Write a⇀ with magnitude 10 and direction 42° in component form. Round to the nearest tenth.

The height of parallelogram is 6

In geometry, parallelogram is a shape which is a type of quadrilateral. A parallelogram has 2 pair of sides which are parallel. Thus, we can say that a parallelogram is a quadrilateral of 2 pair of parallel sides. The opposite sides of parallelogram are of equal side.

Parallelogram is a convex polygon, which is a 2-dimentional geometric shape.

Important formulas of Parallelogram :

In the given question,

base of parallelogram = 9

height = 2/3

Also, area = base . height

therefore, area = 9 . 2/3 = 3.2 = 6

The height of parallelogram is 6

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The complete question is:

A parallelogram has a base of 9 and a corresponding height of 2/3 . what is the area of the parallelogram.

Answer:

frrssetuii7ehhuytddcjiddfg

Answer:

q arrow p, and p arrow q

Step-by-step explanation:

edmentum

Answer:

190 / 360 = 0.52777777

0.527777 x 100 = 52,78%

The algebraic expression that represents the total cost would be: A. 1.25r.

Given that the number of donuts Rick buys for his family is represented by letter "r", and we also know that:

cost of each donut = $1.25.

Using an algebraic expression, we can create a mathematical expression that shows the total cost for Rick to by a given number of donuts for his family.

Thus:

1 donut = 1.25

r donuts would cost: 1.25 × r = 1.25r.

Therefore, the algebraic expression that represents the total cost would be: A. 1.25r.

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The term (- x² + 2x + 1 ) must be subtracted from (x² + 2x - 3) to get

(2x² - 4).

Here,

We have to find the number which must be subtracted from x² + 2x - 3 to get 2x² - 4.

What is Number system?

A system of writing to express the number is called number system.

Now,

Let 'a' must be subtracted from x² + 2x - 3 to get 2x² - 4.

It can be written as;

(x² + 2x - 3) - a = 2x² - 4

a = (x² + 2x - 3) - (2x² - 4)

a = x² + 2x - 3 - 2x² + 4

a = - x² + 2x + 1

Therefore, The term (- x² + 2x + 1 ) must be subtracted from x² + 2x - 3 to get 2x² - 4.

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Answer:

y = 2x

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other. So the slope is 2

m = 2, y = -4, x = -2

y = mx + b

-4 = 2(-2) + b

b = -4 + 4

b = 0

y = 2x

The  synthetic division solution of  (4x² + 3x³ + 9x− -20) /  (x + 2)​ is mathematically given as

3x^2-2x+13-(6/x+2)

This is further explained below.

Generally, Synthetic division is a technique that may be used to manually conduct Euclidean division of polynomials.

Compared to long division, the synthetic division requires less writing and fewer calculations to complete. The approach is most often taught for dividing by linear monic polynomials; however, it may be extended to divide by any polynomial.

In conclusion, The  synthetic division solution is mathematically given as

3x^2-2x+13-(6/x+2)

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Answer:

10 cups

Step-by-step explanation:

Since 16 cups is twice 8 cups, it needs twice 5 cups of flour which is 10 cups.

We can also use a proportion.

5/8 = x/16

8x = 5 × 16

x = 5 × 2

x = 10

Answer: 10 cups

Answer:

D. 285 cm

Step-by-step explanation:

Answer: D: 285 CM

Step-by-step explanation:

To find the perimeter you need to multiply its sides by its measure. It gives you in this case 57x5: 285

The ordered pair we are looking for is the values of the variables [tex]x[/tex] and [tex]y[/tex], or [tex](x, y).[/tex]  We are given that [tex]x=2[/tex], and that the formula to evaluate [tex]y[/tex] is [tex]y = 5^x[/tex]. Note we are given [tex]x[/tex] so we can evaluate [tex]y[/tex] as [tex]y = 5^2 = 25[/tex]. Now, we have both the values of [tex]x[/tex] and [tex]y[/tex], so our ordered pair is thus [tex](x,y) = (2,25).[/tex]

Answer:

[tex] \sf\large \: y = \frac{ - 1}{3} x - 3[/tex]

Step-by-step explanation:

Let's solve for y.

−2(x+3y)=18

Step 1: Add 2x to both sides.

−2x−6y+2x=18+2x

−6y=2x+18

Step 2: Divide both sides by -6.

−6y/−6 = 2x+18/−6

y= −1/3x−3

-5-3x

-5-3(-2)=1

-5-3(-1)= -2

-5-3(0)= -5

-5-3(1)= -8

-5-3(2)= 11

The amount generated by the invested amount of $500 which is compounded quarterly will be $610.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]

Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.

If $500 had been invested at an annualized rate of 8%, the money would have after 2.5 years. For the quarterly, the value of n will be 4. Then the amount will be

[tex]\rm A = 500 \left (1 + \dfrac{0.08}{4} \right)^{4 \times 2.5}[/tex]

Simplify the equation, then the amount is given as,

A = 500 (1 + 0.02)¹⁰

A = 500 (1.02)¹⁰

A = 500 x 1.22

A = $610

The amount generated by the invested amount of $500 which is compounded quarterly will be $610.

