Find the area of each triangle
Base 5ft height 2 1/3 ft

Answer:

239 who are you

Step-by-step explanation:

The scale factor and the value of x for each figure is given as follows:

A) Scale factor of 1/3, x = 7 m.

B) Scale factor 0.4747, x = 4.5 in.

For Figure A, we have that the ratio between the areas is given as follows:

510/4590 = 1/9.

As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:

1/3.

Then the value of x is obtained as follows:

x = 21 x 1/3

x = 7 m.

For Figure B, we have that the ratio between the areas is given as follows:

16/71 = 0.22535.

The scale factor is then the square root of 0.22535, which is given as follows:

0.4747.

Then the value of x is given as follows:

x = 9.5 x 0.4747

x = 4.5 in.

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Answer:If you use a graph and a table to solve an equation that shows two expressions equal to one another, how can you use algebra to check your answer? Choose the correct answer below. A. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking, which is an estimate. Check to see if solving each of the new equations gives values of x  that are close to each other. If they are too far from each other, you may need to reexamine the table and graph. B. Input the answer into each expression and simplify. Check to see if the result gives exactly the same number on each side. If the numbers are not exactly equal, you may need to reexamine the table and graph. C. Input the answer into each expression and simplify. Check to see if the result, which is an estimate, gives numbers on each side which are close to each other. If they are too far from each other, you may need to reexamine the table and graph. D. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking. Check to see if solving each of the new equations gives exactly the same values of x . If they are not equal, you may need to reexamine the table and graph.

Step-by-step explanation:

The number of tickets that will be sold is 5560.

What is division?

A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.

Ticket sales for Six Flags White Water totaled $94,520 this summer.

Tickets for the water park cost $17 each.

The number of tickets sold will be = 94520/17 = 5560.

Hence, the number of tickets that will be sold is 5560.

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If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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\(e^x=18\)

ex = 18 e x = 18 Take the natural logarithm of both sides of the equation to remove the variable from the exponent. ln(ex) = ln(18) ln (e x) = ln (18)

Using it's concept, the slope of the line is of 3.

The slope of a line, given two points, is given by change in y divided by change in x.

In this problem, the points are (1,5) and (2,8), hence the slope is given by:

m = (8 - 5)/(2 - 1) = 3.

The slope of the line is of 3.

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Answer:

-40

Step-by-step explanation:

8-(12*4)

you would multiply what is in the parenthesis first and then you would subtract! :D

Answer:

for first one

√8²+4²=24

6²=36 not right angled triangle

so it is obtuse TRAINGLE

Step-by-step explanation:

for second one

it is acute TRAINGLE

Answer:

326.56 sq. units

Step-by-step explanation:

Calculating the slant height

Formula

Subbing in the values

Answer:

5/6

Step-by-step explanation:

quotient of 2/11 and 4/11 is 22/44 or 1/2

5/3 · 1/2 = 5/6

Answer: (12,-6)

Step-by-step explanation:

Answer:

The answer to this question should be D. 0.67

Hope this helped.

Answer:

$4.54

Step-by-step explanation:

$41.50-$5.18 = $36.32

If he buys 8 bags of potatoes AND each equals the SAME amount,

$36.32÷8= $4.54

THUS EACH bag of potatoes costs $4.54

I hope it helped!

Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Using the distance formula, the length of segment PQ is:

C. √68 units

The distance formula is given as:

d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

Segment PQ has the following endpoints:

P(-2, 3)

Q(6, 1)

To find the length of segment PQ using the distance formula, we can apply the formula, where:

\((x_1, y_1)\)are the coordinates of point P

\((x_2, y_2)\) are the coordinates of point Q.

Given:

P(-2, 3) = \((x_1, y_1)\)

Q(6, 1) = \((x_2, y_2)\)

Let's substitute the values into the formula:

PQ = √[(6 - (-2))² + (1 - 3)²]

PQ = √[(8)² + (-2)²)

PQ = √(64 + 4)

length of segment PQ = √68 units

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The pressure of 28 inches of mercury occurs about 6 miles from the eye of hurricane.

A function having the formula f(x) = ax' + b is said to be linear.

It appears to be a standard linear equation, except the linear function symbol is f rather than y. (x).

You would be given the value of f(x) and asked to locate x when solving a linear function.

F(x) is the barometric air pressure in inches of mercury.

x is the distance in miles from the eye of a severe hurricane.

It is given pressure 28inches of mercury

Put F(x) equal to 28

F(x) = 0.48ln(x+2) +27

28 = 0.48ln(x+2)+ 27

28-27= 0.48ln(x+2)

1= 0.48ln(x+2)

1/0.48= ㏑(x+2)

25/12= ㏑(x+2)

x+2= e^(25/12)

x+2=8.03119

x=8.03119-2

x= 6.03119

x = 6(round off)

Therefore, for 28 inches of mercury occurs about 6 miles from the eye of hurricane.

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Answer:

18A324 units

Step-by-step explanation:

The volume of a sphere is given by where r is  given: The raduis of sphere =24 units  

Then the volume of the given sphere will be

Hence, the volume of given sphere

Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

The term that  best describe this graph attached is

does not have an outlier

An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.

Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.

The graph is not exactly uniform even though it is not skewed

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Answer:

.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Para la función F(x, y) = xy, las curvas de nivel para una constante C tienen la ecuación

x y = C

Tienes que reconocer que esta es la ecuación de una hipérbola. La constante C determina las coordenadas de los focos y los vértices, y las ecuaciones de las asíntotas.

(a) √2 · √8. The simplified surd expression is 4.

(b) √80. The simplified surd expression is  4√5.

(c) √5/√20. The simplified surd expression is  1/2.

(d) √20. The simplified surd expression is  2√5.

The given surd expression is simplified as follows;

(a) √2 · √8

we can simplify it as;

√2 · √8 = √(2 x 8) = √16 = 4

(b) √80

we can simplify it as;

√80 = √ (16 x 5) = √16  x √5 = 4√5

(c) √5/√20

we can simplify it as;

√5/√20  x  √20 / √20

= (√5  x √20 ) /(20)

= √100 / 20

= 10/20

= 1/2

(d) √20

we can simplify it as;

√20 = √4  x √5 = 2√5

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Answer:

511 million km²

Step-by-Step Explanation:

Let the total surface area of the Earth be x.

Water covers 70.7% of the total surface area of the Earth, i.e.,

70.7% of x = 3.61 x 10⁸ km²

or, 70.7x /100 = 3.61 x 10⁸ km²

or, 707x/1000 = 3.61 x 10⁸ km²

or, 707x = 3.61 x 10⁸ x 1000km²

or, 707x = 3.61 × 10^11 km²

or, x = 0.0051 × 10^11 km²

or, x = 5.1 × 10⁸ km² = 511 million km²

Hope it helps.

If you have any query, feel free to ask .

Answer:

511 million km²

Step-by-step explanation:

Let x be the approximate total surface area of the Earth.

Given water covers 70.7%, or about 3.61 × 10⁸ km², set up an equivalent ratio of percent (in decimal form) to area:

\(\implies 0.707:3.61 \times 10^8=1:x\)

Solve for x:

\(\implies\dfrac{0.707}{3.61 \times 10^8}=\dfrac{1}{x}\)

\(\implies0.707x=3.61 \times 10^8\)

\(\implies x=\dfrac{3.61 \times 10^8}{0.707}\)

\(\implies x=\dfrac{3.61 }{0.707}\times 10^8\)

\(\implies x=5.10608203...\times 10^8\)

One million has 6 zeros and can be written in scientific notation as:

Therefore, to write x in millions as x × 10⁶, subtract 2 from the exponent and move the decimal point to the right by 2 places:

\(\implies x=510.608203...\times 10^6\)

Therefore, the approximate surface area of the Earth is 510.608203... million km², which is 511 million km² to the nearest million.

Website B is better when it comes to the number of new subscribers per amount of content. The two options for defining a generation of revenue per amount of content are options 1 and 2.

We have been given two websites A and B, whose number of new subscribers per amount of content can be shown as the ratio of the new subscribers to the posted content amount.

New subscribers per amount of content, For A would be

= 9000/110

= 81.8

New subscribers per amount of content, For B would be

= 20000/200

= 100

From these calculations, we can conclude that the number of new subscribers per amount of content posted on the website is greater in B compared to A.

Furthermore, it is better to compare the two websites on the basis of revenue divided by the number of posts and a total number of words. Hence, options 1 and 2 are correct for part 2 of the question.

The complete and correct question is -

Charlotte owns two entertainment websites. Here are some details about those websites for one entire month.

1) Charlotte wants to know which website gains more new subscribers per amount of content.

2) Charlotte wants to know which website generates more revenue per amount of content. 1) Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers:

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