**Answer:**

Sum of angles 2 and 3 will be equal to sum of angles 1 and 4.

As per the opposite angle theoreom: "When two lines cross, four angles are created and the opposite angles are equal" Here:

Angle 1 is opposite of angle 3Angle 2 is opposite of angle 4Angle 2+3 is opposite of angle 1+4a body of mass 10kg acted upon by a force of 40N for 0.5secs. Find the:(i)impulse on the body. (ii)final speed of the body. (iii)distance covered within the time interval.

**Step-by-step explanation:**

20n 20394848484848575

The **impulse **on the body is 20 kg-m/s, the final **speed **of the body is 2m/s, and the **distance **covered within the** time interval** is 0.5m.

**Force **is the strength applied on an object with mass to change its state of motion.

The **mass **of the body is 10kg.

The **force **applied on the object is 40N.

The **time **for which the **force **is applied is 0.5 sec.

The **impulse **on the **body **is calculated by,

Impulse = Force * Time

**Impulse **= 40 * 0.5

**Impulse **= 20 kg-m/s

The** final speed **of the body is given by

v = u + at

Assuming the **initial speed** = 0

v = at

**Acceleration **= Force / mass

**Acceleration **= 40/10

a = 4 m/s²

v = 4 * 0.5

v = 2 m/s

The **distance** covered within the **time interval **is given by,

s = ut + (1/2) at²

s = (1/2) at²

s = (1/2) 4 * 0.5 *0.5

s = 0.5 m

To know more about** Force**

https://brainly.com/question/13191643

#SPJ5

I need help with this

**Answer:**

ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure

Need all these questions answer plz

**Step-by-step explanation:**

1 result(s) found

x

2

−x−3

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

STEP

2

:

x3 + 3x2 - 7x - 12

Simplify ——————————————————

x + 4

Checking for a perfect cube :

2.1 x3 + 3x2 - 7x - 12 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3 + 3x2 - 7x - 12

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -7x - 12

Group 2: x3 + 3x2

Pull out from each group separately :

Group 1: (7x + 12) • (-1)

Group 2: (x + 3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3 Find roots (zeroes) of : F(x) = x3 + 3x2 - 7x - 12

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 1 and the Trailing Constant is -12.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -3.00

-2 1 -2.00 6.00

-3 1 -3.00 9.00

-4 1 -4.00 0.00 x + 4

-6 1 -6.00 -78.00

-12 1 -12.00 -1224.00

1 1 1.00 -15.00

2 1 2.00 -6.00

3 1 3.00 21.00

4 1 4.00 72.00

6 1 6.00 270.00

12 1 12.00 2064.00

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

x3 + 3x2 - 7x - 12

can be divided with x + 4

Polynomial Long Division :

2.4 Polynomial Long Division

Dividing : x3 + 3x2 - 7x - 12

("Dividend")

By : x + 4 ("Divisor")

dividend x3 + 3x2 - 7x - 12

- divisor * x2 x3 + 4x2

remainder - x2 - 7x - 12

- divisor * -x1 - x2 - 4x

remainder - 3x - 12

- divisor * -3x0 - 3x - 12

remainder 0

Quotient : x2-x-3 Remainder: 0

Trying to factor by splitting the middle term

2.5 Factoring x2-x-3

The first term is, x2 its coefficient is 1 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3

Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .

-3 + 1 = -2

-1 + 3 = 2

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

2.6 Cancel out (x+4) which appears on both sides of the fraction line.

Final result :

x2 - x - 3

Terms and topics

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Polynomial root calculator

Polynomial long division

Related links

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Root Finder -- Polynomials Calculator

How to factor five term polynomial - Yahoo Answers

Long Polynomial Division

Polynomial long division - Wikipedia

Polynomial Long Division

Polynomials - Long Division

A computer store pays sales associates $10 per hour

and managers $15 per hour. If the total hours

worked by the sales associates is 100 and the total

hours worked by managers is 50, how much will the

store pay in wages?

**Answer:**

They pay a total of $1750.

**Step-by-step explanation:**

You multiply the hours by the pay per hour SO,

Managers= $15 multiplied by the 50 hours they worked ($15 * 50hrs.) and get "$750"

Associates= $10 multipled by 100 hours ($10 * 100) and get "$1000"

Add the total sums ($750 + $1000) and get a total of $1750

help meeeeeeeeeeeeeeee

**Answer:**

A

**Step-by-step explanation:**

Answer: A

Explanation:

Explanation:

(-10) + -7)

find each sum?

**Answer:**

-10 + (-7)= -17

**Step-by-step explanation:**

**Answer:**

-17

**Step-by-step explanation:**

-10 plus -7 is -17

PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!!

