A tractor-trailer travels 205. 296 miles in 3. 12 hours. What is the speed at which the tractor-trailer is traveling? A. 62. 05 miles per hour B. 63. 2 miles per hour C. 64. 05 miles per hour D. 65. 8 miles per hour E. 66. 5 miles per hour.

The hydrostatic force is given by the integral of the force acting on

small horizontal strips from the base to the top of the triangle.

Response:

The given parameters are;

Base of the triangle = 6 m

Height of the triangle = 15 m

Acceleration due to gravity, g ≈ 9.8 m/s²

Weight density of water, ρ ≈ 1,000 kg/m³

Required:

Hydrostatic force on one side of the plate

Solution:

Considering a thickness, dx, having area, dA = y·dx

The pressure on the strip = ρ·g·x

Force on the strip, dF = ρ·g·x·y·dx

Using similar triangles, we have;

[tex]\dfrac{x}{15} = \dfrac{y}{6}[/tex]

Which gives;

[tex]y = \dfrac{x}{15} \times 6 = \mathbf{ \dfrac{2}{5} \cdot x}[/tex]

Therefore;

[tex]dF = \rho \cdot g \cdot x \cdot \dfrac{2}{5} \cdot x \cdot dx = \mathbf{\rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} \cdot dx}[/tex]

Which gives;

[tex]F =\displaystyle \int\limits^{15}_0 { \rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} } \, dx = \mathbf{\left[\rho \cdot g \cdot x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0}[/tex]

Therefore;

[tex]F = \rho \cdot g \cdot \left[x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0 = \mathbf{ \rho \cdot g \times 15^3 \cdot \dfrac{2}{3\times 5}} = 450 \cdot \rho \cdot g[/tex]

Which gives;

F = 450 m³ × 1,000 kg/m³ × 9.8 m/s² = 4,410,000 N = 4.41 MN

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Answer:

its c

Step-by-step explanation:

Answer:

3x² + 2x + 18

Step-by-step explanation:

24x² + 16x + 144 .......simplify by 4

6x² + 4x + 36

3x² + 2x + 18

Answer:

c

Step-by-step explanation:

3*8=24

2*8=16

18*8=144

then you put the variables behind em :)

Answer:

2 are shades of blue.

Step-by-step explanation:

[tex]10 \times 20\% \\ = 2[/tex]

Answer: it will be 6 ounces of frozen yogurt and 10 ounces of orange juice.

Step-by-step explanation:

3 parts frozen yogurt

5 parts orange juice For a total of 8 parts divided by 16 ounces = 2 Multiply 3 fy x 2= 6 ounces And multiply 5 oj x 2= 10 ounces

Answer:

heyyy here's your answer hope it helps you

Step-by-step explanation:

1. 4a+7a=11a.

2.20y-6y=14y.

3.8m-8m=0.

4.9b+6=9b+3.

The system of linear inequalities that shows the number of hours as described is;

According to the task content;

Hence, it follows that;

Read more on inequalities;

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Answer:

5 hours babysitting, 4 hours bagging

OR

9 hours babysitting, 1-hour bagging.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

LC = 1/2 LH

2LC = LH

2(10) = LH

LH = 20

Answer:

B. 20

Step-by-step explanation:

Because the distance from L to C is ten so the distance from L to H is double of the distance from L to C.

Answer:

true

Step-by-step explanation:

I mean it sound true

Answer:

true

it sounds true to me

Answer:

Function : 1 input 1 output

not a Function : 1 input more than 1 output

ck12org

Answer:

The positions of your north celestial pole and south celestial pole change as you change latitude on the Earth, as you move north or south. At the Earth's equator, the Celestial Equator is directly overhead, and the poles are on opposite sides of the horizon. All stars are visible as they rise, culminate at the meridian, and set. As you move north, the Celestial Equator mirrors your movement, moving south the same number of degrees away from the zenith. The altitude of any star will change with the observer's latitude (as well as the time of night).

Note: only the altitude of the star changes NOT their coordinates. The star's celestial coordinates remain the same.

Step-by-step explanation:

Declination is measured in degrees north (+) or south (-) of an imaginary line called the Celestial Equator (CE). The Celestial Equator is the projection of the Earth's Equator onto the Celestial Sphere. The CE has a declination of 0 degrees, by definition. At dec = +90 degrees (90 degrees N) is the North Celestial Pole (NCP), the projection of the Earth's North Pole onto the Celestial Sphere. The South Celestial Pole (SCP) is at dec = -90 degrees.

An Example would be:

You move 30 degrees North of the equator, hence, the Celestial Equator has moved away from the zenith, 30 degrees to the south.

While the NCP has risen 30 degrees into the sky and the SCP has sunk 30 degrees below the horizon.

If you moved south, the opposite would have occurred as the Celestial Equator moved north of the zenith.

Answer:

3.4 gigabytes

Step-by-step explanation:

Because 57.20$ divided by 47 is 10.20 and 3 goes in to 10.2 3.4 times.

Speed is the ratio of distance and time. When we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

Speed can be defined as the rate of change in the position of an object. It is given as,

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Given to us

Distance traveled, f(x) = 2x+26

Time, g(x) = x − 1

As we know that the ratio of distance and time is equal to the speed of the object. Since the distance traveled by the flock of birds is given also, the time needed for them to travel the distance is also given.

We need to find f divided by g of 5, which is the speed of the flock,

[tex]Speed = \dfrac{Distance}{Time} = \dfrac{f(x)}{g(x)}[/tex]

[tex]Speed = \dfrac{f(x)}{g(x)} = \dfrac{2x +26}{x-1}[/tex]

[tex]Speed = \dfrac{f(5)}{g(5)} = \dfrac{2(5) +26}{(5)-1}\\\\Speed = 9 \rm\ miles/ hour[/tex]

Hence, when we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

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Answer:

a

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Set up proportion and cross multiply to solve:

9/2x-1 = 15/3x

x = 5

Answer:

Step-by-step explanation:

An angle bisector divides the base into ratios obtained by the sides of the triangle that are not divided. So

9/(2x - 1) = 15/3x                  Divide 3 into 15

9/(2x - 1) = 5/x                     Cross multiply

9x = 5(2x - 1)                        Remove the  brackets

9x = 10x - 5                          Switch sides.

10x - 5 = 9x                          Subtract 9x from both sides

10x - 9x - 5 = 0                    Combine

x - 5 = 0                               Add 5 to both sides.

x = 5

Polynomials are expressions. The polynomial whose solution set is {5} is x²-10x+25.

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

As it is given that the {5} is the solution set of the function, therefore, we can write,

[tex]x = 5\\(x-5 )= 0[/tex]

Thus, (x-5) is one of the factors of the polynomial.

Let's assume that the 5 is the only root of the polynomial, therefore, if we multiply the factor by itself we will get the quadratic equation whose solution is only 5.

[tex](x-5)^2\\\\\text{Using the algebric identity we will get}\\\\x^2-10x+25[/tex]

Hence, the polynomial whose solution set is {5} is x²-10x+25.

Learn more about Polynomials:

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Answer:

x²-10x+25

Step-by-step explanation:

It was correct for me

Answer:

Step-by-step explanation:

1)

2)

Answer:

it is the heading so pick that and you answer is done

Check the picture below.

so each triangular face has a height of 91.4 and a base of 115, and there are four of them, now, we're only considering the "lateral area", that excludes the base.

[tex]\stackrel{\textit{area of 4 triangles}}{4\left[ \cfrac{1}{2}(115)(91.4) \right]}~~\implies ~~ 21022[/tex]

Answer:

heres a screenshot of the correct answer

Hope This Helps!!!

Answer:

4x-18y

Step-by-step explanation:

[tex]x-\left(7y-3x\right)-11y[/tex]

Let's apply the distributive law: -a(a-b)=-a+b

[tex]-\left(7y-3x\right)=-7y+3x[/tex]

[tex]x-7y+3x-11y[/tex]

Now, we'll Group terms

[tex]x+3x-7y-11y[/tex]

[tex]4x-18y[/tex]

Hope this helps!

Answer:

broken

Step-by-step explanation:

You use a dashed line when you have < or >.

When there is the "or equal to" bar under the <, > symbols then you use a solid line.

There are 12 months in a year, so Matt would theoretically earn

$56,980 / 12 ≈ $4,748.33

each month. (But his earnings will certainly be taxed, so the real answer is less than this.)

Answer: $4,748

Step-by-step explanation: A year is 12 months and since he gets paid once a month, then you divide $56,980 by 12, and that equals $4,748 a month.

Hope it helps and have a great day!

Answer:

(a) d=65t

Step-by-step explanation:

If, for example she drove 10 hours, and she drove 65 miles each hour:

d=?

t= 10 hr

Speed= 65 mph

The formula for distance (check triangle linked below) is d=st (s*t)

so,

d=65t

hope this helps. It really simple, But I don't think I explained it too well.

Answer:

x= 38/5

Step-by-step explanation:

Answer:

Quadratic equation

Step-by-step explanation:

The formula is - b+- square root b^2 - 4ac all divided by 2a

a=1

b=-10

c=74

So substitute the values and remember to keep the value in a bracket so the outside operator affects it

-(-10)+- square root (-10)^2 - 4(1)(74) all divided by 2(1)

Giving you 2 answers of x as their is a positive and negative square roots

X=-138

X=

Answer:

a and c

Step-by-step explanation:

5(-2)<2

-10<2

5(-5)<2

-25<2

surface area=total area of rectangle

the base total Surface area

=(LW+lw)2

=(8×4+6×3)2

=(32+18)2

=50×2

=100cm²

surface area of a rectangle

4×12

48cm²

SA of another rectangle

5×12

60cm²

Sa of contact base

8×12=96cm²

sa of height rectangle

10×12

120cm²

Sa of another rectangle

6×12

72cm²

area of the top=3×12

36cm²

total area=100cm²+48cm²+60cm²+96cm²+120cm²+72cm²+36cm²

sa=532cm² is the answer

hope it was helpful.

please mark brainliest

Answer:

Step-by-step explanation:

x+5=8

x=3

x+5= -8

x=-13

lesser x=-13

greater x= 3

[tex] \leadsto \sf \dfrac{p}{9} + 89 = - 103[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf \dfrac{p}{9} = - 192[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf p = - 192 \times 9[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf p = - 1728[/tex]