if the perimeter of a rectangle is 48cm and the breath is 6cm. What is the length.​

Step-by-step explanation:

h²=o²+a²

a²=8²+5²

a²=64+25

a²=89

a=√89

a=9.433

To one decimal place it is 9.4

for b,

h²=o²+a²

17²=b²+12²

289=b²+144

289-144=b²

145=b²

b=√145

b=12.041

To one decimal place it is 12.0

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

Answer:

Step-by-step explanation:

Slope of DE = \(\frac{y_2-y_1}{x_2-x_1}\)

                    =  \(\frac{c-c}{a+b-b}\)

                    = 0

Slope of BC = \(\frac{y_2-y_1}{x_2-x_1}\)

                    = \(\frac{0-0}{2a-0}\)

                    = 0

Therefore, DE║BC because slopes of BC and DE are equal.

Answer:567/ 80 or 7(which was rounded to the nearest whole number)

Step-by-step explanation:

Answer: rotated 90 degrees counterclockwise and shifted 2 units up.

Step-by-step explanation:

The required rate of change of snail is given as 1.34 cm/s, as of the given graph.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
to determine the rate of change in the graph, we first need to locat two coordinates and determine the slope of the line,
since of slope of the line is equal to the rate of change,
So,
From the graph, we have two points (0, 0) and (12, 16)

Rate of change = slope
Rate of change = 16 - 0 / 12 - 0
                       = 16/12 = 4/3 = 1.34 cm/s

Thus, the required rate of change of snails is given as 1.34 cm/s.

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Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

I wanna say 348?? maybe.... I think

The equivalent expression to the sentence "9 more than the quotient of x and 5" is given as follows:

x/5 + 9.

The sentence in the context of this problem is defined as follows:

"9 more than the quotient of x and 5"

The quotient of x and 5 is given by the division of x by 5, as follows:

x/5.

9 more means that 9 is added to the quotient of x and 5, hence the equivalent expression to the sentence "9 more than the quotient of x and 5" is given as follows:

x/5 + 9.

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The value of y is 9.

Perimeter is the total length of the boundary of any closed shape. It is basically the sum of all the sides of a given figure.

Perimeter of a rectangle is given by [ 2( l + b ) ] or (2 l + 2 b ) or

( l + l + b + b), here l and b represent the length and breadth of the given rectangle.

Perimeter of the given rectangle = 166 units               ( given )

Length of the given rectangle = 5y                                ( given )

Breadth of the given rectangle = (4y + 2)                     ( given )

By putting values in the formula, we get

perimeter = 2 ( l + b )

166 = 2 [ (5y) + (4y + 2) ]

166 = 2 [ 5y + 4y + 2 ]

166 = 2 [ 9y + 2 ]

166 = 2*9y + 2*2

166 = 18y + 4

166-4 = 18y  ( moving 4 to other side thus changing the sign to negative )

162 = 18y

162/18 = y  ( moving 18 to other side for further solution )

y = 9

Therefore, the value of y for which the perimeter of the given rectangle is 166 units is 9.

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The value of y is 9.

The whole length of any closed shape's boundary is known as its perimeter. In essence, it is the total of a given figure's sides.

A rectangle's perimeter can be calculated using [2(l + b)] or (2 l + 2 b) or

(l + l + b + b), where l and b stand for the provided rectangle's length and width

The rectangle's perimeter is 166 units ( given )

The rectangle's length is 5y ( given )

Given rectangle's width equals (4y + 2) ( given )

When we enter values into the formula, we obtain

perimeter = 2 ( l + b )

166 = 2 [ (5y) + (4y + 2) ]

166 = 2 [ 5y + 4y + 2 ]

166 = 2 [ 9y + 2 ]

166 = 2*9y + 2*2

166 = 18y + 4

166-4 = 18y  ( moving 4 to other side thus changing the sign to negative )

162 = 18y

162/18 = y  ( moving 18 to other side for further solution )

y = 9

Therefore, the value of y for which the perimeter of the given rectangle is 166 units is 9.

Alexa has 10/36, Gayle 16/36, and Mei 10/36 respectively. Due to Gayle's comparatively enhanced likelihood of claiming the post of captain, the overall system is unfair.

This approach of decision-making is adversely biased since the probabilities of each individual's choice as captain are not equivalent.

Through cogitating the potential outcomes for all three contestants--Alexa, Gayle and Mei--we can establish that due to the number of combinations augmenting each sum, their respective ranges possess different frequencies.

