There are 14 books on a shelf. 8 of these books are new. The rest of them are used.

Answer:

√29

Step-by-step explanation:

We are here given that ,

Now square the first equation ,

⇒ a - b = 3

⇒ ( a - b)² = 3²

⇒ a² + b² - 2ab = 9

⇒ a² + b² - 2(5) = 9

⇒ a² + b² -10 = 9

⇒ a² + b² = 9 + 10

⇒ a² + b² = 19

⇒ a² + b² + 2ab = 19 + 2(5)

⇒ (a + b)² = 19 + 10

⇒ ( a + b)² = 29

⇒ a + b = √29 .

Answer:

46.05degrees

Step-by-step explanation:

Given the following

Height of tree = 18ft (Opposite)

length of shadow = 25ft (hypotenuse)

Required

Angle of elevation

Sin theta = opp/hyp

Sin x = 18/25

sin x = 0.72

x = arcsin(0.72)

x = 46.05

Hence the angle of elevation of the sun is 46.05degrees

Answer:

68

Step-by-step explanation:

2a

2x34(adding value of a)

68

Answer:

3

Step-by-step explanation:

add them all to get 18 then divide by 6 which is a total number of numbers there

Answer:

3

Step-by-step explanation:

Answer:

A= pi r²

Step-by-step explanation:

Sorry i dont know how to do the pi symbol

Answer:

( x + 2 )² + ( y - 1 )² = 25

Step-by-step explanation:

Circle equation - ( x - h )² + ( y - k )² = r²

Important notes:

(h,k) = center

r = radius

The first step would be to find the center

( it's hard to explain how to find the center point virtually but the center point is at (-2,1) )

Like stated before ( h , k )  = center point

* replace center point with (-2,1) *

( h , k ) = ( -2 , 1 )

h = -2

k = 1

* plug in the h and k values into the circle equation *

now we have ( x - ( -2) )² + ( y - 1 )²

Now to find the radius

We can find the radius by using the distance formula with the center point and any point on the circle's outline

The point chosen can vary but i chose (3,1)

Because the y value of the chosen point and the y value of the center are the same we can simply subtract the larger x value by the smaller x value to find the radius

3 - (-2)

the two negative signs cancel out

3 + 2 = 5

So the radius equals 5

* plug in the value of the radius into the equation *

Now we have

( x - (-2) )² + ( y - 1 )² = 5²

our final step is to simplify

- (-2) the two negative signs cancel out and it turns into +2

5² = 25

Our final answer would be ( x + 2 )² + ( y - 1 )² = 25

Answer:

180 students have blue eyes

Step-by-step explanation:

If 18/40 students have blue eyes, when the total number rof students is 400

18/40 × 400=180

Answer:

x = 55° and y = 25°

Step-by-step explanation:

Since we have two triangular patios with angles  (x + 5)°, (y + 15)°, and 80° and the second patio has angles, (x + 25)°, 40°, and 60° respectively, and the sum of angles in a triangle is 180, we have that,

(x + 5)° + (y + 15)° + 80° = 180° and

(x + 25)° + 40° + 60° = 180°

Simplifying both expressions, we have

x + 5° + y + 15° + 80° = 180° and

x + 25° + 40° + 60° = 180°

collecting like terms, we have

x  + y + 5° + 15° + 80° = 180° and

x + 25° + 40° + 60° = 180°

Adding the like terms, we have

x  + y + 100° = 180°  and

x + 125° = 180°

So,

x  + y = 180° - 100° and

x = 180° - 125°

Thus,

x  + y = 80°   and

x = 55°  

So, y = 80° - x = 80° - 55° = 25°

So, x = 55° and y = 25°

Answer:

A. About 1/3 of the people prefer pie without ice cream

Step-by-step explanation:

We know there were 80 people surveyed, so that's our denominator. Pie without ice cream is the bottom row. 15 + 12 = 27. 27/80 = 0.3375, which is 33.75% (multiply 0.3375 by 100), which is about 1/3.

B is wrong, because the blueberry pie numbers are not double the cherry pie numbers

C is wrong because cherry with ice cream is 24, blueberry without is 15

D is wrong because the ratio of blueberry to cherry is 44:36, and with ice cream to without is 53:27

Answer:

1/2

Step-by-step explanation:

That be your answer mate.

Answer:

a line that the graph gets very, very close to, but never crosses or touches

Step-by-step explanation:

Just in case anyone was confused by the previous answer.

Answer:

x = 11

Step-by-step explanation:

24+4x=6x+2

substract 2x from both sides 4x-4x and 6x -4x

24 = 2x + 2

Substract 2 from both sides 24-2 and 2-2

22 = 2x

Divide by 2 to both sides 22/2 and 2x/2

x = 11

Answer: 8

Step-by-step explanation:

Right on edge!

Answer:

62

Step-by-step explanation:

inverse tangent of 43/23 is 62

Answer:

9

Step-by-step explanation:

that's because angle B is twice angle A in which they add up to 180 because they are supplementary angles

20x=180

divide both sides by 20

in which

x=9

Answer:

153

Step-by-step explanation:

Answer:

18+26+37+36+8+28 = 153

hope this helps!

Answer:

Look at the explanation

Step-by-step explanation:

From this equation, we know our point slope form: y-4= 1/2(x-4)

From here, we also know our point: (4,4)

Our slope is 1/2

We first plot (4,4) on the graph. Then we graph the slope by moving one space up from (4,4) and moving over two spaces.

Our graph would look something like this:

Answer:

- [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{42}{98}[/tex] ← divide numerator/ denominator by 14 )

= - [tex]\frac{3}{7}[/tex]

Answer:

down below

Step-by-step explanation:

so the volume of a cone is 1/3 of the volume of the cylinder.

[tex]V=\frac{1}{3} *108\pi \\V=36\pi[/tex]

Answer:

B) 36π

Step-by-step explanation:

cone volume = 1/3 cylinder volume so:

1/3(108π) = 36π

Answer:

length=x-4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

(-3, 1.5)

Step-by-step explanation:

-8 +5 = -3

2 + -2 = 1.5

Answer: what kite can you put the pic

Step-by-step explanation:

Answer:

The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.

Step-by-step explanation:

plz mark me brainlest

The equations are ABC and the word stories are 123

The answers are as followed

C and 1

A and 2

B and 3

Hope this helped and have an amazing day :)

-yO mAmA

Answer:

1st story: 3(x+5) = 17

2nd story: 3x+5 = 17

3rd story: 5x+3 = 17

9514 1404 393

Answer:

  5000π mm³ ≈ 15,700 mm³

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

  V = πr²h

For the given radius and height, the volume is ...

  V = π(10 mm)²(50 mm) = 5000π mm³

Using 3.14 for π, the volume is ...

  5000(3.14) mm³ = 15,700 mm³

I d k ok soourrrrru okokikokkkkk

Answer:

4.0625

Step-by-step explanation:

Answer:

(x+1)²+(y-2)² = 25

Step-by-step explanation:

Standard equation of the circle is expressed as;

(x-a)²+(y-b)² = r²

(a,b) is the center of the circle

r is the radius

Get the radius

r = √(x2-x1)²+(y2-y1)²

r = √(2+1)²+(6-2)²

r = √3²+4²

r = √9+16

r = √25

r = 5

Substitute into the formula

(x-a)²+(y-b)² = r²

a = -1, b = 2, r = 5

(x-(-1))²+(y-2)² = 5²

(x+1)²+(y-2)² = 25

This gives the required equation