The corporate team-building event will cost $72 if it has 36 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $92?

Answer:

Step-by-step explanation:

Area formula:

The height is:

Substitute the value for area and set equation:

Note the second root ignored as negative

Answer:

x = 3.08  (3 s.f.)

Step-by-step explanation:

Area of a Triangle (using sine)

 [tex]\sf Area=\dfrac{1}{2}ac \sin B[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\implies 4\sqrt{2}=\dfrac{1}{2}(2x-3)(x+2) \sin 45^{\circ}[/tex]

[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \sin 45^{\circ}[/tex]

[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \left(\dfrac{\sqrt{2}}{2}\right)[/tex]

[tex]\implies 8\sqrt{2}\left(\dfrac{2}{\sqrt{2}}\right)=(2x-3)(x+2)[/tex]

[tex]\implies (2x-3)(x+2) =16[/tex]

[tex]\implies 2x^2+4x-3x-6=16[/tex]

[tex]\implies 2x^2+x-22=0[/tex]

Use the Quadratic Formula to solve for x:

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

[tex]\implies a=2, \quad b=1, \quad c=-22[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{1^2-4(2)(-22)} }{2(2)}[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{177}}{4}[/tex]

[tex]\implies x=3.08, -3.58\:\: \sf (3 \:s.f.)[/tex]

As distance is positive:

[tex]\implies x=3.08 \:\:(3 \sf \:s.f.) \:\textsf{only}[/tex]

Answer:

Step-by-step explanation:

h = 3 ft

l*b = 25 sq.ft

Volume = l*b *h

             = 25 * 3

             = 75 cubic feet

Answer:

75ft

Step-by-step explanation:

First you mupilply  [tex]25 x 3 = 75ft[/tex]

and that is it.

Answer:

Step-by-step explanation:

28350, two thousand and eight, three hundred and fifty

Answer:

28350

Step-by-step explanation:

Answer:

8.75 dollars per ticket

Step-by-step explanation:

Answer: 8.75 dollars per ticket

Step-by-step explanation:

Answer:

Isosceles triangle

Step-by-step explanation:

An isosceles triangle is a triangle with 2 equal sides, and in this given figure, we can see that it has been marked to show us that two sides are equal, so isosceles is the answer.

Answer:

isosceles triangle

Step-by-step explanation:

From the picture, we know that two sides are equal.

If two sides are equal, then it is an isosceles triangle

Answer:

[tex]\frac{9}{39}[/tex]

Step-by-step explanation:

Multiply the two denominators together and the two numerators:

[tex]\frac{8}{13} * \frac{2}{6} = \frac{8 * 2}{13 * 6}[/tex]

[tex]= \frac{16}{78}[/tex]

Divide both numbers by two to simplify:

[tex]\frac{18 / 2}{78 / 2} = \frac{9}{39}[/tex]

So the simplest form is:

[tex]\frac{9}{39}[/tex]

Hope this helps!

Answer:Slope is 2, assuming "0,0 and 2,4" is meant to read (0,0) and (2,4) for the 2 points.

Step-by-step explanation:

The slope is the Rise (change in y) over the Run (change in x).  I can see the change in y is 4 (it goes from 0 to 4) and the change in x for this interval is 2 (goes from 0 to 2, or 2-0 = 2).  Rise (4) over Run (2) is slope 2.  4/2 = 2 slope.

Answer:

[tex] < [/tex]

Step-by-step explanation:

[tex] < [/tex]

Answer:

First part = 2.

Time to land = 6 seconds.

Step-by-step explanation:

The object is at h = 0 when it land so

-5x^2 + 20x + 60 = 0

-5(x^2 - 4x)  = -60

-5[(x - 2)^2 - 4] = -60

(x - 2)^2 - 4 = -60/-5 = 12

(x - 2)^2 = 16.

Solving the above:

Take the square root of both sides:

x - 2 = 4

x = 2 + 4

x = 6 seconds

Answer:

3/4 I think its that

Step-by-step explanation:

its a guess

Answer:

Perimeter = 36m

Step-by-step explanation:

Area = l x w

65m = 13m x w

5m = w

Perimeter = 2(l + w)

Perimeter = 2(13m + 5m)

Perimeter = 36m

Answer:

36m

Step-by-step explanation:

The equation for the area of a rectangle is A = w*l, where w = width and l = length

Since we already have the area and the width, we can plug those values into the equation to find the width (w)

A = w*l

65 = w*13

we can divide both sides by 13 to isolate the w variable, and we get that

w = 5

The equation for the perimeter of a rectangle is

P = 2(l +w)

P = 2(13 +5)

P =36

The perimeter is 36m

Answer: Multiply the second equation by -2

Explanation:

The elimination method requires you to set one variable in an equation to be the opposite of that variable in another equation.  As such, due to the presence of 2x in the top equation, you need -2x in the bottom.  Then, simply add the equations to get the answer.

Hope it helps :)

Step-by-step explanation:

300+200+200 = 700.

so simple

hope this helps you.

Answer:

I'm pretty sure it's True

Step-by-step explanation:

Congruent triangles are triangles that are the same shape and size. Each triangle has the numbers 71, 47, 62 so I'm assuming the answer is True

Hope that helped! Can I also get brainliest? I need a few more to advance, if not thank you anyways and have a nice day!!!

Answer:

3.25*10^-10(is.3.25E−10)

3.25x10^-9

Hope it helps!

~Just a joyful teen

[tex]GraceRosalia :)[/tex]

Answer:

y < (2 - 3x)/2.

Step-by-step explanation:

(3x+2y)<2

2y < 2 - 3x

y < (2 - 3x)/2

Answer:

4 hours

Step-by-step explanation:

It take them 1.5 h ÷ 0.5 h to chop down 1 tree, so it would take 0.5 h × 8 = 4 hours to chop down 8 trees

Answer:

4:27

Step-by-step explanation:

a guess jebeiiwhjsjshwiid

Step-by-step explanation:

that only know

Answer:

Step-by-step explanation:

A-Reflection

B-Translation

C-Rotation

D- Glide Reflection

Answer:

[tex]P(x)=x^{5} +x^{4} -5x^{3} +3x^{2}[/tex]

Step-by-step explanation:

Each root corresponds to a linear factor, so we can write:

[tex]P(x)=x^{2} (x-1)^{2} (x+3)\\=x^{2} (x^{2} -2x+1(x+3)\\\\=x^{5} +x^{4} -5x^{3} +3x^{2}[/tex]

Any polynomial with these zeros and at least these multiplicities will be a multiple (scalar or polynomial) of this [tex]P(x)[/tex]

Footnote

Strictly speaking, a value of [tex]x[/tex]  that results in [tex]P(x)=0[/tex] is called a root of  

[tex]P(x)=0[/tex] or a zero of [tex]P(x)[/tex] . So the question should really have spoken about the zeros of [tex]P(x)[/tex]  or about the roots of [tex]P(x)=0[/tex]

Answer:

I think this is it 61.33

Have a blessed day <333

Step-by-step explanation:

Answer:

5.25 miles.

Step-by-step explanation:

1) Rosa spends 10 minutes in 3/4=0.75 miles, then

2) Rosa can spend 70 in 0.75*7=5.25 miles.

Answer:

5.3 miles

Step-by-step explanation:

3miles/40min =x miles/70min

cross multiply the fractions

3*70 = 40*x

210=40x

divide by 40 on both sides

210/40 = 5.25

1. (x - y) (x² + xy + y²)

= (X )x² + (X ) xy + (y) y²

= ( x^3)- x²y + x²y - xy² +(xy^2) - y³

= x³ -y^3

Here is your answer !

Plz mark me brainest

Answer:

they are correct

Step-by-step explanation:

Answer:

317m

Step-by-step explanation:

I am not sure its the perimeter (p) you need because thats what i understood.

p=2(109.7)+2(48.8)=317m

Answer:

it would be:

Step-by-step explanation:

: 14 + 14 + 14 =?

:?=42°