if we added a 4th person to the race, what is the probability of the 4th person winning the race?

Answer:

40 cm

Step-by-step explanation:

Area of rectangle:

A = bh

A = 5(6)

A = 30

Area of triangle:

A = 0.5bh

A = 0.5(5)(4)

A = 2.5(4)

A = 10

Combined:

30 + 10

40

Step-by-step explanation:

Given :-

And we need to simplify the given numbers . We can use a identity in 1st Question as ,

[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]

Simplifying first :-

[tex]\implies (\sqrt3+\sqrt2)^2\\\\\implies (\sqrt3)^2+(\sqrt2)^2+2.\sqrt3.\sqrt2 \\\\\implies 3+2+2\sqrt6=\boxed{\red{5+\sqrt6 }}[/tex]

Simplifying second :-

[tex]\implies (3+2)^2\\\\\implies 5^2\\\\\implies \boxed{\red{25}}[/tex]

Answer:

$625

$2500

Step-by-step explanation:

tax = percent of tax x income

0.2 x 3125 = 625

amount remaining = income - tax

3125 - 625

Answer:

Third Option

Step-by-step explanation:

The triangles are congruent.

Answer:

the answer is C

Step-by-step explanation:

if you read the story again you will see why

Answer:

20

Step-by-step explanation:

Under Darius, the Persian Empire flourished. His most notable accomplishment was perfecting the system of government begun by Cyrus. The empire was divided into 20 satrapies, or provinces, each ruled over by a satrap.

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyStep-by-step explanation:yyyyyyyyyyyyyyyyyyy

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Answer:

7.7

Step-by-step explanation:

To solve this question we must use Pythagoras (a²+b²=c²) Let those two dots be A and B respectively.Imagine a line is drawn that pases through both dots,

Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from A going to the right, and a line from B going downwards, making the final vertexes for the triangle at coordinates: 0,-5  4,1 and 4,-5 (the vertex we made). now we find the lengths for the sides: 4 and 6 so we use these to plug them into pythagoras's equation:

4²+6²=c²

24+36=c²

√60=c

c=7.74....

But all we need is until the tenths so the answer is 7.7 (as the hundredths digit, 4, rounds down)

Answer:

2

Step-by-step explanation:

One of them has to be 2. Two odd numbers added together make an even number. So you have two pairs of odd prime numbers and 2 must be the last one. If it is not then the sum will be odd.

Here's an example

3 + 5 + 7 + 11 = 26 which is even. If the next prime is odd, the whole sum will be odd.

26 + 17 = 43

However if the 5th number is two, then the sum of the 5 primes will be even.

26 + 2 = 28

Answer:

38

Step-by-step explanation:

The range of a data set is the smallest number subtracted from the largest number.

[tex]39,41,5,43,26,7,43,24,41[/tex]

In this data set, the largest number is 43 and the smallest number is 5.

[tex]43-5=38[/tex]

Therefore, 38 is the range of this data set.

Answer:

G

Step-by-step explanation:

Because it is an equation

Answer:

A . ( 1 , 2 )

Answer:

immma send you the link friend me on here

Step-by-step explanation:

Answer:

Q1 = 4

Q2 = 7

Q3 = 42. 75

Step-by-step explanation:

Given the data:

626676848497

6, 2, 66, 7, 6, 8, 4, 8, 49, 7

Arrange in ascending order :

2, 4, 6, 6, 7, 7, 8, 8, 49, 66

The lower quartile (Q) :

1/4(n+1)th term

n = number of sample = 10

1/4(11)th term

2.75 term : (2 + 6) /2 = 8/2 = 4

Median :

1/2(n+1)th term

n = number of sample = 10

1/2(11)th term

5. 5 term : (7 + 7) /2 = 14/2 = 7

Upper quartile :

3/4(n+1)th term

3/4(11)th term

8.25 th term

3 /4 (8 + 49) = 42.75

Answer:

80

Step-by-step explanation:

find 2 percent of 1000 and times it by 4 the amount of years

Answer:

$1082.43

Step-by-step explanation:

You use the interest formula.

P(1+r/n)^nt

Then plug it in

1000(1+.02)^4

Which comes out to 1082.43

Hope this helps

Brainliest would be appreciated

Answer:

9

Step-by-step explanation:

the triangle is right angle.

at right angle it makes 90°. therefore;

(3d+1)°+(6d+8)°=90°

3d+1°+6d+8°=90°

9d+9°=90°.

9d=90°-9°

9d=81°

d=81/9

d=9°

Answer:

I want to say B or D please tell me if I'm right lol

Answer:

5/12

5 balloons were yellow out of the 12

the diameter is found by the formula πr2

Answer:

A is correct option. Thanks

Answer:

[tex]2(x - 5) ( 9x - 2)[/tex]

Step-by-step explanation:

((2•3^2x^2) -  94x) +  20

Pull like factors :

  18x^2 - 94x + 20  =   2 • (9x^2 - 47x + 10)

Factor

 9x^2 - 47x + 10

The first term is,  9x^2  its coefficient is  9.

The middle term is,  -47x  its coefficient is  -47.

The last term, "the constant", is  +10

Step-1: Multiply the coefficient of the first term by the constant   9 • 10 = 90

Step-2: Find two factors of  90  whose sum equals the coefficient of the middle term, which is   -47.

     -90    +    -1    =    -91

     -45    +    -2    =    -47

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -45  and  -2

                    9x^2 - 45x - 2x - 10

Step-4: Add up the first 2 terms, pulling out like factors :

                   9x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   2 • (x-5)

Step-5: Add up the four terms of step 4 :

                   (9x-2)  •  (x-5)

            Which is the desired factorization

thus the answer is

[tex]2(x - 5) ( 9x - 2)[/tex]

Answer:

Solution given:

18x²-94x+20

taking common

2(9x²-47x+10)

doing middle term factorization

90=45*2

2(9x²-45x-2x+10)

2(9x(x-5)-2(x-5))

2(9x-2)(x-5)

2(x-5)(9x-2)

Last one is a required answer.

Answer:

Step-by-step explanation:

the answer is 80

Answer:

look at the picture i sent........

Answer:

The surface area equals 45.