1 in : 3 ft the center is 45 feet long and 28 feet wide

Answer:

a) 677,040 b) 17,160

Step-by-step explanation:

a) this is a combinations problem as it deals with selection, rather than order. you can use a calculator to solve this:

there are 65 objects (colors) taken 4 at a time

(see photo)

there are 677,040 possible ways to arrange the boxes.

b) unlike question a, this is a permutation. the order matters.

since Ali can only visit the cities once, you must multiply by decreasing values starting from 13 down to 10 (4 "slots" for the 4 days)

13*12*11*10 = 17,160 possiblities

Answer:

1

Step-by-step explanation:

So what is slope?

Slope is the change in y over the change in x.

You find the change in y and x when you compare two points on the line.

In this case, lets chose the two points they give us:

(1, -4) and (6, 1)

What is the difference of y? That looks like 5(1+4) or (1--4).

What is the difference of x? That looks like 5(6-1=5)

So we can tell the slope is y/x, or 5/5.

This can simpfly to 1.

So 1 is your slope!

Answer:

1803 square meter

Step-by-step explanation:

The surface area of a cone

A=πr(r+V(h2+r2))

where A is the surface area, r is the radius and h is the height

Given that the height of 54 meters and a diameter of 18 meters, the radius is half the diameter hence

radius = 18/2 = 9 m

A = 9π (9 + V(54^2 + 9^2))

= 9π (9 + V2997)

= 9π (9 + 54.74486)

= 1803.068976 Square meters

To the nearest square meter

A = 1803

Answer:

-2x =-42+12

-2x =-30

x =15

3x=15×3

=45

Answer:

188 wrestlers

Step-by-step explanation:

Given

[tex]F =5w + 75[/tex]

[tex]F = 1013[/tex]

Required

Determine the number of wrestlers (w)

We have:

[tex]F =5w + 75[/tex]

Substitute: [tex]F = 1013[/tex]

[tex]1013 = 5w + 75[/tex]

Collect like terms

[tex]5w = 1013 - 75[/tex]

[tex]5w = 938[/tex]

Divide both sides by 5

[tex]w = 187.6[/tex]

Round up to get the number of wrestlers

[tex]w = 188[/tex]

Question:

What’s the volume ?

Answer:

Volume: 8663.2

Area : 392

Step-by-step explanation:

The formula for volume is length times width times height (L x W x H)

So

28 x 28 = 784 x 22.1 = 17326.4 (Crazy right) But this is not the answer. A triangle is half of a Square so we divde by 2

17326.4 / 2 = 8663.2

The Volume is 8663.2

And if you are looking for the Area it's 392

Answer:

A and B

Step-by-step explanation:

A secant is a line which intersects a circle at 2 points

SU and RT both intersect the circle at 2 points and are secants

Answer:its SU

Step-by-step explanation:

ITS THE ONLY CORRECT ANSWER YALL

Answer:

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Answer:

The second option is correct.

Step-by-step explanation:

This is because when multiplied, they all equal the same number.

3*6 = 18

6*3 = 18

9*2 = 18

18*1 = 18

Answer:

The length of the hypotenuse is the square root of 169, which in turn is 13.

Step-by-step explanation:

Here we have a right triangle with leg lengths 12 m and 5 m.  Because this is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.

The Theorem states that a^2 + b^2 = c^2.  In this particular case,

(12 m)^2 + (5 m)^2 = c^2

which in turn becomes:

144 + 25 = 169.  The length of the hypotenuse is the square root of 169, which in turn is 13.

Given:

The first four terms of a sequence are:

8, 5, 2, -1

To find:

The function that defines the given sequence.

Solution:

We have,

8, 5, 2, -1

The differences between two consecutive terms are:

[tex]5-8=-3[/tex]

[tex]2-5=-3[/tex]

[tex]-1-2=-3[/tex]

The given sequence has a common difference -3. It means the given sequence is an arithmetic sequence with first term 8 and common difference -3.

The nth terms of an arithmetic sequence is:

[tex]f(n)=a+(n-1)d[/tex], for [tex]n\geq 1[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=8,d=-3[/tex], we get

[tex]f(n)=8+(n-1)(-3)[/tex]

[tex]f(n)=8-3(n-1)[/tex]

[tex]f(n)=-3(n-1)+8[/tex], for [tex]n\geq 1[/tex]

Therefore, the correct option is A.

Answer:

x = 8

Step-by-step explanation:

x-7=1

Add 7 to each side

x-7+7 = 1+7

x = 8

Answer:

x= 8

Step-by-step explanation:

collect like terms

x= 7+1

x= 8

Answer:

Square root of 3 upon 5:

√3÷5

= 0.3464101615137

≈ 0.35 (corrected to 2 decimal places)

The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

As per the given,

cos(2x)/ [cos(x)-sin(x)]

Since, cosx = cos²x - sin²x

cos(2x)/ [cos(x)-sin(x)]  = (cos²x - sin²x)/[cos(x)-sin(x)]

Since, A² - B² = (A + B)(A - B)

(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]

⇒cos(x) + sin(x)

Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".

For more information about the trigonometric function,

https://brainly.com/question/14746686

#SPJ2

Answer:

D

Step-by-step explanation:

2f(x+1)-0 = 2f(x+1). The lowest point of the function is (1, 0), which matches up with the equation. No other equation has this coordinate as the lowest point, therefore it can only be D

Answer:

1230.88

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = (3.14) * (7)^2 * 8

V = 3.14 * 49*8

V =1230.88

Answer:

116

Step-by-step explanation:

180-28=152

152-36=116

[tex]\huge{ \mathbf{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .

Given terms ( common for each cylinder ) :

[tex] \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}[/tex]

Since volume of each cylinder is equal, so total volume of six cylindrical post :

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[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

x = 0   or   x = - 16

Step-by-step explanation:

16+x^2=0

x ( x + 16 ) = 0

using the algebra rule a . b = a = 0 and b = 0

x = 0    or   x = - 16

so the answer is  x = 0 and x = -1 6

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Answer:

The initial height of the ball before launch is 393.12 feet.

Step-by-step explanation:

The ball's height ([tex]h[/tex]), in feet, as a function of time ([tex]t[/tex]), in seconds, is represented by [tex]h(t) = -16\cdot t^{2}+153.6\cdot t + 393.12[/tex]. The initial height of the ball before launch is the height of the ball evaluated at [tex]t = 0\,s[/tex]:

[tex]h(0) = -16\cdot (0)^{2}+153.6\cdot (0) + 393.12[/tex]

[tex]h(0) = 393.12\,ft[/tex]

The initial height of the ball before launch is 393.12 feet.

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{f}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

f = 24

----------------------------------------------------------------

Using the cosine ratio and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{e}{f}[/tex] = [tex]\frac{e}{24}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2e = 24[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

e = 12[tex]\sqrt{3}[/tex]

Answer:

F=24 and e=12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

y<-12

Step-by-step explanation:

-3y>36 divide both sides of the inequality by -3 and flip the inequality sign

-3y÷(-3)<36÷(-3) any expression divided by itself equals 1

y<36÷(-3) which equals to y<-12

Answer:

hope this helps <33

Step-by-step explanation:

2(2n^2+n=6)

Answer:

$864.88

Step-by-step explanation:

(1. $600 + $49.50 = $649.50

(2. $200 + $15.38 = $215.38

$649.50 + $215.38 = $864.88

A = $864.88