4. A triangle plotted in the coordinate plane has vertices at (2, 3), (sqrt15,3) and (4,8). Which of the following
is closest to its area?
(1) 4.68
(3) 7.12
(2) 5.93
(4) 8.76​

Answers

Answer 1

Answer:

Option(1) is the correct answer to the given question .

Step-by-step explanation:

let     [tex]x1, y1=\ (2, 3)[/tex]

[tex](x2,y2)=(\sqrt{15,3} \ )[/tex]

[tex](x3,y3)=\ (4,8)[/tex]

Now we know that

[tex]Area=\ \frac{1}{2} |x1(y2-y3)\ + \ x2(y3-y1)\ + x3(y1-y2)[/tex]

Now putting this value in the formula we get

[tex]\frac{1}{2}|2(3-8)\ +\sqrt{15}(8-3)\ * 4(5-3)|[/tex]

[tex]=\ \frac{1}{2}\ *9.3649[/tex]

=4.6824

Therefore option(1) is the correct answer .

Answer 2

Answer:

Option(1) is the correct answer to the given question .

Step-by-step explanation:


Related Questions

Prove that (2n+1)^2 - (2n+1)^2 is a multiple of 8 for all positive integer values of n

Answers

Answer:

(2n + 1)[(2n + 1) � 1]

(2n + 1)(2n + 1 � 1)

(2n + 1)(2n), or 2n(2n + 1)

2n is an EVEN NUMBER, and adding 1 to an even number creates an ODD number

Therefore, 2n(2n+1)=EVEN NUMBER ODD NUMBER=EVEN NUMBER

Step-by-step explanation:

Which operation should you perform first in the expression 7 × 23?

Answers

Answer:multiplication

Step-by-step explanation:

Answer:

Multiplication

Step-by-step explanation:

Remember PEMDAS.

This is the order of operations

Parentheses, exponents, multiplication, division, addition, and subtraction.

That is the order you need to do things in, and in this case, since there are no other operations, the answer is multiplication.

I need help with this question. What makes 9/4, when you have to divide a number by 4?

Answers

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex]x \div 4=9/4[/tex]

[tex]x=9/4 \times 4[/tex]

[tex]x=36/4[/tex]

[tex]x=9[/tex]

Answer:

9

Step-by-step explanation:

x/4=9/4

x=9 (multiply both sides by 9)

What is the answer to this question 3 x 1/5 =?

Answers

Answer:

.6

Step-by-step explanation:

While making oatmeal cookies, Angela needs to add cup of milk to her dough. However, she has only a -cup measuring cup. How many times does she need to fill the measuring cup to pour cup of milk? The number of times Angela needs to fill the -cup measuring cup to pour cup of milk is .

Answers

Answer:

the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2.

Complete question:

While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. How many times does she need to fill the measuring cup to pour 1/2 cup of milk? The number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is?

Step-by-step explanation:

Number of cups Angela needs to add to her dough = 1/2 cup of milk

The only measuring cup she has = 1/4-cup measuring cup.

To determine the number of times she needs to fill the measuring cup to pour 1/2 cup of milk, we would divide the 1/2 cup of milk by 1/4-cup measuring cup

= ½ ÷ ¼

= ½ × 4/1

= 4/2

= 2

Angela would need to fill 2 times

Therefore, the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2

Answer:

The answer is 2 (:

Step-by-step explanation:

I got it right on the test in Edmentum

Hope this helps

6. Suppose you bought supplies for a party. Three rolls of streamers and 15 balloons
cost $30. Later, you bought 2 rolls of streamers and 4 balloons for $11. How much did
each roll of streamers cost? How much did each balloon cost?

Answers

Answer:

Streamers are $2.50 each

Balloons are $1.50 each

Step-by-step explanation:

Make a system of equations

3s + 15b = 30

2s + 4b = 11

Solve by elimination: multiply the top equation by 2 and the bottom equation by -3.

6s + 30b = 60

-6s -12b = -33

18b = 27

b = 1.5

Plug in 1.5 as b to find s

3s + 15(1.5) = 30

3s +22.5 = 30

3s = 7.5

s = 2.5

The streamers are $2.50 and the balloons are $1.50

Jack and Jill have gone into business together, Jill promotes and sells
tickets for Jack who performs interpretive dance. They charge $2.50 for
adults and $1.25 for children. One performance sells 12 more tickets to
adult than children. In total they make $183.75. How many of each ticket
did they sell? *​

Answers

Answer:

Number of children's ticket sold =41Number of adult ticket sold=53

Step-by-step explanation:

Adult's ticket price= $2.50

Children's ticket price= $1.25

Let the number of children's ticket sold =x

One performance sells 12 more tickets to  adult than children.

Therefore, the number of adult ticket sold =x+12

In total they make $183.75.

Therefore, we have that:

1.25x+2.50(x+12)=$183.75

We solve the resulting equation for x.

Open the brackets

1.25x+2.5x+30=183.75

Collect like terms

3.75x=183.75-30

3.75x=153.75

Divide both sides by 3.75

x=41

Therefore:

Number of children's ticket sold ,x=41Number of adult ticket sold, x+12 =41+12=53

Biggest tree in the world:


The height of a redwood tree is 30 metres plus half of its own height, but it
is not 45 metres high. What is the height of the tree?

Answers

Answer:

80m

Step-by-step explanation:

The height of giant redwood tree is 100m.

so half of it is 50m

The height of redwood tree is 30m+ 50m= 80m

Answer: 60 m

Step-by-step explanation:

30 + .5x = x

30 = .5x

60 = x

What is 34×60 Brainliest Answer Wins

Answers

Answer:

2040

Step-by-step explanation:

34x60=2040

Answer:

2040

Step-by-step explanation:

So we multiply them on a calculator.

Work out the surface area of the solid cuboid. The diagram is not drawn to scale.2cm,4cm and 5cm

Answers

The surface area of the solid cuboid is 76 cm²

Calculating the surface area of a cuboid

From the question, we are to determine the surface area of the cuboid

The surface area of a cuboid is given by the formula,

Surface area = 2(lb + lh + bh)

Where l is the length

b is the breadth

and h is the height

Let

l = 5 cm

b = 4 cm

h = 2cm

Then,

Surface area = 2(5×4 + 5×2 + 4×2)

Surface area = 2(20 + 10 + 8)

Surface area = 2(38)

Surface area = 76 cm²

Hence, the surface area of the solid cuboid is 76 cm²

Learn more on Calculating the surface area here: https://brainly.com/question/26403859

#SPJ1

How many seconds are in one day?

Answers

Answer: 86,400 seconds

Answer:

86,400

Step-by-step explanation:

there are 60 seconds in a minute, there are 1440 minutes in a day. 1440×60= 86,400

// have a great day //

What percent of a is b?
Please put your answer in percent.

Answers

Answer:

If you know two number a and b and need find, b is what percentage of a, P=b

- 100%

a

Help me please show me how u got your answer PLZ and Thank You!!

Answers

Answer:

1/3 I think I am not sure tho.

btw I know st math I used to do that to! LOL!

Step-by-step explanation:

If I am please mark me BRAINLIEST!

f(x)= square root x-3

Answers

I would use a graphing tool like desmos or geogebra, or a texas instruments graphing calculator, there a number of tools out there. The first two options are free online tools. Using technology to graph is much preferred over doing it by hand.

If you must do it by hand, then the idea is to plug in various values of x to get corresponding values of y. For instance, if x = 7, then

y = sqrt(x-3)

y = sqrt(7-3)

y = sqrt(4)

y = 2

So the point (x,y) = (7,2) is on this curve. Repeat for other x values to get more points. Then plot the points all on the same xy grid. Lastly, draw a curve through those points. The more points you have, the more accurate the graph. Use graphing technology to help confirm you have the right graph.

As for the question of one-to-one, you are looking to see if the horizontal line test fails or not. After fully graphing y = sqrt(x-3), try to construct a single horizontal line that will pass through more than one point on the curve. You'll find that such a task is not possible in this case; therefore, this graph passes the horizontal line test and consequently the graph is one-to-one.

An example where a graph is not one-to-one would be a parabola. It is possible to pass a single horizontal line through more than one point on a parabola.

The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x) + 1.

Answers

Answer:

Step-by-step explanation:

Which angle?

O

O

O

O

of the following is best defined as segments that intersect at a right

A. Perpendicular

segments

B. Intersecting

segments

C. Coplanar segments

D. Parallel segments

Answers

Answer:

Perpendicular

Step-by-step explanation:

A figure is located entirely in the third quadrant if it is reflected over the y axis in which quadrant will it's image lie

Answers

Answer:

It will land in quadrant 1 (quadrant 1)

Step-by-step explanation:

AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 58º.


What is the measure of ∠DQM ?

Answers

Answer:

32°

Step-by-step explanation:

Given:

∠DMQ = 58º

In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°

Therefore, ∠MDQ = 90°

The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:

180 = ∠DMQ + ∠MDQ + ∠DQM

Solving for ∠DQM, we have:

∠DQM = 180 - ∠DMQ - ∠MDQ

∠DQM = 180 - 90 - 58

∠DQM = 32°

The measure of ∠DQM is 32°

How many numbers are in the list 1,4,7...........,2005, 2008? URGENT!

Answers

Answer:

670 numbers

Step-by-step explanation:

T1=1*3-2

T2=2*3-2

T3=3*3-2

...............

Tn=n*3-2

n*3-2=2008

n*3=2010

n=2010:3

n=670 (numbers)

Answer:

2005-1=2004 so there is 2004 numbers

every 3 numbers 1 is chosen

2004/3=670

670 numbers are in between

Hope this helps

Step-by-step explanation:

Can someone help me with this one I’m stuck please and thank you

Answers

Answer:

none of them it should be ac,cb,ab. From my point of view


5. Your dog is expecting a litter of puppies. The probability of a puppy being male or female is .50 or 50%. What is the probability that a litter of 4 puppies will contain 2 males and 2 females? Show your work

Answers

Answer:

not likely bbtguvtcettup

Stephanie just redecorated her bedroom. She wants to paint her door green but needs to know the surface area
of the door to see if she has enough paint.
80 cm
1
200 cm
3 cm
What is the surface area of the door?

Answers

Answer:

please give more clarification

Answer:

33680

Step-by-step explanation:

help.....................

Answers

Answer:

Translation

Step-by-step explanation:

In a translation, every point of the object must be moved in the same direction and for the same distance. PLS MARK MY ANSWER AS THE BRAINLIEST!! PLS


Determine the rate of change from the graph.
On a coordinate plane, a line with positive slope goes through points (negative 3, 0) and (negative 1, 4).
The rate of change shown in the graph is .

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

I literally did it on edge 2020 and got it right.

Which equation can be used to find 40 percent of 25? StartFraction 25 divided by 1 Over 40 divided by 1 EndFraction = StartFraction 25 Over 40 EndFraction StartFraction 100 times 4 Over 40 times 4 EndFraction = StartFraction 400 Over 16 EndFraction StartFraction 40 times 4 Over 25 times 4 EndFraction = StartFraction 160 Over 100 EndFraction StartFraction 40 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 10 Over 25 EndFraction

Answers

Answer:

d

Step-by-step explanation:

Answer:

I think it's D

Step-by-step explanation:

Sorry if im wrong.

A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed . find the mean of the distribution of scores. carry your intermediate computations to at least four decimal places. round your answer to at least one decimal place.

Answers

Answer:         μ = 647.4

Step-by-step explanation:

The question says

"A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed"

And we are told to find the mean of the distribution scores.

Given mean μ = ?

we have from standard normal table that

P(Z > 1.282) = 0.1

Therefore the given Z score of a score of 750 is given thus 1.282.

the z score is given:

x - μ / α = 1.282

750 - μ / 80 = 1.282

Therefore μ = (750 - 80)*1.282 = 647.4

So we have that μ = 647.4

cheers i hope this helped !!!

what is cos 60 degrees

Answers

Answer:

0.5

Step-by-step explanation:

What expression represents 6 less than the quotient of a number and 4 is 15

Answers

The answer is B hope it helps

What is the result of 36 divided by 9? Use the number line to find the answer. A number line going from 0 to 39. The numbers 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, and 39 are marked on the line.

Answers

Answer:

4

Step-by-step explanation:

36/9=4

Answer:

4

Step-by-step explanation: division

what is the product of 4/5 × 2/5​

Answers

Answer:

8/25

Step-by-step explanation:

4/5 *2/5

Multiply the numerators

4*2 = 8

Multiply the denominators

5*5 = 25

8/25

Answer:

The answer would be 8/25 or 0.32

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The number of steps taken on a typical workday for each person in the sample was recorded. The mean was 9,797 steps and the standard deviation was 2,313 steps. a. Construct and interpret a 99 percent confidence interval for the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker.b. A wellness director at a company in New York City wants to investigate whether it is unusual for one person working in the city who wears an activity tracker to record approximately 8,500 steps on a typical workday. 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Our corn will fetch its price in any market in Europe, and our imported goodsmust be paid for, buy them where we will.But the injuries and disadvantages we sustain by that connection, are without number; and our duty to mankind at large, as well as to ourselves,instruct us to renounce the alliance: Because, any submission to or dependence on Great Britain, tends directly to involve this continent inEuropean wars and quarrels; and sets us at variance with nations, who would otherwise seek our friendship, and against whom, we have neitheranger nor complaint. As Europe is our market for trade, we ought to form no partial connection with any part of it. It is the true interest ofAmerica to steer clear of European contentions, which she never can do, while by her dependence on Britain, she is made the make-weight inthe scale of British politics.Europe is too thickly planted with kingdoms to be long at peace, and whenever a war breaks out between England and any foreign power, thetrade of America goes to ruin, BECAUSE OF HER CONNECTION WITH ENGLAND. The next war may not turn out like the last, and should it notthe advocates for reconciliation now, will be wishing for separation then, because, neutrality in that case, would be a safer convoy than a man ofwar. Every thing that is right or natural pleads for separation. The blood of the slain, the weeping voice of nature cries, 'TIS TIME TO PART. Eventhe distance at which the Almighty hath placed England and America, is a strong and natural proof, that the authority of the one, over the other,was never the design of Heaven. 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