is planetarium showing programs about the night sky has a shape of a hemisphere. The diameter of the planetarium is 50 ft what is the volume to the nearest cubic foot of the planetarium use 3.14 for pi ​

Part of the value of sin(u) is cut off; I suspect it should be either sin(u) = -5/13 or sin(u) = -12/13, since (5, 12, 13) is a Pythagorean triple. I'll assume -5/13.

Expand the tan expression using the angle sum identities for sin and cos :

tan(u + v) = sin(u + v) / cos(u + v)

tan(u + v) = [sin(u) cos(v) + cos(u) sin(v)] / [cos(u) cos(v) - sin(u) sin(v)]

Since both u and v are in Quadrant III, we know that each of sin(u), cos(u), sin(v), and cos(v) are negative.

Recall that for all x,

cos²(x) + sin²(x) = 1

and it follows that

cos(u) = - √(1 - sin²(u)) = -12/13

sin(v) = - √(1 - cos²(v)) = -3/5

Then putting everything together, we have

tan(u + v)

= [(-5/13) • (-4/5) + (-12/13) • (-3/5)] / [(-12/13) • (-4/5) - (-5/13) • (-3/5)]

= 56/33

(or, if sin(u) = -12/13, then tan(u + v) = -63/16)

Answer:f θ =2sin θ + square root of 3.

Step-by-step explanation: I think this is right

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(160)(20)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(90)(120)}}\implies 3200~~ + ~~5400\implies 8600[/tex]

Answer:

6

out of the total donuts (90), Ryan ate 12 cream filled donuts. 45 is half of that, therefore he should eat half the cream filled donuts

The calculation that represents the cost of 2 dozen iris bulbs is ($5 * 6) + ($4 * 6) + ($3 * 12)

An equation is an expression that shows the relationship between two or more variables and numbers.

The cost of 2 dozens of iris bulbs is given by the equation:

Cost = ($5 * 6) + ($4 * 6) + ($3 * 12)

The calculation that represents the cost of 2 dozen iris bulbs is ($5 * 6) + ($4 * 6) + ($3 * 12)

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Answer:

  [tex]\left[\begin{array}{ccc}-3&3&3\\3&6&3\end{array}\right][/tex]

Step-by-step explanation:

Reflection over the line y=x is described by the transformation ...

  (x, y) ⇒ (y, x)

The corresponding transformation matrix is ...

  [tex]\left[\begin{array}{cc}0&1\\1&0\end{array}\right][/tex]

When this left-multiplies the given coordinate matrix, the result is the one shown above.

Answer:

What is the question You are just stateing facts?

Step-by-step explanation:

Answer:

Option D, [tex]121x^2 + 100x + 25[/tex]

Step-by-step explanation:

Step 1:  Determine the one that is not a perfect square

Factor Option A

[tex]64x^2 + 48 + 9[/tex]

[tex](8x + 3)(8x + 3)[/tex]

[tex](8x + 3)^2[/tex]

Factor Option B

[tex]25x^2 + 70x + 49[/tex]

[tex](5x + 7)(5x + 7)[/tex]

[tex](5x + 7)^2[/tex]

Factor Option C

[tex]100x^2 + 60x + 9[/tex]

[tex](10x + 3)(10x + 3)[/tex]

[tex](10x + 3)^2[/tex]

Factor Option D

[tex]121x^2 + 100x + 25[/tex]

Cannot factor this equation with rational number

Answer:  Option D, [tex]121x^2 + 100x + 25[/tex]

Answer:

A

Step-by-step explanation:

If 50 is the diameter that thr radius is 25 and the equation to find the area of a circle is pi(r^2). So you would do pi(25^2) and that is 1963

Answer:

answer attached

Step-by-step explanation:

just solve them out

The expressions to the correct function combination is (f. g)(x).

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

f(x) = 12 - 61 – 27

g(t) = 1 - 9

Now,

To match the expressions to the correct function combinations, you can substitute the values of f(x) and g(t) into the expressions and simplify. For example:

( + 5)() = (f(x) + 5)(g(t))

( + 5)() = ((12 - 6x - 27) + 5)(1 - 9t)

( + 5)() = (17 - 6x)(1 - 9t)

( + 5)() = 17 - 153t - 6x + 54xt

Therefore, by the given equation the answer will be (f. g)(x).

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The probability that a flight departed on time given that it arrives is 0.92

The conditional probability of event B occurring giving that event A has occurred is expressed as

P(B|A) = P(A and B)/P(A)

Given the following parameters

P(A and B) = The probability that a flight departs and arrives on time = 0.84

P(A) = The probability that an airplane flight departs on time = 0.91

P(B | A) = 0.84/0.91
P(B | A) = 0.92

Hence the probability that a flight departed on time given that it arrives is 0.92

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Answer:

[tex] \hookrightarrow \sf \bold{ - \frac{1}{2} }[/tex]

Step-by-step explanation:

⇢ [tex] \bold{5x+5=3x+4} [/tex]

⇢ - 3x + 5x = 4 - 5

⇢ 2x = -1

⇢ 2x/2.= -1/2

⇢ x = -1/2

5x+5=3x+4

5x-3x=4-5

2x=-1

2x/2=-1/2

x=-1/2

The rule for the height of the tree during the nth month will be an = 83 + 1.5(n – 1). The correct option is A.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that in the third month of the study, a sugar maple tree is 86 inches tall. In the seventh month, the tree is 92 inches tall.

For option A satisfy the equation for n = 3 and n = 7,

an = 83 + 1.5(n – 1)

a₃ = 83 + 1.5(3 – 1)

a₃ = 83 + 3

a₃ =86

a₇ = 83 + 1.5(7– 1)

a₃ = 83 + ( 1.5 x 6 )

a₃ = 83 + 9

a₃ = 92

Therefore, the rule for the height of the tree during the nth month will be an = 83 + 1.5(n – 1). The correct option is A.

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Answer:

1,4,7 1,74. 4,7,1 ,4,1,7 ,7,4,1

Answer:

x = -1/7

Step-by-step explanation:

3/5x + 5 = 4/5

3/5x + 5/1 = 4/5

3 + 25x/5x = 4/5

4(5x) = 5(3 + 25x)

20x = 15 + 125x

-15 = 125x - 20x

-15 = 105x

-15/105 = x

-1/7 = x

Answer:

[tex]\frac{27}{38}[/tex]

Step-by-step explanation:

P (Srawberry or Cherry)

= [tex]\frac{23 + 4}{38}[/tex]

= [tex]\frac{27}{38}[/tex]

I hope this help out.

5.25 g

Step-by-step explanation:

The half-life of a radioactive substance is the amount of time it takes for half the mass of the substance to decay.

In this question no calculations are required to get half-life. This is because it is given that it took 3 years for the 14g to halve to 7g.

To find amount of the substance after a further 4 years, we’ll use the formula;

Final amount = initial amount / 2ⁿ

Where n = elapse time / half-life

We begin by finding n;

n = 4 years / 3 years

= 4/3

Final amount;

=  initial amount / 2ⁿ

= 7  / 2 ^ (4/3)

= 5.25 g

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Answer:

33

Step-by-step explanation:

simply replace x with 7!

7^2 = 49

49-16=33

Answer:

0.21

Explanation:

210 hundredths is larger than 209 hundredths.

Answer:

0.21 because .210 is more than .209

Answer:

True! We can tell that it is still there through weight becuase weight is a method of evidence/measurement. Hope this helps!

Answer:

Answer is 48

Step-by-step explanation:

6x8 = 48

Hope it helps!

Answer:

area=b•h

6 units • 8 units = 48 units²

Answer:

Price before Taxes: $ 25.00

Sales Tax (8.5%): $ 2.13

Total Price with Tax: $ 27.1

Step-by-step explanation:

Answer:

Area of a triangle is 1/2 x base x height.

area of triangle = 1/2 x 20 x 17 = 170 square feet.

the image shows 4 triangles, total area = 170 x 4 = 680 square feet.

the answer is A. 680 sq. ft.

Hope this helps you!!

Please Mark me as Brainleast!!!!!!!!!!!!!

Answer: the answer is a which is 680 ft²

Step-by-step explanation: we will make 17 Times 220 divided by 2 equals 170 times by 4 equals 680 . Hope it helps you buddy .

Step-by-step explanation:

if width = 3 length = 5 hight = 10

Volume of rectangular prism = 3×5×10

= 150

The function g(x) = x³ - x² - 4x + 4 has zeros at 1, 2 and -2. The y intercept is at 4.

An equation is an expression that shows the relationship between two or more numbers and variables.

The zeros of the function is at:

g(x) = 0, hence:

x³ - x² - 4x + 4 = 0

(x - 1)(x² - 4) = 0

(x - 1)(x + 2)(x - 2) = 0

x = 1, x = -2 and x = 2

The y intercept is at x = 0, hence:

g(0) = 0³ - 0² - 4(0) + 4 = 4

The function g(x) = x³ - x² - 4x + 4 has zeros at 1, 2 and -2. The y intercept is at 4.

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Answer:

The Perimeter of the trapezoid = 42.6 inches

Step-by-step explanation:

______

Formula:

let a , b , c , d be consecutively the lengths of the sides of the trapezoid

then

The Perimeter of the trapezoid  = a + b + c + d

___________________________________

Suppose a = 11 , b = 1.5 , c = 11 , d = 19.1

therefore,

The Perimeter of the trapezoid  = a + b + c + d

                                                     = 11 + 1.5 + 11 + 19.1

                                                     = 42.6

Answer:

And great great the owner is 44

Step-by-step explanation:

or 36 because you have to add all sides

First note that any solution must belong to all of the intervals

x + 2 > 0   ⇒   x > -2

x > 0

2x - 1 > 0   ⇒   x > 1/2

3x - 12 > 0   ⇒   x > 4

so x must be larger than 4.

Recall that log(a) - log(b) = log(a/b). So we can rewrite

log(x + 2) - log(x) = log(2x - 1) - log(3x - 12)

log((x + 2)/x) = log((2x - 1)/(3x - 12))

Take the antilogarithm/exponential of both sides (note that the base of the logarithm doesn't matter here):

exp[log((x + 2)/x)] = exp[log((2x - 1)/(3x - 12))]

(x + 2)/x = (2x - 1)/(3x - 12)

Eliminate the fractions:

x (3x - 12) • (x + 2)/x = x (3x - 12) • (2x - 1)/(3x - 12)

(3x - 12) (x + 2) = x (2x - 1)

Expand both sides, collect terms and factorize to solve for x :

3x² - 6x - 24 = 2x² - x

x² - 5x - 24 = 0

(x - 8) (x + 3) = 0

x - 8 = 0   or   x + 3 = 0

x = 8   or   x = -3