There's 2 questions here that need to be answered.


Find the value of each variable.

Answer:

telephone pole height = 480ft

Step-by-step explanation:

Assume that the shadow that an object casts is proportional to the height of the object. Then one can form the ratio:

[tex](shadow : height)[/tex]

Making the assumption that this ratio is proportional for all objects in this given scenario, then one can say that the ratio of the height of the man and his shadow is equal to the ratio of the height of the telephone pole and its shadow:

(man's height) : (man's shadow) = (pole's height) : ( pole's shadow)

Substitute:

6ft : 4ft 6in = (telephone pole hiehgt) : 30ft

Convert to inches (since it is all in the same unit now, one's doesn't need to write the unit anymore):

72 : 54 = (telephone pole height) : 360

Simplify:

4 : 3 = (telephone pole height) : 360

Now solve, use cross products:

3(telephone pole height) = 1440

Inverse operations,

3(telephone pole height) = 1440

/3                                          /3

telephone pole height = 480

Answer:

(x, y) ⇒ (x - 5, y - 3)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).

Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:

(x, y) ⇒ (x - 5, y - 3)

Answer:

So say she has 20 pieces of candy if her sibilings are young the she take ten and split the 10 into two 5

Step-by-step explanation:

Answer:

73.8 g

Step-by-step explanation:

57.4/7 = 8.2 per cake

8.2 x 9 = 73.8 g

Answer:

I'm pretty sure the answer would be 73.8g

Step-by-step explanation:

Answer:

Step-by-step explanation:

Note that x^2 - 6x + 9 = 0 can be rewritten as the square of a binomial:

(x - 3)^2

and the roots are found by setting this equal to zero and solving for x:

(x - 3)^2 = 0, or x - 3 = ±0, or x = 3 and x = 3

a) there are two equal roots:  {3, 3}

b) the roots {3, 3} are rational

c) the roots {3, 3) are real

If you want to use the quadratic formula, proceed as follows:

1.  Identify the coefficients of the quadratic:  {1, -6, 9}

2. Find the discriminant b^2 - 4ac:  It is (-6)^2 - 4(1)(9) = 36 = 36 = 0

   As a general rule, if the discriminant is zero, the quadratic has two equal, real roots.  These roots are rational:  3 can be rewritten as 3/1, which is a ratio.

Answer:

He is incorrect

Step-by-step explanation:

Although he can solve it, he would use Division Property or Equality not multiplication

hope this helps ;)

Answer:

area of parallelogram = 21

area of trapezoid = 32

Step-by-step explanation:

Hello There!

The first figure shown is a parallelogram and the following dimensions are given

base = 7mm

height = 3mm

The area of a parallelogram can simply be found by multiplying the base by the height

so Area = 7 * 3

7 * 3 =21 so the area of the parallelogram is 21 square millimeters

The second figure given is a trapezoid and the following dimensions are given

height = 4m

base 1 = 5m

base 2 = 11m

To find the area of a trapezoid we use this formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b are bases and h = height

given the dimensions all we have to do is plug in the values into the formula

[tex]A=\frac{5+11}{2} 4\\5+11=16\\\frac{16}{2} =8\\8*4=32\\A=32[/tex]

so we can conclude that the area of the trapezoid is 32 square meters

Answer:

Step-by-step explanation:

C)7:8 not sure

Answer:

12000 I think so. I might be wrong

Answer:

$52000

Step-by-step explanation:

10,400 × 5 = 52000

Answer:

7:3:5

Peter:Mary:Sam

Answer:

Area

Step-by-step explanation:

Answer: 12500 gallons

Step-by-step explanation:

Number of mobile homes in a trailer park = 50

Gallons of water used by each mobile home = 250 gallons

The amount of water used by the trailer park uses in one day will be:

= Number of mobile homes in the trailer park × Gallons of water used by each mobile home

= 50 × 250

= 12500 gallons

Answer:

$19200

Step-by-step explanation:

20,000*0.96=19200

Answer:

1922.7 cubic inches

Step-by-step explanation:

The volume of a cylinder can be found with this formula:

V=πr^2h

The radius, r, is half the diameter.

So, 12/2=6

r=6 inches

Then, just plug the numbers in.

V=π(6)^2(17)

V=1922.65

Rounding to the nearest tenth:

V=1922.7 cubic inches

The volume of the cylinder with a radius of 6 inches and height of 17 inches is 1922.65 cubic inches.

Base diameter of the cylinder = 12 inches

So, the base radius of the cylinder =12/2 =6 inches.

Height of the cylinder = 17 inches

The volume of a cylinder is given by [tex]\pi r^{2} h[/tex] where r is the radius and h is the height.

So, the volume of the cylinder with a radius of 6 inches and height of 17 inches = [tex]\pi 6^{2} (17)[/tex]

The volume of the cylinder with a radius of 6 inches and height of 17 inches=1922.65 cubic inches.

Thus, the volume of the cylinder with a radius of 6 inches and height of 17 inches is 1922.65 cubic inches.

To get more about cylinders visit:

https://brainly.com/question/9554871

-7t+3>-46

Subtract 3 on both sides to cancel it out.

-7t+3>-46

    -3  -3

-7t>-49

Now divide -7 on both sides.

-7t>-49

/-7  /-7

t>7

This means the answer, or t, can be anything above 7.

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hope it helps

[tex]-7t+3>-46[/tex]

      [tex]-3[/tex]      [tex]-3[/tex]   

___________   solve -46 - 3, which is -49.

[tex]-7t>-49[/tex]      

___    ___          divide -7 on both sides, -7s should cancel out on the left.

[tex]-7[/tex]      [tex]-7[/tex]

[tex]t>7[/tex], is the final answer

Answer:

13 degrees warmer

Step-by-step explanation:

Answer:

13 degrees Fahrenheit.

Step-by-step explanation:

The temperature started at -1 then raises to 12.

So, it goes -1,0,1,2,3,4,5,6,7,8,9,10,11,12, so it increases by 13 degrees Fahrenheit.

Answer:

(6, 2 )

Step-by-step explanation:

Given the 2 equations

y = [tex]\frac{2}{3}[/tex] x - 2 → (1)

y = 2 → (2)

Substitute y = [tex]\frac{2}{3}[/tex] x - 2 into (2)

[tex]\frac{2}{3}[/tex] x - 2 = 2 ( add 2 to both sides )

[tex]\frac{2}{3}[/tex] x = 4 ( multiply both sides by 3 )

2x = 12 ( divide both sides by 2 )

x = 6

The solution is (6, 2 )

Answer:

10/18

Step-by-step explanation:

11/18 - 10/18 = 1/18

Answer:

Its 40.9!

Step-by-step explanation:

The opposite sides of angles are most of the time congruent, or the same!

Hope this helps and don't forget to follow!

Answer: y( 1 - 7y2 + 15y7)

Step-by-step explanation:Just put () around the 1 threw 15 and put the y out  of the ()

Answer:

C.

15y8 – 7y3 + y; eighth degree trinomial

Step-by-step explanation:

To write the polynomial in standard from, the degrees of the monomials need to decrease from left to right. Reorder the monomials to get 15y8 – 7y3 + y.

The polynomial has three terms, which makes it a trinomial. The monomial with the greatest exponent is 15y8, an eighth degree term. This makes the expression an eighth degree trinomial.

Answer:

10,000,000,:6

Step-by-step explanation:

I think

Answer:

10^7:6

Step-by-step explanation:

[tex]10000000 = {10}^{7} [/tex]

Answer:

She goes from 4 to -4 west which is 8 blocks west

Then she goes south from +2 to -2 on the y axis which is 4 blocks south

Answer:

its the 3rd one

Step-by-step explanation:

because x=4 and y=28 so 4 times 7 =28

Answer:

$220,000 I am pretty sure this is correct!

Answer:

Step-by-step explanation:

RQP is exterior angle of ΔMQR ⇒

QR = RP ⇒

∠QRN is exterior angle of ΔQRP ⇒

∠MRN = ∠NMR = 3x ⇒

NR = MQ ⇒

We now have a straight angle MQP:

Correct choice is C