Three points representing the corners of a rectangular garden are A (-7, 3), B (7, 3) and C (7, -3). How could you use the coordinate plane below to find the coordinates of the fourth corner, point D? What are the coordinates of the point?​

The area of a trapezium with the given dimensions is: 198 cm²

Area of a trapezium = 1/2(a + b)h, where h is the heght of the trapezium and a and b are the length of its bases.

Given the following:

Area of a trapezium = 1/2(12 + 21)12

Area of a trapezium = 198 cm²

Learn more about the area of trapezium on:

https://brainly.com/question/1463152

Answer:

[tex]10 \frac{5}{6}\\\\5 \frac{5}{6}[/tex]

Step-by-step explanation:

[tex]5 \times 2 \frac{1}{6} \\ \\ = 5 \times \frac{13}{6} \\ \\ = \frac{65}{6} \\ \\ = 10 \frac{5}{6} \\ \\ \\ 3 \frac{1}{2} \times 1 \frac{2}{3} \\ \\ = \frac{7}{2} \times \frac{5}{3} \\ \\ = \frac{35}{6} \\ \\ = 5 \frac{5}{6} [/tex]

Consider the first radical :

[tex]{:\implies \quad \sf 5\times 2\dfrac16}[/tex]

Using the properties of mixed fraction, writing the mixed fraction as an improper fraction, we will be having

[tex]{:\implies \quad \sf 5\times \bigg(\dfrac{6\times 2+1}{6}\bigg)}[/tex]

[tex]{:\implies \quad \sf 5\times \bigg(\dfrac{12+1}{6}\bigg)}[/tex]

[tex]{:\implies \quad \sf 5\times \dfrac{13}{6}}[/tex]

[tex]{:\implies \quad \sf \dfrac{65}{6}}[/tex]

[tex]{:\implies \quad \boxed{\bf{10\dfrac56}}}[/tex]

Hence, Option D) is correct

Now, coming to the 2nd question :

[tex]{:\implies \quad \sf 3\dfrac{1}{2}\times 1\dfrac{2}{3}}[/tex]

[tex]{:\implies \quad \sf \bigg(\dfrac{3\times 2+1}{2}\bigg)\times \bigg(\dfrac{3\times 1+2}{3}\bigg)}[/tex]

[tex]{:\implies \quad \sf \bigg(\dfrac{6+1}{2}\bigg)\times \bigg(\dfrac{3+2}{3}\bigg)}[/tex]

[tex]{:\implies \quad \sf \dfrac{7}{2}\times \dfrac{5}{3}}[/tex]

[tex]{:\implies \quad \sf \dfrac{35}{6}}[/tex]

Now, Rewriting this improper fraction as mixed fraction, we will be having :

[tex]{:\implies \quad \boxed{\bf{5\dfrac56}}}[/tex]

Hence, Option C) is correct

Answer:

23.5

Step-by-step explanation:

So this is a parallelogram so the area formlula is b*h=47? That's a no go. It is saying that if the base is 1/4th and the height is increasing by 2 so basically 1/4b*2h=1/2bh bh so it will be represented as 47 so 1/2*47=23.5

Answer:

1 and a half hours < 100 mins

Step-by-step explanation:

1 and a half hours is equal to :

1 hour = 60 mins

half hour = 30 mins

60 + 30 = 90 mins

90 min is less than 100 mins

Therefore / ∴ :

1 and a half hours < 100 mins

Answer:

its A

Step-by-step explanation:

8-3=5 and 9/10-4/10=5/10=1/2

Answer:

A. 5 1/2

Step-by-step explanation:

[tex]8\frac{9}{10}-3\frac{4}{10}\\\text{Convert the mixed numbers into improper fractions.}\\(\frac{80}{10}+\frac{9}{10})-(\frac{30}{10}+\frac{4}{10})\\\text{Combine the fractions.}\\\frac{89}{10}-\frac{34}{10}\\\text{Since the denominators are the same, simply subtract the numerators.}\\\frac{89-34}{10}\\\frac{55}{10}\\\text{Split the fraction into two so one part becomes a whole number.}\\\frac{50}{10}+\frac{5}{10}\\\text{Evaluate 50 over 10.}\\5+\frac{5}{10}\\\text{Simplify the fraction 5/10.}\\[/tex]

