find the area of each shaded sector. round to the nearest tenth.

1) apply exponent to the terms inside the bracket - multiply exponents

[tex](u^3v^4)^4\\\\(u^1^2v^1^6)[/tex]

[tex](2u^4v^2)^2\\\\(4u^8v^4)[/tex]

2) multiply the two terms together - add exponents

[tex](u^1^2v^1^6)(4u^8v^4)\\\\4(u^1^2^+^8)(v^1^6^+^4)\\\\4u^2^0v^2^0[/tex]

Step-by-step explanation:

When y = 3x then 2(3x) + x =14

6x + x = 14

7x=14

x=2 in sub eq 1

y=3(2)=6

The area covered by the napkin is 56 square centimeters

This is calculated using:

[tex]Area = \frac 12 ab\sin(C)[/tex]

Where:

a = 15, b = 5 and C = 30

So, we have:

[tex]Area = \frac 12 * 15 * 15 * \sin(30)[/tex]

Evaluate the product

Area = 56.25

Approximate

Area = 56

Hence, the area covered by the napkin is 56 square centimeters

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Answer: 56

Step-by-step explanation:

that’s c on 2023 edge

Answer:

Step-by-step explanation:

Comment

The general formula for a tangent and secant is

tangent^2 = external segment * full length of the secant.

Givens

tangent length = x

external segment = 7

secant length = 7+ 21

Formula

x^2 = 7 * (7 + 21)                         Remove brackets

x^2 = 7 * 28                                Combine

x^2 = 196                                    Take the square root of both sides

√x^2 = √196

x = 14

Answer: x = 14

Answer: 128.7

Step-by-step explanation:

The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

No of action films = 3

No of comedy films=3

The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first is found as;

[tex]\rm P = \frac{C_3'}{C_6'} \times \frac{C_2'}{C_5'} \\\\\ P=\frac{3}{6} \times \frac{2}{5} \\\\ P=\frac{1}{5}[/tex]

Hence, the  probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].

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Answer:

g(p + 4) = [p² + 8p + 21 / 3p + 12]

Step-by-step explanation:

Function :

g(x) = (x² + 5) / 3x

Substitute x = p + 4 :

⇒ g(p + 4) = [(p + 4)² + 5] / 3(p + 4)

⇒ g(p + 4) = [p² + 8p + 16 + 5 / 3p + 12]

⇒ g(p + 4) = [p² + 8p + 21 / 3p + 12]

Frankie should consider these factors before buying the car including the following:

In addition to quality, cost of ownership, payment impact, and reliability, Frankie should consider these factors before buying the car:

b. the cost to maintain (oil, tires, gas, brakes) and insure the car.

d. his short- and long-term financial goals.

e. if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs.

Thus, the most important factors that Frankie should consider before buying the car are listed above.

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Answer:

A, B, D, E

Step-by-step explanation:

-what he will be giving up if he spends $800 on the car

-the cost to maintain (oil, tires, gas, brakes) and insure the car

-his short- and long-term financial goals

-if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs

As tangents from a single point to the circle are equal in measure

ABC is isosceles

<A=60°

We know the radius hits any tangent on right angles

So

Now

accurate value

Answer:

[tex]x=4\sqrt{3}[/tex]

Step-by-step explanation:

If two tangents to a circle meet at one exterior point, the tangent segments are congruent.   Therefore, AC = BC

This means that ΔABC is an isosceles triangle and so
∠ABC = ∠BAC = 60°

The tangent of a circle is always perpendicular to the radius.

Therefore, ∠PAC = 90°

With this information, we can calculate ∠PAD:

⇒ ∠PAD + ∠BAC = ∠PAC

⇒ ∠PAD + 60° = 90°

⇒ ∠PAD = 90° - 60°

⇒ ∠PAD = 30°

We now have a side length and an angle of ΔPAD (shown in orange on the attached diagram).  So using the cos trig ratio, we can calculate [tex]x[/tex]:

[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

[tex]\implies \cos(30^{\circ})=\dfrac{6}{x}[/tex]

[tex]\implies x=\dfrac{6}{\cos(30^{\circ})}[/tex]

[tex]\implies x=\dfrac{6}{\frac{\sqrt{3}}{2}}[/tex]

[tex]\implies x=4\sqrt{3}[/tex]

Answer:

114 laps

Step-by-step explanation:

Multiply 200 x 57% :

The examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams.

It should be noted that average simply means the mean of a given set of numbers that are given in a data.

In this case, the examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams

Let's use examination results to butress our point. A good average examination results mean that the students have a good understanding of what was covered in the subject.

Let's say the average pass mark for a subject is 50. In this situation, someone who scores 50 and above is believed to understand the subject and has a pass mark.

On the other hand, someone who scores 49.8 is considered to have failed the class even though the score is identical. This shows the case of variability and how similar average can mean different things.

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Considering the given probabilities, it is found that the correct option about whether the events are independent is given as follows:

p(x) · p(y) = p(x and y). They are independent because p(x) p(y) = p(x and y).

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Researching this problem on the internet, the probabilities are given as follows:

[tex]P(X) = \frac{4}{5}, P(Y) = \frac{1}{4}, P(X \cap Y) = \frac{1}{5}[/tex]

Hence:

[tex]P(X)P(Y) = \frac{4}{5} \times \frac{1}{4} = \frac{1}{5} = P(X \cap Y)[/tex]

Hence the events are independent and the correct option is given by:

p(x) · p(y) = p(x and y). They are independent because p(x) p(y) = p(x and y).

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HOPE IT HELP (≧▽≦)(≧▽≦)(≧▽≦)

Answer:

Step-by-step explanation:

the answer is wrong its  34.3

Answer:

9/20

Step-by-step explanation:

i tried and got it wrong. it is 9/20

Answer:

The side b is 2√6 unit

Step-by-step explanation:

in right triangle ΔABC,∠C=900,a=5,c=7;c is

the side opposite to the right angle, so it is hypotenuse,

aandb are the adjacent sides of the right angle .

We know in right triangle ΔABC,a²+b²=c²

∴5²+b²=7²or

b²=49−25=24

∴√b²=√24

b=√24

b=2√6

. The side b is 2√6 unit [Ans]

AB = 7 cm

CB = 5 cm

AC = 2√6cm

According to Pythagoras Theorem,

AC²=BC²+AB²

(2√6)²=5²+7²

24=25+49

24=74

Hence, it is not a right-angled triangle ABC.

Answer:

  72 cm²

Step-by-step explanation:

The shaded area is 1/4 of the rectangle, so the unshaded area is 3/4 of the rectangle--3 times the area that is shaded.

__

  Unshaded area = 3 × 24 cm² = 72 cm²

The region that is not shaded has an area of 72 cm².

_____

You can mark the midpoint of MR as point S, and draw segment PS. That will divide the rectangle into 4 congruent triangles, one of which is shaded. The congruent triangles all have the same area, so the shaded area is 1/4 of the total area, and the unshaded area is 3 times the shaded area.

Answer:

the answer is x=16

Step-by-step explanation:

trust me bro

Hey there!

15% * 1.340

= 15/100 * 1.340

= 0.15 * 1.340

= .15 * 1.34

= 0.201

Therefore, the answer should be: 0.201

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]      

      ➪  What is the quotient of 7 and the difference of a number and 8?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

         ➪ First, the word "quotient" indicates that we divide.

   ✳︎ Here, we are asked to divide 7 by the difference of a number and 8.

➪ The word "difference" indicates that we subtract.

        ✳︎ Here, we are asked to subtract  a number minus 8.

Let the number be x.

Since the difference of x and 8 means we subtract x minus 8, this expression looks as follows:-

         [tex]\texttt{x-8}[/tex]

  ◈     Now, we are also asked to find the quotient of 7 and the difference of a number and 8, which equals [tex]\bold{x-8}[/tex].

As I said earlier, the "quotient" means we divide, so we divide 7 by [tex]\bold{x-8}[/tex].

So we conclude that the expression is:-

7÷(x-8)

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

Answer:

20%

Step-by-step explanation:

2:10 = 2/10 = 20/100 = 20%

Answer:

  D.  plain quadrilateral

Step-by-step explanation:

This is a vocabulary question.

__

A parallelogram is a quadrilateral (4-sided plane figure) with both pairs of opposite sides parallel. A rhombus is a special case of a parallelogram in which the sides have equal lengths.

A trapezoid is quadrilateral with exactly one pair of parallel sides. An isosceles trapezoid is one that has equal-length non-parallel sides.

__

The given figure has no parallel sides, so is none of the above. It is a ...

  plain quadrilateral

Answer:

n = 7.

Step-by-step explanation:

Sum S of an AP = (n/2)[2a + d(n - 1)]

112 = (n/2)[2*25 - 3(n -1)]

n/2 (53 - 3n) = 112

n(53 - 3n) = 224

-3n^2 + 53n - 224 = 0

3n^2 - 53n + 224 = 0

(3n - 32 )(n  - 7 ) = 0

n = 7, 32/3

So n must be 7 as its a whole number.

A function assigns the values. The average rate of change for the given function g(x) is 1.

A function assigns the value of each element of one set to the other specific element of another set.

The average rate of change of a function is given by the formula,

Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]

Where a is the lower limit and b is the upper limit.

Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,

a = 0

g(a) = 0²+10(0)+20 = 20

b = -9

g(b) = (-9)²+10(-9)+20 = 11

The average rate of change for the function g(x), can be written as,

[tex]\text{Average rate of change}= \dfrac{g(-9)-g(0)}{-9-0}=\dfrac{11-20}{-9} = 1[/tex]

Hence, the average rate of change for the given function g(x) is 1.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

As we know, Area of a square can be represented as :

[tex]\qquad \sf  \dashrightarrow \:area = side {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:a = s {}^{2} [/tex]

now, we have been given that area of a particular square is 16 square feet. so, let's calculate its sides

[tex]\qquad \sf  \dashrightarrow \:s {}^{2} = 17[/tex]

[tex]\qquad \sf  \dashrightarrow \:s = \sqrt{17} [/tex]

[tex]\qquad \sf  \dashrightarrow \:s \approx4.12 [/tex]

so, the closest value is : B. 4.1 feet

Answer:

B

Step-by-step explanation:

Just read and you will see why i say that

The 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.

We have a fish tank has 240 quarts of water.

Levi adds another, 1201 quarts to the tank.

Total water in the tank = 240 + 120 = 360 quartz

To convert quartz to gallon, divide by 4

Total water in the tank = 360/4 = 90 gallons

Thus, the 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.

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