Rochelle is competing in a marathon. She knows that once she runs 14.7 km she will have completed 35% of the marathon

9.2

.......................

The length of arc is 9.1506 cm.

The length of an arc refers to the distance along the curve of a circle between two points on that curve. It is a measure of the portion of the circumference of a circle or any other curved shape.

The Formula for Length of Arc is θ/360 x 2πr.

We have,

Radius = 7.9 cm

Angle = 66.4 degree

Now, length of Arc

= θ/360 x 2πr

= 66.4 / 360 x 2 x 3.14 x 7.9

= 0.18444 x 2 x3.14 x 7.9

= 9.1506 cm

Thus, the length of arc is 9.1506 cm.

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Answer:

e. 9 ft

Step-by-step explanation:

Answer:

937 feet

Step-by-step explanation:

tan32 = x/1500

0.625 = x/1500

0.625*1500 = 937.304

Answer:

The value of a = 4 , b = 3

Step-by-step explanation:

Given the equation,

x⁴ - 4[tex]x^{b}[/tex] + 6x² - ax + 1

so, the coefficients are -      1     4      6     a     1

the Pascal's triangle is as follows :

                                         1

                              1                     2

                   1                   2                        1

         1                   3                   3                         1

 1                4                   6                      4                       1

So,

from Pascal's triangle ,

we can see that , after comparing with given equation , we get

Row n = 4

The coefficient be 1 4 6 4 1

∴ we get

a = 4

and

(x+y)⁴ = x⁴ + 4x³y + 6x²y² + 4xy³ + y⁴

Now, as given equation be x⁴ - 4[tex]x^{b}[/tex] + 6x² - ax + 1

By comparing we get y = -1 and b = 3

So, we get

a = 4 , b = 3

Answer:

x (11 unit) is the longest side

Step-by-step explanation:

Given:

Sides;

7, x, and x−1

Perimeter = 28

Find:

Longest side

Computation:

Perimeter = sum of all sides

So,

7 + x + (x -1) = 28

2x + 6 = 28

x = 11

So,

x -1 = 11 - 1 = 10 unit

x (11 unit) is the longest side

Answer: 48 feet below the surface

Step-by-step explanation:

From the question, we are informed that two divers are underwater. Nick is 33 feet below the surface while Tristan is 15 feet above him.

Tristan's depth will be represented as x.

Therefore, x - 33 = 15

x = 15 + 33

x = 48

Therefore, the answer is 48 feet below the surface.

Answer:

B 18 feet below

Step-by-step explanation:

So subtract 33-15 bechas depth means below and since tristan has less of a depth to go rather than Nick you would subtrac.

Hope this helped! :)

Answer:

the inequality will be X > 73

Step-by-step explanation:

it will take him 5 months

Find how much more he wants to bench:

300-200 = 100

He needs to increase by at least 100 pounds.

So 20 pounds per month has to be greater than 100 pounds.

20x > 100

Divide both sides by 20:

X > 5 months

Answer:

It's a 30-60-90 triangle so x=6

Step-by-step explanation:

Answer:

90 I think bc I saw the right angle

Answer:

B) 2 1/4

Step-by-step explanation:

Answer:

B.2 1/4

C.9/4

Step-by-step explanation:

2 1/4 is what shown

9/4=2 1/4

Answer:

12.67

hope it's helpful ❤❤❤

THANK YOU.

Answer:

d

Step-by-step explanation:

Answer:

(-2,5)

Step-by-step explanation:

D must be the same height (y) as A so  y= 5

D must have the same x as C so x = -2

so D = (-2,5)

Answer:

base =5   because all angles=60, so an equilateral triangle

height=4.33

Step-by-step explanation:

height^2+1/2(5)^2=5^2

height^2+6.25=25

height^2=18.75

height=4.33

Answer:

55

Step-by-step explanation:

There are 11 tens in 110, so 11 times 5 is 55.

Answer:

i hope my answer help you

Step-by-step explanation:

1st=8+4=12

2nd the answer is to the nearest 7.06

3rd =2+2³.7=2+13=15

4th=(36÷(4+5))+25=36÷9+25=4+25=29

5th=16÷16+8-3=1+8-3=9-3=6

6th=8-2.4=5.6

Answer: 5 gallons per hour.

Step-by-step explanation: To find the unit rate, divide "gallons" by "hours." As we said, we need to find the unit rate. We want a unit rate where 1 is in denominator, so we divide the top and bottom by 6. (Remember, unit means 1.)

[tex]\frac{30/6}{6/6}=\frac{5}{1}[/tex]

Therefore, our answer is 5.

Answer:

7.) x = 21

8.) y = 6

9.) angle F = 62 degrees

10.) TS = 10

Step-by-step explanation:

5y-2 = 28

5y = 30

y = 6

4x+6 = 90

4x = 84

x = 21

angle F = 90-28

angle F = 62 degrees

3z-8 = z+4

2z = 12

z = 6

TS = z+4 = 10

Answer:

the area of the parallelogram is 120 units

Answer:

m and n are both equal to 10

Step-by-step explanation:

Because we see that the two of the angles here are 45 and 90, we know then that the third angle is also 45.  This tells us that the sides m and n are of equal length.

With that in mind, we can simply use the Pythagorean theorem to find their values:

m² + n² = (10√2)²

given that m = n, then:

m² + m² = (10√2)²

2m² = (10√2)²

2m² = 100 × 2

2m² = 200

m² = 100

m = 10

So both m and n are equal to 10.

Answer:

13

Step-by-step explanation:

the two numbers that satisfy the requirements for this is 2 and 3, so the answer i put is the sum of the square of the two numbers.

Answer:

let two number be x and y

by question

x+y=5….....(1)

xy=6

x=6/y.........(2)

putting the value of x in equation 1

6/y+y=5

6+y²=5×y

y²-5y+6=0

y²-3x-2x+6=0

(y-3)(y-2)=0

either

y=3

or

y=2

:.required no is 2 and 3

Answer: The first 6 terms are = 8, 10, 12,14,16,18

Step-by-step explanation:

The NTH term of an Arithmetic Sequence is given as

an = a1 + (n - 1 ) d

where a1 = First term  given as 8 and

d=  common difference given as 2

Therefore  We have that

the first term

an = a1 + (n - 1 ) d = 8+(1-1) 2

a1= 8

second term=

an = a1 + (n - 1 ) d= a2= 8 + (2-1) 2

= 8+ 2(1) = 10

3rd term

an = a1 + (n - 1 ) d= a3= 8 + (3-1) 2

= 8+ 2(2)= 8 + 4=12

4th term

an = a1 + (n - 1 ) d= a4= 8 + (4-1) 2

= 8+ 2(3)= 8+6=14

5th term

an = a1 + (n - 1 ) d= a5= 8 + (5-1) 2

= 8+ 2(4)=8+ 8=16

6th term

an = a1 + (n - 1 ) d= a6= 8 + (6-1) 2

= 8+ 2(5)=8 +10 =18

Answer:

8x - 12

Step-by-step explanation:

Let the number be x

multiply by 2

= x * 2 = 2x

Subtract 3 ;

2x-3

Multiply result by 4

=

4(2x -3) = 8x-12

Answer:

Goods Serivces Tax

Step-by-step explanation:

Answer: C.5

Step-by-step explanation:

Answer:

4ab

Step-by-step explanation:

(a+b)^2-(a-b)^2

=a^2 + 2ab + b^2 -(a^2 - 2ab +b^2)

=a^2 + 2ab + b^2 - a^2 + 2ab - b^2

=2ab + 2ab

=4ab

Answer:

-13

Step-by-step explanation:

PEMDAS

5-2*3^2

5-2*9

5-18

answer: -13