**Answer:**

**Step-by-step explanation:**

I & III look good

5 divided by 5/6.please help

**Answer:**

5 divided by 5/6=6

Suppose at age 22 mort starts investing 200$ at the end of each month into a savings plan with an apr of 2.9% and he continues to do so through the next 43 years ( planning to retire at age 65). How much will be in his savigns plan towards retirement? How much of his balance was from the interested loans

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Monthly Payment (PMT) = 200 at the end of each period

interest rate = 2.9% = 0.029/12 = 0.0024166

Period (n) = 43 years x 12 = 516

Using the future value(FV) of an ordinary annuity:

FV = PMT[(1 + r)^n - 1] / r

FV = 200[(1 + 0.0024166)^516 - 1] / 0.0024166

FV = 200[(1.0024166)^516 - 1] / 0.0024166

FV = 200(2.4745372) / 0.0024166

FV = 204,794.93

Amount which will be in saving plan towards retirement = $204,794.93

Interest amount :

$204,794.93 - total monthly deposits

$204,794.93 - (200 * 516)

$204,794.93 - $103,200

= $101,594.93

Help plz and thanks

**Answer:**

8

**Step-by-step explanation:**

4x4=16x8=128

WILL MARK BRAINLIEST

What is the range of the function f(x)=1/3x+1, when the domain is {-1,1,4}

a {0, 2, 4}

b {-1, 1, 3}

c {2/3, 4/3, 2}

d {-2/3, 5/3, 4}

**Answer:**

D.

**Step-by-step explanation:**

**SORRY IF THIS IS WRONG IM NOT GOOD IN MATH BUT I TRY**

Amanda is making white oatmeal cookies with raisins and pecans for her club. The recipe makes seventeen of the big, chewy kind of oatmeal cookies with lots of raisins and nuts. It takes one-fourth of a cup of nuts and one-half of a cup of raisins just for the seventeen cookies! There are thirty-four members in Amanda's club. If she makes exactly thirty-four cookies, how many cups of nuts will she need?

**Answer:**

half a cup

**Step-by-step explanation:**

if one fourth is needed for 17 and thirty four is the double of 17, then

1/4 x 2 = 2/4

2/4 simplified is 1/2->half

Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana's. Which is the correct way to represent "the opposite of Shana's temperature is equal to Pearl's"? Negative 20 = 20 Negative (negative 20) = negative 20 Negative (20) = negative 20 Negative (negative 20) = 20

**Answer:**

**Step-by-step explanation:**

Given Shana temperature = -20°C

°If Pearls temperature is opposite that of Shana's then Pearls temparature = -(-20) = 20°C

Hence the correct way to represent "the opposite of Shana's temperature is equal to Pearl's

Opposite of shana = -(-20°C)

Pearls temperature = +20°C

**Since Opposite of shana = Pearls temperature, hence -(-20°C) = 20°C**

Answer:

-(-20 = 20

Step-by-step explanation:

The "opposite" here means we take the negative of -20 C.

So we can write -(-20 which is equal to 20.

So the first option is correct, -(-20 = 20.

hope this helps:)

What are the values of x and y?

image attached. Thank you!

**Answer:**

C

**Step-by-step explanation:**

We'll have to use trigonometry for this.

First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.

In order to find x, then, we must use sine, which is opposite/hypotenuse. So:

sin(A) = sin(60) = opposite/hypotenuse = x/18

sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:

[(√3)/2] * 18 = 9√3

Already, we can tell that the answer is likely C, but let's find y to make sure.

We will use cosine to find y because cos = adjacent/hypotenuse.

cos(A) = cos(60) = adjacent/hypotenuse = y/18

cos(60) = 0.5, so multiplying both sides by 18 gives:

0.5 * 18 = 9

So, y = 9.

Thus, C is our answer.

*~ an aesthetics lover*

**Answer:**

C

**Step-by-step explanation:**

Using the cosine/ sine ratio in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 9[tex]\sqrt{3}[/tex]

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

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9

Thus

x = 9[tex]\sqrt{3}[/tex] and y = 9 → C

What is the value of f(x) = 3x -12 for anx = 9

**Answer:**

15

**Step-by-step explanation:**

f(x) = 3x -12 for x = 9

f(9) = 3(9) -12

27-12

15

PLEASE HELP ME WITH THIS

**Answer:**

Hello!!! Princess Sakura here ^^

**Step-by-step explanation: **(sorry you'll have to graph them on your own)

*Number 2:*

So if x was this y would be...

x=-3 y=4 (-3,4)

x=0 y=2 (0,2)

x=3 y=0 (3,0)

The solution would be (3,0).

*Number 3:*

So before we begin we'd have to solve for y by subtracting 1 from both sides to get... [tex]y=3x-1[/tex]

Now we should choose -1, 0, and 1 so now...

x=-1 y=-4 (-3,4)

x=0 y=-1 (0,2)

x=1 y=2 (3,0)

The solution would be (1,2).

4.(03.06 MC)

Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.

**Answer:**

y=-3x+1

**Step-by-step explanation:**

how different are polynomials from non-polynomials?

**Answer:**

The polynomials can be identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents. The non-polynomial expressions will be the expressions which contain other operations. Explain why the non-polynomial expressions are not polynomials.

the solution of equation x × 3=0 is

**Answer:**

x=0

**Step-by-step explanation:**

*Regroup terms:*

3x=0

*Divide both sides by 3:*

3x divided by 3 = x

0 divided by 3 = 0

x=0

Professor Burger orders flowers to be delivered to his mother. The flowers cost $59.95, not including tax. A bouquet of flowers is shown. Its price tag reads fifty-nine dollars and ninety-five cents. If there is a 6% sales tax, what is the total cost of the flowers to the nearest cent? Enter the correct answer in the box.

