Which is the best approximation of the square root of 80

The Value of x is 3.6.Answer: B. 3.6

Given that in the diagram of circle O below, chord AB intersects chord CD at E, DE = 2x + 8, EC = 3, AE = 4x-3, and EB = 4.To find the value of x from the given diagram,

we need to apply the chord-chord product theorem. The Chord-Chord Power Theorem states that the product of the lengths of the segments of two chords of a circle are equal.

If two chords of a circle intersect, then the product of the segments of one chord is equal to the product of the segments of the other chord. We can find the value of x by using the Chord-Chord Power Theorem.

So we can write the below equation according to Chord-Chord Power Theorem:(AE)(BE) = (CE)(DE)(4x - 3)(4) = (3)(2x + 8)16x - 12 = 6x + 24 16x - 6x = 24 + 1210x = 36x = 3.6

Thus the value of x is 3.6.Answer: B. 3.6

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Answer: what unit is this?

Step-by-step explanation:yeah I’ll need the unit to solve this question

Answer:

(a) He would need 76 feet of fencing

(b) Kevin should buy the packaged box of 90 feet of fencing for $950.

(c) How much does he save?

For every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.

Step-by-step explanation:

(a) At the outside edge of the pool is a protective fence. How many feet of fencing would be needed to surround the pool area?

From the question, we are told that the swimming pool measures:

14-1/2 feet wide and 23-1/2 feet long.

Perimeter of a fence = 2(L + W)

= 2( 14-1/2 + 23-1/2)feet

= 76 feet

This means he need 76 feet of fencing.

(b) Kevin discovers that he can buy a packaged box of 90 feet of fencing for $950 or he can buy cut-to-order fencing that costs $12.40 per foot. Which type of fencing should he buy?

If : For cut to order fencing

1 foot = $12.40

76 feet =

Cross Multiply

= 76feet × $12.40/1 foot

= $942.4

This means that the cut to order fencing would cost him $942.40

The packaged box of fencing cost $950 for 90 feet of fencing. This is cheaper than the cut to order fencing and he would have extra feet of fencing(14 feet) .

Therefore, Kevin should buy the packaged box of 90 feet of fencing for $950.

How much money does he save?

For the cut to order box

1 feet = $12.40

For the packaged fence,

90 feet = $950

1 feet = x

= 950/90

= $10.555555556

≈ $10.56

Hence, 1 feet of packaged fence = $10.56

Subtracting $10.56 from $12.40

= $12.40 - $10.56

=$ 1.94

Therefore, for every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.

This means:

1 feet (packaged fence) = $10.56

76 feet = x

= 76 × $10.56

= $802.56

Given statement solution is :-  The Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

To find the sum of 4 + 20, we simply add the two numbers together:

4 + 20 = 24

As for the given vectors, let's perform the requested calculations:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >

Therefore, the Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

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To find the mean (average) of a set of numbers, you add up all the numbers and then divide by the number of items in the set.

Mean = (79g + 88g + 116g + 109g + 93g) / 5

Mean = (475g) / 5

Mean = 95g

So, the mean of the set of numbers is 95g.

The value of mean of the data set is,

⇒ Mean = 97 g

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

Data set is,

79g, 88g, 116g, 109g, 93g

Now, We get;

The mean of data set is,

⇒ Mean = 79g + 88g + 116g + 109g + 93g / 5

⇒ Mean = 485g / 5

⇒ Mean = 97 g

Thus, The value of mean of the data set is,

⇒ Mean = 97 g

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It would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

To solve this problem, we can use the concept of "work rates."

Let's find out how much work Fran and Denise can do individually in one hour.

If Fran takes 6 hours to paint the living room alone, her work rate is \(\frac{1}{6}\) of the room per hour \((\frac{1 room}{6 hours } = \frac{1}{6}room/hour )\).

Similarly, if Denise takes 8 hours to paint the living room alone, her work rate is \(\frac{1}{8}\) of the room per hour \((\frac{1 room}{8 hours } =\frac{1}{8}room/hour )\).

