Kate stands 2 meters from a lamppost. She is 2.1 meters tall and casts a shadow 3 meters long in the light from the lamp. How tall is the lamppost? See diagram below.​

Answer:

3x−y=2

Step-by-step explanation:

Answer:

65/100

Step-by-step explanation:

Answer:

65/100= 13/20

Step-by-step explanation:

divide by 5

9514 1404 393

Answer:

Step-by-step explanation:

A) In order to write the equations of the perpendicular bisectors of the segments, we need to know the midpoint and the slope.

The midpoint is the average of the coordinates:

  midpoint(A, B) = ((-3, 5) +(1, 1))/2 = (-3+1, 5+1)/2 = (-1, 3)

  midpoint(A, C) = ((-3, 5) +(-7, -3))/2 = (-3-7, 5-3)/2 = (-5, 1)

The differences between the coordinates of the points can be helpful:

  B-A = (1, 1) -(-3, 5) = (1+3, 1-5) = (4, -4) . . . . . reduces to (∆x, ∆y) = (1, -1)

  C-A = (-7, -3) -(-3, 5) = (-7+3, -3-5) = (-4, -8) . . . . . reduces to (∆x, ∆y) = (1, 2)

_____

A line through point (h, k) perpendicular to one with (∆x, ∆y) can be written:

  (∆x)(x -h) +(∆y)(y -k) = 0

Then the bisectors of AB and AC will be ...

  (x +1) -(y -3) = 0

  (x +5) +2(y -1) = 0

Their intersection point can be found by solving this system.

  (x +2y +3) -(x - y + 4) = (0) -(0) . . . . . subtract the 1st equation from the 2nd

  3y -1 = 0

  y = 1/3

  x = y -4 = -3 2/3

The point of intersection of the right bisectors is (x, y) = (-3 2/3, 1/3).

__

B) The intersection point is the circumcenter. It will be the same distance from any of the vertices.

That distance can be found using any of the vertices. Using point B, we find the distance to be ...

  d = √((-3 2/3 -1)^2 +(1/3 -1)^2) = √((14/3)^2 +(2/3)^2) = √(200/9)

  d = (10/3)√2

The distance to each vertex is (10/3)√2 ≈ 4.71.

Answer:

∠ C

Step-by-step explanation:

sin C = 14 / 50 = 7 / 25

Answer:

<C

Step-by-step explanation:

7/25 = 14/50

sin X = opp/hyp = 14/50

opp = 14

The angle whose opposite leg is 14 is <C.

Answer: <C

Answer:

Adam's container

Step-by-step explanation:

Given

Adam

[tex]Weight = 3.5\ oz[/tex]

[tex]Amount = \$8.75[/tex]

Macro

[tex]Weight = 3.75\ oz[/tex]

[tex]Amount = \$9.75[/tex]

Required

Determine the better buy

First, we need to determine the unit cost per oz of each

i.e.

[tex]Unit\ Cost = \frac{Amount}{Weight}[/tex]

For Adam:

[tex]Unit\ Cost = \frac{8.75}{3.5}[/tex]

[tex]Unit\ Cost = 2.5[/tex]

For Marco:

[tex]Unit\ Cost = \frac{9.75}{3.75}[/tex]

[tex]Unit\ Cost = 2.6[/tex]

The better buy of both is the one with the smaller unit cost.

Since 2.5 < 2.6, we can conclude that Adam's container is a better buy

i like chicken nuggets

Answer:

what the heck is this

Step-by-step explanation:

Answer: it’s D

Step-by-step explanation:

Step-by-step explanation:

It is given that,

The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.

(a) In scientifc notation, the distance from the Sun to Venus will be :

There are 8 numbers before 1. It means

d = 1.08 × 10⁸ km

(b) In scientific notation, the diameter of a human hair will be :

There are 3 numbers after decimal. It means

D = 2.5× 10⁻³ mm

(c) Before comparing two measurements, both values must be converted into the same units.

Since, 1 mm = 10⁻⁶ km

D = 2.5× 10⁻³ × 10⁻⁶ km

= 2.5 × 10⁻⁹ km

For comparison divide the distance from the Sun to Venus and the diameter of a human hair.

[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]

Hence, this is the required solution.

Answer:

Exact Form:

−55/24

Decimal Form:

−2.2916...

Mixed Number Form:

−2 7/24

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

c.15

Step-by-step explanation:

smaller integer=x

larger integer=x+1

3x+4(x+1)=109

3x+4x+4=109

7x+4=109

7x=105

x=105/7

x=15

check:

3(15)+4(15+1)=109

45+64=109

Answer:

1 half with 3/10 left over.

Step-by-step explanation:

1/2 is also 5/10, so that means that there is one 5/10 is 8/10, with 3/10 left over

Answer:

4(3x + 2)  

Step-by-step explanation:

Rewrite 8 as 4 x 2

Rewrite 12 as 4 x 3

= 4 x 3x + 4 x 2

= 12x + 8

Answer:

I think

Step-by-step explanation:

it is answers is m is 117

Answer: You can go online and type ps5 and it will get shipped to you. Or you can check Target, Bestbuy, Gamestop and etc.

Step-by-step explanation:

Answer:

gamestop or online!!

Step-by-step explanation:

hope this helps!!

9514 1404 393

Answer:

  4x +10y

Step-by-step explanation:

Indicate the subtraction, use the distributive property, collect terms.

  (x +6y) -(-3x -4y) = x +6y +3x +4y

  = (x +3x) +(6y +4y)

  = 4x +10y

Answer:

2y - 4x

Step-by-step explanation:

equation: x + 6y - 3x - 4y

combine like terms: x -3x + 6y - 4y

add/subtract: -4x + 2y

switch: 2y - 4x

I hope this helped, please mark Brainliest, thank you so much!!

Answer:

B The relationsip does not represent a function because for one x-value, there is more than one y-value

Step-by-step explanation:

Answer:

100,000m

Step-by-step explanation:

find the square root of 100 squared +1,000squared

Answer:

-36+(-3)+2(27+6)

-36+(-3)+2(33)

-36-3+66

-39+66

27

Answer:

27

Step-by-step explanation:

PEMDAS

– 36 + (–3) + 2(27 + 3 X 2)

-39+ 2(27 + 3 X 2)

-39+2(27+6)

-39+2(33)

-39+66

27

Hope this helped!!

Answer:

b = 128 answers it is alternate angle

Answer:

C). b=118

Step-by-step explanation:

took the test on edge

Answer: A. contains mirrors that reflect the object

Step-by-step explanation:

A periscope contains mirrors in it that are on opposite sides and are arranged in a 45° angle to each other. It works by light striking the first mirror which cause its to reflect it at a 45° angle to the next mirror.

Depending on the length of the periscope, this continues until the last mirror reflects the incoming light to the eyes of the person using the periscope thereby allowing them to see objects hidden behind or under a barrier.  

Answer:

$992.00

Step-by-step explanation:

Where:

I = P x r x t

P is the principal amount, $800.00.

r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.

t is the time involved, 4....year(s) time periods.

So, t is 4....year time periods.

To find the simple interest, we multiply 800 × 0.06 × 4 to get that:

The interest is: $192.00

Usually, now, the interest is added onto the principal to figure some new amount after 4 year(s),

or 800.00 + 192.00 = 992.00. For example:

If you borrowed the $800.00, you would now owe $992.00

If you loaned someone $800.00, you would now be due $992.00

If owned something, like a $800.00 bond, it would be worth $992.00 now.

Answer:

10^3 = 1000. Look at the question carefully. it says the speed is in meters per second while your distance is in kilometers so yeah need to multiply by 1000

Answer:

Basically do -19.5 divided by 3

The answer is -6.5

Step-by-step explanation:

Hope that helps :)

The rate of change in elevation is approximately -6.5 centimeters per second.

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

To find the rate of change in elevation, we need to divide the change in elevation by the time it took to change.

The change in elevation is -19.5 centimeters (we use a negative sign to indicate the decrease in elevation).

The time it took to change is 3 seconds.

Therefore, the rate of change in elevation is:

rate of change = change in elevation / time

rate of change = -19.5 cm / 3 sec

rate of change ≈ -6.5 cm/sec

So the rate of change in elevation is approximately -6.5 centimeters per second.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Answer:

4x^2-7x+3

Step-by-step explanation:

(4x-3)(x-1)

4x^2-4x-3x+3

4x^2-7x+3

Answer:

f(x)=xf(x)=x ,  g(x)=2xg(x)=2x

f(x)=5f(x)=5 ,  g(x)=xg(x)=x

Step-by-step explanation:

not sure but still,

Answer:

[tex]follow \: me \: please[/tex]

[tex]A sent telegram to b will you sell your car qoute lowest price B sent replay lowest price 50000 A sent second telegram ti B i agree to by car for 50000 B transfer refused to sell it there any contracy between A qnd B and can A Sue B for breach of contract give reason[/tex]

Step-by-step explanation:

A sent telegram to b will you sell your car qoute lowest price B sent replay lowest price 50000 A sent second telegram ti B i agree to by car for 50000 B transfer refused to sell it there any contracy between A qnd B and can A Sue B for breach of contract give reason

Answer:

Step-by-step explanation:

13%

Answer:

16.) The store bought 816 light bulbs

17.) The total savings of Mr. Wilson after he buys the tickets is $268

Answer:

oki so the answer for the other question is 9. 1,100 and 10. 2,920

Step-by-step explanation:

Answer:

y = 55x + 160

Step-by-step explanation:

The computation of the equation that represents the relationship between the total miles driven y and the number of hours x is shown below:

she starts at 160 miles so it would be y-intercept

So the equation form would be

"b" in y = mx + b

where,

m = 55

and b = 160

Therefore the equation would be

y = 55x + 160

The same is to be considered