Whilst two dice have a total of 36 possible outcomes upon being thrown, enumerating their extent yields:

Alexa (sum of 2 through 5):

2: (1, 1) -> just one combination

3: (1, 2), (2, 1) -> two combinations

4: (1, 3), (2, 2), (3, 1) -> three combos

5: (1, 4), (2, 3), (3, 2), (4, 1) -> four combinations

Consequently, Alexa's total combinations amount to 10.

Contrastingly, Gayle (sum 6 through 8) obtains 5+6+5 = 16 combinations whereas Mei (sum 9 through 12) collects 4+3+2+1 = 10 combinations in total.

With this knowledge, deducing the affinities for each contestant comes with ease; Alexa has 10/36, Gayle 16/36, and Mei 10/36 respectively. Due to Gayle's comparatively enhanced likelihood of claiming the post of captain, the overall system is unfair.

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Answer:

2x-5y=-4

Step-by-step explanation:

No, the GCF is 3 not 1

Answer:

x=50/3y

y=50/3x

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

utv = 24° wtx=113°

Step-by-step explanation:

I solved in the picture

hope this helps ^-^

The additional gas it will take to fill the tank is 16 gallons

From the question, we have the following parameters that can be used in our computation:

Capacity = 24 gallons

Current volume = 1/3 full

This means that

Remaning volume = 1 - 1/3

Evaluate

Remaning volume = 2/3

The additional gas it will take to fill the tank is

Additional = 2/3 * 24

Evaluate

Additional = 16

Hence, the additional gas it will take to fill the tank is 16 gallons

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Answer:

12+ 23734.9d That's the incorrect answer.

Answer:

Step-by-step explanation:

First, you will need to use angling.

The angle from the ship is 27 degrees. If using the strategy of how you asked the question, you will need to divide 189 by 27.

Which leaves you with the ship being 7-feet away from the base of the lighthouse.

Part (a)

The term "disjoint" is the same as "mutually exclusive".

If events E and F are disjoint, then we know that P(E and F) = 0. In other words, the two events have nothing in common. Therefore, it's impossible for them both to occur simultaneously.

P(E or F) = P(E) + P(F) - P(E and F)

P(E or F) = 0.4 + 0.5 - 0

P(E or F) = 0.9

====================================================

Part (b)

If events E and F are independent, then P(E and F) = P(E)*P(F).

P(E or F) = P(E) + P(F) - P(E and F)

P(E or F) = P(E) + P(F) - P(E)*P(F)

P(E or F) = 0.4 + 0.5 - 0.4*0.5

P(E or F) = 0.4 + 0.5 - 0.2

P(E or F) = 0.9 - 0.2

P(E or F) = 0.7

The required solution for the profits in the year 2020 is $10452958.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

In 1990, the profit of the Gamma company was $11,218,614.

profits fell by $12,189 on average.

According to given question we have

Initial profit P(x)= $11900848

Fall rate= $48263 per year

The year in between  1990<x<2020

The Equation is

P(x)= 11900848 - (x-1990)*48263,

P(2020)= 11900848- 30*48263

= $10452958

Therefore, the required solution for the profits in the year 2020 is $10452958.

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Answer:

38\(\sqrt{3}\)

Step-by-step explanation:

6\(\sqrt{5x5x3}\) + 4\(\sqrt{2x2x3}\)  We can pull out a pair of 5's and 2's

6(5) \(\sqrt{3}\) + 4(2)\(\sqrt{3}\)

30\(\sqrt{3}\) + 8\(\sqrt{3}\)

38\(\sqrt{3}\)

This illustrates the rule of large numbers, according to which the sample mean approaches the population mean as the sample size rises.

The likelihood or chance of an occurrence occurring is measured by probability. It is expressed as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the occurrence. Additionally, probabilities can be stated as percentages, with 0% denoting an improbable event and 100% denoting a specific event. By dividing the number of favourable outcomes by the total number of potential outcomes, the probability of an occurrence is determined.

given

Since there are six potential outcomes and only one of them is a 5, the theoretical probability of rolling a 5 on a fair die is 1/6.

Mya's experimental chance of rolling a 5 after 100 trials is 25/100, which can be expressed as 1/4. Her experimental probability after 200 attempts is 30/200, which can be expressed as 3/20.

This implies that the experimental probability moves closer to the theoretical probability as the number of trials rises.

In other words, Mya's experimental findings get closer to the anticipated theoretical probability the more times she rolls the die.

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The complete question is :-   Communicate and Justify Mya rolls a fair die and counts the number of times she rolls a 5. She rolls a 5 on 25 of the first 100 trials. She rolls a 5 on 30 of the first 200 trials. Compare the experimental probability to the theoretical probability after 100 trials and 200 trials. What do you notice? Explain.

Step-by-step explanation:

that kind of wording is always misleading.

please give my regards and comments to your teacher.

a square root has ALWAYS 2 solutions : a positive AND a negative one.

in that sense the negative solution to a square root is NOT an extraneous solution.

only any value of x < -10 (to make the argument of the square root negative) as solution would be extraneous.

so, if your teacher wants to say that only the positive solutions of a square root are allowed, it has to be said as an extra definition or by applying the "+" sign to the square root.

so,

x + 4 = sqrt(x + 10)

since the 2 solutions are already given to us, we only need to use them in the equation and see what happens.

x = -1

-1 + 4 = sqrt(-1 + 10)

3 = sqrt(9) = 3 (actually, it is ±3)

so, x = -1 is a real solution.

x = -6

-6 + 4 = sqrt(-6 + 10)

-2 = sqrt(4) = 2 (actually, it is ±2)

so, based on your teacher's expectation of only positive results of the square root (even though it was not stated),

x = -6 is an extraneous solution.

therefore, the third answer (c) is the "correct" answer.

but actually, formally, the second answer (b) is the truly correct answer.

the first time in my class or must i forget abt u cos i always indoors and i know ukuthi im not strong so

Answer:D

Step-by-step explanation:

please mark brainliest

The value of the Z-score will be equal to 2.

The z score indicates how many standard deviations your score is from the mean.

At the mean position, the standard deviation is 0 now the z score is the measure of the data which is how far from the mean. So the given data is at two standard deviations to the right of the mean so the Z-Score will be 2.

Therefore the value of the Z-score will be equal to 2.

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Answer:

20.

Step-by-step explanation:

60 - 40 = 20

Answer:

There are 5 prime numbers between 40 and 60.

Step-by-step explanation:

A prime number is a number that is ONLY divisible by itself and 1 with no remainder. For example 3 can only be divided by 1 or 3 without a remainder left.

Between 40 and 60 there are 5 prime numbers: 41, 43, 47, 53, and 59.

Answer:

195.4

Step-by-step explanation:

Volume of a right cylinder is:

V = π r² h

where r is radius and h is height.

V = π (2.6 cm)² (9.2 cm)

V = 195.4 cm³

The Valley of Ashes symbolizes the emotional turmoil and feelings of the characters the working class who enable the lifestyles of the wealthy the negative economic impact of prohibition laws Gatsby's fears organized crime

On the north shore of Long Island, the valley of ashes was a two to three thousand acre marshland that encircled the Flushing River mouth. This small river primarily serves as an inlet into Flushing Bay, which is an arm of the East River, with tidal water flowing through it rather than fresh water.

It is a metaphor for the moral and societal decay brought on by the unrestrained pursuit of wealth, as the wealthy indulge in only their own pleasure. The emotional turmoil and feelings of the characters from the working class that support the lifestyles of the wealthy are symbolized by The Valley of Ashes. the damaging effects of prohibition laws on the economy Gatsby worries about organized crime.

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Answer:

Step-by-step explanation:

Given the expression cosec (x) = 4 and tan(x)< 0

since cosec x = 1/sinx

1/sinx = 4

sinx = 1/4

From SOH, CAH TOA

sinθ = opposite/hypotenuse

from sinx = 1/4

opposite = 1 and hypotenuse = 4

to get the adjacent, we will use the Pythagoras theorem

adj² = 4²-1²

adj² = 16-1

adj ²= 15

adj = √15

cosx = adj/hyp = √15/4

tanx = opposite/adjacent = 1/√15

since tan < 0, then tanx = -1/√15

From double angle formula;

sin2x = 2sinxcosx

sin2x = 2(1/4)(√15/4)

sin2x = 2√15/16

sin2x = √15/8

for cos2x;

cos2x = 1-2sin²x

cos2x = 1-2(1/4)²

cos2x = 1-2(1/16)

cos2x= 1-1/8

cos2x = 7/8

for tan2x;

tan2x  = tanx + tanx/1-tan²x

tan2x = 2tanx/1-tan²x

tan2x = 2(-1/√15)/1-(-1/√15)²

tan2x = (-2/√15)/(1-1/15)

tan2x = (-2/√15)/(14/15)

tan2x = -2/√15 * 15/14

tan2x = -30/14√15

tan2x = -30/7√15

rationalize

tan2x =  -30/7√15 * √15/√15

tan2x =  -30√15/7*15

tan2x =  -2√15/7