Stuart's workout tracker shows he walked 6,000 steps today he walks 1/1/2 Times more tomorrow , so he

The length of a rectangle is 7 inches less than twice the width, w, of the rectangle.

Ivan

Answer:

Step-by-step explanation:

Let w represent the width of the rectangle.

The length of a rectangle is 7 inches less than twice the width, w, of the rectangle. It means that the length is (2w - 7) inches

Part A

The function that gives the area as a function of the width is

A(w) = w(2w - 7)

Part B:

If the area of the rectangle is 60 square inches, it means that

w(2w - 7) = 60

2w² - 7w = 60

2w² - 7w - 60 = 0

2w² + 8w - 15w - 60 = 0

2w(w + 4) - 15(w + 4) = 0

2w - 15 = 0 or w + 4 = 0

w = 15/2 or w = - 4

Since w cannot be negative, then

w = 15/2 = 7.5 inches

4 0

3 years ago

Study the following data set.

Vera_Pavlovna [14]

Answer:

8

Step-by-step explanation:

The question is on interquartile range which is the median of the upper half of the data minus the median of the lower half of data

First arrange the data in an increasing order;

8,15,9,18,9,17,22,10,11,9,13

8,9,9,9,10,11,13,15,17,18,22

Find the median, which is the center value in the data set

8,9,9,9,10,11,13,15,17,18,22⇒the median is 11

Place brackets around the numbers above and below the median

(8,9,9,9,10)11 (13,15,17,18,22)

Find the median in the lower half of the data,Q1

(8,9,9,9,10) ⇒median is 9=Q1

Find the median in the upper half of the data,Q3

(13,15,17,18,22)⇒median is 17=Q3

Subtract Q1 from Q3 to get the interquartile range

Q3=17, and Q1=9

Q3-Q1=17-9=8

6 0

3 years ago

the Wright flyer was the first successful powered aircraft a model was made to display in a museum with the length of 35 cm and

Savatey [412]

To compare the displayed Wright flyer in the museum with the actual plane, we have to compute for the ratio of the corresponding parameter. In this item, for both the display and the actual plane, we are given with the length. Computing for the ratio gives us,
ratio = length of the model / length of the actual plane

Length of the model = 35 cm
We need to calculate for the length of the model in ft.
length of the model = (35 cm)(1 in/2.54 cm)(1 ft/12 in)
length of the model = 1.148 ft

Going back to the equation for the ratio,
ratio = (1.148 ft)/21 ft
ratio = 0.055

Hence, the dimensions used in the model is equal to 0.055 times the actual dimensions.

Error may occur because of the number of significant figures considered for rounding up or down of the answers after each calculation.

6 0

3 years ago

The steps for inscribing a circle in a triangle are shown:Step 1Construct the perpendicular bisector of one angle of the triangl

nevsk [136]

Solution

- The correct steps for drawing a circle in a triangle are given below:

1. Bisect one of the angles

2. Bisect another angle

3. Where they cross is the center of the inscribed circle, called the incenter

4. Construct a perpendicular from the center point to one side of the triangle

5. Place compass on the center point, adjust its length to where the perpendicular crosses the triangle, and draw your inscribed circle!

- Based on these steps above and comparing them with the steps given in the question, every step given in the question is correct except Step 1.

- Step 1 given in the question, says we should construct a perpendicular bisector of one angle in the triangle. This is not correct because of the use of perpendicular bisector. This is only used for bisecting lines, not angles.

Final Answer

The answer is Step 1

6 0

1 year ago

What is the solution to the following equation?

luda_lava [24]

Answer:

D.2

Step-by-step explanation:

8 0

3 years ago

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