A group of scientists have been sent on an expedition to test the soil in the Allegheny Mountains. They need to collect samples from nine sites. The route for the expedition is shown in the image. The group starts at P and works its way around to Q, R, S, T, U, V, W, and X, in that order, before returning to P. What is the length of the route?




A.

50 units

B.

52 units

C.

55 units

D.

58 units

E.

60 units

Answer:

The number of questions answered.

Step-by-step explanation:

Number of questions answered minus 5 questions she got wrong equals her final score.

Answer:

Step-by-step explanation:

Tiffany's distance is defined by the equation,

d = 2.5t

Here, d = distance of Tiffany from the starting line

t = time

a). d = 2.5t

    [tex]\frac{d}{t}=2.5[/tex]

   Tiffany's rate = 2.5 yards per second

b). Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

   Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   Therefore, slope of the line passing through two points (0, 10) and (10, 35)

   = [tex]\frac{35-10}{10-0}[/tex]

   = 2.5 yards per second

    Dion's walking rate = 2.5 yards per second

    Equation that defines the distance of Dione,

    d = mt + b

    Here, m = rate of the walking by Dione

    b = y-intercept

    Hence, equation will be,

    d = 2.5t + 10

c). If d = 60 yards

    For Tiffany,

    d = 2.5t

    60 = 2.5t

     t = 24 seconds

     For Dion,

     d = 2.5t + 10

     60 = 2.5t + 10

     2.5t = 50

      t = 20 seconds

     Therefore, Dion will take less time and finish first.

Answer:

a = 1m/s²

Step-by-step explanation:

Given the formula

s=ut+1/2at²

Given

s=30

u=2

t=6

Required

a=?

Substitute

A = 2(6) + 1/2a(6²

30 = 12 + 36a/2

30-12 = 18a

18 = 18a

Swap

18a = 18

a = 181/18

a = 1m/s²

Answer:

The area of the cone not painted is approximately 196.35 cm²

Step-by-step explanation:

The question relates to similar shapes;

We have;

The base diameter of the cone, D₁ = 20 cm

The slant height of the cone, l₁ = 25 cm

The height at which the circle is drawn, 10 cm above the base, we have; l₂ = 25 cm - 10 cm = 15 cm

Let 'x' represent the diameter of the circle formed by the drawn circle, we have;

By similar triangles, we get;

D₁/l₁ = x/l₂

x = l₂ × D₁/l₁

20/25 = x/15

x = (20/25) × 15 = 12

The curved surface area of the cone, A = π·r·l

The area of the curved surface of the entire cone, A₁ = π·r₁·l₁

r₁ = D₁/2

Therefore, we get, A₁ = π × 20/2 × 25 = 250·π

A₂ = π × 15/2 × 25 = 187.5·π

The area of the cone not painted, A = A₁ - A₂

∴ A = 250·π - 187.5·π = 62.5·π

The area of the cone not painted, A = 62.5·π ≈ 196.35

The area of the cone not painted ≈ 196.35 cm²

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? Thus, the required numbers are 7 and 35

A picture is attached!

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

each of the pairs of opposite angles made by two intersecting lines.Step-by-step explanation:

Answer:

vertical angles

geometry the pair of equal angles between a pair of intersecting lines; opposite angles Also called: vertically opposite angles

Step-by-step explanation:

Answer:

umm I don't know you have to tell me more and I can find out what it is

Answer:

D.   2/3

Step-by-step explanation:

Two distint points on the graph are

(0, -3) and (6, 1)

Slope = (rise in y) / (run in x)

Rise:

y goes from -3 to 1

rise = 4

Run

x goes from 0 to 6

run = 6

Slope = 4/6

reduce

Slope = 2/3

Answer:

7.9

Step-by-step explanation:

Answer:

The same place as 1/3

Step-by-step explanation:

image for more context

PLZZZ GIVE ME BRAINLIEST

The value of M from the equation; M+7.9=39 1/2 is; 31.6

The given equation is; M+7.9=39 1/2.

By simplification;

Hence, by cross product;

M = 31.6

Read more on one-variable equations;

https://brainly.com/question/21528555

Step-by-step explanation:

To find mean-

you add all the #'s together and then (/) them by the amount of the #'s

#5.   8, 2, 3, 5, 7

8+2+3+5+7

10+8+7

10+15

25

25/ 5

5

#6.   4, 1, 6, 3, 6, 4

4+1+6+3+6+4

5+9+10

5+19

24

24/ 6

4

The median is the (middle) you have to put the #'s in order least to greatest

#5.    2, 3, 5, 7, 8

cross one by one on both sides

3, 5, 7,

5

#6.   1, 3, 4, 4, 6, 6

3,4,4,6

4,4

4 (because in the middle of 4 and 4 well is 4) (if you had 5 and 6 left it would be 5.5)

The mode is the # that appear the most often in the set of data.

#5.  there is no more because there is one of each # there is none that has 2 or more (N/A)

#6.    1,3, 4, 4, 6, 6

the mode is 4 and 6

because those #'s have 2 or more and they are both at 2 so they are both the mode

Answer:

180

Step-by-step explanation:

V= 1/3 B*h  ----- (B= area of base) (h= height)

Area of a triangle (base)

1/2 b*h

1/2 (5)(12)

1/2 60

B = 30

H = 18

V= 1/3 30*18

1/3 540

V = 180

Answer:

[tex]y = 19 \frac{1}{6} [/tex]

Step-by-step explanation:

[tex]5y + 32 = - 64 \\ 5y = - 64 - 32 \\ 5y = 96 \\ \frac{5y}{5} = \frac{96}{5} \\ y = 19 \frac{1}{6} [/tex]

hope this helps you.

Can I have the brainliest please?

Have a nice day !!!!

~Hi1315~

Answer:

B. √21

Step-by-step explanation:

x^2 = √5 x √5 + 4 x 4

x^2 = 5 + 16

x^2 = 21

x = √21

Hope that helps! :)

-Aphrodite

Answer:

im not entirely sure but the equation for your hypotenuse (x) is  [tex]\sqrt 5^{2} * 4^{2}[/tex]

which is 80 and the square root of 80 is 8.944 and that would be your hypotenuse

(i just realized that is completely wrong, sorry)

Answer:

32 m^2

Step-by-step explanation:

Area = 8 x (2 + 6) x 1/2

Area = 8 x 8 x 1/2

Area = 64 x 1/2

Area = 32

Hope that helps! :)

-Aphrodite

Answer:

32

Step-by-step explanation:

formula for area of a triangle = [tex]A=\frac{bh}{2}[/tex]

where b = base length and h = height

The triangle shown has the following the dimensions

base length = 2 + 6 = 8m

height = 8m

Using these dimensions we plug in the values into the formula

[tex]A=\frac{8*8}{2} \\8*8=64\\\frac{64}{2} =32[/tex]

Hence, the area of the triangle is 32 square meters

Answer:

The radius of the circle is 6.

Explanation:

Take the square root of 36.

Write the polynomial in standard form then name the polynomal based on its degree and number of terms 2-11x²-8x + 6x²

Standard form: -5x²- 8x + 2

name: Quadratic polynomial

Given polynomial

2-11x²-8x + 6x²

To write this polynomial in standard form,

i. First simplify it

Collect like terms

2 - 11x² + 6x² - 8x

Add the second and fourth terms

2 - 5x² - 8x

ii. Arrange the terms in the polynomial in order of decreasing order of x.

In other words, the term which has the highest order of x is written first followed by the term with the next highest order of x and so on.

In this case, the term with the highest order of x is the second term which is given by -5x² followed by -8x and then 2.

Therefore, the standard form of the given polynomial is

-5x²- 8x + 2

The degree of a polynomial which is in standard form is the order of its first term.

In this case, the order of the first term is 2. This means that the degree of the polynomial is 2.

Since the degree of the polynomial is 2 and it has three terms, this is a quadratic polynomial.

Answer: Small correction from the bottom one its 35, 22

Step-by-step explanation: Edginuity 2021 just got is right.

Answer:

35 and 22

Step-by-step explanation:

Answer:

2cm: 6.28

4cm: 12.56

6cm: 18.84

8cm: 25.12

10cm: 31.4

12cm: 37.68

Step-by-step explanation:

Answer:

in order to get answer you will add 2'9+5'6=8'5

Answer:

We first ALWAYS have to split the figure apart from each other,

lets split it into a triangle and a square!

Let's find the area of the triangle:

20(height) x 20(base) = 400!

400 x 1/2 (just dividing by 2) = 200!

*Remember* Formula of a triangle is:

B(base) x H(height) x 1/2 (basically dividing by 2)

Now time to find the area of the square!

20 x 20 = 400!

Now let's add both their areas:

400 + 200 = 600!

Step-by-step explanation:

600cm2 is your answer.

The figure has an area of 600 square centimeters.

In this question we need to determine the area of the entire figure, this area is the sum of the areas of a square and two symmetric right triangles, defined by respective formulas, that is:

[tex]A = A_{s} + 2\cdot A_{t}[/tex] (1)

Where:

By applying area formulas for squares and triangles, we expand (1):

[tex]A = x^{2} + \frac{1}{2}\cdot x\cdot y[/tex] (2)

Where:

If we know that [tex]x = 20\,cm[/tex] and [tex]y = 20\,cm[/tex], then the area of the figure is:

[tex]A = \frac{3}{2}\cdot (20\,cm)^{2}[/tex]

[tex]A = 600\,cm^{2}[/tex]

The figure has an area of 600 square centimeters.

We kindly invite to check this question on areas: https://brainly.com/question/16418397

Answer:

1/8

Hope this helps

Answer:

no sorry

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{5} x-2[/tex]

Answer:

Alex played 8 games and Sam played 16.

Step-by-step explanation:

I am unaware of the equation, the answer just makes sense. I apologize.

Answer:

2πr

Step-by-step explanation:

to find the circumference you must multiply the radius by pi and 2

Answer:

it is 3 pi

Step-by-step explanation:

Answer:

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

Step-by-step explanation:

An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of

ibuprofen left in the persons system

This means that in 2 hours time

400- 201.6= 198.4 mg was used up.

We need only 25 mg in the system

so 400- 25= 375 mg  time is needed

time          mg

2 hour      198.4

x                375

Using the cross product rule

x= 375*2/198.4

x= 3.780 hrs

Which means 3 hours and (0.78* 60)= 46.8 minutes.

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.