When they work together, their work rates are additive.

So, their combined work rate would be:

\(\frac{1}{6} room/hour+\frac{1}{8} room/hour\)

\(=(\frac{4}{24} )room/hour + (\frac{3}{24} )room/hour\)

\(=\frac{7}{24} room/hour\)

This means that working together, Fran and Denise can paint \(\frac{7}{24}\) of the living room in one hour.

To determine the total time required for them to paint the entire room, we can invert their combined work rate:

\(\frac{(1 room) }{(\frac{7}{24}room/hour) } =\frac{24}{7}hour\)

Therefore, it would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

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Answer:

53

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

(-3)4

-3*4

-12

Elaborate ur question about - 34

Hey, there! Based on the table from the picture, every hour increased is $6 increased for the cost of the rental.

First hour: $10

Second hour: $16

Third hour: $22

Fourth hour: $28

So, final answer is:

+1 hour=+$6.

Anyways, I hope this helps! Enjoy your day! Take care!

Answer:

4.75 megabytes per second

Step-by-step explanation:

500-25 = 475

475 / 100 = 4.75

Given: The ordered pairs for the points on the coordinate plane satisfy the equation : y = x + 3

We have to check which of the given tables shows points that satisfy the given equation.

Now, Consider option A ,we have

for x = 4, y = 6

But putting x=4 in given equation we get y = 4+ 3 = 7 which is not equal to 6

Similarly for other ordered pairs, it does not satisfy the equation.

So, the ordered pairs of table A does not satisfy the given equation y =x + 3

Now, consider option (B), we have:

x=12 and y= 9

Now, for x=12, y = 12 + 3 = 15 which is not equal to 9 so it does not satisfy the given equation.

Hence, table (B) does not satisfy the equation.

Now for option (C),

x=9 and y= 12

y = 9 + 3 = 12 which is same as given in table.

now again check for x=12, you get y=15 you get same value as in table,

This way, all the ordered pairs of option (C) satisfy the equation.

Hence, option (C) is correct.

The proportion of items in each bin is given by the:

a. relative frequency.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The concept of probability was presented because it is the same concept of relative frequency, which gives the proportion of items in each bin.

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(A)  the annual rate of change between 1992 and 2006 was 0.0804

(B) r = 0.0804 * 100% = 8.04%

(C) value in 2009 = $11,650

What is the rate of change?

The rate of change is a mathematical concept that measures how much one quantity changes with respect to a change in another quantity. It is the ratio of the change in the output value of a function to the change in the input value of the function. It describes how fast or slow a variable is changing over time or distance.

A) The initial value is $44,000 and the final value is $15,000. The time elapsed is 2006 - 1992 = 14 years.

Using the formula for an annual rate of change (r):

final value = initial value * \((1 - r)^t\)

where t is the number of years and r is the annual rate of change expressed as a decimal.

Substituting the given values, we get:

$15,000 = $44,000 * (1 - r)¹⁴

Solving for r, we get:

r = 0.0804

So, the annual rate of change between 1992 and 2006 was 0.0804 or approximately 0.0804.

B) To express the rate of change in percentage form, we need to multiply by 100 and add a percent sign:

r = 0.0804 * 100% = 8.04%

C) Assuming the car value continues to drop by the same percentage, we can use the same formula as before to find the value in the year 2009. The time elapsed from 2006 to 2009 is 3 years.

Substituting the known values, we get:

value in 2009 = $15,000 * (1 - 0.0804)³

value in 2009 = $11,628.40

Rounding to the nearest $50, we get:

value in 2009 = $11,650

Hence, (A)  the annual rate of change between 1992 and 2006 was 0.0804

(B) r = 0.0804 * 100% = 8.04%

(C) value in 2009 = $11,650

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Answer:

B= 10k+6

Step-by-step explanation:

adding like terms!

3k+3k+2k+2k= 10k

4+4-1-1=6

Answer:

Hmmmmmm

Step-by-step explanation:

Answer:

\( x = 17 \)

Step-by-step explanation:

Since line m is parallel to line n, therefore:

\( (6x + 5) + (5x - 12) = 180 \) (consecutive interior angles are supplementary)

Solve for x

\( 6x + 5 + 5x - 12 = 180 \)

Add like terms

\( 11x - 7 = 180 \)

Add 7 to both sides

\( 11x - 7 + 7 = 180 + 7 \)

\( 11x = 187 \)

Divide both sides by 11

\( \frac{11x}{11} = \frac{187}{11} \)

\( x = 17 \)

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

Answer:

land

Step-by-step explanation:

because,bus are more comfortable and easier other transportation are dangerous than land transportation ❤️

hope i helped u

the largest length of the squares will be 120m.

The largest possible length will be equal to the greatest common factor between the dimensions of the rectangular plot, so we need to find the GCF between 600 and 720.

If we decompose both numbers, we get:

600 = 2*2*2*3*5*5

720 = 2*2*2*2*3*3*5

Then the greatest common factor is: (2*2*2*3*5) = 120

So the largest length of the squares will be 120m.

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1 1/2 = 3/2

3/2 ÷ 5 =

3/2 * 1/5 = 3/10

The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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Answer:

m<EAG = 132°

Step-by-step explanation:  

First we have to solve for x.

W=7x+12

G=8x-15

A=180-(12x+24)

All 3 of those added together should equal 180.

7x+12+8x-15+180-(12x+24)=180

7x+12+8x-15+180-12x-24=180

3x+153=180

3x=180-153

3x=27

x=9

SO, m<EAG = 12x+24 = 12(9)+24=108+24=132

Answer:

x=14/5, y=-36/5. (14/5, -36/5).

Step-by-step explanation:

x+4y=-26

-5x=-14

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

5x=14

x=14/5

14/5+4y=-26

4y=-26-14/5

4y=-130/5-14/5

4y=-144/5

y=(-144/5)/4

y=(-144/5)(1/4)

y=-144/20

simplify

y=-36/5

Step-by-step explanation:

Since every triangle adds up to 180 degrees the unknown side would be 53!++

Hi mate....

Step-by-step explanation:

This is your answer....

Triangle Fixed Value = 180°

AC = 180 - (30 + 87)

= 180 - 117

= 63°

Checking your answer....

= 117 + 63

= 180°

Hope it helps you....

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Answer:

50 degrees

Step-by-step explanation:

Triangle = 180

180 - 90 = 90

? = 50 degrees

Answer:

b

Step-by-step explanation:

because

Answer:

55 and 125

Step-by-step explanation:

supplementary angles add to 180.

11x + 25x = 180

36x = 180

x = 180/36

x = 5

5 * 11 = 55

5 * 25 = 125

the angles are 55 and 125

Answer:

The answer is 55 degrees and 125 degrees

Step-by-step explanation:

11x+25x=180

36x=180

divide by 36

x=5

11*5=55

25*5 =125

The angles are 55 and 125

Applying the trigonometry ratio, TOA, the measurement that is closest to the height of the tree in feet is: D. 21

Recall:

Trigonometry ratios can be applied to solve any right triangle for missing side lengths or angles. They are denoted with the acronym, SOH CAH TOA.

Using trigonometry ratio, TOA, find the length of the side of the tree in the bigger triangle as follows:

tan 60 = x/9

x = tan 60 × 9

x = 15.6 ft

Height of the tree = 15.6 + 5.2 = 20.8 ft.

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Answer: 21

Step-by-step explanation:

just rest

The number of miles that farther you have to walk will be 1/12 miles.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

You are walking from home to the music store. You stop for a rest after 2/3 miles. The music store is actually 3/4 miles from home.

The number of miles that farther you have to walk will be

⇒ 3/4 - 2/3

⇒ (9 - 8) / 12

⇒ 1/12

The number of miles that farther you have to walk will be 1/12 miles.

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if 1 2 3 = 2

then 3 5 4 = 5

hope it helps:)

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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