prove that the points (2,-2),(-2,1) and (5,2) are the vertices of a right angled triangle. also find the area of this triangle

Answer:

The amount of discount is Rs.5,000

Step-by-step explanation:

The given parameters are;

The amount the shopkeeper sold her goods = Rs. 16,950

The percentage discount allowed = 25%

The VAT included in the sale = 13%

Therefore, we have;

Sale amount = Discounted price + VAT percentage × Discounted price

Discounted price = (100 - Percentage discount)/100×Display price

Sale amount = The amount the shopkeeper sold her goods = Rs. 16,950

Let the display price = X;

We have;

Discounted price = (100 - 25)/100×X = 0.75·X

Therefore;

Sale amount = 0.75·X+ 13/100 × 0.75·X

Rs. 16,9504 = 0.8475·X

X = Rs. 16,950/0.8475 = Rs.20,000

Therefore, the display price = Rs.20,000

The amount of discount = Percentage discount × Display price

The amount of discount = 25/100 × Rs.20,000 = Rs.5,000

The amount of discount = Rs.5,000.

Answer:

Volume of the hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]

Step-by-step explanation:

It's a picture of a globe and a globe of the Earth is in the shape of a sphere.

We know equator divides the earth into two equal halves and these equal halves are called as "hemisphere".

Therefore, a line joining the two extreme points of the diameter of the Earth divides the Earth into two hemispheres.

If the radius of the Earth is 'r',

Volume of the hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]

Answer:

44m

Step-by-step explanation:

A = [tex]\pi[/tex]r² = 154

   = 22/7 * r² = 154

   = r²  = 154 * 7/22

   = r²  = 49

   = r = √49

   = r = 7m

Perimeter of circle = 2[tex]\pi[/tex]r

                               = 2 * 22/7 * 7

                               = 44/7 * 7

                               = 44 m

Hope it helps

Mark it as Brainliest

Answer:

44m

Step-by-step explanation:

Area of circular field=154m²

Perimeter of the field=?

At first,

Area =22/7×r²

154m²= 22/7×r²

154×7/22=r²

49=r²

7×7=r²

7=r

Now,

Perimeter = 2×22/7×7

= 44m

Answer:

3/2

Step-by-step explanation:

To get x we need to isolate it

First, subtract both sides by 4 1/3

-x=2 3/4- 4 1/4

Find LCD

-x= 2 9/12- 4 3/12

Multiply both sides by -1

x=-2 9/12 +4 3/12

x=1 1/2 or 3/2

Answer:

242.52 cubic inches

Step-by-step explanation:

Volume of the cake pan = Length × Width × Height

From the about question, we have the following dimensions for the cake pan

8 inches wide = Width

11 inches long = Length

7 cm deep = Height

We are asked to find the maximum volume in inches. Hence all the dimensions have to be in inches.

Converting Height in cm to inches

From the question,

2.54 cm = 1 inch

7cm = x inch

Cross Multiply

2.54 × x = 7 × 1

x = 7/2.54

x = 2.7559055118 inches

Volume of the cake pan =

8 × 11 × 2.7559055118

= 242.51968504 cubic inches

Approximately, the volume of the cake pan = 242.52 cubic inches

What is the maximum volume, in cubic

inches, the cake pan can hold is 242.52 cubic inches

Answer: C 165

Step-by-step explanation:

30(5)+15= 165

Answer:

C

Step-by-step explanation:

Let's find the area of each of the two circles.

First Circle:

The first circle has a diameter of 10 inches. That means the radius is 5 inches. So, its area is:

[tex]A=\pi r^2\\A=\pi (5)^2\\A=25\pi[/tex]

Second Circle:

The second circle has a diameter twice that of the first. So, the diameter is 20 inches. This means that the radius is 10 inches. Find the area:

[tex]A=\pi r^2\\A=\pi (10)^2\\A=100\pi[/tex]

Now, find the ratio between them by dividing:

[tex]\frac{\text{Smaller}}{\text{Larger}}=\frac{25\pi}{100\pi}[/tex]

Simplify:

[tex]\frac{\text{Smaller}}{\text{Larger}}=\frac{1}{4}[/tex]

1/4 is the same as 1:4

So, our answer is C      :)

Answer:

15 bicycles and 6 skateboards.

Step-by-step explanation:

x+y = 21, since there are 21 total items in the shop

Answer:8.26402

Step-by-step explanation:

Answer:

28.3 square meters.

Step-by-step explanation:

So we know that the radius of the circle is 3 meters. With that, we can figure out the area of the circle.

The area of a circle is given by the formula:

[tex]A=\pi r^2[/tex]

Plug in 3 for r:

[tex]A=\pi (3)^2[/tex]

Square the number:

[tex]A=9\pi[/tex]

Use a calculator. Approximate:

[tex]A\approx28.2743\approx28.3[/tex]

Therefore, the area of the circle is approximately 28.3 square meters.

Answer:

28.3 m²

Step-by-step explanation:

The area of a circle can be found using the following formula.

[tex]a=\pi r^2[/tex]

We know the radius of the circle is 3 meters. We can substitute 3 m in for the variable, r.

[tex]a= \pi (3m)^2[/tex]

Evaluate the exponent.

(3m)² = 3m * 3m= 9 m²

[tex]a= \pi (9 m^2)[/tex]

Multiply pi and 9 meters squared.

9 m² * π = 28.2743339 m²

[tex]a=28.2743339 m^2[/tex]

Round to the nearest tenth. The 7 in the hundredth place tells us to round the 2 in the tenth place to an 3

[tex]a\approx 28.3 m^2[/tex].

The area is approximately 28.3 square meters.

Answer:

The answer is 35.

46-11=35

Answer:

35

Step-by-step explanation:

x-11

46-11

35

Answer:

handle your brain its easy

Answer:

12/(15+12+15+18)

12/60=0.2=20%

B 20%

please mark as brainliest

Answer:

D

Step-by-step explanation:

This would be a discrete graph  ( points) not a solid line.

This eliminates A and C

1 copy costs 20 cents

8 copies costs 1.60

The number of copies is the independent variable, so it should be plotted on the x axis

Answer:

The answer is D in this question, if you are on plato it may be different so just make sure the graph on choice d on here matches on your test

Step-by-step explanation:

Answer:

63°

Step-by-step explanation:

a = 27°

b = 180° - (a + 27°)

b = 180° - (27° + 27°)

b = 180° - 54°

b = 126°

By inscribed angle theorem:

c = 1/2 b = 1/2 * 126°

c = 63°

Answer:

45

Step-by-step explanation:

75x60=4500

4500/100=45

Answer:

£45

Step-by-step explanation:

Therefore, 75% of £60 is £45.

Answer: 65

Step-by-step explanation: Just divide the numbers, It's simple. 3835 divided by 59 equals 65

Hope this helps^^

Answer:

65 :)

Step-by-step explanation:

Answer:

(7, 7 )

Step-by-step explanation:

The translation rule

(x, y ) → (x + 5, y + 4 )

Means add 5 to the original x- coordinate and add 4 to the original y- coordinate, thus

(2, 3 ) → (2 + 5, 3 + 4 ) → (7, 7 )

Answer:

1 mile = 4 laps

3 miles = 12 laps

9/4 = x /1

9/4 = 2.25

he has run 2.25 miles = 9 laps

he needs to run 0.75 miles = 3 laps

Answer: 3. x>-1

Step-by-step explanation:

First, the dot is a open circle, which means the sign should be (> or <)

Which only 3 and 4 fits

Second, the line is going to the right, which mean it is greater than the starting value.

So it should be x>-1

Hope this helps!! :)

Please let me know if you have any question

Step-by-step explanation:

Hey, there!

The answer is option C.

Because as number lines has started from -1 and went to right side which shows it is greator than-1.

So, the answer must be option c.

[tex]i.e x>-1

Hope it helps...

