a statue casts a 40 foot shadow. Mrs. Swift, who is 5 feet 6 inches tall, casts a 4 foot shadow. how tall is the statue?

Answer:

y=4/5x+6

Step-by-step explanation:

Answer:

535572

Step-by-step explanation:

Np just for a friend

Answer:

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Step-by-step explanation:

According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:

[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:

[tex]x_{B} = 1.25\cdot (14)[/tex]

[tex]x_{B} = 17.5[/tex]

[tex]y_{B} = 0.75\cdot (21)[/tex]

[tex]y_{B} = 15.75[/tex]

From (2):

[tex]m = \frac{15.75-21}{17.5-14}[/tex]

[tex]m = -\frac{3}{2}[/tex]

By (1):

[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Answer:

Choose... Coupon 2

Coupon 2 is a better deal becausse Coupon 1 would result in a total cost of $25.2

Coupon 2 would result in a total cost of $6.5

Choose Coupon 2

Step-by-step explanation:

Coupon 1: 18+(18x0.4) =

Coupon 2: 18+18=26 26x0.25=6.5

Answer:

Coupon 2

Step-by-step explanation:

Answer:x= 49°

Step-by-step explanation:

Step-by-step explanation:

The formula for calculating a circle's circumference is πd, where π is an irrational number (3.14....) and d is the diameter of the circle.

In the circle with diameter 19.5cm, the circumference is around 3.14 * 19.5cm = 61.23cm. (A)

Answer:

61.2

Step-by-step explanation:

circumference= 2πR

r=d/2

r= 19.5/2

r=9.75

circumference= 2×3.14×9.75

circumference= 61.2

Answer:

a

Step-by-step explanation:

Answer:

C≈87.96

r Radius 14

Answer:

yes it is ok

Step-by-step explanation:

40 ok equate

Answer:

The first one $1.42

Step-by-step explanation:

1.42x5=7.1 (cost of all envelopes)

12-7.1=4.9

4.9/14=0.35 (one postcard)

10 postcards= 3.5

1.42x15=21.3 (cost of all envelopes)

3.5+21.3=$24.80

Answer:

6/5

Step-by-step explanation:

4/5 x 3/2 = 12/10 = 6/5

Answer:

8+3x=20

4 hours

Step-by-step explanation:

8+3x=20

3x=12

x=4

Answer:

-6 > -x

Step-by-step explanation:

2 < -x/3

Multiply both sides by -3. Flip the sign because we are multiplying by a negative.

Solution:

-6 > -x

Answer:

a- $37.50

b- $39.75

Step-by-step explanation:

Hope this helped!

Answer:

a) 37.5

b) 39.75

Step-by-step explanation:

a) 50 (price of jeans) x 0.75 (amount after redution sale 100% - 25%) = 37.5

b) 37.5 (price of jeans after sale) x 1.06 (total price x 6%) = 39.75

Answer:

m=−5/8

Step-by-step explanation:

Answer:i i think Brenda 10

Step-by-step explanation:

Age problems are the algebra word problem which deals with the ages of people in the present time.

Given information-

Abigail is 5 years older than Brenda.

Brenda is twice as old as Carly.

The total of their ages is less than 40.

Age problems are the algebra word problem which deals with the ages of people in the present time.

Suppose Abigail is A, Brenda is B and Carly is C years old.

As Abigail is 5 years older than Brenda. Thus,

[tex] A=B+5[/tex]                .... 1

As Brenda is twice as old as Carly. Thus,

[tex]C=\dfrac{B}{2} [/tex]                    ..... 2

As the total of their ages is less than 40.

[tex]A+B+C=40[/tex]

Keep the values of A and C from the equation 1 and 2 in the above equation,

[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]

Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,

[tex]A=14+5\\ A=19[/tex]

Thus the Abigail is 19 year old.

Learn more about the age related problem here;

https://brainly.com/question/91727

Answer: =2x^4−6x^3+10x^2−16x

Step-by-step explanation:

Answer:

-123

Step-by-step explanation:

Given that k=14 and d=5 we can substitute d and k for their actual values. -5(5)-7(14).

-5*5=-25.

-7*14=-98.

-25-98=-123.

You can use this method to solve other problems in the future hope you find this helpful. : )

Answer:

2×2+x+1=0

4+x+1=0

5+x=0

x=-5

Answer: seven hundred thirty-five thousand, nine

Step-by-step explanation:

If i remember that should be the answer hope it helps

Answer:

Jana=10, twins=8, yuvi=6

Step-by-step explanation:

it's the only possible answer,as we know yuvi is older than 5 so let's just say she is 6 then the twins are 2 years older=8 and we know that and is less then 11 so that would be 10

Answer: 1/27 is greater than 1 7/20 I believe.

Answer: 18 miles per hour

Step-by-step explanation: The equation shows the slope as 18. This means that the unit rate per hour (t = number of hours) is 18/1.

Answer:

3

Step-by-step explanation:

Answer:

as long as the equation has no exponents or square roots it is linear

Step-by-step explanation:

Step-by-step explanation:

1)

[tex] \frac{ y_{2} - y_{1}}{x_1 - x_2} [/tex]

[tex] \frac{ - 15 - ( - 16)}{ - 7 - ( + 19)} [/tex]

[tex] \frac{ - 15 + 16}{ - 7 - 16} [/tex]

[tex] \frac{ + 1}{ - 23} [/tex]

[tex] - \frac{1}{23} [/tex]

2)

[tex] \frac{ - 4 - 7}{ - 6 - ( - 4)} [/tex]

[tex] \frac{ - 11}{ - 2} [/tex]

[tex] + \frac{11}{2} [/tex]

3)

[tex] \frac{16 - 8}{9 - 20}[/tex]

[tex] \frac{6}{ - 11} [/tex]

[tex] - \frac{6}{11} [/tex]

Answer:

x - intercept: 4

y - intercept: 2

Step-by-step explanation:

The way you find the x-intereceppt is to pretend that the 12y isnt there. Therfore making the equation 6x=24. Then 24 divided by 6 equals 4.

The same thing but for the y-intercpt. Take away the 6x making the equation 12y=24. 24 divivded by 12 equals 2.

Answer:

x=2

2 games.

Step-by-step explanation:

3 + 4.50x = A

6 + 3x = A

3 + 4.5(2) = 12

6 + 3(2) = 12

Answer:

5.75 , 5.76, 5.73

Step-by-step explanation:

Hope this helps!