What is the area of the parallelogram?

A. 11 square centimeters

B. 22 square centimeters

C. 15 square centimeters

D. 30 square centimeters

The discount is $43.50, making the price of the discounted TV $246.50.

15% = .15

.15 x 290 = 43.5

$290 - $43.50 = $246.50

Answer:

240 minutes or 4 hours

Step-by-step explanation:

Step 1:  Multiply

8 * 30

240 min

If you want hours:

240 / 60

4 hours

Answer:  240 minutes or 4 hours

Answer:

The cost of 7 journals is less than the cost of 4 journals plus a $5 novel.

Step-by-step explanation:

Let

x -----> the cost of a journal

Verify each case

case 1) The cost of 7 journals is $5 greater than the cost of 4 journals

In this case the equation would be

[tex]7x=4x+5[/tex]

case 2) The cost of 7 journals is less than the cost of 4 journals plus a $5 novel.

so

[tex]7x<4x+5[/tex]

solve for x

subtract 4x both sides

[tex]3x<5[/tex]

divide by 3 both sides

[tex]x<\$1.67[/tex]

so

The cost of one journal must be less than $1.67

case 3) The cost of 7 journals is less than the cost of 4 journals with a $5 off coupon.

so

The inequality would be

[tex]7x<4x-5[/tex]

case 4) The cost of 7 journals is greater than the cost of 4 journals plus a $5 novel.

so

The inequality would be

[tex]7x>4x-5[/tex]

Answer:

Distance = 63 km

Step-by-step explanation:

Speed = 90 km/h

Time = 42 mins

Time = 42 / 60 = 0.7 hrs

Distance = Speed × time

Distance = 90 km/h × 0.7 hr

Distance = 63 km

Answer:

2/3 ≥ 3/6

Step-by-step explanation:

Cross Multiply  

f/g=h/i

f×i=g×h

2×6> 3×3

12> 9

Answer:

[tex]-\frac{41}{4}[/tex]

Step-by-step explanation:

-4(8+y)=9

Distribute:

-32-4y=9

Add 32 on both sides:

-4y=41

Divide -4 with 41:

y=-41/4

Answer:

[tex]y = - \frac{41}{4} = - 10 \frac{1}{4} \\ [/tex]

Step-by-step explanation:

[tex]-4(8+y)=9 \\ - 32 - 4y = 9 \\ - 4y = 9 + 32 \\ - 4y = 41 \\ \\ y = - \frac{41}{4} = - 10 \frac{1}{4} [/tex]

Answer: The slope of BC is -2.

Step-by-step explanation:

We know that a rectangle has all opposite sides equal and parallel.

Each interior angle is a right angle.

Therefore , if rectangle ABCD is a rectangle then , AB should perpendicular to  BC.   [ ∵ Angle between AB and BC is 90° .]   (1)

Also , slope of line passing through (a,b) and (c,d) :  [tex]\dfrac{d-b}{c-a}[/tex]

If A is located at (3, 4) and B is located at (7,6) .

Then , The slope of AB = [tex]\dfrac{6-4}{7-3}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

Also, the product of slopes of two perpendicular lines is -1.

Then , (Slope of AB) x  (Slope of BC) = -1     [From (1)]

[tex]\Rightarrow\ \dfrac{1}{2}\times (\text{Slope of BC})= -1\\\\\Rightarrow\ \text{Slope of BC}=-2[/tex]

Hence, the slope of BC is -2.

Answer:

Cos 2x = Cos (5x-3x)

Cos(5x)Cos(3x) + Sin(5x)Sin(3x)

Cos 8x = Cos (5x + 3x)

Cos(5x)Cos(3x) - Sin(5x)Sin(3x)

Cos 2x - Cos 8x

= Cos(5x)Cos(3x) + Sin(5x)Sin(3x) -

[Cos(5x)Cos(3x) - Sin(5x)Sin(3x)]

= 2Sin(5x)Sin(3x)

Cos 2x + Cos 8x

= Cos(5x)Cos(3x) + Sin(5x)Sin(3x) +

[Cos(5x)Cos(3x) - Sin(5x)Sin(3x)]

= 2Cos(5x)Cos(3x)

= 2Sin(5x)Sin(3x) ÷ 2Cos(5x)Cos(3x)

2 gets cancelled out

Sin(5x)/Cos(5x) is Tan(5x)

Sin(3x)/Cos(3x) is Tan(3x)

Hence the fraction is identical to

Tan(5x)Tan(3x)

Answer:

y = -2x - 2

Plug the x- and y-values into the appropriate spaces in the slope-intercept form and see which value for b would make the equation true:

4 = -2(-3) +/- ?