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Answer:2.1

Step-by-step explanation:

i added them then divided by 7

It is not a function because: C) the element 1 is in both the domain and the range.

A relation can be defined as a function if each of the domain values each has exactly one corresponding range value. This means that an element of the domain must not have two different elements from the range that it is related or corresponded to.

In the given function, 1 as an element of the domain is related to two different range elements, 10 and 7. This doesn't satisfy a function property.

Therefore, we can state that: it is not a function because: C) the element 1 is in both the domain and the range.

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Answer:

-15-13=

-28

-11-9-7

-27

Please see the attached image for your answer. Hope this helps!  

Answer:

I think the answer is, 2

Step-by-step explanation:

A number added to 4 is 2 = 6

The number added 2 times 3 = 6

I hope you get this this right.

Answer = 2

The 47th term in the given arithmetic sequence is 34.

Given,

The arithmetic sequence = 310, 304, 298,......

First term of the sequence, t₁ = 310

Common difference of the sequence, d = t₂ - t₁ = 304 - 310 = -6

nth term of an arithmetic sequence, tₙ = t₁ + ( n - 1) d

We have to find the 47th term of the arithmetic sequence.

That is, n = 47

So,

t₄₇ = 310 + (47 - 1) -6

t₄₇ = 310 + (46 x (-6) )

t₄₇ = 310 - 276

t₄₇ = 34

Therefore, the 47th term in the given arithmetic sequence is 34.

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Answer: 56.25 of 70% and 93.75pints of 90%

Step-by-step explanation: First find the ratios. One juice is 70% and the other is 95%. Your goal is 85%. This is 15% from 70 and 10% from 95. This means you need (15)/(15+10) of 95, which is 3/5 of all the juice to be 95. This means you will need more of the 95% juice, which makes sense because 85 is closer to 95. So 3:5 and total 150=56.25 of 70% and 93.75pints of 90%

the required simplified value of given expression 4x = 12x + 32 is x = -4 (hence proved).

Given that,
An expression is given 4x = 12x + 32,
We have to prove x = -4 as of simplified solution.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
4x = 12x + 32
Taking 12x to the left side of the equal sign and it becomes -12x
4x - 12x = 32
Applying subtraction property between 4x and 12
- 8x = 32
Dividing both sides by -6
x = -4

Thus, the required simplified value of the given expression is x = -4 (hence proved).

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The Additive Inverse is -32/6

Additive Inverse of Real Numbers:

The given number can be whole number, a natural number, an integer, a fraction, a decimal, or any real number. The additive inverse of real numbers is just the negative of the given number.

What is Additive Inverse?

Additive Inverse simply means changing the sign of the number and adding it to original number to get an answer is equal to 0.

Now, Come to the question:

Expression is : [tex]-4\frac{1}{6} -(-6)\frac{1}{3}[/tex]

Solve it : [tex]\frac{-25}{6}-\frac{(-19)}{3}[/tex]

Taking the L.C.M

=[tex]\frac{-25+57}{6}[/tex]

=32/6

Additive inverse of 32/6 is -32/6

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Answer:

5a,3a

Step-by-step explanation:

Answer:

consider the two number as x and y

first  given condition

x-6 = 3y

i.e. x= 3y + 6  eqn 1

second given condition

x+ y = 38

i.e. x= 38-y  eqn 2

solving eqn 1 and 2

3y + 6 = 38-y

3y + y = 38-6

4y = 32

y = 8

substituting the value of y in eqn 2

x = 38 - y

x= 38-8

x= 30

hence the required numbers are 8 and 30

Answer:

The HCF of 42 and 18 is 126

Answer: 6

Step-by-step explanation:

factors of 18 = 1, 2, 3, 6, 9, 18

factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42

The HCF is therefore 6

Answer:

Dear Friend

the answer is 6

Step-by-step explanation:

Just see the highest possible degree x in each term being multiplied and add the degree

that is

x has a degree 1

(x-1)² has a highest possible x degree as 2

for (x+5)³ it is 3

1+2+3=6

The point of intersection of the given two lines y = 4x - 1 and y = -2x + 5  is (1, 3).

According to the given question.

We have two equations

y = 4x - 1 ..(i)

and

y = -2x + 5 ..(ii)

As we know that, the point at which two lines intersect is called point of intersection.

Therefore, the point of intersection for the two lines y = 4x - 1 and y = -2x + 5  is given by

Subtracting equation ii from i

y - y = 4x - 1 + 2x -5

⇒ 0 = 6x - 6

⇒ 6x = 6

⇒ x = 1

Substitute the value of x in (i).

y = 4 - 1 = 3

Hence, the point of intersection of the given two lines y = 4x - 1 and y = -2x + 5  is (1, 3).

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