[tex]5+\frac{5/5}{10/5}\\5+\frac{1}{2}\\\text{Combine the mixed number.}\\5\frac{1}{2}[/tex]

Answer:

1.

r = 12 m.

d = 24 m.

circumference: 75.36 m² or 24π m²

2.

r = 10 cm.

d = 20 cm.

circumference: 62.8 cm² or 20π cm²

3.

r = 4 dm.

d = 24 dm.

circumference: 25.12 dm² or 8π dm²

Step-by-step explanation:

Substitute the the values of the table into the formula:

1.

r = 12 m.

d = 24 m.

circumference: 75.36 m² or 24π m²

2πr

2 * 3.14 * 12

3.14 * 24

75.36 m² or 24π m² <== circumference

12 * 2 = 24 m <== diameter

2.

r = 10 cm.

d = 20 cm.

circumference: 62.8 cm² or 20π cm²

r = 20/2 = 10 cm <== radius

2πr

2 * 3.14 * 10

3.14 * 20

62.8 cm² or 20π cm² <== circumference

3.

r = 4 dm.

d = 24 dm.

circumference: 25.12 dm² or 8π dm²

2πr

2 * 3.14 * 4

3.14 * 8

25.12 dm² or 8π dm² <== circumference

4 * 2 = 8 dm <== diameter

Hope this helps!

The given circle has its center at (−3,3) and has a radius of 5 units. Then, the shortest distance D between the point and the circle is given by.

Answer:

4(5+8)

Step-by-step explanation:

The GCF of 20 and 32 is 4. Then you divide 20 and 34 by 4.

Answer:

18.84

Step-by-step explanation:

Circumference = 2 * PI * R

2 * 3.14 * 3 = 18.84

The inverse function of the function 5y + 4 = (x + 3)² + 0.5 is shown below. Then the correct option is D.

[tex]\rm y= \pm \sqrt{5x + \dfrac{7}{2}} - 3[/tex]

Suppose that the given function is

[tex]f:X\rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

[tex]f^{-1}: Y \rightarrow X[/tex]

such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]

(and vice versa).

It simply means, the inverse of 'f' is a reverse operator, that takes back the effect of 'f'

The equation is given below.

[tex]\rm 5y + 4 = (x+3)^2 + \dfrac{1}{2}[/tex]

Then y will be

[tex]\rm 5y = (x+3)^2 + \dfrac{1}{2} - 4\\\\\rm y \ \ = \dfrac{(x+3)^2}{5} - \dfrac{7}{10}[/tex]

The replace y by x and x by y, then we have

[tex]\begin{aligned} x &= \dfrac{2(y+3)^2}{10} - \dfrac{7}{10}\\\\\dfrac{10x + 7}{2} &= (y + 3)^2 \\\\\sqrt{5x + \dfrac{7}{2}} &= y + 3\\\\y &= \pm \sqrt{5x + \dfrac{7}{2}} - 3 \end{aligned}[/tex]

More about the inverse function link is given below.

https://brainly.com/question/2541698

Answer: D

Step-by-step explanation:

The 2022 Russian Invasion of Ukraine began due to the cause of the collapse of the Soviet Union, which was sped along by the independence of the baltic states in 1990. When Ukraine left the USSR in 1991 and gave it's nuclear weapons to Russia in 2006, it began clear that Ukraine needed to be returned back into the hands of Moscow, before becoming another frontline for the NATO Army to invade the Russian Federation from the west, with more support from Japan in the east. Oh and I did the Edge test in 2022 so thats how I know it's D.

Answer:

What type of question is this

Answer:

The area of a rectangle is given by A = l × w, where l is the length and w is the width.

The length (l) and width (w) of the small rectangle are 14 feet and 6 feet, respectively, so the area of the small rectangle (As) is:

AS  =  14 ft. × 6 ft.

= 84 sq. ft.

The length (l) and width (w) of the large rectangle are 20 feet and 7 feet, respectively, so the area of the large rectangle (Al) is:

Al  =  20 ft. × 7 ft.

= 140 sq. ft.

The area of a triangle is given by , where b is the base and h is the height of the triangle.

The base and height of the triangle both measure 6 feet, so the area of the triangle (At) is:

   ft.  ft.

  sq. ft.

  sq. ft.

Step-by-step explanation:

Answer:

i think 31

Step-by-step explanation:

By using Pythagoras theorem.

Therefore ML= 17...

Step-by-step explanation:

Hope it helps....Mark me brilliant

Answer:

2.13

Step-by-step explanation:

cos 62⁰=10/x=0.47

x=10/0.47≈2.13

Answer:

Step-by-step explanation:

I think the answer is 0-1, but i will have to see the answers to determine.

Hope it helps!

The graph shown is the second derivative

   ⇒ first derivative equals the area between

          - the second derivative function from 0 to 2

          - the axis

Thus the first derivative f(2) equals [tex]8 + c[/tex]

However there is an inital position for the first derivative ⇒ f(0) = 2.5

Therefore we must add the initial position to the first derivative found

  f(2) = 8 + 2.5 = 10.5

Hope that helps!

Answer:

22 vegetables

Step-by-step explanation:

Set the #number of molded vegatables in dumpster 1 as X

The number of molded vegetables in 2 is x + 45 and the number of molded vegies in 3 is x + 45 + 80

x + x + 45 + x + 45 + 80 = 236 (combine similar terms)

         Thats 3x = 66

Which equas 22

Answer:

the patters is that they are multiple of 7.. so next number is 42.

which means option D The missing number is even is correct..

Answer:

its b

Step-by-step explanation:

just took the test

Answer:

Its C

Step-by-step explanation:

Have a good day!

Answer:

maybe 58 or 59  

Step-by-step explanation: bad at the so sorry.

Answer:

Step-by-step explanation:

(i) a^a + b^b

for a=3 and b= -2

3^3 + -2^(-2)

          -2^(-2) = -(1/2^2)

3^3  -(1/2^2)

27 - (1/4)

26 3/4

ii) a^b + b^a

a^b + b^a

for a=3 and b= -2

3^(-2) + (-2)^3

1/3^2 + (-2)(-2)(-2)

1/9 - 8

-7 8/9

Answer:

seek god

Step-by-step explanation:

dang maybe the 2nd one

Answer:

Step-by-step explanation:

Algebraically, it was possible to show that the point (2,0) is on the side (PR) of the given triangle.

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  In this triangle from the trigonometric ratios or the Pythagoras Theorem ([tex](hypotenuse)^2=(side_1)^2+(side_2)^2[/tex]), it is possible finding angles or sides.

The question gives the points for a right triangle, you can draw the triangle, see the attached image. From the figure, it is possible to see the lengths for the sides PQ=8 and QR=10.

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope. If

b=the constant term that represents the y-intercept.

The slope for the line PR can be calculated from the ratio between the side PQ and QR.

[tex]a=\frac{PQ}{QR}=\frac{4-(-4)}{(-3-7)}=\frac{8}{-10} =-0.8[/tex]

From the attached figure, it is possible to see that the y-intercept is (2,0). Therefore, the given point is on the side PR, but the question asks to show this algebraically.

From the Standard form (ax+b), the equation for the line PR will be:                      y=- 0.8x+b. After that, you should replace the coordinates of the given point P (-3,4) in the equation line:  y=-0.8x+b for finding b.

4=-0.8*(-3)+b

4=2.4+b

b=4-2.4= 1.6

Then, the equation line y=-0.8x+1.6.

Now you should replace the x-coordinate for the point (2,0) in the equation  y=-0.8x+1.6.

y=-0.8*2+1.6

y=-1.6+1.6

y=0

The calculated y-coordinate is the same the y-coordinate for the point (2,0), thus the point (2,0) is on the side of the triangle.

Read more about the linear equation here:

brainly.com/question/12242745                                        

Answer:

Step-by-step explanation:

1 is in the tenth place

[tex]\sf 1's \ value = \dfrac{1}{10}[/tex]

Answer: 32c-1 is one of them

Step-by-step explanation: