An architect built a scale model of a museum using a scale in which 3 inches represents

60 feet. The height of the museum is 270 feet.

What is the height of the scale model in inches?

A 13. 5 in.

B 9. 5 in.

C 27 in.

D 18 in.


please help its hard for me!!!

its 150 x 13 or atleast the closest estimate so its either 150 x 13 or 14

Step-by-step explanation:

multipliy by 150 x 13 or 14

The maximum height of the football is 15.21 yards.

The maximum height is the vertex of the parabola, when the parabola faces down.

Given

The path of a football kicked by a field goal kicker can be modeled by the equation y = -0.04x^2 + 1.56x.

Where x is the horizontal distance in yards and y is the corresponding height in yards.

The x- coordinate of the vertex is given by;

[tex]\rm x=\dfrac{-b}{2a}[/tex]

The value of b is 1.56, and a is -0.04.

Substitute all the values in the equation

[tex]\rm x=\dfrac{-b}{2a}\\\\x=\dfrac{-1.56}{-0.08}\\\\x=19.5[/tex]

Substitute the value of x in the given equation

[tex]\rm y = -0.04x^2 + 1.56x\\\\ y = -0.04(19.5)^2+1.56(19.5)\\\\y = - 15.21 + 30.42 \\\\ y=15.21 \ yd[/tex]

Hence, the maximum height of the football is 15.21 yards.

To know more about maximum height click the link given below.

https://brainly.com/question/8405809

Step-by-step explanation:

Player A persentage of success =(320/400)*100=80%

Player B persentage of success =(300/350)*100=85. 741

A ratio =8/10

B ratio =8.5741/10

Player b is the better player

Answer:

options 4 and 6 I believe

Answer:

(10.5,14) and (15,3.5)

Step-by-step explanation:

Answer:

1.  (3/2)

2. (20)

3. (3)

4. (-9/5)

5. (-8/7)

6. (-2/3), (4)

Step-by-step explanation:

1.                          2.                        3.                          4.

x         3                   12         3               x           1                x + 3        3

/    =    /                     /     =    /                /    =      /                   /     =     /

4         8                   x           5              9           x                   2           5

8x = 12                    60 = 3x                  x² = 9                      5x + 15 = 6

÷8    ÷8                   ÷3    ÷3                   x = √9                          -15     -15

                                                                                                5x = -9

x = (3/2)                   x = 20                  x = 3                           ÷5    ÷5

                                                                                                  x = (-9/5)

5.                             6.

4 - x          3                   1               x - 3

  /       =     /                   /        =        /

 12            7              2x + 1               9

28 - 7x = 36                   9 = 2x^2 - 5x - 3

-28         -28                 + 3                    + 3

                                     12 = 2x^2 - 5x

-7x = 8                          -12                   -12

÷-7   ÷-7

                                       2x^2 - 5x - 12 = 0

x = (-8/7)                      

                                       -b +-√b^2 - 4ac

                                                     /                = -(-5)√-5^2 - 4 (2)(-12)

                                                    2a                                /

                                                                                      2(2)

                                          = 5-+√121        5 - 11        -6

                                                 /         =        /       =    /       = (-2/3)

                                                -4                 4             4

                                                            =     5 + 11          16

                                                                       /      =       /    = (4)

                                                                      4              4

I hope this helps!

Answer:

  x = ±1

Step-by-step explanation:

We have to assume you want the solution for y = 0:

  0 = x² -1

  1 = x² . . . . . . add 1

  ±1 = x . . . . . . take the square root

  x = ±1

Answer:

Step-by-step explanation:

Answer:

m = 5

Step-by-step explanation:

[tex] \frac{10}{m - 5} = \frac{8}{m - 5} \\ \\ 10(m - 5) = 8(m - 5) \\ \\ 10m - 50 = 8m - 40 \\ \\ 10m - 8m = 50 - 40 \\ \\ 2m = 10 \\ \\ m = \frac{10}{2} \\ \\ m = 5[/tex]

Answer:

m = 5

Step-by-step explanation:

Cross product to get: 10(m-5) = 8(m-5)

Solve for m:

10m-50 = 8m-40

10m - 8m = -40 + 50

2m = 10

m = 10/2

m = 5

Answer:

a

Step-by-step explanation:

arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × [tex]\frac{110}{360}[/tex]

     = 2π × 4 × [tex]\frac{11}{36}[/tex] ( cancel 4 and 36 by 4 )

     = 2π × [tex]\frac{11}{9}[/tex]

     = [tex]\frac{22}{9}[/tex] π inches

Answer:

51.63 m²

Step-by-step explanation:

[tex]\textsf{Area of a semicircle} =\dfrac12\pi r^2[/tex]

Given:

[tex]\implies \textsf{area}=\dfrac12 \times 3.14 \times 3^2=14.13[/tex]

[tex]\textsf{Area of a triangle} =\dfrac12 \times \textsf{base} \times \textsf{height}[/tex]

Given:

[tex]\implies \textsf{area}=\dfrac12 \times 3 \times 5=7.5[/tex]

[tex]\textsf{Area of a rectangle} =\textsf{width} \times \textsf{length}[/tex]

Given:

[tex]\implies \textsf{area}=5 \times 6=30[/tex]

Total area = area of semicircle + area of triangle + area of rectangle

                 = 14.13 + 7.5 + 30

                  = 51.63 m²

Solution:

Step-1: Find the area of the triangle.

[tex]\text{Area of triangle} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\text{Area of triangle} = \dfrac{1}{2} \times 3 \times 5[/tex]

[tex]\text{Area of triangle} = 3 \times 2.5[/tex]

[tex]\text{Area of triangle} = 7.5 \ \text{m}^{2}[/tex]

Step-2: Find the area of the rectangle.

[tex]\text{Area of rectangle} = \text{LB}[/tex]

[tex]\text{Area of rectangle} = (6)(5)[/tex]

[tex]\text{Area of rectangle} = 30 \ \text{m}^{2}[/tex]

Step-3: Find the radius of the semi-circle.

[tex]\text{Diameter = 2(Radius)}[/tex]

[tex]6 \ \text{m = 2(Radius)}[/tex]

[tex]\dfrac{6}{2} \ \text{m} = \dfrac{2\text{(Radius)}}{2}[/tex]

[tex]3 \ \text{m} = \text{Radius}[/tex]

Step-4: Find the area of the semi-circle.

[tex]\text{Area of semi-circle} = \dfrac{\pi r^{2} }{2}[/tex]

[tex]\text{Area of semi-circle} = \dfrac{(3.14)( 3^{2} )}{2}[/tex]

[tex]\text{Area of semi-circle} = \dfrac{(3.14)(9 )}{2}[/tex]

[tex]\text{Area of semi-circle} = (3.14)(4.5 )[/tex]

[tex]\text{Area of semi-circle} = 14.13 \ \text{m}^{2}[/tex]

Step-5: Find the area of the figure.

[tex]\text{Area of figure = Area of triangle + Area of rectangle + Area of semicircle}[/tex]

[tex]\text{Area of figure = 7.5 + 30 + 14.13}[/tex]

[tex]\boxed{\text{Area of figure = 51.63 m}^{2}}[/tex]

Answer:

good luck

Step-by-step explanation:

I do not remember

The percentage of the total finance charge will the service charge is 15.65%. Then the correct option is D.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Sam is paying off his eight-year, $15,360 loan in semiannual installments.

The loan has an interest rate of 9.58%, compounded semiannually, and a service charge of $1,294.64. Once the loan has been fully paid off.

A = $15360

r = 0.0958/2 = 0.0479

n = 8 × 2 = 16

The periodic payment is given as

[tex]\rm A = P (\dfrac{1-(1+r)^{-n}}{r})[/tex]

Where P is Periodic payment

r = rate per period

n = number of period

Then we have

[tex]\rm 15360 = P(\dfrac{1-(1+0.0479)^{-16}}{0.0479})\\\\\\ P = 1396.16[/tex]

Then Sam will pay a total of 1396.16 × 16 = $22,338.56

Interest charge = 22338.56 – 15360 = $6978.56

Total finance charge = 6978.56 + 1294.64 = $8273.20

Then the percentage of the total finance charge will the service charge will be

[tex]\rm Percentage = \dfrac{1294.64}{8273.20}*100\\\\Percentage = 15.65 \%[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

 Answer: the answer to this question is 49

Step-by-step explanation:  because (a+b)2 = a2 + 2ab +b2 = Perfect square trinomial

Answer:

YOU HAVE TO GRAPH (3,0) TO GET THE ANSWER

Step-by-step explanation:

Answer: Parallelogram Opposite Sides Converse

Step-by-step explanation:

There are 2 pairs of opposite congruent sides.

Answer:

Stratified

Step-by-step explanation:

Answer:

true false false true true

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

14%= 18

1%= [tex]\frac{18}{14}[/tex]

7%= [tex]\frac{18}{14}[/tex] x 7

    = [tex]\frac{18}{2}[/tex]

    = 9

Answer:

90 In

Step-by-step explanation:

12 x 7 = 84

12 x 1/2 = 6

84 + 6 = 90

Answer:

d.

[tex]3 {c}^{2} + 8c = 3200[/tex]

The probability that the result is green - tail is 1/6.

Spinner has three colors that are  red, green and yellow and coin has two sides that are  head or tail.

Divide the number of events by the number of possible outcomes

The sample space is,[tex]{(red - head; red - tail; green - head; green - tail; yellow - head; yellow - tail)}[/tex]In total there are 6 ways to combine different colors with coin sides.

Therefore ,the probability that the result is green - tail is 1/6.

To learn more about the probability visit:

https://brainly.com/question/25870256

Answer:

1/6

Step-by-step explanation:

5 is 9 away from 14

so 2/3rds of the way would be 6 away from 5

so that'd be 11

Answer: C 30X

Step-by-step explanation:

Answer

NO

step by step explanation:

The definition of outlier is observational data that appears with extreme values, either univariate or multivariate. What is meant by extreme values in observations are values that are far or completely different from most of the other values in the group

I hope this helps

Answer:

Multiply vector c by the scalar -1/2.

Step-by-step explanation:

Look at vector c.

It has an x component of 4 and a y component of 4.

You can write vector c as a sum of its components using unit vectors in the x direction (i) and in the y direction (j).

c = 4i + 4j

Now look at vector d, and write it also as a sum of its x and y components.

d = -2i - 2j

Now ask yourself, what operation do I do to 4 to end up with -2?

One answer is to multiply 4 by -1/2.

d = (-1/2)c = (-1/2)(4i) + (-1/2)(4j) = -2i - 2j

That worked. By multiplying vector c by the scalar -1/2, you end up with vector d.

Answer:

x = y = 102.5°

Step-by-step explanation:

x and y are congruent.

the sum of the 4 angles in a kite = 360°

subtract the 2 given angles from 360°

360° - 95° - 60° = 360° - 155° = 205° , then

x = y = 205° ÷ 2 = 102.5°

Answer:

a) 80 ml

b) 450 cm³

Step-by-step explanation:

A) solution

1 cm³ = 1 ml

80 cm³ = 80 ml

B) solution

1 ml = 1 cm³

450 ml = 450 cm³