How can the area of this triangle be determined by forming a rectangle?

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Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is
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units. The width of the rectangle is
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units. The area of the rectangle is
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square units.

The area of the triangle is half the area of the rectangle, so the area of the triangle is
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square units.

Answer: The actual length of the swing set area of the park is 25 ft long and 100 ft wide.

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

For the given case, it is given that Real dimension of a rectangular park: 600 ft by 1000 ft In drawing, it was of 12 inches by 20 inches. Let the scale that the drawing is using be k feet to s inches, then.

Since it is given that 600 ft: 12 inches and 1000 ft: 20 inches, thus, we get: Thus, every foot is reduced 0.02 times in drawing.

Now, it is given that in drawing, the rectangular area for swing sets is 0.5 inch to 2 inch. Let its real length was L and real width was W. Then we have:

Since these are only magnitudes, and unit was converted from feet to inches, so we have L = 25 feet and W = 100 feet

Thus, the actual length of the swing set area of the park is 25 ft long and 100 ft wide

Answer:

The dimensions of the park on the scale drawing is 12 inches and 20 inches.

Dimension

Actual dimensions:

Park = 600 feet by 1000 feet

Swing set = 25 feet by 100 feet

Swing set on the scale drawing= 0.5 inch by 2 inches

Hence:

Dimension of park on drawing:

Width =  600×1/50

Width = 12inches

Length = 1000×1/50

Length= 20inches

Inconclusion the dimensions of the park on the scale drawing is 12 inches and 20 inches.

Answer:

$41.67

Step-by-step explanation:

To save at least $500 in 12 months, Daksha must save an average of at least $500/12 = $41.67 per month.

To find the minimum amount she must save each month, we can assume she saves a constant amount each month, and solve for that amount.

Let x be the amount she saves each month. Then over 12 months, she will have saved 12x dollars. To meet her goal of saving at least $500, we need:

12x ≥ 500

Solving for x, we get:

x ≥ 500/12

x ≥ 41.67

Therefore, Daksha must save at least $41.67 each month to save at least $500 in 12 months.

Step-by-step explanation:

1) +8

2) -8

3) -7

4) +7

5) +5

6) -5

:)

Answer:

a= -4p^2 - 4pq + 5q^2 - 2

b= -3x + 3y

Step-by-step explanation:

Answer:

To determine whether the relation is a function or not, we need to check if each input value (x) is associated with exactly one output value (y).

Looking at the given set of points (-5, 1), (-3, 0), (0, -3), (2, 3), (5, -1), and (5, 1), we can see that some of the input values are associated with more than one output value. Specifically, the input value of 5 is associated with two different output values: -1 and 1.

Therefore, the relation is not a function because there is not exactly one output value for each input value.

The correct answer is: No, because for each input there is not exactly one output.

Answer:

Step-by-step explanation:

Answer:

To determine whether the relation is a function or not, we need to check if each input value (x) is associated with exactly one output value (y).

Looking at the given set of points (-5, 1), (-3, 0), (0, -3), (2, 3), (5, -1), and (5, 1), we can see that some of the input values are associated with more than one output value. Specifically, the input value of 5 is associated with two different output values: -1 and 1.

Therefore, the relation is not a function because there is not exactly one output value for each input value.

The correct answer is: No, because for each input there is not exactly one output.

Step-by-step explanation:

angle 7 is also 48° because opposite angles are equal

Answer:

21

Step-by-step explanation:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to a fraction if you use 1 as the denominator:

36/1

So now that we've converted 36 into a fraction, to work out the answer, we put the fraction 7/12 side by side with our new fraction, 36/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

7/12 x 36/1 = 252/12

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 252 and 12 is 12.

We can now divide both the new numerator and the denominator by 12 to simplify this fraction down to its lowest terms.

252/12 = 21

12/12 = 1

When we put that together, we can see that our complete answer is:

21/1

The complete and simplified answer to the question what is 7/12 of 36 is:

21

Answer:

y=2x

Step-by-step explanation:

this is because if you divide 120 by 60 you get 2

Answer:

No

Step-by-step explanation:

Pi (π) is a mathematical constant representing the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. Therefore, it is not possible to solve for pi in the traditional sense.

However, pi can be approximated to a certain number of decimal places using various mathematical methods, such as the Monte Carlo method or numerical integration. The commonly used approximation for pi is 3.14159265358979323846, but the actual value of pi has an infinite number of decimal places and cannot be fully calculated.

Answer:

You can't

Step-by-step explanation:

Pi is already a constant rate if that is what you want to call it. pi is 3.14159265359

Answer:-1, -1/2, -1/4, 1/8, 3/4

Step-by-step explanation:

Answer: -1, -1/2, -1/4, 1/8, 3/4 (This answer is already correct)

Answer:

-1, -1/2, -1/4, -1/8, 3/4

Answer:     -1, -1/2, -1/4, 1/8, 3/4.

