Find the area of the rectangle

Given :

Rochelle is competing in a marathon.

She knows that once she runs 14.7 km she will have completed 35% of the marathon.

To Find :

Total length of the marathon.

Solution :

Let, total distance of the marathon is x km.

So, 35% of x is 14.7 .

In mathematics :

[tex]14.7 = x\times \dfrac{35}{100}\\\\x = \dfrac{14.7\times 100}{35}\\\\x = 42\ km[/tex]

Therefore, total length of the marathon is 42 km.

Given:

A figure of a right angle triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\tan \theta = \dfrac{Opposite}{Adjacent}[/tex]

In the given triangle,

[tex]\tan (30^\circ) = \dfrac{x}{7}[/tex]

[tex]\dfrac{1}{\sqrt{3}}=\dfrac{x}{7}[/tex]

On multiplying both sides by 7, we get

[tex]\dfrac{7}{\sqrt{3}}=x[/tex]

Therefore, the value of x is [tex]x=\dfrac{7}{\sqrt{3}}[/tex].

Answer:

The y-intercept should be -3 since it is 4x-3 so no your friend is not right

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

For this to have infinitely many solutions, the left side and right side must simplify to the same expression. The left side is already simplified, so we need to find the right numbers for the right side.

Coefficient of x:

  7x = __x + 3x

  4x = __x . . . . . . subtract 3x; next divide by x

  4 = __ . . . . . the required x-coefficient is 4

Constant term:

  -8 = 8 -__

  -16 = -__ . . . . . subtract 8

  16 = __ . . . . . . multiply by -1

__

The numbers that go in the boxes are 4 and 16.

Answer:

-35

Step-by-step explanation:

PEMDAS

Answer:

-35

Step-by-step explanation:

PEMDAS

solve for 3+4=7

-5*7=-35

Answer:

a) score 2 and 3.

b) 30 rounds

Step-by-step explanation:

a) score 2 and 3 have same number of frequency which is 7 times, meaning that there are 7 persons get score 3 and 2 respectively.

b) frequency of number of score are 30 times, which means 30 rounds.

score 1: 3 times,

score 2: 7 times,

score 3: 7 times,

score 4: 8 times,

score 5: 5 times.

Answer:

a and b is the answer

the previous answer is a good answer

Answer:

0.006 inches of rain

Step-by-step explanation:

0.003 multiplied by 2 equals 0.006

Answer:

0.006

Step-by-step explanation:

y = 0.003x

x = minutes of rainfall

y = 0.003(2)

y = 0.006

0.006 inches

Answer:

15years

Step-by-step explanation:

Let the present age of sarita be x

Sarita father age = 49years

If  his father age is 4 years more than three times Sarita age, this is expressed as;

49  = 3x + 4

Sind x

3x = 49-4

3x = 45

x = 45/3

x = 15

hence present age of sarita is 15years

Hi there! x would be 6 weeks..

Explanation:

So here says that Jana earns $25 per week for mowing the lawn. But in “x” weeks, she earns $125...this means that you would have to divide 125 with 25 or 25 multiply by x to find the answer of x.

How much does 25 go to 100? Well it would be 5. So for $100 it would be 5 weeks. We also know that 25 is 1 week. So add 5 with 1. 5 plus 1 would be 6.

Therefore, for $125, Jana would have to work for 6 whole weeks.

Answer:

40 degrees

Step-by-step explanation:

Because there are 180 interior angles in a triangle, you need one of the sides. If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40.

If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40°.

40 degrees is the sum of the measures of the corresponding remote interior angles.

Because there are 180 interior angles in a triangle, you need one of the sides. If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40°.

To learn more about triangle theory, refer

brainly.com/question/25055291

#SPJ2

Answer:

Domain is all the x values while range is all the y values. Im not sure if you're supposed to tell you how to do it or do it for you so... good luck

Step-by-step explanation:

Answer:

domain: [-1, infinity)

range: ( - infinity, 1]

Step-by-step explanation:

the domain is the set of x values in a function and range is the y values.

Answer:

x = 10

Step-by-step explanation:

x + 1 = 11

x = 10

Answer:

Length is 7.7 and width is 9.2

Step-by-step explanation:

The length and width of the rectangle will be the y and x coordinate of the diagonal line at angle of 40 degrees

Length L = dsin theta

Width W = d coos theta

d is the length of the diagonal

Given

d  = 12

theta = 40°

Substitute

Length = 12sin40°

Length = 12(0.6428)

Length = 7.7135

Length ≈ 7.7

Width = 12cos 40

Width = 12(0.7660)

Width = 9.192

Width = 9.2

Hence the length is 7.7 and width is 9.2

Answer:

$552.90

Step-by-step explanation:

There are 52 weeks in a year

28,751/52= 552.9038462

since this is money you just round

it's wind blows warm water away from the shore.

Step-by-step explanation:

it is one hundred percent correct

Answer:

A

Step-by-step explanation:

Wind blows warm water away from the shore.

Answer:

a.(10,23)

b.(7,30)

e.(20,20)

Step-by-step explanation:

We are given that

x=Width of garden

y=Length of garden

According to question

[tex]x\geq 5[/tex]

[tex]y\geq 20[/tex]

Perimeter of rectangle=[tex]2(x+y)[/tex]

Where x=Width  of rectangle

y=Length of rectangle

Fencing used =[tex]2(x+y)[/tex]

[tex]2(x+y)\leq 80[/tex]

First we change inequality  into equality

[tex]x=5[/tex]...(1)

[tex]y=20[/tex]...(2)

[tex]2(x+y)=80[/tex]

[tex]x+y=40[/tex]...(3)

Substitute x=0 in equation (3)

[tex]y=40[/tex]

Substitute y=0  in equation (3)

[tex]x=40[/tex]

Substitute x=0 and y=0 in equation (3)

[tex]2(x+y)\leq 80[/tex]

[tex]0\leq 80[/tex]

It is true. Therefore, the  shaded region below the line.

[tex]0\geq 5[/tex]

[tex]0\geq 20[/tex]

These are false equation .Therefore, the shaded region above the line.

Substitute x=5 in equation (3)

[tex]5+y=40[/tex]

[tex]y=40-5=35[/tex]

Substitute y=20 in equation (3)

[tex]x+20=40[/tex]

[tex]x=40-20=20[/tex]

Intersection point of equation (1) and (3) is (5,35) and intersect point of equation (2) and (3) is (20,20).

Now,

a.(10,23)

Substitute in

[tex]2(x+y)\leq 80[/tex]

[tex]2(10+23)\leq 80[/tex]

[tex]66\geq 80[/tex]

10>5 and 23>20

it satisfied all inequality.

Hence, it is a solution.

b.(7,30)

7>5

30>20

[tex]2(7+30)=74<80[/tex]

it satisfied all inequality.

Hence, it is a solution.

c.(18,25)

18>5

25>20

[tex]2(18+25)=86>80[/tex]

It does not satisfied third inequality

Hence, it is not a solution.

d.(8,35)

8>5

35>20

[tex]2(8+35)=86>80[/tex]

It does not satisfied third inequality

Hence, it is not a solution.

e.(20,20)

[tex]2(20+20)=80[/tex]

20>5

20=20

it satisfied all inequality.

Hence, it is a solution.

Answer:

3?

Step-by-step explanation:

Answer:Its B. and D.

Step-by-step explanation:

Answer:

heyyyyyyyyyyyyyyy

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

7x4=28

6x4=24

So it cant be 6 or anything less

Answer:

The cosine of A is equal to [tex]\frac{3\sqrt{58}}{58}\\[/tex]

Step-by-step explanation:

Cosine is is calculated as adjacent over hypotenuse.  The line adjacent to A  is 3 in length.

So we can say that the cosine is equal to 3/√58, but need to multiply it by √58 / √58 to ensure we have a non-radical denominator

[tex]A = \frac{3}{\sqrt{58}}\\A = \frac{3\sqrt{58}}{58}\\[/tex]

Answer:

C. 2(x + 4)(x + 1)(x - 2)

Step-by-step explanation:

Hope this will help

Answer:

I think it's -500 = 135

Step-by-step explanation:

multiply 10 and -50 to get -500

Answer:

7

Step-by-step explanation:

Answer:

A = 7

Step-by-step explanation:

You would take -42/-6 because that will tell you what x -6=-42

-42/-6 = 7

Also. you have to remember that a negative divided or multiplied by a negative = a positive

Answer:

-3r+5 is that answer hdj

Answer:

-3x-7

Step-by-step explanation:

-6 + -1 = -7

Answer: 13

Explanation: To find the degree of a monomial, we need to take

the sum of the exponents of all the variables in the monomial.

So the degree of this monomial is 7 + 6 or 13.

So the degree of this monomial is 13.