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A right rectangular pyramid when sliced vertically, the  shape of the cross-section is known as Triangle.

This is known to be a kind of shape that is said to be in  a closed form and it is also known to be a 2-dimensional shape that has 3 sides, 3 angles, and also 3 vertices.

Note that when the when the right rectangular pyramid is sliced vertically (down) by a plane passing through the  of the pyramid, the new shape of the cross-section is a triangle.

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A right rectangular pyramid is sliced vertically (down) by a plane passing through the  of the pyramid. What is the shape of the cross-section?

A. Rectangle

B. Pyramid

C. Triangle

D. Trapezoid

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Answer:

y = 45,121,040×1.027^t

Step-by-step explanation:

An exponential growth equation is generally of the form ...

 value at time t = (initial value)(growth factor)^t

where the growth factor is the multiplier for a period equal to one time unit.

Here, the initial value (in 2014) is 45,121,040. The growth factor is given as 1.027 (2.7% added per year), and we can define t as the number of years after 2014. Then our equation is ...

 y = 45,121,040×1.027^t . . . . where t = years after 2014

Answer:

$16 dollars because I got it right

-5(y+2)=25

y+2=25 ÷(-5)

y+2= -5

y= -5-2

y=7

Answer:

91

Step-by-step explanation:

9x8-7+4x10-2x7

72-7 + 40- 2x7

72 - 7 + 40 - 14

65 + 40 - 14

105 - 14

= 91

Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130

GCF of 52 and 130 is 26

I found a similar question here so that's what I can only tell you. I hope it will help you.

Answer: 90

Step-by-step explanation:

Based on the height the yard dart is thrown from, the inital velocity, and the elevation angle, the length of time the dart is in the air is 1.6 seconds.

This can be solved using a projectile motion calculator which can show you the velocity of the dart and the time it spent in the air.

Plugging in the given values above, we find that the yard dart spent a total of:

= 1.6 seconds in the air

In conclusion, option D is correct.

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Answer:

Median: 11

Range: 12

25th Percentile: 9

75th Percentile: 14

Interquartile Range: 5

Step-by-step explanation:

The median is the line in the 'middle' of the box. The range is the largest number minus the smallest number. 25th Percentile is the first line of the box, 75th is 3rd line. IQR is the 75th Percentile - 25th Percentile.

Hope this helps! :)

Answer:

Step-by-step explanation:

It's a combine function (Alike signum function)

Which is given by

[tex]\\ \rm\Rrightarrow f(x)=\begin{cases}\sf 3x,x<3\\ \sf 2x,x>3\end{cases}[/tex]

Find some points

Graph attached

Red line is 2x and blue one is 3x

Answer:

l=5.1in

r=2.4in

Step-by-step explanation:

size increase of 50% so just add (+50%) to both existing values

Answer:

90

Step-by-step explanation:

60 kmhr for an hour and a half

i hour 60 km

half hour 30 km

60 + 30 =90

The chords ac and db are intersecting chords, and the length of line segment db is 16 units

The given parameters are:

ah = 20 - x

hb = 12 - x

dh = x + 4

hc = x

Start by calculating the value of x using the following intersection chord equation

ah * hc = dh * hb

So, we have:

(20 - x) * x = (x + 4) * (12 - x)

Solve for x

x = 4

The length of segment db is calculated using:

db = dh + hb

So, we have:

db = x + 4 + 12 - x

Substitute 4 for x

db = 4 + 4 + 12 - 4

Evaluate

db = 16

Hence, the length of line segment db is 16 units

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Answer:

c

Step-by-step explanation:

Answer:

18.43 units

Step-by-step explanation:

132/360 cause 360 degrees in circle

π4^r=area of totoal

16π= area

16π*132/360=18.4306769011

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

u know that the left triangle is not a right angles triangle so u cannot do Pythagoras and 27 is the other bottom side meaning that the length of the left triangle base is 20.25

a) The infinite series in sigma notation is described by this expression:

[tex]y = \sum \limits_{i=1}^{\infty} \frac{1}{i\cdot (i+2)}[/tex]     (1)

b) The explicit formula for the n-th partial sum is represented by the following expression:

[tex]y = \frac{1}{i\cdot (i+2)}[/tex], i ∈ [tex]\mathbb{N}[/tex]     (2)

An infinite series is monotonous when it is bounded, that is, when the limit of the infinite series exists. In this case, we have an evidence of monotony in the denominators of the terms of the given series. In two consecutive terms, the latter always have a denominator greater than the former.

a) The series in sigma notation is now described below:

[tex]y = \sum \limits_{i=1}^{\infty} \frac{1}{i\cdot (i+2)}[/tex]

b) The explicit formula for the n-th partial sum is defined by the expression within the sum, which is now presented below:

[tex]y = \frac{1}{i\cdot (i+2)}[/tex], i ∈ [tex]\mathbb{N}[/tex]  

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Answer:

$73.80

Step-by-step explanation:

First we will find Kevin's hourly wage. We can do this by dividing his total pay by the number of hours he worked.

$492 / 20 hours = $24.60/hour

Now we can find how much he will make the next week.

$24.60/hour * 3 hours = $73.80.

That is your answer

- Kan Academy Advance

Check the picture below.

now, we're making an assumption that, the two blue shaded region are equal in shape, and thus if that's so, that area above the 14 is 6 and below it is also 6, 14 + 6 + 6 = 26.

so hmm if we simply get the area of the trapezoid and subtract the area of the yellow triangle and the area of the cyan triangle, what's leftover is what we didn't subtract, namely the shaded region.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=14\\ b=26 \end{cases}\implies A=\cfrac{15(14+26)}{2}\implies A=300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{trapezoid}{300}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(26)(9)}~~ - ~~\stackrel{cyan~triangle}{\cfrac{1}{2}(15)(6)}} \\\\\\ 300~~ - ~~117~~ - ~~45\implies 138\qquad \textit{blue shaded area}[/tex]

Answer:

Kale, 1 carrots, 4 sweet potatoes, 3, beets, 2

Step-by-step explanation:

um just round

P.S. Iready sucks

Answer:

Kale ; 1(oz)

Carrots; 4(oz)

Sweet Potatoes; 4(oz)

Beets; 2(oz)

Step-by-step explanation:

       Kale              \          1.35                ⇒    1(oz)

    Carrots            \         3.50                ⇒   4(oz)

Sweet potatoes   \         3.81                ⇒   4(oz)

      Beets              \        2.29                ⇒   2(oz)

Answer:

Answer:

A

Step-by-step explanation:

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Step-by-step explanation:

Answer:

Angle 4 and 5 are both obtuse angles. There measurements are greater than 90 degrees and less than 180 degrees. Angle 4 and 5 could be either a 120 degree angle or a 130 degree angle.

Answer:

x=11

y=9

Step-by-step explanation:

place both and solve for x and y.

Answer:

It has a minimum of -3 and a unkown maximum

Step-by-step explanation:

8 × 6 = 8 × (5 + 1)

… = (8 × 5) + (8 × 1)

… = 40 + 8

… = 48

Answer:

M=-10/4

M=-5/2

-5/4+m=-15/4

Step-by-step explanation:

Original equation:

3/4+m=-7/4

=-5/2

the other answers mentioned above is also -5/2

Hope that helps!

If Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is D. 441 shares.

A dividend is the distribution of cash or stock that a company makes to its stockholders periodically.

Dividends are usually based on a dividend payout ratio, determined by the Board of Directors of the company.

                                       Dowc Beverage Co.     Agram Imports

Dividend per share                 $6.52                               $5.15

Number of shares                    x                                     x+ 86

Number of shares                 355 (441 - 86)                  441 (355 + 86)

Total dividend received      $2,314.60 ($4,585.75 - $2,271.15))  $2,271.15

which is equivalent to $2,314.60 ($355 x $6.52)

Assuming total shares from Agram Imports to be 441, the total dividends will be $2,271.15 ($5.15 x 441), and, the dividend from Dowc Beverage Co. will be $2,314.60 and the number of shares will be 355 ($2,314.60/$6.52), which is 86 less than the shares in Agram Imports.

Thus, if Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is D. 441 shares.

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Answer:

tan65=?/7

7*tan65=?

=15.0115