The domain is {x∈R| x≠−2}

The range is {y∈R| y≠−5}

====================================================

Explanation:

Using the function, we can factor the numerator to get

x^2-x-6 = (x-3)(x+2)

Then the (x+2) terms cancel out leaving x-3 only

Therefore, f(x) simplifies to f(x) = x-3.

This produces the straight line graph that is shown. But there's a hole at (-2,-5)

Why is this? It's because plugging x = -2 into the original equation (before you simplify) leads to a division by zero error.

The denominator x+2 becomes -2+2 = 0 and we can't divide by zero.

If we plugged x = -2 into the simplified version of f(x), then we have

f(x) = x-3

f(-2) = -2-3

f(-2) = -5

Showing why the hole is at (-2,-5)

There is no way that x can equal -2, so this is why we kick it out of the domain. Similarly, there's no way to get to y = -5, and this value is kicked out of the range.

The notation x∈R means that x is in the real number set. Saying  {x∈R| x≠−2} means x is any real number but -2. The range is a similar story but we kick out -5 instead.

Answer:

Population

Step-by-step explanation:

If we know the root Demos means people and graphic means picture, let's put the english terms together.

Demo graphic

People graphic

So this is going to be a "People Graphic." So we know that Countries and Continents are ruled out.

Now I just used logic to figure out whether it's population or leaders. A map showing the leaders of something would be useless, but a map showing population is useful. So I assumed that a Demographic map shows population (I also looked it up to check, and yes this is right.)

Hope this helped!

Answer:

population

Step-by-step explanation:

people graphic

related to ppl so population

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]1\frac{5}{8}*2\frac{2}{3}=\frac{13}{8}*\frac{8}{3}\\\\\\=\frac{13}{3}\\\\\\=4\frac{1}{3}[/tex]

Answer:

4 1/3

Step-by-step explanation:

1 5/8 × 2 2/3

First we turn it into an improper fraction:

1 5/8 × 2 2/3 = 13/8 × 8/3

Now we multiply them across:

13/8 × 8/3 = 104/24

Now we simplify:

104/24 = 13/3

because 3 × 8 = 24 and 13 × 8 = 104

Now we simplify again because we can't leave it as an improper fraction. So we turn it into a mixed fraction:

13/3 = 4 1/3

4 1/3 is answer

Answer: 137

Step-by-step explanation:

The given expression: [tex]7x^2 +8x-7[/tex]

We need to find the value of the expression when x=4.

So we just use the substitution property and substitute the value of x= 4 in the given expression , we get

[tex]7(4)^2+8(4)-7\\\\= 7(16)+32-7\\\\= 112+25\\\\=137[/tex]

Hence, the value of the expression at x=4 is 137.

Answer:

2

Step-by-step explanation:

Answer: A: hours per acre. B. 4 1/8÷2 3/4 C. 4 1/8÷2 3/4=33/8÷11/4

Step-by-step explanation:

Answer:

a. 5 represents the number of calories that come from other ingredients.

b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.

c. c = 5.5

Step-by-step explanation:

We are given the equation:

[tex]4c + 5 = 27[/tex]

Where [tex]c[/tex] represents the grams of carbohydrates

27 is the total number of calories that are received by the granola bite.

4 is the number of calories from 1 gram of carbohydrates and

5 is the number of calories that are received from other ingredients.

Answer of Part a:

5 is the number of calories that are received from other ingredients.

Part b:

Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.

So, LHS becomes:

4 \times 8 + 5 = 37 [tex]\neq RHS\ i.e.\ 27[/tex]

4 \times 3 + 5 = 17 [tex]\neq RHS\ i.e.\ 27[/tex]

So, Priya is correct that neither 8 or 3 could be solution.

Part c:

[tex]4c + 5 = 27\\\Rightarrow 4c = 22\\\Rightarrow \bold{c = 5.5}[/tex]

So, solution to the equation is: c = 5.5

Answer:

The answer is going to be A. Equality property

Answer:

2 x 2 x 2 x 3 x 3 = 72