An athlete of mass 60 kg running at a velocity of 10 m/s

Answer:

y = x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (- 1, 2) ← 2 points on the line

m = [tex]\frac{2-1}{-1-(-2)}[/tex] = [tex]\frac{1}{-1+2}[/tex] = [tex]\frac{1}{1}[/tex] = 1

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = x + 2 ← equation of line

Answer:

Sas

Step-by-step explanation:

Because it’s side angle side

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The given triangles are congruent by :

because two of their sides are equal and the angle between the is equal too (by vertical opposite angle pair).

Answer:

x =-26

Step-by-step explanation:

-15x = 390

Divide each side by -15

-15x/-15 = 390/-15

x =-26

Answer:

X = -26

Step-by-step explanation:

Divide both sides by -15.

390/-15 = -26

X is equal to -26.

Answer:

My answer is -9.becasiug

Answer:

I think its um 1.2 im sorry if im wrong

Step-by-step explanation:

Answer:

−10.9

Step-by-step explanation:

−4.6p−6.3p+3.9

Combine −4.6p and −6.3p to get −10.9p.

dp/d (−10.9p+3.9)

−10.9p ^1−1

so it is −10.9

Answer:

$6.69

Step-by-step explanation:

Since we know the total cost of 5 pairs of gloves, all we have to do to find the unit price is divide the total cost by how many gloves were are being sold:

33.45 / 5 = 6.69

Therefore, one pair of gloves costs $6.69

Hope this helps :)

Answer:

5.72

Step-by-step explanation:

Answer:

5.72 is bigger then 4.75

Step-by-step explanation:

Answer: I think its C, yes, all the requirements are met.​

Step-by-step explanation: I might be wrong, so check to make sure

Yes, all the requirements are met.​

The correct option is (C)

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

A graph or table that displays the frequency of various outcomes is called a frequency distribution.

The bell-shaped normal distribution is the norm.

As, the frequency value is lower for scores 5.5000 to 5.5499,

and then it increases 5.5500- 5.7499, then decreases for scores 5.7500-5.7999.

So, the frequency distribution curve looks bell-shaped when plotted.

hence, it  follow a normal distribution.

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Answer:

1. 2.6

2. 29.1

3. 2490

4 3.4

Step-by-step explanation:

Sorry for the wait.....

Hope this helps and Happy Halloween!!!!

The effective rate for a payday loan is 3.21%.

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

Given:

Amount Financial = 430

Financial Charge= 53.29

Term of loan= 14 days

So, the effective rate will be

= (53.29/430 ) x 365

= 45.2345

and, =45.2345/14

= 3.21

Hence, the effective rate is 3.21%.

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Answer:

C=22

Step-by-step explanation:

8+9+10+11+x divided by 5 gives 12

38+x divide by five gives 12

12×5=60

38+x=60

x=22

brainlist please

Answer: To do so, reflect it on the Y axis and then move it 4 times.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

17 / 0.68 = 25

check your answer?

25 * 0.68 = 17

:)

Answer:

the answer is 26

Step-by-step explanation:

(about) 6.6 or 6 2/3

ST is an angle of bisector

Answer:

-7/5

Step-by-step explanation:

(-3 - 4) / (2 - -3) = -7/5

Step-by-step explanation:

28 dollars is the answer

Answer: 2

Step-by-step explanation:

Perimeter is all the sides added up together so a square has 4 sides. 8/4= 2

Answer:

x = 11 ; y =13

Step-by-step explanation:

3x - 2 y = 7    -------------(I)

        y = x + 2  -----------(II)

Substitute y = x + 2 in equation (I)

3x - 2(x + 2) = 7

3x - 2*x + 2*(-2) = 7

3x - 2x - 4 = 7

      x - 4 = 7

           x = 7 + 4

x = 11

Plugin x = 11 in equation(II)

y = 11 + 2

y = 13

Answer:

f(1) = 3

f(2) = 9

f(0) = 5

f(z) =2z + 5

Step-by-step explanation:

f(x) = 2x +5     let x = -1; 2, 0, z and simplify if you can.

f(-1) = 2(-1) +5 ; -2 +5

f(2) = 2(2) + 5;  4 + 5

f(0) = 2(0) + 5; 0 + 5

f(z) = 2z +5; 2z + 5

Answer:

A=6 cm, D=4.5cm and E=80 cm

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3 x 5 =15 + 3 = 18. so 18 over 5 divided by 2 over 5. you flip the 2nd fraction and multiply. the 5s cancel. 18 ÷2 = 9

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the sides of the figures

(1)

The figure has 5 congruent sides , then perimeter P

P = 5 ([tex]\frac{2}{5}[/tex] x + 1) ← multiply each term in the parenthesis by 5

  = 2x + 5

(2)

There are 4 congruent sides of ([tex]\frac{5}{2}[/tex] x - y) and 8 of y , then

P = 4([tex]\frac{5}{2}[/tex] x - y) + 8y ← distribute parenthesis by 4

  = 10x - 4y + 8y ← collect like terms

  = 10x + 4y

(3)

P = 2([tex]\frac{2a-b}{2}[/tex] ) + 2([tex]\frac{3b}{2}[/tex] ) + 2a ← distribute parenthesis

  = 2a - b + 3b + 2a ← collect like terms

  = 4a + 2b

Answer:

30°,60°,90°

Step-by-step explanation:

Let :-

As we know :-

So that ,

Angles ,

Answer:

Let the angles be x and 2x.

We know that the sum of all interior angles of a triangle is 180°.

Therefore,

Angles,

Answer:

45:56.25:78.75

Step-by-step explanation:

a triangle=180º total

4+5+7=16

180÷16=11.25

The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The ratio of the interior angles of a triangle = 4 : 5 : 7

Now,

Find the interior angles of a triangle as;

Since, The ratio of the interior angles of a triangle = 4 : 5 : 7

Hence, First angle = 4x

Second angle = 5x

Third angle = 7x

Since, The sum of all the angles in a triangle = 180°

So, We can formulate;

⇒ 4x + 5x + 7x = 180

⇒ 16x = 180

⇒ x = 180/16

⇒ x = 11.25

Thus, First angle = 4x

                          = 4 × 11.25

                          = 45°

Second angle = 5x

                     = 5 × 11.25

                     = 56.25°

Third angle = 7x

                  = 7 × 11.25

                  = 78.25°

Thus, The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.

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