Which of the following is a rational number? (5 points)
22, 23, 24, 25
оа
22
Oь
V24
d
25

Answer:

  a.  39 ft²

  c. 2x² +11x +12

  e. 35 yd²

Step-by-step explanation:

The missing vertical dimension is 5-3 = 2'. The missing horizontal dimension is 11-8 = 3'. Then the figure can be decomposed into a rectangle 11'×3' and one that is 3'×2'. The sum of those areas is ...

  total area = (11 ft)(3 ft) +(3 ft)(2 f) = (3 ft)(11 +2 ft) = (3 ft)(13 ft) = 39 ft²

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We don't know what to make of the rectangles in each corner, so we'll assume they are distorted right-angle indicators. The area is the product of the dimensions shown:

  A = LW

  A = (2x +3)(x +4) = 2x² +11x +12 . . . area of figure

__

The shaded area is half the area of the rectangle. That is the same area you get if you use the triangle formula for the area of the shaded triangle.

  A = 1/2(14 yd)(5 yd) = 35 yd²

Answer:

  SAS similarity

Step-by-step explanation:

You have two side ratios and the angle between the sides with those ratios. The appropriate similarity theorem is SAS.

slope:change in x\change in y

Answer: bro I don’t if this is correct but try 11+3i

Answer:

559

Step-by-step explanation:

Answer:

y=5/4x -7

Step-by-step explanation:

Hope this helps!

Answer:

Width=6 5/6cm and Length=13 2/3cm

Step-by-step explanation:

Lets have width=x

Therefore, 4x+2x=41cm

6x=41cm

x=41/6=6 5/6

the width is 6 5/6 cm and length 41/3=13 2/3

Answer:

[tex]Fourth \: option: y^2=9^2+19^2-2(9)(19) cos(41°)[/tex]

[tex]The \: law \: of \: cosines \: to \: solve \: for \: one \: side  \: is:[/tex]

[tex]c^2=a^2+b^2-2ab \: cos \: C[/tex]

We must know the other two sides (a and b) and the angle between these sides (angle C, the opposite to the side that we want to determine)

In this case c=y, a=9, b=19, and C=41°, then:

[tex]y^2=9^2+19^2-2(9)(19) \: cos \: (41°)[/tex]

Answer:

width(w)= 20inches

Step-by-step explanation:

solution,

given,

perimeter of a rectangle (P)=68inches

length of rectangle= 14 inches

we know,

perimeter of a rectangle=2L + 2W

or,68=2×14+2×w

or,68-28=2w

or,40=2w

or,w=40÷2

or,w=20inches.

Answer:

Step-by-step explanation:

$92.43 / 0.74 = $124.91

The total bill is equal to $124.9

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here, the given bill as 74% of the total bill as $92.43

Thus the total bill must be = 92.43×100/74

                                            = $124.9

Hence, The total bill is equal to $124.9

Learn more about percentages here:

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is 1.25 because you just add them together

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{3})~\hspace{10em} \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{7}(x-\stackrel{x_1}{6}) \\\\\\ y-3=7x-42\implies y = 7x-39[/tex]

Answer:

[tex]y-3=7(x-6)[/tex]

Step-by-step explanation:

We are given that a line has a slope (m) of 7 and passes through the point (6,3).

We want to write the equation of this line.

There are three ways to do it:

As the question doesn't specify, either form should work, but let's write the equation in point-slope form as that's the easiest to do.

As we are already given both the point and the slope, we can plug them both into the equation.

Starting with the slope, substitute 7 for m.

[tex]y-y_1=7(x-x_1)[/tex]

Now, substitute 6 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex].

[tex]y-3=7(x-6)[/tex]

Answer:

$225

Step-by-step explanation:

$120 for 2 4-hour shifts, $120 in 8 hours

$15 every 1 hour

Money for 15 hours: 15 x 15 = $225

The office clerk earns $225 for 15 hour of work .

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

According to the question

An office clerk earns $120 for two 4-hour work shifts.

i.e

In 2 * 4-hour work shifts office clerk  earns = $120

or

In 8 hour work shifts office clerk earns = $120

Now ,

By using unitary method

In 1 hour  work shifts office clerk earns = $[tex]\frac{120}{8}[/tex]

                                                                = $15

Therefore, for 15 hours of work shifts office clerk earns =  $15 * 15

                                                                                          = $225

Hence, The office clerk earns $225 for 15 hour of work .

To know more about unitary method here:

https://brainly.com/question/23423168

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Answer:

Yes Jeff is the correct answer

Step-by-step explanation:

We have:   2log₃(8) - 3log₃(2) = 2log₃(8) - log₃(2³)

= 2log₃(8) - log₃(8) =  log₃(8)

= 1,892789261 ≈ 1,9

ok done. Thank to me :>

Answer:

~1.8928 or 3log_3 (2)

Step-by-step explanation:

change 8 to 2^3 and move to front

=2*3log_3 (2) -3log_3 (2)

=6log_3 (2) -3log_3 (2)

with subtraction

=3log_3 (2)

approx with calculator

~1.8928

Answer: He has 91, to figure this out count everything in top row which is 13 and then count everything in left row only which is 7 and 13 x 7 is 91

Step-by-step explanation:

The equation has the same solution as w / 3.9 = 3 is w+0.6=1.9

Given:

w / 3.9 = 3

cross multiply

w × 3 = 3.9

3w = 3.9

divide both sides by 3

w = 3.9 / 3

w = 1.3

Check all that applies

A. w+0.6=1.9

w = 1.9 - 0.6

w = 1.3

B. w-0.6 = 11.1

w = 11.1 + 0.6

w = 11.7

C. w+1.03=2.93

w = 2.93 - 1.03

w = 1.9

D. w-1.03=8.24

w = 8.24 + 1.03

w = 9.27

Therefore, the equation has the same solution as w / 3.9 = 3 is w+0.6=1.9

Learn more about equation:

https://brainly.com/question/2972832

Answer:

5/9

Step-by-step explanation:

Answer:

28ft tall

Step-by-step explanation:

Since they are proportional, you can set up a ratio of length to width.

L/W=L/W

42/54=L/36

L=(42*36)/54

L=28

Answer:

so where does that line intersect the y axis? just plug in x=0 and you see y= -1. so (0, -1)

y = -x -1 is parallel because it has the same slope and goes through the right point

Check the picture below.

there are a few angles shaded, I'll call that angle at O ∡O, and that angle at "x" ∡x and the green angle at A, ∡A, and the angle at B, ∡B, just so you know which angle we're referring to.

well, first off let's notice that B and C are points of tangency, meaning we get right-angles as you see in the picture, if we run an angle bisector from ∡x, towards point O, we get two congruent triangles, lemme shorten that up some, 90 + 90 + ∡O +∡x = 360, which means that ∡O + ∡x = 180,  meaning that ∡O = 180 - ∡x, if that's so, the angle at point O across the shade, is 360 - ∡O or 360 - (180 - ∡x).

alrighty, by the inscribed angle theorem, ∡A is half of ∡O.

let's now focus on the triangle AOB, we'll be using half of ∡A and half of ∡O and ∡B on that triangle, let's proceed.

[tex]\measuredangle x + \measuredangle O=180\implies \measuredangle O=180-\measuredangle x \\\\\\ \measuredangle A = \cfrac{\measuredangle O}{2}\implies \measuredangle A = \cfrac{180-\measuredangle x}{2} \\\\\\ \stackrel{\textit{the angle across from }\measuredangle O~is}{360-\measuredangle O}\implies 360-(180 - \measuredangle x)\implies 180+\measuredangle x \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{\large the sum of all three angles at }\triangle AOB}{\stackrel{\textit{half of }\measuredangle A}{\cfrac{1}{2}\cdot \cfrac{180-\measuredangle x}{2}}~~ + ~~\stackrel{\textit{half the angle across from }\measuredangle O}{\cfrac{180+\measuredangle x}{2}}~~ +~~\measuredangle B~~ =~~180} \\\\\\ \cfrac{180-\measuredangle x}{4}+\cfrac{180+\measuredangle x}{2}+\measuredangle B = 180[/tex]

now, let's multiply both sides by the LCD of all denominators, hmmmm in this case that'll be 4, so multiplying both sides by the LCD will do away with the denominators, so let's do so.

[tex]4\left( \cfrac{180-\measuredangle x}{4}+\cfrac{180+\measuredangle x}{2}+\measuredangle B \right) = 4(180) \\\\\\ (180-\measuredangle x)+2(180+\measuredangle x)+4\measuredangle B = 720 \\\\\\ (180-\measuredangle x)+(360+2\measuredangle x)+4\measuredangle B = 720\implies 540+\measuredangle x+4\measuredangle B = 720[/tex]

[tex]\measuredangle x+4\measuredangle B = 180\implies 4\measuredangle B = 180-\measuredangle x\implies \measuredangle B = \cfrac{180-\measuredangle x}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \measuredangle B = 45 - \cfrac{\measuredangle x}{4}~\hfill[/tex]

Answer:

it correct because i took this before

Check the picture below.

so then γ ≈ 180 - 69 - 43, γ ≈ 68.

Answer:it's a for sure I think

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Explanation:

A buying incentive is anything that encourages any potential customers to become actual customers. Ideally, those people are repeat customers down the road as well (even if such buying incentives are no longer in place).

If someone sees a coupon or a rebate, then they'll be more likely to buy the item since the price is lower. A coupon is an immediate discount right on the spot, whereas a rebate is when you get a discount later on. A rebate means you have to mail in proof of purchase, and the company will send money back. These are two ways to apply a discount.

A third way to entice customers is to offer prizes. An example of this is a "buy one get one" sale (often abbreviated as BOGO). The company may lose money doing this, but they do so in the hopes of gaining new customers. Plus word of mouth tends to spread more often when such sales occur.

With everything discussed so far, this allows us to rule out choices A, C and D. They are all some kind of way to encourage potential buyers. Choice B is the answer because a display simply shows the price and any other relevant info to the product. Displays are neutral in the sense that they don't encourage a purchase and rather just convey information. When I mention this, I'm not talking about displays that advertise discounts or coupons.

Answer:

rthrthrt

Step-by-step explanation: