15. A lamp is on sale at £22.05 This is a 10% reduction of the normal price. What was the price of the lamp before the reduction?

Answer:

8.98π = 28.22 in^2.

Step-by-step explanation:

Area of the whole circle = πr^2 = 7^2 * π

= 49π

So the area of sector MOR

= (66/360) * 49π

= 8.98π = 28.22 in^2.

this is simplify? I think it's simplify so I can give you an answer

Answer:

we have to convert that question centimeters to meters

Step-by-step explanation:

I think all are going to be less as you change all of them.

Answer:

d

Step-by-step explanation:

Quantity of paint used = (2/3) of (1/2)

      [tex]=\frac{2}{3}*\frac{1}{2}\\\\=\frac{1}{3}[/tex]

Quantity left in the can = [tex]\frac{1}{2}-\frac{1}{3}[/tex]

   [tex]= \frac{1*3}{2*3}-\frac{1*2}{3*2}\\\\=\frac{3}{6}-\frac{2}{6}\\\\=\frac{1}{6}[/tex]

Answer:

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42

Step-by-step explanation:

Let's assume

number of child tickets sold on saturday is x

number of adult tickets sold on saturday is y

On saturday, twice as many adult tickets as child tickets were sold

so, we get

child admission is $6.30 and adult admission is $9.60

a total sales of $535.50

we get

now, we can plug y=2x

now, we can solve for x

now, we can find y

so,

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42.........Answer

Answer:

1 feet = 12 inch

so, 3 feet = 36 feet

therefore, 3 feet is greater than 30 inch

Answer:

Yes, 3o inches is greater than 3 feet

Step-by-step explanation:

Answer:

m<D = 170°

Step-by-step explanation:

In a pentagon, the angles add up to 540°. This means the sum of <A, <B, <C, <D, and <E add up to that, and we can write an equation:

m<A + m<B + m<C + m<D + m<E = 540°

We are already given the measures of all the angles except D, so we can substitute them in:

87° + 125° + 63° + m<D + 95° = 540°

Now, we can simplify and solve for <D:

m<D + 370° = 540°

m<D = 170°

Step-by-step explanation:

here's the answer to your question

Answer:

[tex]\sf{}[/tex]

Step-by-step explanation:

a+10 = 90

a = 90-10

a = 80

therefore a = b

b = 80

Answer:

Angles are : 40 , 50

Step-by-step explanation:

Sum of complementary  angles are 90

a + a + 10 = 90

 2a + 10 = 90

         2a = 90 - 10

        2a = 80

          a = 80/2

a = 40

a + 10 = 40 + 10 = 50

Angles are : 40 , 50

The correct answer is A) 180° rotation about the origin, followed by a translation (x, y) → (x - 2, y + 1).B) 180° rotation about the origin, followed by a translation (x, y) → (x + 2, y - 1).C) Reflection along the line y = x, followed by a 180° rotation about the origin.D) Reflection along the y-axis, followed by a 180° rotation about the origin.

To identify the compositions of transformations that map XYZ onto X"Y"Z", we need to analyze each option and determine the combination of transformations.

A) Translation: (x,y) - (x - 2, y + 1); 180° rotation about the origin

This option consists of a translation and a 180° rotation about the origin. To identify the composition, we perform the operations in reverse order. First, we apply the 180° rotation, and then the translation. Therefore, the composition of transformations for option A is a 180° rotation about the origin followed by a translation of (x, y) → (x - 2, y + 1).

B) Translation: (x,y) - (x + 2, y - 1); 180° rotation about the origin

Similar to option A, this option involves a translation and a 180° rotation. Again, we reverse the order of operations to determine the composition. So, the composition of transformations for option B is a 180° rotation about the origin followed by a translation of (x, y) → (x + 2, y - 1).

C) Reflection along the line y = x; 180° rotation about the origin

This option includes a reflection along the line y = x and a 180° rotation. The order of operations is important, so we perform the reflection first and then the rotation. Hence, the composition of transformations for option C is a reflection along the line y = x followed by a 180° rotation about the origin.

