Find the measure of the missing angles.
420
b

Answer: 12 is the awnser

Step-by-step explanation: simple math.

The area of a rectangle is given by the formula:

Area = length x width

In this case, the length of the park is x + 5 and the width is x - 2. So, we can substitute these expressions into the formula to get:

Area = (x + 5) x (x - 2)

Expanding the product, we get:

Area = x^2 + 5x - 2x - 10

Simplifying, we have:

Area = x^2 + 3x - 10

Therefore, the area of the rectangular park is given by the expression x^2 + 3x - 10.

Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{Let\ the\ age\ of\ Sophia\ be\ }x\mathrm{\ and\ age\ of\ Mohal\ be\ }x+2.\\\mathrm{Given,}\\\mathrm{Product\ of\ their\ ages = 15}\\\mathrm{or,\ }x(x+2)=15\\\mathrm{or,\ }x^2+2x=15\\\mathrm{or,\ }x^2+2x-15=0\\\mathrm{or,\ }x^2+5x-3x-15=0\\\mathrm{or,\ }x(x+5)-3(x+5)=0\\\mathrm{or,\ }(x+5)(x-3)=0\\\mathrm{i.e.}\ x=-5\ \mathrm{or}\ 3.\)

\(x=-5\ \mathrm{is\ disgarded\ because\ age\ cannot\ be\ negative.}\\\mathrm{So\ the\ age\ of\ Shopia,\ }x=3\)

a square mile is equivalent to 27878400 square feet

Answer:

                                  See below.

Step-by-step explanation:

6x + 4y = 37               [These are the correct equations]

2x + 3y = 16.50

======

-6x -9y = - 49.50  [Multiply the second equation by -3]

6x + 4y = 37        [now add it to the first equation]

     -5y   =  -12.50

       y  =  2.50     $2.50 is the price of one drink

Use this value of y in either equation to find x, the price of 1 slice of pizza.

6x + 4y = 37

6x + 4*(2.50) = 37

6x + 10 = 37

6x = 27

               x = 4.50         $4.50 is the price of one slice of pizza

Answer:

The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.

Step-by-step explanation:

We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:

P = 7200/D

To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:

1600 = 7200/D

D = 7200/1600

D = 4.5 feet

So the distance between supports needed to carry 1600 lb is 4.5 feet.

To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:

1600 = 7200/D

D = 7200/1600

D = 4.5 feet

Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.

Nope, I don't. LOL, if you don't agree with me, please don't start the fifth shinobi war. Also, may I ask how it's relates to a school assignment? LOLOL

Answer:

Yes and no

Step-by-step explanation:

I say yes and no because I think that their relationship throughout the show could spread to a romance rather than a bromance. I love this ship, although I do also love the cannon ships. Hinata x Naruto and Sakura x Sasuke. And I know a lot of people hate Sasuke and Sakura ship but you know that song that goes, "I hate everything about you! Why do I love you?!?" That is what I think of that ship and I love it.

Now I'm ranting lol. But yeah that is my opinion on Naruto x Sasuke! <3

Answer:

35177.51057 (Rounded - 35177.5)

Step-by-step explanation:

Compound Interest -

- Recalculates how much you should be getting

The format will ALWAYS be y=\(ab^x\)

A = Starting Value

B = Multiplier

X = Time (years)

5% = .05

1.00 + .05 = 1.05%

y=25,000(1.05)^7

= 35177.51057

Let me know if i did anything wrong <3

Answer:

Option D.

Step-by-step explanation:

Domain and range of inverse function:

The domain of the inverse function(x values) is the range(y values) of the original function.

The range of the interse function(y values) is the domain of the original function(x values).

Original function:

Domain: \(x \geq 0\)

Range: \(y \leq -1\)

Inverse function:

x values in the domain of the inverse function are the y values in the range of the original function. So

Domain: \(x \leq 1\)

Same for range(exchange of y and x).

Range: \(y \geq 0\)

The answer is given by option D.

Answer:

B, C

Step-by-step explanation:

B is the answer, and C is equivalent.

Hope This Helped!

The exact values are:

sin(α + β) = (-6√5 - 8)/25

cos(α + β) = (4√5 - 6)/25

sin(α - β) = (-6√5 + 8)/25

tan(α - β) = (-9√5 + 45)/4

We have,

Recall the trigonometric identities:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

cos(a - b) = cos(a)cos(b) + sin(a)sin(b)

tan(a - b) = (tan(a) - tan(b))/(1 + tan(a)tan(b))

Using these identities, we can find the exact values of the expressions given.

(a) Sin (α + β)

sin(α + β) = sin(α)cos(β) + cos(α)sin(β)

= (√5/5)(-3/5) + (2/5)(-4/5) (using the values given for sin and cos)

= -6√5/25 - 8/25

= (-6√5 - 8)/25

(b) Cos (α + β)

cos(α + β) = cos(α)cos(β) - sin(α)sin(β)

= (2/5)(-3/5) - (√5/5)(-4/5) (using the values given for sin and cos)

= -6/25 + 4√5/25

= (4√5 - 6)/25

(c) Sin (α - β)

sin(α - β) = sin(α)cos(β) - cos(α)sin(β)

= (√5/5)(-3/5) - (2/5)(-4/5) (using the values given for sin and cos)

= -6√5/25 + 8/25

= (-6√5 + 8)/25

(d) tan (α - β)

tan(α - β) = (tan(α) - tan(β))/(1 + tan(α)tan(β))

= ((√5/5) - (-4/5))/(1 + (√5/5)(-4/5)) (using the values given for sin and cos)

= (9√5/5)/(1 - 4/5√5)

= (-9√5 + 45)/4

Therefore,

The exact values are:

sin(α + β) = (-6√5 - 8)/25

cos(α + β) = (4√5 - 6)/25

sin(α - β) = (-6√5 + 8)/25

tan(α - β) = (-9√5 + 45)/4

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\(12c +3(c+10)+12 \\\\=12c + 3c +30 +12\\\\= 15c + 42\)

15c+42

Step-by-step explanation:

The function represented by the graph given is equivalent to -

g(x) = (x - 4)².

The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -

f(x, y) → f(x - 4, y)

So, we can write the function as -

g(x) = (x - 4)²

So, the function represented by the graph given is equivalent to -

g(x) = (x - 4)²

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Answer: Convert the mixed numbers to improper fractions, then find the LCD and combine them.

Exact Form:

188

5

Decimal Form:

37.6

Mixed Number Form:

37

3

5

hope this helped have a nice day! :)

Answer:

Step-by-step explanation:

(124+64) /5

= 188/5

Answer is = 37.5

Answer:

P(A|B) = 1 / 6

Step-by-step explanation:

Assuming two fair sided dice with faces numbered 1 to 6.

By intuition, there can only be 6 possible outcomes, so probability is 1/6.

Illustration how to use conditional probability.

Given two events A, B, following is the equation of conditional probability

that A happens given B has already happened and observed.

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

In the given problem,

A = casting a double-six

B = casting a double

P(A) = (1 / 6) * (1 / 6) = 1/36

P(B) = (6/6) * (1/6) = 1/6

P(A|B) = 1/36 / (1/6) = 1/6

Answer: Number 2

Step-by-step explanation: yes

Answer

Explanation

A baseball is in the shape of a sphere.

The volume of a sphere is given as

Volume = (4/3) × πr³

π = pi = 3.14

\(\huge\bold{ANSWER:}\)

\( ± 243 \longrightarrow \: \sqrt[5]{x {}^{4} } = 81\)

\(256 \: \longrightarrow \: \sqrt[4]{ {x}^{3} } = 64\)

\(± 125 \: \longrightarrow \: \sqrt[3]{ {x}^{4} } = 625\)

\(8 \: \longrightarrow \: \sqrt[3]{ {x}^{5} } = 32\)

\( \small \tt{note:}\)

sorry if my answer don't have any solution but this is correct i have a answer key thank u for understanding thank u very much:)

Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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After simplifying an equation the value of x is x = 3.

What is solving an equation?

Unifying Principle for Equation Solving

By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.

The variable term on one side of the equation can be separated using addition or subtraction.

To find the variable, use multiplication or division.

Consider, the given equation

     5(2x - 4) = 10

      10x - 20 = 10                                  Removing parenthesis

10x -20 + 20 = 10 + 20                         Adding 20 on both sides

              10x = 30                                 Simplifying

                  x = 3                                    Dividing both sides by 10

Hence, the value of x is, x = 3.

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Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Answer:

3a) 54/99

3b) 257/999

Hope this'll help you!

Answer:

The answer is 110.3

Step-by-step explanation:

9514 1404 393

Answer:

  3x -5y = 4

Step-by-step explanation:

The coefficients are mutually prime integers in standard form. Here, a common factor of 8 can be removed from all of them. The result is ...

  3x -5y = 4

Answer:

I think it's this ( 40y+32/24) {See Below For More}

Step-by-step explanation:

Move all constant terms to the right-hand-side

24x=32+40y

Move all constant terms to the right-hand-side

X= 40y+32

24

The Equation Is Solved With:

X 1 = 40y+32

24

Solution Of The Equation:

X1= 40y+32

24

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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Answer:

B

\(circumference = \pi \: d \\ = 3.14 \times 20 \\ = 62.8 \: inches\)

Answer:

0.17

Step-by-step explanation:

The probability for purchasing 2 tickets at a time can be given as 0.17. The correct option is (A).

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Suppose X be the event to represent the number of tickets in purchase.

Then,  as per the question distribution table can be formed as follows,

The number of tickets (X)                                 P(X) Probability

            1                                                                      0.17

            2                                                                     0.55

            3                                                                     0.20

            4                                                                     0.06

            5                                                                     0.02

Thus, the probability of selecting less than two tickets can be obtained as,

P(X < 2) = P(X = 1)

⇒ 0.17

Hence, the probability for a purchase to have less than two tickets is given as 0.17.

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