by-step explanation:

20-14.65=5.35

Answer:

The common multiples of 2 and 3 are 6,12,18,24

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27...

Common multiples of 2 and 3 include 6, 12, 18, and 24.

Answer:

2

Step-by-step explanation:

f(x) = 1 / x

f(1/2) = 1 / (1/2)

Reciprocal of 1/2 is 2, since you flip numerator and denominator:

f(1/2) = 2

Answer:

not 100% up to speed on that notation, but if it means to

rotate over the x-axis then: (3,-4) would be the answer

Step-by-step explanation:

45×(-5) + 28×2

-225 + 56

Ans -169

Answer:

I don't understand please can you explain to me

Answer:

[tex] \sqrt{2.2.3.3.5} [/tex]

[tex]\sqrt{2.2.3.3.5}[/tex] is equivalent to [tex]\sqrt{180}[/tex]. Correct option is 1. First, we look for perfect square factors within 180. We can factor 180 as follows: [tex]\(180 = 2^2 \times 3^2 \times 5\)[/tex]

Next, we can group the perfect square factors together:

[tex]\(180 = (2 \times 3)^2 \times 5\)[/tex]

Since we are taking the square root of 180, we can rewrite it as the square root of its perfect square factors multiplied by the remaining non-perfect square factor:[tex]\(\sqrt{180} = \sqrt{(2 \times 3)^2 \times 5}\)[/tex]

The square root of a perfect square is just the value of the number itself:

[tex]\(\sqrt{180} = 2 \times 3 \times \sqrt{5}\)[/tex]

Finally, we can simplify the expression by multiplying the numbers outside the square root [tex]\(\sqrt{180} = 6\sqrt{5}\)[/tex]

So, the expression [tex]\(6\sqrt{5}\)[/tex] is equivalent to [tex]\(\sqrt{180}\)[/tex], and it represents the positive square root of 180 with any perfect square factors taken outside the square root sign.

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Hi! I'm happy to help!

To  solve this, we first need to find our what could give us 1/3. WE realize that the sequence is descending, so we must be dividing. We can then, from here, multiply our top number by 1/3, because that is our end number, and could possibly work for our common ratio. From this, we can check if this fits in our equation. (dividing by 3)

243×1/3=81

81×1/3=27

27×1/3=9

9×1/3=3

3×1/3=1

1×1/3=1/3

We can check if this is the correct amount of numbers that would fit into the geometric sequence. Let's see if this fits in:

243, 81, 27, 9, 3, 1, 1/3

This does fit into our geometric sequence. Our middle terms are underlined. (missing numbers)

Our common ratio is the number we multiply the previous number by to get our next, so our common ratio is 1/3.

So, our geometric sequence is 243, 81, 27, 9, 3, 1, 1/3, our middle terms are 81, 27, 9, 3, and 1. Our common ratio is 1/3.

I hope this was helpful, keep learning!

Answer:

Step-by-step explanation:

Given:

To find the terms in between.

Find the common ratio first:

The terms in between are:

Answer:

Step-by-step explanation:

Subset of A = { {} , {a} , {b}, {a.b} }

Answer:

3951>3519>3191

Step-by-step explanation:

hope you understood how

Step-by-step explanation:

A because the amount of ice cream sales doesn't relate to the number of births in a city.

B works because amount of ice cream sales can relate to money. Both C and D work because temperature could affect when people want to buy ice cream. (people most likely won't buy ice cream in the winter but most likely will in the summer)

Hi! I'm happy to help!

To solve this equation, we need to find how much distance is between the y coordinates, how much distance is between the x coordinates, and then use the Pythagorean Theorem.

Let's start with finding the distance between the x coordinates. The first x coordinate is 4, and the second is -2. This means that the distance in x is 6.

Next, we need to find how much distance is between the y coordinates. The first y point is at the y coordinate 0, and the second is at the y coordinate -3. This means that the distance in y is 3.

Now we use the Pythagorean Theorem, which says that a²+b²=c²

A and b refer legs of a right triangle, and c refers to the hypotenuse (longest side) of the right triangle. Imagine the two points on a line, the direct distance is the c, and the y and x movements alone are a and b.

Let's say x is a, and y is b. Let's insert our values:

6²+3²=c²

36+9=c²

45=c²

To find c, we need to find the square root of 45

√45

6.708203...

Rounds to about 6.7 in tenths.

So, the distance between those two points is about 6.7.

I hope this was helpful, keep learning! :D

Answer:

im doing online school and the correct answer is 6.7

Step-by-step explanation: