The depth of a river at flood stage is marked as "O" on a tall pole in the middle of a riverbank. The pole is marked in 1-foot intervals above

and below 0 to show the current depth of the water.

Drag a value and a word to the blanks to complete the sentence.

When the water level is at the "-4" mark on the pole, the river is

feet

the flood stage.

Answer:

2.5 cm

Step-by-step explanation:

6*5=30

30/2=15

That's the area of the triangle

The area of the rectangle must also equal 15

6*w=15

Divide by both sides by 6

This gives you: 2.5

The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm

Used the formula of area of the rectangle and area of the triangle which states that,

Area of rectangle = Length × Width

And, Area of triangle = 1/2 × Base × Height

Given that,

The triangle and the rectangle have the same area.

Here, in a triangle;

Base = 5 cm

Height = 6 cm

So, the Area of the triangle is,

[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]

[tex]A = 15 \text{ square cm}[/tex]

In a rectangle;

Length = 6 cm

Width = w cm

So, the area of a rectangle,

[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]

Since the triangle and the rectangle have the same area.

So, equate both the area of the triangle and rectangle,

[tex]6 \times w = 15[/tex]

Divide both sides by 6,

[tex]w = \dfrac{15}{6}[/tex]

[tex]w = 2.5 \text{ cm}[/tex]

So, the value of w is 2.5 cm

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Answer:

[tex] (A)\displaystyle \begin{array} {ccc} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{array} [/tex]

Step-by-step explanation:

since the line is horizontal and passes -2 the equation of the blue line should be

[tex] \displaystyle \large y = - 2[/tex]

remember The form of equation of a line

[tex] \displaystyle \boxed{ \displaystyle y = mx + b}[/tex]

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3

to figure out m we can consider the following formula:

[tex] \displaystyle m = \frac{ \Delta y}{ \Delta x} [/tex]

from the graph we acquire ∆y=1 and ∆x=2

thus substitute:

[tex] \displaystyle m = \frac{ 1}{ 2} [/tex]

so we have figured out m and b

therefore our equation of blue line is

[tex] \displaystyle y = \frac{1}{2} x - 3[/tex]

our given options are in standard form so

move -3 to left hand side and change its sign:

[tex] \displaystyle y + 3= \frac{1}{2} x [/tex]

cross multiplication:

[tex] \displaystyle 2y + 6= x[/tex]

move 6 to right hand side and x to left hand side and change its sign

[tex] \displaystyle - x + 2y = - 6[/tex]

multiply both sides by -1:

[tex] \displaystyle x - 2y = 6[/tex]

hence, our system of linear equation is

[tex] \displaystyle \begin{cases} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{cases}[/tex]

Answer:

100000

Step-by-step explanation:

First multiplt the given njmber with 2000 and subrat total number givem

Answer: c

Step-by-step explanation:

Answer:

128√5/3 mm³

Step-by-step explanation:

Since we are not told what to find, we can as well look for the volume of the pyramid

Volume of a square pyramid: V = (1/3)a²h

a is the side length of the square

h is the height of the pyramid

Given

a = 8mm

l² = (a/2)² + h²

l² = (a/2)² + h²

6² = (8/2)² + h²

h² = 6² - 4²

h² = 36 - 16

h² = 20

h = √20

Volume of a square pyramid =  (1/3)*8²*√20

Volume of a square pyramid = 1/3 * 64 * 2√5

Volume of a square pyramid = 128√5/3 mm³

Answer:

correct

Step-by-step explanation:

my brain be smart

Answer:

0 and - 13/15

Step-by-step explanation:

Answer:

129 cm

Step-by-step explanation:

The total height of all the people: 150 × 4 = 600 cm

The total height of Sally, Jackson and Tina: 145 × 3 = 435 cm

David’s height: 600 – 435 = 165 cm

Tina’s height: 165 + 5 = 170 cm

Jackson’s height: 170 × 4/5 = 136 cm

Therefore, Sally’s height: 600 – 165 – 170 – 136 = 129 cm

Thenks and mark me brainliest :))

The height of Sally will be 133 centimeters and the height of Jackson is 132cm.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The average height of Sally, Jackson, Tina, and David is 150 cm per person. Then the equation is given as,

(S + J + T + D) / 4 = 150

S + J + T + D = 600  ...1

The average height of Sally, Jackson, and Tina is 145 cm per person. Then the equation will be

(S + J + T) / 3 = 145

S + J + T = 435      ...2

Tina is 5 cm taller than David. Then the equation will be

T = D + 5  ...3

Jackson is 4/5 as tall as David. Then the equation will be

J = (4/5)D    ...4

From equations, 1 and 2, then we have

435 + D = 600

D = 165 cm

From equation 4, then we have

J = (4/5) x 165

J = 132 cm

From equation 3, then we have

T = 165 + 5

T = 170 cm

From equation 2, then we have

S + 132 + 170 = 435

S = 133 cm

The height of Sally will be 133 centimeters.

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9514 1404 393

Answer:

  A.  -6

Step-by-step explanation:

The average rate of change on that interval is given by ...

  m = (f(0) -f(-1))/(0 -(-1)) = f(0) -f(-1)

  m = -3 -(3) = -6

The average rate of change on the interval is -6.

Answer:

Step-by-step explanation:

Answer:

-5,-2,2,5

Step-by-step explanation:

9514 1404 393

Answer:

  right triangle

Step-by-step explanation:

Segment P1-P2 is horizontal of length 2-(-4) = 6. Segment P2-P3 is vertical of length 1-(-3) = 4. The horizontal and vertical sides are perpendicular to each other, so it is a right triangle. The sides are of different lengths, so it is a scalene triangle (not isosceles).

10

you 5×2=10

that how you get your answer

Answer:

Area=76.8

Perimeter=49.6

Good luck!

Answer:

? sorry what?

Step-by-step explanation:

Answer:

i Don't know this but other's can help you.

Answer:

about 23 minutes

Step-by-step explanation:

(65x35)/(65+35)= 2,275/100= 22.75 minutes (or 23 if rounded)

Answer:

ŷ = -0.47876X + 11.17724

$6.4

Step-by-step explanation:

Given the data :

Car Age (years) Selling Price ($000) Car Age (years) Selling Price ($000)

1 9 8.1 7 8 7.6

2 7 6 8 11 8

3 11 3.6 9 10 8

4 12 4 10 12 6

5 8 5 11 6 8.6

6 7 10 12 6 8

The estimated regression equation using a linear regression calculator is :

y = -0.47876X + 11.17724

With - 0.47876 being the slope ; and 11.17724 being the intercept

y = predicted variable (price of car) ; x = predictor variable (Age of car)

Selling price of a 10 year old car : x = 10

ŷ = -0.47876(10) + 11.17724

Price = 6.38964

About 6.4(000) dollars ($6,400)

According to the regression equation : The starting price of cars is about $11.18 (intercept) with the proved of cars declining by a value of $0.479(negative slope value) each year.

Answer:

1 10/17

Step-by-step explanation:

make 45 a fraction by putting a denominator of 1

3/85 * 45/1

3*45 = 135

85*1 = 85

Simplify 135/85 = 1 10/17

Answer:

27.7"

Step-by-step explanation:

use the pythagorean theorem

a² + b² = c²

a² + 16² = 32²

a² + 256 = 1,024

subtract 256 from both sides

a² = 768

Take the square root of both sides

a = 27.7128129211

a = 27.7"

Answer:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal

Step-by-step explanation:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

Answer:

Product – Attributes of an organization or offering within this segment include delivery system design, technology, quality, services provided and their availability.

Price – This silo of the marketing mix includes costs to users/supporters, payment periods, arrangements and terms. Note: Some have also argued “costs” are more than dollars … a full cost analysis should include emotional (for those seeking greater purpose, advancements, victory), sacrificial (for people giving time, energy, focus) and relational (what does one’s association with an organization do for their relationships … will people think more or less of them).

Place – An often-overlooked part of the marketing mix, this “P” covers strategy and executional elements surrounding service distribution channels, coverage, locations, logistics and e-services.

Promotion – Likely the most known aspect of the marketing mix, this piece considers strategies and tactics related to advertising, logo/identity and promotions. But it also covers development/fundraising, communications, events and public relations as they are all tools to be considered and deployed as part of the greater marketing and branding strategy.

Answer:

He showed that f(n) ÷ f(n - 1) was a constant ratio.

Given that Jake has proved that a function f(x) is a geometric sequence.

GEOMETRIC SEQUENCE:  A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.

So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.

That is, if 'c' is the constant that was used in the proof, then we must have

This implies that

Therefore, he showed that  f(n) ÷ f(n - 1) was a constant ratio.

Answer:

9 + 35x = 310

Step-by-step explanation:

Answer: x = -30

Step-by-step explanation:

y = -20 by using process of elimination substitute y as -20 in either of the equations you get -30 for x

The solution to the system of equations is x = 390 and y = 50. The value of x is equal to 390.

To find the value of x, solve the system of equations using the method of  substitution . Let's use the method of elimination:

Given equations:

x - 12y = -210                      (1)

x - 6y = 90                          (2)

To eliminate x, we can subtract equation 2 from equation 1:

(x - 12y) - (x - 6y) = (-210) - 90

Simplifying the equation:

x - 12y - x + 6y = -210 - 90

-6y = -300

Divide both sides of the equation by -6:

y = -300 / -6

y = 50

Now, substitute the value of y back into either equation:

x - 6(50) = 90

Simplify the equation:

x - 300 = 90

Add 300 to both sides of the equation:

x = 90 + 300

x = 390

Therefore, the solution to the system of equations is x = 390 and y = 50.

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Answer:

Volume of a Cylinder:

In geometry, a cylinder is a three-dimensional shape with a circular base, a circular top and straight sides. It is the solid figure that you get when you rotate a rectangle about one of its sides. In most cases when we talk about the volume of a cylinder, we are talking about how much liquid it can hold.

The strictly correct way of saying it is "the volume surrounded by a cylinder" - the amount of liquid it holds. But many textbooks simply tell "the volume of a cylinder" to mean the same thing.

Remember that the radius and the height must be in the same units - convert them if necessary.

The resulting volume will be in those cubic units. So if the height and radius are both in centimeters, then the volume will be in cubic centimeters.

The volume of a cylinder is found by multiplying the area of its top or base by its height and is defined as: V = π· r2· h

Example 1: A cylindrical water storage tank has an inside base radius of 7m and depth of 11 m. Find the capacity of the tank in kiloliters (1kl = 1m3).

Solution:

Base radius: r = 7 m

Height: h = 11 m

The water storage tank is in the shape of the cylinder. So using the volume of cylinder formula we can find the volume of it.

V = π· r2· h

V = π· 72· 11

V = 1692.46 m3 = 1692.46 kl

Example 2: Find the volume of a cylinder whose base radius is 6 cm and height is 4 cm.

Solution:

Base radius: r = 6 cm

Height: h = 4 cm

V = π· r2· h

V = 3.14· 62· 4

V = 452.16 cm3

Example 3: If the capacity of a cylindrical tank is 1848 m3 and the diameter of its base is 14 m, find the depth of the tank.

Solution:

Let the depth of the tank be h metres. Then we have:

V = π· r2· h

h = V / π· r2

h = 12 m

Example 4: A conical vessel, whose internal radius and height is 20cm and 50 cm respectively, is full of liquid. Find the height of the liquid if it is put into a cylinder whose base radius is 10 cm.

Solution:

The volume of the vessel is:

V = π ∙ r2 ∙ h / 3

V = π · 202· 50 / 3

V = 20944 cm3

The volume of the liquid is the same no matter it is in the vessel or in the cylinder, therefore we have:

V1 = V2, where V1 is the volume of the vessel and V2 is the volume determined using the formula for a cylinder.

20944 = π · 102 · h

Thus:

h = 20944 / (π · 102)

h = 66.67 cm

Example 5: Find the volume of a right circular cylinder whose curved surface area is 2640 cm2

And the circumference of its base is 66 cm.

Solution:

To begin with we need to determine the base radius using the formula for circular perimeter (circumference).

P = 2 · π ·r

r = P /(2 · π) = 66 / (2 · π) = 10.50 cm

Now we will find the height of the cylinder using the formula for surface area of a cylinder.

SA = P · h

h = SA / P = 2640 / 66 = 40 cm

The volume of the cylinder is therefore:

V = π· r2· h

V = π· 10.502· 40

Answer:

The missing value in shirts is 28, and the missing value in jackets is 14.

Step-by-step explanation:

Answer:

I believe its 34

Step-by-step explanation:

because for example the first 2 numbers are both 1 and 1 + 1 is 2 which is the 3rd number and 13 + 21 is 34 I really hope this helped

Answer:

1/2

Step-by-step explanation:

The Rational Root Theorem says that any rational root has

1. a numerator that is a factor of the constant term

2. a denominator that is a factor of the leading coefficient (that's attached to the highest-power term)

Numerator:  [tex]\pm 1[/tex]

Denominator: [tex]\pm 2[/tex]

That means there are only two possible rational roots: [tex]\pm \frac{1}{2}[/tex]

Try them both by plugging them into the polynomial.

[tex]2\left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right)^2 -1= \frac{1}{4}+\frac{3}{4}-1 =0[/tex]

Aha!  The negative one-half value does not produce 0

4.2^n+12^n+2/2^n+12^n

Step-by-step explanation:

Answer:

9.8in

Step-by-step explanation:

i think this right