Step-by-step explanation:

Answer:

It will be an option A) 1/2

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

As the change in  speed of both cars is zero therefore tangential acceleration of both cars will be zero .

now centripetal acceleration is given by

 a=v2/r

where, r= radius and v= linear velocity ,

for blue car  ab=302/r

for grey van  ag =152/r

radius is same for both as they round the same turn ,

So, ab /ag = 30 2/15

2 =4 or a

b =4a/g

​

Answer:

C. 65

Step-by-step explanation:

The 5 stem has scores of 52, 55, and 57.

The 6 stem has scores of 64, and 66.

The 7 stem has scores of 73, 75, and 79.

Together, the data is: 52, 55, 57, 64, 66, 73, 75, and 79.

The median is the middle number. We can cross out the two outside numbers and go in from there.

52 and 79 are crossed out. 55 and 75 are crossed out. 57 and 73 are crossed out.

When there are two numbers in the middle instead of one (ideally, the one left after this process is the answer), you go between those. Between 64 and 66 is 65.

Answer:

b = 17

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

3m + 3m + 12m + 3m + 3m + 14m + 18m + 14m

The reason I added 18m in there is because the bottom line is 18m. If the top line is 12m, then you add 3m on each side, making it 18m.

Have a nice day and please mark brainliest!

Answer:Answer is B

Total scores/total frequency =mean

54/24=2,25

If you added a score of 1

55/25=2,2

Step-by-step explanation:

hope it helps you

Step-by-step explanation:

To calculate the probability of home and away wins, we need to know how many wins the team had at home and away, respectively.

Let's assume that the team won x games at home and y games away, where x and y are unknown variables. Then we know that:

x + y = total number of wins (which we'll denote as W)

x + (12 - y) = 12 (the number of home games)

(12 - x) + y = 12 (the number of away games)

Solving these equations for x and y, we get:

x = (W + 12) / 2 - 12

y = (W + 12) / 2 - 12

Now, let's say the team won 8 games in total. Then, using the equations above, we can calculate that:

x = 2 (i.e., they won 2 games at home)

y = 6 (i.e., they won 6 games away)

Therefore, the probability of a home win is 2/12 = 1/6, and the probability of an away win is 6/12 = 1/2.

Based on these calculations, Sasha is correct in her belief that the team plays better away. The probability of an away win is higher than the probability of a home win.

Answer:

4ft high

Step-by-step explanation:

Answer: 1/3

1/3 × 15 = 5

1/3 × 6 = 2

Step-by-step explanation:

i think bro still needs the answer

Answer:

27.075L

Step-by-step explanation:

final quantity the milk seller had = milk before adding Water + water added

23.45 + 3.625

27.075L

Answer:

Step-by-step explanation: given: quantity of milk=23.45

quantity of water=3.625

(he added 3.625 L water in the 23.45L milk)

quantity of milk+quantity of water

23.45+3.625

=27.075L

therefore, quantity of resultant mixture is 27.075 Liter

Answer:

a. The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. We know that A = 46cm^2 and b = 23cm. Substituting these values into the formula, we get:

46cm^2 = (1/2)(23cm)(h)

Simplifying, we get:

46cm^2 = 11.5cm*h

Dividing both sides by 11.5cm, we get:

h = 4cm

Therefore, the missing side of the right triangle is 4cm.

b. Using the same formula, we can find the height of the triangle:

120cm^2 = (1/2)(40cm)(h)

Simplifying, we get:

120cm^2 = 20cm*h

Dividing both sides by 20cm, we get:

h = 6cm

Therefore, the missing side of the right triangle is 6cm.

c. Again, using the same formula, we can find the height of the triangle:

12m^2 = (1/2)(20m)(h)

Simplifying, we get:

12m^2 = 10m*h

Dividing both sides by 10m, we get:

h = 1.2m

Therefore, the missing side of the right triangle is 1.2m.

Answer:

[tex] \frac{1}{15} [/tex]

Step-by-step explanation:

[tex] \frac{1}{5} \div 3 = \frac{1}{5} \div \frac{3}{1} = \frac{1}{5} \times \frac{1}{3} = \frac{1}{15} [/tex]

Answer:

1/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part A:  step 1 is correct, step 2 is wrong.  Right side of the equation should be 12 - 21 = -9

Part B:

-14x + 21 = 30x + 12

-14x - 30x = 12 - 21

-44x = -9

x = -9/-44 = 9/44

Answer: +6

Step-by-step explanation:

0 - (-6)

= 0+6

= 6