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Answer:

Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)

1 hectare = $36

$486 = 13.5 hectares

13.5 hectares = 1/2 × b × h

To get b × h, you use the reverse of the formula. Hence:

13.5 = 1/2 × b × h

13.5 ÷ 1/2 = b × h

               = 27

27 is b × h.

The question states that the base is three times the height. Hence:

b = 3u

h = 1u

b × h = 27

        = 3u × 1u

Thus, we need to find one value which is three times the other, in order to get a product of 27.

Factors of 27:

1 × 27

3 × 9

9 is three times of 3. Thus, the base is 9, while the height is 3.

Answer:

x = 14

Step-by-step explanation:

1. We know that all angle measures in a triangle sum to 180 degrees.

2. (Solving)

Step 1: Combine like terms.

Step 2: Add 16 to both sides.

Step 3: Divide both sides by 14.

Step 2: Check if solution is correct.

Therefore, the answer is x = 14.

Answer:

120°

Step-by-step explanation:

Opposite angles in a cross of 2 lines like this are equal;

A = 120 and B = D = 60°

Answer:

∠ A = 120°

Step-by-step explanation:

∠ A and 120° are vertically opposite angles and are congruent , so

∠ A = 120°

Answer:

145°

Step-by-step explanation:

See the attachment.  Angles A, B, and C all belong to the triangle.

We know that A + B + C = 180° since the angles of a triangle always add to 180°.  We also know that when two lines meet that their sum is also equal to 180°.  So we can write for each interior angle the following:

                                     Result

<A = (180 - 88)                72

<B = (180-x)                  180-x

<C = (180 - 127)               53

The sum of angles A, B, and C is equal to 180:

 72 + (180-x) + 53 = 180

Answer:

A = 99.84 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 9.6 and h = 10.4 , then

A = 9.6 × 10.4 = 99.84 cm²

Step-by-step explanation:

We can see that this parallelogram is two right angles joined side by side. Normally the area of a parallelogram is Base x Height.

But let's make an exception.

For the first right angle. The area = 1/4(b+h)

¼(10.4+9.6) = 5cm²

We see that the base of the triangle is flipped and the angles correspond

so, the area would be 5cm² * 2

= 10cm²

Answer:

EG = 12.2

Step-by-step explanation:

Since HG = HE = 14 then the triangle is isosceles.

HF is a perpendicular bisector of EG , then

EF = FG = 6.1 , so

EG = EF + FG = 6.1 + 6.1 = 12.2

Answer:

The nth term of the sequence is given. Find the first 4 terms, a10, and a15 2 What is the first term? a1 = (Type an integer or a simplified fraction.) What is the second term? a2 = (Type an integer or a simplified fraction.) What is the third term? a,-| (Type an integer or a simplified fraction.) What is the fourth term? a4(Type an integer or a simplified fraction.) What is the tenth term❤

Nathan bought a bicycle for $230 at an auction. Nathan sells the bike for $299 at a 30% markup.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Nathan bought a bicycle for $230 at an auction. He fixed it up and sold it at a 30% markup.

So, the markup price, we get

30% of $230

= 30/100 x 230

= 3 x 23

= 69

Total selling price = 230 + 69

                             = 299

Thus, Nathan sells the bike for $299.

Learn more about percentages;

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Answer:

50mph

Step-by-step explanation:

first divide 150 by 3 and you get 50

then divide 350 by 7 you get 50

and finally divide 500 by 10 and you get 50

Answer:

  A) 1: linear; 2: exponential (see equations in part B)

  B) the value of 2 will be almost 15% greater

Step-by-step explanation:

As is often the case with multi-part questions, later parts of the question answer earlier parts. The equations shown in Part B are linear for Option 1 and exponential for Option 2.

The table values for Option 1 have a common difference of (1200 -1100) = 100.

The table values for Option 2 have a common ratio of (1210/1100) = 1.10.

Linear functions produce sequential values with a common difference (the slope of the function). Option 1 is linear.

Exponential functions produce sequential values with a common ratio (the growth factor). Option 2 is exponential.

__

The investment values after 7 years will be ...

  Option 1: f(7) = 100(7) +1000 = 1700

  Option 2: g(7) = 1000(1.1^7) ≈ 1948.72

The value of Option 2 will be about $248.72 higher, or 14.6% higher than the value of Option 1. Whether that is significant or not is in the eye of the beholder. Many people might consider that to be significantly better performance. (It would take another 2 1/2 years for Option 1 to have that value.)

Answer:

20z

Step-by-step explanation:

just times 20*z which give you 20z

Answer:

The slope is 30 and it represents the distance the car can travel per gallon of gas used

Step-by-step explanation:

We just need to look at the x=1 and find the y in order to find the slope and here we see that when x=1, then the y=30 so, therefore, the slope is 30

It represents the number of miles the car can drive per gallons of gas used as we can see that we are comparing the gas used with the distance traveled, so therefore it is comparing the distance the car can travel based on the gas used.

Answer :

4x-ay=15

Step-by-step explanation:

[tex]\dfrac 57 \cdot x = \dfrac 5{21}\\\\\\\implies \dfrac x 7 = \dfrac 1{21}\\\\\\\implies 21x = 7\\\\\implies x = \dfrac{7}{21}\\\\\\ \text{Hence}~\dfrac 57 ~ \text{of}~~ \dfrac{7}{21}~ ~\text{is}~ \dfrac{5}{21}[/tex]

Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

11-3/9-9

8/0

0

slope=0

Answer: (3 , 7)

Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.

cos (75)=cos (15) nothing square and check

Answer: your answer would be 2

Step-by-step explanation:

Answer: Do the math, the positive solution

t = 5.0495 seconds (If it's wrong sorry, I havent done a problem like this one in awhile!)

Step-by-step explanation:

Answer:

1200000

Step-by-step explanation:

First, convert the 8 hours into minutes 8 hours * 60 minutes = 480 minutes

Then just do 2500 dollars * 480 minutes = 1200000

Answer:

$1,200,000

Step-by-step explanation:

We 1st multiply 2,500 by 60 due to 60 minutes being in 1 hour and get 150,000

We now know that in 1 hour you make 150,000 and to find out how much you make in 8 we then multiply 150,000 by 8 which equals $1,200,000.

I hope this helps have a great day and happy holidays :)

Answer:

hindi ko po gets

yan sorry

Answer:

67 gallons at 335 minutes

81 gallons at 405 minutes

Step-by-step explanation:

I plotted the points and determined they form a straight line, with a slope of 3 and a y-intercept of 0.

In the form of y=mx+b,

this fill behavior can be represented as y = (1/5)x + 0, or y = (1/5)x

y is the volume in gallons and x is the time in minutes.  The slope, (1/5), is the rate of filling the tank, in gallons/minute.

The solutions for 335 and 405 minutes may be found either by marking them on the graph (attached), of by simple calculation:

At 335 minutes, y = (1/5)(335), or 67 gallons

At 405 minutes, y = (1/5)(405) = 81 gallons

Step-by-step explanation:

tricky, as the sequence does not define the input values.

by we can assume that the corresponding input values are 1, 2, 3, 4, 5, ... as it is usual for a sequence.

in that sense, b is the correct answer.

The sequence is a function because each input is a natural number with a single output number in the sequence.

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.

Given the sequence {4, 7, 10, 13, 16, ...},

Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next item in the sequence is obtained by multiplying the previous term by 3.

a₂ - a₁ = 7 - 4 = 3

a₃ - a₂ = 10 - 7 = 3

the difference in output is the same for all the numbers in sequence.

Hence the sequence is the function of the Arithmetic Sequence.

Learn more about arithmetic progression;

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Answer:

hypotenuse Pythagoras property

Answer:

Please check the formatting when posting.  I'm assuming these are the equations:

y=x^2 - 2

y=−x

Step-by-step explanation:

We can either graph the equations or solve them.  I use graphing - see the attachment.  The lines intersect at (-2, 2) and (1,-1)

1.  Graphing

See attached graph

(-2, 2) and (1,-1) are the intersection points

2.  Solving

y=x^2 - 2  Use y=−x in this equation:

-x = x^2 - 2

0 = x^2 + x - 2

0 = (x+2)(x-1)

x = -2 and +1

(-2, 2) and (1,-1) are the intersection points

Answer:

[tex]to \: know \: \: the \: solution[/tex]

[tex]refer \: to \: the \: attatchment[/tex]

Answer: #2 CD=CA

Step-by-step explanation:

So sorry if wrong but i think it may be right.

GOOD LUCK!!

Answer:

Minimum: 29

Lower Quartile: 35

Median: 43

Upper Quartile: 46

Maximum: 60

Interquartile Range: 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=-1/3x+9

This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3).  The new slope is 3.  equation is:

y = 3x + b

To find b, enter the given point, (-6,-2) and solve for b:

y = 3x + b

-2 = 3(-6) + b

-2 = -18 + b

b = 16

The full equation is y=3x + 18