Calculate the distance of line segment AB.
1 pm
B
A
24 cm
10 cm
с
14
O 25
O 28
0 26
O 31

Answer:

336

Step-by-step explanation:

The exclamation mark in math represents the factorial operation, which means you multiply the number by decreasing positive integers.

Therefore:

5! = 5 x 4 x 3 x 2 x 1 = 120.

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

8!/5! = 40320/120

40320/120 = 336

Answer:

Proportion of chocolate in biscuit tin = 5:7

Step-by-step explanation:

Given:

Number of chocolate in biscuit tin = 10

Number of shortbread biscuits in biscuit tin = 4

Find:

Proportion of chocolate in biscuit tin

Computation:

Proportion of chocolate in biscuit tin = Number of chocolate in biscuit tin / Total product in biscuit tin

Proportion of chocolate in biscuit tin = 10 / [10 + 4]

Proportion of chocolate in biscuit tin = 10 / 14

Proportion of chocolate in biscuit tin = 5:7

Answer:

x=9

Step-by-step explanation:

Similar triangles

8/20 = 6/(x+6)

==> 2/5 = 6/(x+6)

2/5x+12/5=6

2/5x=18/5

x=9

Answer:

Should be $300

let me know if it's correct:)

Answer:

x = - 11

Step-by-step explanation:

u and v are parallel if you  have equal alternate interior angles .

that is ,

x + 111 = 100

x = 100 - 111

x = - 11

Answer:

841.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of semi circle=πr^2/2

=3.14*(2.4)^2/2

=3.14*5.76/2

=18.0864/2

=9.0432 cm^2

Answer:

72/25 [tex]\pi[/tex] cm² or 9.047786842... cm²

Step-by-step explanation:

Area of whole circle is [tex]\pi r^{2}[/tex]

[tex]\pi[/tex]×2.4² = 144/25[tex]\pi[/tex] cm² or 18.09557368... cm²

Since it is a semi-circle, divide this value by 2 (or multiply by 0.5, either way, your halving it):

144/25[tex]\pi[/tex] ÷ 2 = 72/25 [tex]\pi[/tex] cm² or 9.047786842... cm²

Answer:

[tex]a_{n} =a_{n-1} -5.6[/tex] where [tex]a_{1} =-2.7[/tex]

Step-by-step explanation:

This is an arithmetic sequence with the first term is [tex]a_{1}[/tex] = -2.7 and has a common difference of [tex]d=-5.6[/tex].

Arithmetic Sequence: [tex]a_{n} =a_{n-1} +d[/tex]

[tex]a_{n}[/tex] is the nth term and [tex]d[/tex] is the common difference.

The common difference: -2.7, -8.3, -13.9...

Subtract: -2.7- (-8.3) = -5.6, -13.9 - (-8.3) = -5.6

Common difference: [tex]d = -5.6[/tex]

Recursive rule: [tex]a_{n} = a_{n-1} -5.6[/tex]

Answer:

793

Step-by-step explanation:

x=2, y =3

8x³+27y³ = 64 + 729 = 793

Answer:

-5a+3b

Step-by-step explanation:

just adding and subtracting like terms

Answer:

3b-5a

Step-by-step explanation:

hope this helps:)

Answer:

x = 6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL CONCEPT TO BE USED IN THIS QUESTION :-

Basic Proportionality Theorem -

If a line drawn parallel to one side of a triangle and intersects the other two sides at distinct points , it divides the other two sides in equal proportion.

SOLUTION :-

AD is the line drawn parallel to BC and intersects EB & EC at A & D respectively. By using Basic Proportionality Theorem , it can be stated that -

[tex]\frac{AE}{AB} = \frac{DE}{DC}[/tex]

[tex]=> \frac{16}{5x + 2} = \frac{12}{24}[/tex]

[tex]=> \frac{16}{5x + 2} = \frac{1}{2}[/tex]

[tex]=> 5x + 2 = 16 \times 2 = 32[/tex]

[tex]=> 5x = 32 - 2 = 30[/tex]

[tex]=> x = \frac{30}{5} = 6[/tex]

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

Explanation:

Think of a table that has 2 rows and 3 columns.

Each row represents a different math class (either Algebra or Geometry).

Each column represents a different foreign language class (French, Spanish or Latin).

This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.

In short, all we have to do is multiply the number of classes for each subject.

Answer:

Explanation:

Think of a table that has 2 rows and 3 columns.

Each row represents a different math class (either Algebra or Geometry).

Each column represents a different foreign language class (French, Spanish or Latin).

This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.

In short, all we have to do is multiply the number of classes for each subject.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because angles SQR and RQT are central angles, they are congruent to the arcs they intercept. This means that arc SR = 101 and arc RT = 118, making the whole major arc SRT = 219. That means that the minor arc, ST is 360 - 219 which is 141. We are looking in particular for the measure of angle SRT. It just so happens that angle SRT is an inscribed angle, so by definition it is one-half the measure of the arc it intercepts. It intercepts arc ST which we found measures 141, so angle SRT is 141/2 = 70.5

Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.

A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.  

The general form with vertex (p,q) is

y = a(x-p)² + q

So for us, all our parabolas are of the form

y = a(x- -3)² + 9

y = a(x² + 6x + 9) + 9

y = ax² + 6ax + 9(a+1)

That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.

Some instances:

a=1 gives

Answer: y = x²+6x+18

a=4 gives

y = 4x² + 24x + 45

Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.

Answer:

4) 2x3 + 10x2−x−18

5) 2x3+5x2−7x−1

6) 2x2+5x−3

7) −3x2−6x+1

Step-by-step explanation:

4) (4x2 - x - 7) + (2x3+ 6x2– 11)

Combine Like Terms:

=4x2+−x+−7+2x3+6x2+−11

=(2x3)+(4x2+6x2)+(−x)+(−7+−11)

=2x3+10x2+−x+−18

5) (2x3– x + 4) + (5x2– 6x – 5)

Combine Like Terms:

=2x3+−x+4+5x2+−6x+−5

=(2x3)+(5x2)+(−x+−6x)+(4+−5)

=2x3+5x2+−7x+−1

6) (3x2+ 2x + 1) – (x2– 3x + 4)

Distribute the Negative Sign:

=3x2+2x+1+−1(x2−3x+4)

=3x2+2x+1+−1x2+−1(−3x)+(−1)(4)

=3x2+2x+1+−x2+3x+−4

Combine Like Terms:

=3x2+2x+1+−x2+3x+−4

=(3x2+−x2)+(2x+3x)+(1+−4)

=2x2+5x+−3

7)(2x2– 3x + 7) – (5x2+ 3x + 6)

Combine Like Terms:

= (2x2 −5x2 )+(−3x−3x)+(7−6)

Answer:

5 x 2 - 8x + 4

5 x 2 - 24 + 4

10 - 24 + 4

-10

Answer: -10

Answer:

(x-5) (x+9)

Step-by-step explanation:

what multiplies to -45 but adds to positive 4?  -5 and 9. that's how you get (x-5) (x+9)

Answer:

its the first answer.

hope this helps you a lot.

Chord is a line that joins any two points on the circle

AC,BC

OPTION A is the correct answer

Answer:

2)   x² - 10x + 25

Step-by-step explanation:

(x - 5)(x - 5) = x² - 5x  -5x + 25

Combining like terms

x² - 10x + 25

Answer:

Robert can feed 13 cats.

Step-by-step explanation:

To solve this we simply divide.

3.38 divided by 0.26 = 13

Therefore Robert can feed 13 cats.

Applying the intersecting chords theorem, the possible lengths of JM and TM could be: 16 and 7.5.

The intersecting chords theorem states that product of the divided segments of each intersectint chords are equal to each other.

Based on the intersecting chords theorem, we would have:

(EM)(RM) = (JM)(TM)

If JM and TM are 16 and 7.5 respectively, we would have:

(8)(15) = (16)(7.5)

120 = 120

The lengths of JM and TM could therefore be: 16 and 7.5.

Learn more about the intersecting chords theorem on:

https://brainly.com/question/13950364

#SPJ2

Answer:

16 and 7.5

Step-by-step explanation:

Answer:

s = 71

Step-by-step explanation:

Given that GJ is a midsegment of the triangle then it is half the length of the third side, that is

GJ = [tex]\frac{1}{2}[/tex] HI , so

s - 65 = [tex]\frac{1}{2}[/tex] (s - 59) ← multiply both sides by 2 to clear the fraction

2s - 130 = s - 59 ( subtract s from both sides )

s - 130 = - 59 ( add 130 to both sides )

s = 71

Answer:

If angle LMN is 63 degrees and angle LMO is 32 degrees and angle OMN + angle LMO is 63 degrees

we subtract 32 from 63 to find OMN

63-32 = 31

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

The biggest angle is 63 degrees, for find OMN we have to do

63 - 32 = 31 degrees

Answer:

$494

Step-by-step explanation:

Given data

Amount transfer= $6

Balance after transfer= $488

Let the total amount in the account before the transfer be x

Hence

x-6= 488

x= 488+6

x=$494

Hence the amount in the account before the transfer is $494

Answer:

r = 1/5

Step-by-step explanation:

Substitute x=15 and y=3 into the equation given.

Transpose so that r = 3/15

Simply 3/15

r = 1/5

Answer:

4.4/22 = .2

r=.2

Step-by-step explanation: