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4 years ago

The length of a rectangle is 4 less than twice the width. The area of the rectangle is 70

1 answer:

6 0

w = -5 ; w = 7

Area = Length * Width
Length = 2w - 4
Width = w

70 = (2w - 4)w
70 = 2w² - 4w
2w² - 4w - 70 = 0
2(w² - 2w - 35) = 0
2(w + 5) (w - 7) = 0
w + 5 = 0 ; w -7 = 0
w = -5 ; w = 7

w = -5 is not viable because no length of measurement is negative.

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The diagram shows two parallel lines and a traversal. If the measure of ∠2 is 47°, what is the measure of ∠3?

goldenfox [79]

Answer:

The answer is b.133

Step-by-step explanation:

180 is a straight line and if angle 2 is 47 then angle 3 would be 133 because 133+47=180

6 0

4 years ago

The lengths of a rectangle have been measured to the nearest tenth of a centimetre they are 87.3cm and 51.8cm what is the upper

vagabundo [1.1K]

Answer: Area (upper bound) = 4527.7056 cm²

Perimeter (lower bound) = 278 cm

Step-by-step explanation:

The length and width of the rectangle have been ROUNDED to the nearest tenth. Let's calculate what their actual measurements could be:

LENGTH: rounded to 87.3, actual is between 87.25 and 87.34

87.25 is the lowest number it could be that would round it UP to 87.3

87.34 is the highest number it could be that would round DOWN to 87.3

WIDTH: rounded to 51.8, actual is between 51.75 and 51.84

51.75 is the lowest number it could be that would round it UP to 51.8

51.84 is the highest number it could be that would round DOWN to 51.8

To find the Area of the upper bound, multiply the highest possible length and the highest possible width:

A = 87.34 × 51.84 = 4527.7056

To find the Perimeter of the lower bound, calculate the perimeter using the lowest possible length and the lowest possible width:

P = 2(87.25 + 51.75) = 278

8 0

4 years ago

Read 2 more answers

Find the indicated length. Line WX bisects YZ at point W. Find YZ if WZ=9 5/8

Montano1993 [528]

Given :

Line WX bisects YZ at point W.

$WZ=9\dfrac{5}{8}=\dfrac{77}{5}$ .

To Find :

The length of YZ .

Solution :

Since , the point W bisect YZ .

So , it cuts YZ into two equal parts i.e YW and WZ .

Therefore , YW = WZ

Also , YZ = YW+WZ = 2WZ

$YZ = 2\times \dfrac{77}{5}\\\\YZ=\dfrac{154}{5}\\\\YZ=30\dfrac{4}{5}$

Hence , this is the required solution .

8 0

3 years ago

A plumber charges $15 for transportation and $40 per hour for repairs complete the expression that can be used to find the cost

qwelly [4]

Answer:

y = 45x + 15

Step-by-step explanation:

7 0

3 years ago

What are the coordinates of the image of point K(1, 3) after a reflection over the line y = –1

ale4655 [162]

Answer:

1, -5

Step-by-step explanation:

you can this solve easily

3 - -1 = 4 units down from y = -1

x does not change in this reflection

4 0

2 years ago