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ASHA 777 [7]
3 years ago
11

A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the mo

del to the height of the actual statue in simplest form?
Mathematics
1 answer:
Gekata [30.6K]3 years ago
4 0

1. A model of a famous statue is 2\dfrac{1}{2} inches tall that is

\dfrac{2\cdot 2+1}{2}=\dfrac{5}{2} in.

2. The actual statue is 3\dfrac{1}{3} feet tall that is

\dfrac{3\cdot 3+1}{3}=\dfrac{10}{3}\ ft=\dfrac{10}{3}\cdot 12=40\ in.

3. The ratio of the height of the model to the height of the actual statue in simplest form is

\dfrac{\dfrac{5}{2}}{40}=\dfrac{5}{2}\cdot \dfrac{1}{40}=\dfrac{1}{16}.

Answer: \dfrac{1}{16}.

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Which box-and-whisker plot represents the data set?<br><br> 11, 6, 19, 14, 21, 7, 13, 15, 15
Katena32 [7]
The box and whisker plot is attached.

We first order the data from least to greatest:
6, 7, 11, 13, 14, 15, 15, 19, 21

The median is the middle value, or 14.
The lower quartile is the median of the lower half (split by the median).  This is between 7 and 11: (7+11)/2 = 18/2 = 9
The upper quartile is the median of the upper half (split by the median).  This is between 15 and 19:  (15+19)/2 = 34/2 = 17
The highest value is 21.
The lowest value is 6.

We draw the middle line of the box at 14, the median.  We draw the left side of the box at the lower quartile, 9.  We draw the right side of the box at the upper quartile, 17.  From the right side of the box, we draw a whisker to the highest value, 21. From the left side of the box, we draw a whisker to the lowest value, 6.

4 0
4 years ago
What is the mean median mode and range for 17 6 13 10 16 18 16 20 6 8
FromTheMoon [43]

Median: 14.5

Mode: 6,16

Mean: 13

6 0
3 years ago
Read 2 more answers
Jenni plots her house and yard on a computer. she determines that the circle that defines the part of the front yard that gets w
butalik [34]

The length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

<h3>What is the equation of the circle of radius r units, centered at (x,y) ?</h3>

If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:

(x-h)^2 + (y-k)^2 = r^2

For this case, the equation of the circle that models tha circular area considered is:

(x-9)^2 + (y+11)^2=16

Writing this in standard form and comparing it with the standard equation, we get:

(x-9)^2 + (y+11)^2=16\\(x-9)^2 + (y - (-11) )^2  = 4^2 (didn't took (-4)² = 16 since radius cannot be negative).

Thus, we get center's coordinate as (9,-11) and radius of 4

The diameter of that circular area = twice of radius of the circle which models it = 2 × 4 = 8 meters.

Thus, the length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

Learn more about equation of a circle here:

brainly.com/question/10165274

3 0
2 years ago
PLS help with the question in the picture!
slega [8]

Answers:

y = 50

angle AOB = 100

=========================================

Explanation:

Angle x is an inscribed angle that subtends or cuts off minor arc AB. This is the shortest distance from A to B along the circle's edge.

Angle y is also an inscribed angle that cuts off the same minor arc AB. Therefore, it is the same measure as angle x. We can drag point D anywhere you want, and angle y will still be an inscribed angle and still be the same measure as x.

-------------------

Point O is the center of the circle. This is because "circle O" is named by its center point.

Angle AOB is considered a central angle as its vertex point is the center of the circle.

Because AOB cuts off minor arc AB, and it's a central angle, it must be twice that of the inscribed angle that cuts off the same arc.

This is the inscribed angle theorem.

Using this theorem, we can say the following

central angle = 2*(inscribed angle)

angle AOB = 2*(angle x)

angle AOB = 2*50

angle AOB = 100 degrees

6 0
3 years ago
-5 x -6=?<br> -90<br> 90<br> -30<br> 30
Natali5045456 [20]

Answer:

30

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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