Answer:$60.30

Step-by-step explanation:

First, you need to find what 6% of 59.95 is. To do this, multiply 59.95 x 0.06. This gives you 3.597.

Add together 59.95 and 3.597. This gives you 63.547.

The directions say to round to the nearest cent, so round up to $63.55.

Hope this helps!

Add together 59.95 and 3.597. This gives you 63.547.

The directions say to round to the nearest cent, so round up to $63.55.

Hope this helps!

find the coordinates of the midpoint of a segment with the given endpoints 3.)P(-12 -9) Q(2,10) help plz

**Answer: **

(-5, 0.5)

**Step-by-step explanation:**

-12+2/2= -5

-9+10/2= 0.5

**(-5, 0.5)**

the mass of the moon

**Answer:**

The answer is 10^24kg. 0.07346.

0 -x + y = 1

9x – 7y = 1

**Answer:**

X = 4 and Y = 5

**Step-by-step explanation:**

What is the domain and range of this graph? You can write your answer using words or mathematical notation

**Answer:**

The domain of the graph is (-infinity, infinity)

The range of the graph is [0, infinity)

Please mark as helpful if this is helpful!

Thanks

A coin weighs 5/6 ounces. Ann picked up 3 of these coins.

What is the total weight of the coins she picked up?

Write your answer in simplest form.

**Answer:**

2 1/2 ounces

**Step-by-step explanation:**

If each coin is 5/6 ounces and she picks up 3, we must multiply the two numbers

5/6 × 3

3 can also be written as 3/1

5/6 × 3/1

multiply the numerators and denominators separately

5 × 3/6 × 1

15/6

Both 15 and 6 have a common factor of 3 so divide both numbers by 3

15 ÷ 3/6 ÷ 3

5/2

This is simplest form in terms of improper fractions

If you want it as a whole number it would be:

2 1/2

This is because 2 goes into 5 twice evenly (whole number) with one remaining (numerator; denominator stays the same)

**Hello**

**Answer:**

2.5 ounce

**Step-by-step explanation:**

Weight of each coin=5/6 ounce

Weight of 3 such coins= 3*5/6

= 2.5 ounces

Hope its in the simplest form....

What does this mean exactly?

**Answer: Choice B **[tex]y \le 0[/tex]

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

Explanation:

They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.

The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.

So y is between negative infinity and 0, which means we write [tex]-\infty < y \le 0[/tex]

Converting that to interval notation leads to [tex](-\infty, 0][/tex]. Note the square bracket to include the endpoint.

The compound inequality [tex]-\infty < y \le 0[/tex] simplifies to [tex]y \le 0[/tex]

One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".

Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.

Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and q = 7.)

**Answer:**

23

**Step-by-step explanation:**

7-5(1)+3(7)

7-5+21

2+21

23

**Answer:**

7-5+21 = 23

**Step-by-step explanation:**

7 - 5p+ 3q

7 - 5(1) + 3(7)

7 - 5 + 21

7 + 16

= 23 hope this helps :)

The area of a square garden is 9ft. How long is each side of the garden

The **length** of each side of the square garden is 3ft.

A **square** is a quadrilateral with four equal straight sides and four right angles.

To find the **area** of a square garden, multiply two equal sides.

The **area** is the space of a two-dimensional line.

To find the **length** of each side of a square garden, compute the **squared root** of the **area**.

**Area** of the square garden = 9 ft

Length of each side = √9

= 3 feet

Thus, each side of the garden has 3 ft.

Learn more about **the area, length, and width** at https://brainly.com/question/25292087

#SPJ1

Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.

Answer:

The least number of plates and cups she can buy is 24

She will buy 3 packs of plates

She will buy 2 packs of cup

Step-by-step explanation:

Plates = 8 per pack

Cups = 12 per pack

Find the Lowest common multiple of 8 and 12

8 = 16, 24, 32, 40, 48, 56, 64, 72, 80

12 = 24, 36, 48, 60, 72

What is the least number of plates and cups she can buy?

The Lowest common multiple of 8 and 12 is 24

The least number of plates and cups she can buy is 24

How many packs of plates?

Packs of plates = 24 plates / 8 per pack

= 3 packs

She will buy 3 packs of plates

How many packs of cups?

Packs of cups = 24 / 12 per pack

= 2 packs

She will buy 2 packs of cup

HELPPPPpPPPZZZ PLZZZZ I NEED HELLPP

**Answer:**

The triangles are lined up with their correct pairs already.

**Step-by-step explanation:**

The leg that is the base is always seen as the bottom, and the leg to the side of it that makes the right angle will always be the height. Though if the base is at the hypotenuse as it is seen in the last photo, the height will be from the point of which the two legs of the triangle meet down to the hypotenuse.

When sentences include coordinating conjunctions, they should notuse
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