4 = 6 - 2

4 = 4

I don't know if this makes sense, I'm sorry if it doesn't but the answer is correct because it goes through the point (-3,4)

The answer is y = -2x - 2

You have to first plug the x- and y-values into the correct spots in the slope-intercept form and see which value for b would make the equation true.

4 = -2(-3) +/- ?

4 = 6 - 2

4 = 4

Hope to help.

Answer:

3^4 and 81^1

Step-by-step explanation:

Answer:   -√6 + 1

Step-by-step explanation:

[tex]\dfrac{\tan\bigg(-\dfrac{2\pi}{3}\bigg)}{\sin\bigg(\dfrac{7\pi}{4}\bigg)}-\sec(-\pi)\\\\\\=\dfrac{\tan(240^o)}{\sin(315^o)}-\sec(180^o)\\\\\\=\dfrac{\sqrt3}{-\dfrac{\sqrt2}{2}}-(-1)\\\\\\=\dfrac{-2\sqrt3}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)+1\\\\\\=\large\boxed{-\sqrt6+1}[/tex]

Answer:

5a²+22a+8

Step-by-step explanation:

(5a+2)(a+4)

5a² + 20a + 2a + 8

5a² + 22a + 8

Answer: c

Step-by-step explanation:

Answer:

C y = −4.6 and y = 4.6

Step-by-step explanation:

Edge 2023

Answer:

I got 3591.36 cubic inches

Step-by-step explanation:

Its wrong its wrong

Complete Question:

Option 1: $30 an hour plus a non-refundable deposit of $50.

Option 2: $20 an hour plus a non-refundable deposit of $75.

Kyle is renting a jetski for the day. If he can rent the jetski in 1-hour increments, what is the minimum number of hours must he rent the jetski for option 2 to be a better deal than option 1?

Answer:

Kyle must rent the jetski for three hours for option 2 to be a better deal than option 1

Solution:

Let "x" be the number of hours

Therefore,

Charge for option 1: 50 + 30x

For 1 hour,

Charge = 50 + 30(1) = 80

For 2 hours,

Charge = 30(2) + 50 = 110

For 3 hours,

Charge = 30(3) + 50 = 140

For 4 hours,

Charge =  30(4) + 50 = 160

Charge for option 2 : 75 + 20x

For 1 hour,

Charge = 20(1) + 75 = 95

For 2 hours ,

Charge = 20(2) + 75 = 115

For 3 hours,

Charge =  20(3) + 75 = 135

For 4 hours,

Charge =  20(4) + 75 = 155

For the first two hours , the charge of option 2 is more than the rent of option 1

From 3 hours, option 2 will be better deal than option 1

The complex number from the table are

[tex]1+\sqrt{-3}, \ 4-3 \sqrt{-16}, \ \frac{3+2 \sqrt{-9}}{7}, \ 9 \sqrt{-\frac{7}{5}}[/tex]

Solution:

Let us solve and identify the complex number.

(A) [tex]5-\sqrt{\frac{9}{4}}[/tex]

[tex]5-\sqrt{\frac{9}{4}}= 5-\sqrt{\frac{3^2}{2^2}}[/tex]

            [tex]= 5-\frac{3}{2}[/tex]

           = 3.5

This is not a complex number.

(B) [tex]1+\sqrt{-3}[/tex]

[tex]1+\sqrt{-3}=1+\sqrt{-1\times 3}[/tex]

We know that [tex]\sqrt{-1} =i[/tex].

[tex]1+\sqrt{-3}=1+\sqrt{3}i[/tex]

This is a complex number.

(C) [tex]4-3 \sqrt{-16}[/tex]

[tex]4-3 \sqrt{-16}=4-3 \sqrt{-1\times 4^2}[/tex]

[tex]4-3 \sqrt{-16}=4-3\times4 \sqrt{-1}[/tex]

We know that [tex]\sqrt{-1} =i[/tex].

[tex]4-3 \sqrt{-16}=4-12i[/tex]

This is a complex number.

(D) [tex]\frac{2-\sqrt{12}}{5}[/tex]

[tex]\frac{2-\sqrt{12}}{5}=\frac{2-2\sqrt{3}}{5}[/tex]

There is no –1 in the root.

This is not a complex number.

(E) [tex]\frac{3+2 \sqrt{-9}}{7}[/tex]

[tex]\frac{3+2 \sqrt{-9}}{7}=\frac{3+2 \sqrt{-1\times 3^2}}{7}[/tex]    

We know that [tex]\sqrt{-1} =i[/tex].  

             [tex]=\frac{3+6i}{7}[/tex]

This is a complex number.

(F) [tex]9 \sqrt{-\frac{7}{5}}[/tex]

[tex]9 \sqrt{-\frac{7}{5}}=9 \sqrt{-1 \times \frac{7}{5}}[/tex]

We know that [tex]\sqrt{-1} =i[/tex].  

[tex]9 \sqrt{-\frac{7}{5}}=9 \sqrt{ \frac{7}{5}}i[/tex]

This is a complex number.

Hence the complex number from the table are

[tex]1+\sqrt{-3}, \ 4-3 \sqrt{-16}, \ \frac{3+2 \sqrt{-9}}{7}, \ 9 \sqrt{-\frac{7}{5}}[/tex]

Answer:

$339.25

Step-by-step explanation:

Since the credit card customer owes $523.85 and is only able to make a payment of $184.50

Amount still owed

= $523.85 - $184.60

= $339.25

The customer still owes $339.25

Answer:

5 in

Step-by-step explanation:

I don't actually the ans

Answer:

8p + 25b

Step-by-step explanation:

The expression of the word problem above can be written thus:

[tex]8p + 25b[/tex]

Answer:

292 in^2

Step-by-step explanation:

Area of the top and bottom combined is 2(14 inches)(5 inches)), or 140 in^2.

Area of the two ends, combined, is 2(4 inches)(5 inches)) = 40 in^2.

Are of the two sides, combined, is 2(14 inches)(4 inches)) = 112 in^2.

Summing up these three subtotals, we get the total area 292 in^2.

The product of a rational number multiplied by itself is called as a perfect square.,we can easily find out the square root for a number which is a imperfect square

Step-by-step explanation:

using the following formula we can find a square root for a number which is a imperfect square

X = Non perfect square

√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )

[tex]√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )[/tex]Example

√38

the nearest perfect root is 36

36 (√36=6)

so √38 = √36 + (38-36)/2√36

= 6 + 2/12

=6 + 1/6 = 6.166 (answer)

[tex]√38 the nearest perfect root is 36 36 (√36=6)so √38 = √36 + (38-36)/2√36 = 6 + 2/12=6 + 1/6 = 6.166 (answer)[/tex]

To find the square root of a non-perfect square, use estimation techniques or the quadratic formula if in relation to an equation. Use the imaginary unit i for square roots of negative numbers, and simplify by removing perfect squares when adding or subtracting radicals.

Finding the square root of a number that is not a perfect square can be done using a few different methods. One simple non-calculator method is to use estimation and refinement; start with an approximate guess and improve it. When dealing with negative numbers, remember that we use the imaginary unit i to denote the square roots of negative numbers. For example, a₂ can be written as 2i. Adding and subtracting radicals involves simplifying each radical by removing perfect squares and combining like terms.

For equations where the square root is part of a quadratic equation, ax²+bx+c = 0, if a, b, and c are non-zero, we should use the quadratic formula to find solutions. Estimation also applies when dealing with cube roots or higher, where we can start with an initial guess and use methods like calculus to refine it.

To estimate a surd like a₃ without a calculator, consider its place on the number line between two integers, knowing that a₃ is about 1.732. This helps get an approximate value which is often sufficient for many applications.

Answer:

39.69 degrees

Step-by-step explanation:

Let

x ----> the measure of the angle

we have that

[tex]tan(X)=0.83[/tex]

using a calculator

[tex]m\angle X=tan^{-1}(0.83)=39.69^o[/tex]

Answer:

C.  12x³ + 6x²

Step-by-step explanation:

I'm an FLVS kid and got the question right, so I wanted to explain my answer:

You just have to use the distributive property for this one. Multiply 2x² by each term in the brackets.

2x²(6x + 3) ← original question for ref.

2x²(6x) = 12x³

2x²(3) = 6x²

So the new terms are 12x³ +  6x²

The answer is C.

Answer:

29?

Step-by-step explanation:

Answer:it might be 29

Step-by-step explanation:

Answer:

q=4

Step-by-step explanation:

brainlest would be epic owo

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*q-11-(13)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  6q - 24  =   6 • (q - 4)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    6   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    q-4 = 0

Add  4  to both sides of the equation :

                     q = 4

Answer:

q=4

Step-by-step explanation:

6q-11=13    first you have to get all the like terms together so add 11 to both sides

6q=24             Now divide both sides by 6 so you just have q on one side

q=4

Answer:

pentagon

Step-by-step explanation:

In this problem we have a pentagonal prism

so

The solid has two pentagonal bases and five lateral rectangular faces

we know that

A plane parallel to the base of a pentagonal prism will intersect a cross section that is the same shape as its bases

so

The shape of the horizontal cross section of the given prism, is a pentagon

Answer: Pentagon

Step-by-step explanation:

Answer:

Step-by-step explanation:

x - 10 = 0

x = 10

f(10) = 2*10² + 5 = 2*100 + 5 = 200 + 5

      = 205

Remainder = 205

Answer:

195 is the right answer

Step-by-step explanation:

195