The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions of the rectangle. length and width.​

Answer:

216

Step-by-step explanation:

Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.

Answer:

216

Step-by-step explanation:

Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.

Answer:

9*((2-1)/9)

or

2 -1

9

2-9 =-7

9. 9

9× -7

9

=-7

2- 3

9. -3

=(1.22222222222)

or

11/9

or

1*(2/9)

Answer:

(C) $111.83

Step-by-step explanation:

If Sonya buys four pairs of shoes, each on a buy one get one 50% off, that means that we can find the value if she bought ONE deal of buy one get 50% off one, then multiply that by 2 (as if you do the deal, you are paying for two.)

The shoe costs $35, and if we have a 50% discount on it:

[tex]35\cdot0.5=17.5[/tex]

So the cost of the shoe ON DISCOUNT is 17.50, however the first pair still stays the same.

So the cost of two pairs of shoes using the discount is [tex]35+17.5 = 52.5[/tex]

So four pairs cost [tex]52.5\cdot2 = 105[/tex]

However, there is a tax of 6.5%

So we can multiply 105 by 1.065 to get the cost after tax.

[tex]105\cdot1.065=111.825[/tex]

This simplifies down to 111.83.

Hope this helped!

Answer:

  D(-7, -5)

Step-by-step explanation:

There are a couple of ways to figure this.

1) When the rectangle is aligned with the axes, as this one is, each coordinate value shows up twice. In the given list, x-values of 3 are repeated, but -7 is not, so the x-coordinate is -7.

The y-values of -2 are repeated, but -5 is not, so the y-coordinate is -5.

The coordinates of point D are (-7, -5).

__

2) The midpoint of diagonal AC is the same as the midpoint of diagonal BD, so the sum of coordinates at the ends of the diagonals will be the same:

  A+C = B+D

Subtracting the coordinates of B from the sum of A and C will give you the coordinates of D:

  D = A +C -B = (-7, -2) +(3, -5) -(3, -2) = (-7+3-3, -2-5+2)

  D = (-7, -5)

_____

Comment on the solution

The second approach works with any parallelogram, rhombus, rectangle, or square--any figure in which the diagonals bisect each other. The figure does not have to be aligned with the axes, as it does in the first approach.

Answer:

B

Step-by-step explanation:

4 (x) + 2 (-1) = 2 (-x) + 6(1)

4x + -2 = -2x + 6

The equation for the given figure is 4x-2=-2x+6. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

From the given figure,

x+x+x+x+(-1-1)=(-x-x)+(1+1+1+1+1+1)

⇒ 4x-2=-2x+6

So, equation modeled as 4x-2=-2x+6

The equation for the given figure is 4x-2=-2x+6. Therefore, option B is the correct answer.

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Answer:

Step-by-step explanation:

This is trying to help you understand a method of factoring trinomials.

The first step is to look at the linear term (-5x) and the constant term (-24) and identify the coefficients and their signs: -5 and -24.

The next step is to identify factors of -24 (the constant) that have a sum equal to -5 (the linear term coefficient). We can look at the ways that -24 can be factored:

  -24 = 1(-24) = 2(-12) = 3(-8) = 4(-6)

The sums of these factor pairs are 1-24=-23, 2-12=-10, 3-8=-5, 4-6=-2. Of course, the pair we're looking for is +3 and -8.

The next step from here is to rewrite the linear term using these factors. (-5x=3x-8x) This is the first step of the sequence shown in the figure:

  x² +3x -8x -24

The next step is to group these terms in pairs:

  (x² +3x) +(-8x -24)

And then, to factor each pair using the distributive property:

  x(x +3) -8(x +3)

Finally, finish the factoring, again using the distributive property:

  (x +3)(x -8)

Answer:

60

Step-by-step explanation:

Answer:

It's the first option

Step-by-step explanation:

The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle (in this case AB and  AC) is parallel to the third side (BC) and half as long.

Answer:

      $5 and 50 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Number of pieces of candy in the bowl=64

Step-by-step explanation:

Let

x=number of pieces of candy in a bowl

Shirley took=1/2 of x

=1/2x

Remaining

x-1/2x

= 2x-x/2

=1/2x

Rose took half of the pieces left in the bowl=1/2 of 1/2x

=1/2*1/2x

=1/4x

Remaining

1/2x-1/4x

=2x-x/4

=1/4x

Susan took 1/2 of the remaining pieces of candy=1/2 of 1/4x

=1/2*1/4x

=1/8x

Remaining 8

1/8x=8

x=8÷1/8

=8*8/1

=64

x=64

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

Work Shown:

T(2) = 20 means the second term is 20

T(1) = 26 because we go backwards from what the rule says (subtract 6) to step back one term. Going forward, 26-6 = 20.

Since a = 26 is the first term and d = -6 is the common difference, the nth term is

T(n) = a + d*(n-1)

T(n) = 26 + (-6)(n-1)

T(n) = 26 - 6n + 6

T(n) = -6n + 32

Plugging n = 1 into the equation above leads to T(1) = 26. Using n = 2 leads to T(2) = 20.

Plug in n = 10 to find the tenth term

T(n) = -6n + 32

T(10) = -6(10) + 32

T(10) = -60+32

T(10) = -28

Answer:

-28.

Step-by-step explanation:

T(1) = 20 + 6 = 26.

This is an arithmetic series  with:

nth term T(n) =  26 - 6(n - 1).

So T(10) = 26 - 6(10-1)

= 26 -54

= -28.

Answer:

f(x)=104x-x^2

Step-by-step explanation:

Let

x = number of tickets sold.

example, 2 tickets cost 2 · 408 = $816

3 tickets cost 3 · 404 = $738.

The cost of buying x tickets= the number of tickets sold × the price of each ticket.

If x tickets are sold, then the price of each ticket is 412-4(x-1)

Then the quadratic function that gives the total cost of buying x tickets is given by

Cost =quantity sold*price

=412-4(x-1)*x

=(412-4x+4)*x

=412x-4x^2+4x

=416x-4x^2

Divide through by 4

=104x-x^2

Therefore, the required quadratic function is

f(x)=104x-x^2

Answer:

H₀: μ = 4 vs. H ₐ: μ > 4

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.

The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.

It is also known as the research hypothesis and is denoted by H ₐ.

In this case we need to test whether the amount is paid after the grace period, on average, more than 4 times in 2018.

The hypothesis can be defined as follows:

H₀: μ = 4 vs. H ₐ: μ > 4

Answer:

x = 84

Step-by-step explanation:

Sum of angles around a point = 360

Sum of given angles = 132+54+90 = 132+144 = 276

So, x must cover the angle remaining from 276 to form 360, which is

360-276 = 84degrees.

Hope this helps

Answer:

84 DEGREES

Step-by-step explanation:

SO WE KNOW THAT THER IS 132 +54 DEGREES AND THAT THE 3RD ONE IS A RIGHT ANGLE

SO

132+90+54=276

360-276=84

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

                  ✌ -ZYLYNN JADE ARDENNE

Answer:

hypotenuse

Step-by-step explanation:

hypotenuse.  The length of the hypotenuse is the distance between the two given points.

Answer:

hypotenuse

Step-by-step explanation:

Answer:

5/10 or 1/2

Step-by-step explanation:

Slope is change in y over change in x. In this case every time y goes up by 5 x goes up by 10 making the slope 5/10 and if it is simplified 1/2

Answer: He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

Step-by-step explanation:

Given, In the supermarket a loaf of bread costs 37p .

To find: How many loaves can David buy with a [tex]\pounds 2[/tex] coin?

Since [tex]\pounds 1=100\text{ pence}[/tex]

Then, [tex]\pounds 2=200\text{ pence}[/tex]

Number of loaves he can buy = (Amount he has) ÷ (Cost of a loaf of bread)

= 200 p ÷ 37 p

[tex]=5\dfrac{15}{37}[/tex]

i.e. he can buy 5 loaves of bread and 15 p will be left.

Hence, He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

Answer:

ﾠﾠﾠﾠﾠﾠﾠﾠ

Step-by-step explanation:

ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ

Answer:

9/16

Step-by-step explanation:

Answer:

The answer would be zero. This is due to the fact that the tangent is a line on a point around the circle. These two circles share no common tangents.

Step-by-step explanation:

The number of the common tangent to the concentric circles is zero. Option D is correct.

Two concentric circles are given in the figure, and common tangents to the circles are to be determined.

The circle is the locus of a point whose distance from a fixed point is constant i.e center ( h, k ). The equation of the circle is given by[tex](x-h)^2 + (y-k)^ = r^2[/tex]. where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Since the line passes through the circumference of the circle is known as a tangent to the circle and the common tangent of the concentric circle is not possible because the tangent to the inner circle results secant to the outer circle.

Thus, the number of the common tangent to the circles is zero. Option D is correct.

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Answer:

FLVS ANSWR!!!!!!

Step-by-step explanation:

Group X has less variablility

Answer:

What the guy above me said.

Step-by-step explanation:

Answer:

The perimeter of the figure is: 8x + 34.

Step-by-step explanation:

The perimeter of a shape is the sum of the length of all its sides. In this case there is one side missing, we need to find its length. To do that we will have to use Pythagora's theorem, because we will create a right triangle as shown in the attached picture. Where a, b and c are the sides of the right triangle. We can determine the lengths of a and c. If we pay close attention to the figure we will realize that a is:

[tex]a = 2x + 5 - 2x = 5[/tex]

While c is:

[tex]c = 2(x + 7) - (x + 5) - (x - 3)\\c = 2x + 14 -x - 5 -x + 3\\c = 2x - 2x + 12\\c = 12[/tex]

We can now apply Pythagora's theorem:

[tex]b^2 = a^2 + c^2\\b^2 = 5^2 + 12^2\\b^2 = 25 + 144\\b = 13[/tex]

With this we can sum all the sides and calculate the perimeter of the shape.

[tex]2x + 5 + x - 3 + 2x + x + 5 + 13 + 2(x + 7)\\2x + x + 2x + x + 2x + 5 - 3 + 5 + 13 + 14\\8x + 34[/tex]

Answer:

The length of the other leg is 8.94 m.

Step-by-step explanation:

Given that,

Hypotenuse of a right triangle is 12 m

The length of the one of the legs of a right triangle is 8 m

We need to find the length of the other leg. It is based on the concept of Pythagoras theorem. Let the other leg is h. So, according to this theorem,

[tex]H^2=b^2+h^2[/tex]

H = hypotenuse = 12 m

b = base = 8 m

[tex]h^2=H^2-b^2\\\\h^2=12^2-8^2\\\\h=\sqrt{80}\\\\h=8.94\ m[/tex]

So, the length of the other leg is 8.94 m.

Answer:

x ≈ 2.3 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos55° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 )

4 × cos55° = x , thus

x ≈ 2.3 cm ( to 1 dec. place )

Answer:

yes

Step-by-step explanation:

because mercy is a semi liquid metal that is mostly used in checking high temperature of a substance .

Answer:

The base of the regular pyramid is a square.

Step-by-step explanation:

Answer:

5 in^2

Step-by-step explanation:

The area of the sector will always be proportionate to the angle in the circle.

(The area of the sector / area of the circle) is equal to( the angle of the section divided by the angle of the circle)

The total degrees of a circle is 360

(area of the sector) = (60° / 360°) * 30 in^2

Answer:

E=$19.307

Step-by-step explanation:

Total number of cards = 52

If you win then you will get $50

If you lose then you will give him $20

Therefore the probability

[tex]P(first\ card\ is\ face\ card)=\dfrac{12}{52}[/tex]

[tex]P(Second\ card\ is\ face\ card)=\dfrac{11}{51}[/tex]

[tex]P(Third\ card\ is\ face\ card)=\dfrac{10}{50}[/tex]

Thus the probability for all the three cards are face card

[tex]P=\dfrac{12}{52}\times \dfrac{11}{51}\times \dfrac{10}{50}[/tex]

P=0.0099

Thus the probability for all the three cards are not face card

P=1-0.0099=0.9901

P=0.9901

Therefore , expected value

[tex]E=20\times 0.9901-50\times 0.0099[/tex]

E=$19.307

Therefore the answer will be $19.307.

Answer:

Option 1

Step-by-step explanation:

=> [tex]\frac{1-\frac{1}{x} }{2}[/tex]

=> [tex]\frac{\frac{x-1}{x} }{2}[/tex]

=> [tex]\frac{x-1}{x} / 2[/tex]

=> [tex]\frac{x-1}{x} * \frac{1}{2}[/tex]

=> [tex]\frac{x-1}{2x}[/tex]