D) Reflection along the y-axis; 180° rotation about the origin

Option D involves a reflection along the y-axis and a 180° rotation. As with the previous options, we need to reverse the order. Thus, the composition of transformations for option D is a reflection along the y-axis followed by a 180° rotation about the origin.

In summary:

A) Composition: 180° rotation about the origin, then a translation (x, y) → (x - 2, y + 1).

B) Composition: 180° rotation about the origin, then a translation (x, y) → (x + 2, y - 1).

C) Composition: Reflection along the line y = x, then a 180° rotation about the origin.

D) Composition: Reflection along the y-axis, then a 180° rotation about the origin.

Learn more about rotation here:

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Answer:

(a square +7a+12) ÷(a+3)

Answer:

a. You can find the value of 4w by using inverse operations. Subtract 8 from both sides in the equation 4w+8=32. You will get 4w=24. Now, you divide 4 by both sides to get w by itself. You will soon get 6. Now multiply 6 and 4, coming to the conclusion that 4w=24.

b. To find the value of w using the value of 4w, which is 24, simply use inverse operations once more. Using the equation 4w=24, we can use division and divide 4 by both sides, leaving us with w by itself. We end up with w=6. The value of w is 6.

c. You can check if the value of w is correct by plugging in your number back into the equation. Our equation is 4w+8=32, so we replace w with 6, the value for w that we found. We end up with 4(6)+8=32. Multiply 4 by 6, ending up with 24, then add it to 8, coming up with 32. 4(6)+8=32, which shows us that 6 is the correct value for w.

Using Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=11^2-9^2[/tex]

[tex]\\ \sf\longmapsto P^2=121-81[/tex]

[tex]\\ \sf\longmapsto P^2=40[/tex]

[tex]\\ \sf\longmapsto P=\sqrt{40}[/tex]

[tex]\\ \sf\longmapsto P=6.2cm[/tex]

Step-by-step explanation:

Given,

Hypotenuse = 11 cm

Base (One of the given leg) = 9 cm

Therefore,

According to Pythagoras Theorem,

[tex] {base}^{2} + {height}^{2} = {hypotenuse}^{2} [/tex]

[tex] = > {(9)}^{2} + {height}^{2} = {(11)}^{2} [/tex]

[tex] = > {height}^{2} = {(11)}^{2} - {(9)}^{2} [/tex]

[tex] = > {height}^{2} = 121 - 81[/tex]

[tex] = > {height}^{2} = 4 0[/tex]

[tex] = > height = \sqrt{40} [/tex]

=> height = 6.3245553203

When rounded to nearest tenth,

=> height = 6.3

Hence,

Required length of other leg is 6.3 (Ans)

Answer: A = 833.66 in^2

Step-by-step explanation:

Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2

Height of the cylinder = 12 in

Circumference of the base = (2)(pi)(r) = 44in

Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2

Answer:

(x+8)(x-5)

Step-by-step explanation:

x^2 +3x-40

What two numbers multiply to -40 and add to 3

8 * -5 = -40

8+-5 = 3

(x+8)(x-5)

Answer:

(x + 8)(x - 5)

Brainliest, please!

Step-by-step explanation:

(x + )(x - )

Factors of 40: 1 and 40, 2 and 20, 4 and 10, 5 and 8

(x + 8)(x -5)

Answer:

To calculate the vertex you can use the vertex form ( i searched about the vertex and found it) but i don't know how to use it so i used another method.

The vertex is where the function inverts (y values) so it is going to be or a maximum or a minimum of the function. To calculate the min/max you derivate the function and then equal it to zero.

1) y  = -3x^2 -12x -10

the derivative of y is y' = -6x -12 = -6(x+2)

y'=0 <=>  -6(x+2) = 0 <=> x+2=0 <=> x=-2

y(-2) = -3(-2)^2 -12*(-2) -10 = 2

So the vertex is the point (-2,2) .

Because the slope of the equation is negative that means that the vertex is going to be the maximum , so the maximum is (-2,2) .

To find another 4 points you just have to pick values of x and replace them in the equation y  = -3x^2 -12x -10  to find y.

2) y = -2x^2 -12x -16

Do the same thing we did in point 1

y'= -4x-12 = -4(x+3)

y'=0 <=>  -4(x+3) = 0 <=> x+3=0 <=> x=-3

y(-3) = -2(-3)^2 -12*(-3) -16 = 2

So the vertex is the point (-3,2) .

You can use the distributive property to multiply:

( y )( y² - 2y + 4 ) + ( 2 )( y² - 2y + 4) =

y³ - 2y² + 4y + 2y² - 4y + 8 =

y³ + 8

The -2y² and the 2y² cancel each other, and the 4y and -4y cancel each other out!

Answer:

3.39

Step-by-step explanation:

divide 10.17 by 3 to get the size of each section

Answer:

m=-9/7

Step-by-step explanation:

[tex]\\ \sf \longmapsto 1+6+(-8)[/tex]

[tex]\\ \sf \longmapsto 1+6+(-8)[/tex]

[tex]\\ \sf \longmapsto 1+6-8[/tex]

[tex]\\ \sf \longmapsto 7-8[/tex]

[tex]\\ \sf \longmapsto -1[/tex]

option c is correct

Answer:

x = -1

Step-by-step explanation:

14x + 2 = 9x -3

Transpose

14x -9x = -3 -2

5x = -5

x= -5/5

x = -1

Answer:

x = -1

Step-by-step explanation:

[tex]14x+2=9x-3\\\\5x+2=-3\\\\5x=-5\\\\x=-1[/tex]

Answer:

15.81 = ?

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

9^2 + 13^2 = ?^2

81 +169 = ?^2

250 = ?^2

Taking the square root of each side

sqrt(250) =?

15.8113883= ?

To the nearest 100th

15.81 = ?

Answer:

Using Pythagorean theorem:- [tex]a^{2} +b^{2} =c^{2}[/tex]

a= 13

b= 9

c= ? ( length)

[tex]13^{2} +9^{2} =?^{2}[/tex]

[tex]13^{2} =169[/tex]

[tex]9^{2} =81[/tex]

[tex]169+81=?^{2}[/tex]

[tex]250=?^{2}[/tex]

[tex]\sqrt{250}=15.811[/tex]

[tex]?=15.81[/tex]

OAmalOHopeO

Answer:

I think The choose C. 15

Step-by-step explanation:

wv=40

vG=20 =ST

PT=25

ST²+SP²=PT² —> 20²+SP²=25 —> 400+SP²=625

PS²=225 —> SP=15 in

I hope I helped you^_^

The value of SP is 15 inch.

The well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given:

VW=40

VG=20 =ST

and, PT=25

Now, using pythagoras theorem

ST²+SP²=PT²

20²+SP²=25

400+SP²=625

PS²=225

SP=15 in

Learn more about pythagoras theorem here:

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Answer:

see below

Step-by-step explanation:

5^2  means 5*5  not 5*2

5^2 = 5*5 = 25  not 10

Answer:

5*5 = 25

bobby mistake is doing 5*2 = 10

Step-by-step explanation:

Answer:

The first multiple of 12 after 38 is 48.

The first multiple of 12 before 316 is 312.

So we have, 48, 60, 72... 312.

Divide by 12...

4, 5, 6, ... 26

Subtract 3 from each term to get... 1, 2, 3... 23

So there are 23 terms!

Hope this helps!

Answer:

Step-by-step explanation:

The most obvious answer is the line y = 1.

In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it

Answer:

=1±33√4

Step-by-step explanation:

Answer:

[tex]x =\frac{1+/-\sqrt{33} }{4}[/tex]

Step-by-step explanation:

It wouldn't let me put the symbol in the equation but +/- is just the same thing as ±

This answer is correct on edmentum/plato