The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.

100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.

9514 1404 393

Answer:

  73.6°

Step-by-step explanation:

The whole is the sum of the parts:

  n = 44.5° +29.1°

  n = 73.6°

Answer and Step-by-step explanation:

To find the value of n, we must add the two given angles first.

Why?

We add these two angles together because we are shown that angle n encompasses both angles, meaning that the value of n must be the combination of the angles added together.

29.1 + 44.5 = n

Add.

73.6° = n

The value of n is 73.6°.

#teamtrees #PAW (Plant And Water)

Answer:

(x-2)²+(y-3)²=5².

Step-by-step explanation:

1. the equation of line through points (5;7) and (2;-2) is:

[tex]\frac{x-5}{3} =\frac{y-7}{9}; \ => \ 3x-y-8=0.[/tex]

2. to find the equation of the line, which is perpendicular to the line 3x-y-8=0:

the vector (3;-1) is perpendicular to the line 3x-y-8=0 and it is the vector-pointer for the requred line, and if |n₁|*|n₂|=0 (where n₁ is normal vector to the line 3x-y-8=0 and n₂ is normal vector to the required line), then 3*x-1*y=0 (where 'x' and 'y' any numbers). x=1; y=3, then n₂(1;3), then the required line is x+3y+C=0, where C - is unknown number.

3. to find the equation of the line, which is perpendicular to the line 3x-y-8=0 and passes through the middle point of (5;7) and (2;-2):

middle point is (7/2;5/2), then after substitution of coordinates of the middle point into the equation x+3y+C=0 it will be 3.5+3*2.5+C=0, ⇒ C= -11.

the required equation is x+3y-11=0

4. to calculate the intersection point of x+3y-11=0 and 2x-y=1:

[tex]\left \{ {{2x-y=1} \atop {x+3y=11}} \right. \ => \ (2;3)[/tex]

the point (2;3) is the centre of the required circle.

5. to calculate the radius² of the required circle:

r²=(5-2)²+(7-3)² or r²=(2-2)²+(2+3)², then r²=5².

6. if the centre of the required circle is (2;3) and its r²=25, then it is possible to make up the equiation of the circle:

(x-2)²+(y-3)²=5².

Answer:

4x^5 - 4x³ - 24x

Step-by-step explanation:

Answer:

4x^5 - 4x³ - 24x

Step-by-step explanation:

Distribute

[tex](4x^3+8x)(x^2-3)[/tex]

[tex]4(x^{2} -3)x^{3} +8x(x^{2} -2)[/tex]

Distribute

[tex]4(x^{2} -3)x^{3} +8x(x^{2} -2)[/tex]

[tex]4x^{5} -12x^{3} +8x(x^{2} -3)[/tex]

Distribute

[tex]4x^{5} -12x^{3} +8x(x^{2} -3)[/tex]

[tex]4x^{5} -12x^{3} +8x^{3} -24x[/tex]

Combine like terms

4x^5 - 4x^{3}  - 24x

Answer:

x + 9

Step-by-step explanation:

The sum of x and 9,

x + 9

Answer:

The value of eight in the number 78000 is 8000.

Step-by-step explanation:

70,000+8,000=78,000

Answer:

820          

Step-by-step explanation:

Hi so if your area is 4756, the base would be 820

Answer:

1970 +46%

1980 +232%

1990 +14%

2000 -8%

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

If 8 out of 10 are carrying a briefcase, that means 2 out of 10 are not carrying one.

Use a proportion to find how many don't have a briefcase with 700 people

Let x represent the number of people without a briefcase:

[tex]\frac{2}{10}[/tex] = [tex]\frac{x}{700}[/tex]

Cross multiply and solve for x

10x = 1400

x = 140

So, 140 people do not have a briefcase

Answer:

140

Step-by-step explanation:

8/10 people, there's 700 people

10 multiplied by 70 =700.

2 people dont have briefcases = 2 times 70=140

Answer:

-7=<x<2

Step-by-step explanation:

Answer:

[tex] \boxed{A. \: 134 \: in³} [/tex]

Explanation:

Volume of a cone: ⅓πr²h.

Where r is the radius, and h is the height.

The diameter is twice (2 times) the radius.

(⅓)(π)(4²)(16) – (⅓)(π)(4²)(8) =

256 / 3 π – 128 / 3 π =

128 / 3 π =

42 ⅔ π = 134.041287... ≈ 134 in³

Answer:

y=5x+25

Step-by-step explanation:

The slope is (30-25)/(1-0)=5.

Also, the y-intercept is 25.

So, the equation is y=5x+25.

Answer:

x = 20°

Step-by-step explanation:

here's your solution

=>. we know that, sum of two opposite interior angle is equal to one exterior

=> (3x)° + (3x -20)° = (7x - 40)°

=> 6x - 20° = 7x - 40

=> - x = - 20

=> x = 20

hope it helps

Answer:

20°

Step-by-step explanation:

C.20 is the correct answer.

Answer: A = 132 . 93 cm 2

Step-by-step explanation:

A = lw

A = 8.7

A = 56cm2

A=2

A=(3.14)(7) 2

A 153 . 86 cm 2

76. 93 cm 2

A = 56cm 2 + 76.93 cm 2

A = 132 . 93 cm 2

Step-by-step explanation:

Answer: An algebraic expression is a mathematical expression that consists of variables, numbers, and operations. We can use algebraic expressions to represent unknown number situations involving addition, subtraction, multiplication, and division.

Answer:

Answer: An algebraic expression is a mathematical expression that consists of variables, numbers, and operations. We can use algebraic expressions to represent unknown number situations involving addition, subtraction, multiplication, and division.

Step-by-step explanation:

Its The sample

EDG

Answer:

58

Step-by-step explanation:

case I added it and I m right

In response to the question, we may say that As a result, the radius of the circle is 9.42 cm and its area is 7.065 cm sq

A circle seems to be a two-dimensional component that is defined as the collection of all places in a jet that are equidistant from the hub. A circle is typically shown with a capital "O" for the centre and a lower portion "r" for the radius, which represents the distance from the origin to any point on the circle. The formula 2r gives the girth (the distance from the centre of the circle), where (pi) is a proportionality constant about equal to 3.14159. The formula r2 computes the circumference of a circle, which relates to the amount of space inside the circle.

a) 3 cm diameter: The radius (r) of a circle is half its diameter, hence r = 3 cm/2 = 1.5 cm

The formula C = 2r gives the circumference of a circle, where is approximately equivalent to 3.14.

As a result, C = 2 3.14 1.5 cm = 9.42 cm.

The formula A = r2 calculates the area of a circle.

As a result, A = 3.14 (1.5 cm)2 = 7.065 cm sq.

As a result, the radius of the circle is 9.42 cm and its area is 7.065 cm sq

To know more about circle visit:

https://brainly.com/question/29142813

#SPJ1

Answer:

-153.91

slkdcbfhvwgehfv very professional

Answer:

210 degrees

Step-by-step explanation:

The line is pointing at 210 degrees. You just have to turn the picture.

Answer:

i really dont know but i hope you get it right good luck

Step-by-step explanation:

Answer:

I beleive your answer would be 6

8% of 75 is 6 and 4% of 75 is 3

Answer:

1st number = 17

2nd number = 23

Step-by-step explanation:

x = 1st number

y = 2nd number

x = y - 6

6x = 10 + 4y

substitution method:

6(y - 6) = 10 + 4y

6y - 36 = 10 + 4y

2y - 36 = 10

2y = 46

y = 23

find 'x':

x = 23 - 6

x = 17

Answer:

x = [tex]\sqrt{2}[/tex]

Step-by-step explanation:

pythagorean theorem:

x² + 2² = ([tex]\sqrt{6}[/tex])²

x² + 4 = 6

x² = 2

x = [tex]\sqrt{2}[/tex]

Answer:

Area is 364

Step-by-step explanation:

A parallelogram's area is equal to base times height. So it doesn't depend on the angle at all, as long as the base and height are constant.

That means that the area of the parallelogram on the left is the same as if it was a rectangle (an extension of the rectangle part on the right).

This brings us to the answer - the area is the same as the area of a 14x26 rectangle.

14*26=364

Alternatively, let's compute the area of the rectangle on the right:

18*14 = 252

And the area of the parallelogram

14 * (26-18) = 14*8 = 112

And the area of the composite figure is 252+112 = 364

so the selling price is pretty much the cost price + the profit

so its

selling price = cost price + profit

Answer:

-6 pick mine as brainlest

Step-by-step explanation:

26/100

Step-by-step explanation:

26%

44+30+26=100

26/100

0.26

26%

Answer:

D

Step-by-step explanation: