A train travels 2,700 miles in 30 hours and travels the same distance each hour. How many miles does the train travel each hour

Given:

In isosceles triangle ABC, consider AB=BC and the segment BD with D a point on AC is the median to the base AC.

Perimeter of ABC is 50m and the perimeter of ABD is 40m.

To find:

The length of BD.

Solution:

In isosceles triangle ABC the segment BD with D a point on AC is the median to the base AC.

[tex]AB=BC[/tex]           ...(i)

[tex]AD=CD[/tex]

[tex]AC=2AD[/tex]         ...(ii)

Perimeter of ABC is 50m.

[tex]AB+BC+AC=50[/tex]

[tex]AB+AB+2AD=50[/tex]      [Using (i) and (ii)]

[tex]2AB+2AD=50[/tex]

[tex]2(AB+AD)=50[/tex]

Divide both sides by 2.

[tex]AB+AD=25[/tex]        ...(iii)

Now, perimeter of ABD is 40m.

[tex]AB+AD+BD=40[/tex]

[tex]25+BD=40[/tex]         [Using (iii)]

[tex]BD=40-25[/tex]

[tex]BD=15[/tex]

Therefore, the length of BD is 15m.

Answer:

y+5=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

The linear function passing through points  (3,-5) and (5,- 1) is given by:

y = 2x+ 13.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

For this problem, the two points that form the function are given as follows:

(3,-5) and (5,- 1)

The slope is given by change in y divided by change in x, hence it is given by:

m = (y₂-y₁)/ (x₂-x₁)

m = (-1+5)/(5-3)

m = 4/2

m = 2

Then:

y = 2x + b.

When x = 3, y = -5, hence we can find the intercept b of the function as follows:

3 = 2 x -5 + b

b = 3+ 10

b = 13

Hence the equation is:

y = 2x+ 13

More can be learned about linear functions :

brainly.com/question/24808124

#SPJ2

Answer:

it will be 1.75$

Step-by-step explanation:

56-18

38x2.25

117$ - 85.5$

31.5 / 18

Answer:

2. x=5

y=10

3. x=21

y=4

Step-by-step explanation:

2. 13y=20x+3y    10y=20x

8x+y=180-13y      14y=180-8x

y=2x    plugging that into 14y=180-8x   28x=180-8x     36x=180   x=5

plug x into 10y=20x    10y=100    y=10

3. 3(x+y)=(4x-9)    3x+3y=4x-9   x=3y+9

5x=180-4x+9        9x=189          x=21

plug 21 into x=3y+9     21=3y+9    12=3y    4=y

Step-by-step explanation: It is gradually going up in numbers going down.

From 1 to 10 is 9

From 10 to 18 is 8

From 18 to 25 is 7

So from 25 to 31 is 6.

Hope this helps you! ;)

Answer:

31

Step-by-step explanation:

You add 9, then 8, and so on

Answer:

y=2x+5

because y is the final cost, x is the amount of miles times 2 since each mile costs $2, and an addition $5 for the taxi-pickup

Answer:

You need to show the graph.

Step-by-step explanation:

Answer:

Step-by-step explanation:

7:8 is 7/8

9:5

Answer: C {48,65,80}

Step-by-step explanation:

In order for it to be a right triangle it would have to be {48,64,85}

Hope this helps

Let a and b be the two numbers. Then

a + b = -4

a b = -2

Solve the second equation for b :

b = -2/a

Substitute this into the first equation:

a - 2/a = -4

Multiply both sides by a :

a² - 2 = -4a

Move 4a to the left side:

a² + 4a - 2 = 0

Use the quadratic formula to solve for a :

a = (-4 ± √(4² - 4(-2))) / 2

a = -2 ± √6

If a = -2 + √6, then

-2 + √6 + b = -4

b = -2 - √6

In the other case, we end up with the same numbers, but a and b are swapped.

Answer:

12cm

Step-by-step explanation:

You can draw a triangle with hypotenusa 13, height h and base 5 (the difference between the radius 9 and 4). Then pythagoras tells us that

13² = h² + 5²

so

h = 13² - 5² = √144 = 12

Answer:

a.2

Step-by-step explanation:

Answer:

$65

Step-by-step explanation:

$205 - $75 = $130

$130 / 2 hours = $65

The hourly rate, in dollars, is $65 per hour.

Answer:

negative 1 over 27

Step-by-step explanation:

81 * negative 1 over 27 = -3

Answer:

[tex] \dfrac{1}{27} [/tex]

Step-by-step explanation:

[tex] 81^{-\frac{3}{4}} = [/tex]

[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]

[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]

[tex] = \dfrac{1}{(3)^3} [/tex]

[tex] = \dfrac{1}{27} [/tex]

Answer:

6.9 ft

Step-by-step explanation:

The Pythagorean Theorem. :)

a^2 + b^2 = c^2

4^2 + b^2 = 8^2

16 + b^2 = 64

b^2 = 48

D = 6.928

<3 Enjoy,

    Dea

The length of the stake needs to be from the middle of her tent will be 6.9 feet. Then the correct option is D.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long.

Then the length of the stake needs to be from the middle of her tent will be

We have

P = 4 ft

H = 8 ft

Then the base is given by the Pythagoras theorem.

B² = H² - P²

B² = 8² - 4²

B² = 64 - 16

B² = 48

B = 6.9 ft

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

Perimeter is 80cm

Step-by-step explanation:

A rectangle's area is calculated by multiplying the length by the width. If we are given the area of the rectangle and the length then we would simply need to solve for the width of the rectangle using the area formula we just mentioned...

A = l * w

336[tex]cm^{2}[/tex] = 12cm * w  ... divide both sides by 12cm

28cm = w

Now we can see that the width of this rectangle is 28cm. To find the perimeter we need to add all four sides together, since we know that a rectangle's opposite sides are the same then we add the length and the width twice to calculate the perimeter (P)

P = 12cm + 12cm + 28cm + 28cm

P = 80cm

Given:

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).

To find:

The coordinates of point P.

Solution:

Section formula: If a point divide a line segment in m:n, then the coordinates of point are

[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get

[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]

[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]

[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]

[tex]P=\left(-1,4\right)[/tex]

Therefore, the coordinates of point P are (-1,4).

Answer:

49

Step-by-step explanation:

28-21=7

7 to the power of two is the same as 7(7)

7(7)=49

Answer:

3/4

Step-by-step explanation:

3/4 = 75%

11/16 = about 68%

Therefore, 3/4 is greater

Answer:

Answer:

g(x) has a minimum

Step-by-step explanation:

Given a quadratic in standard form

g(x) = ax² + bx + c ( a ≠ 0 )

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Given

g(x) = x² - 5x + 2 ← in standard form

with a > 0 , thus

g(x) has a minimum

Answer:

1/15 pie

Step-by-step explanation:

An easy way to do this is instead of dividing, multiply the denominator by 5. You get 15. You can say Im just making a coincidence, but try it yourself!

(1/3)/5 is basically multiplication. You may have heard the saying, "division with fractions is multiplication". Thats true. Turn 5 into 5/1 and multiply. 5/1x1/3.

you get 1/15. Hope it helps

Also you have to flip 5/1 to 1/5 and then multiply hehe. thats how you get 1/15

Answer:

Its B, 1/15 hope this helps

Step-by-step explanation:

9514 1404 393

Answer:

  C, D

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

__

The correct equations are the last two.

For the first two, the appropriate products are ...

  [tex]4c^4(3c^2)=4\cdot3c^{4+2}=12c^6\\\\3b^3(a^2b^4)=3a^2b^{3+4}=3a^2b^7[/tex]

Answer:72

Step-by-step explanation:

Answer:

Area = 1/2 (a + b )h

area = 1/2 ( 22.2 + 8.52 ) 9.86

area = 1/2 ( 30.72) 9.86

area = 1 x 30.72 x 9.86 ÷ 2

area = 151. 4496cm²

Answer:

The area of the trapezoid is 151.45cm sq

Answer:

222mm

Step-by-step explanation:

The perimeter of a triangle is the sum of all of the sides. This triangle is equilateral, which means that all sides are equal and in this case, each side is 74mm. So to find the perimeter of this triangle add each, 74+74+74, which equals 222. Therefore, the answer must be 222mm.

Answer:

the answer is 222 mm.

hope it works

Answer:

10

Step-by-step explanation:

7 + (-3) = -10

But it's |7| + |-3| which means it is the absolute value

So 10

Hope this helps :)

Please consider Brainliest :)

Answer:

u say which but don't even give us options.

Answer:

y int is 20

slope = 2

equation: y = 2x + 20