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Rama09 [41]
3 years ago
14

A rectangle has an area of 40 square units. The length is 6 units greater than the width.

Mathematics
2 answers:
morpeh [17]3 years ago
5 0

Sorry got it mixed up- 4 is width length is 10

stiks02 [169]3 years ago
3 0

Answer:

Answer:

The width is 4 units, and the length is 10 units.

Step-by-step.

Step-by-step explanation:

area of rectangle = length * width

Let L = length; let W = width.

"The length is 6 units greater than the width.": L = W + 6

area = LW = 40

Since L = W + 6, we substitute L with W + 6.

(W + 6)W = 40

W^2 + 6W = 40

W^2 + 6W - 40 = 0

(W - 4)(W + 10) = 0

W - 4 = 0 or W + 10 = 0

W = 4 or W = -10

A width cannot be a negative number, so we discard the solution W = -10.

W = 4

L = W + 6 = 4 + 6 = 10

The width is 4 units, and the length is 10 units.

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Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 33 minutes and a standard
lilavasa [31]

Answer:

Method A.

Step-by-step explanation:

For solving this question we need to find out the z-scores for both methods,

Since, the z-score formula is,

z=\frac{x-\mu}{\sigma}

Where, \mu is mean,

\sigma is standard deviation,

Given,

For method A,

\mu = 33

\sigma=8

Thus, the z score for 34 is,

z_1=\frac{34-33}{8}=0.125

While, for method B,

\mu = 37

\sigma = 4

Thus, the z score for 34 is,

z_2=\frac{34-37}{4}=-0.75,

Since, z_1 > z_2

Hence, method A is preferred if the procedure must be completed within 34 minutes.

8 0
4 years ago
What is the equation of the line in y=mx+b format? BRAINLIST WILL BE REWARDED
harkovskaia [24]

Answer:

y = 2/5x - 1

Step-by-step explanation:

There are a couple of different ways to figure this out, but since you have a graph, the fastest way is to count the slope, or m in the formula, by counting the rise (units up) over run (units to the right), which is 2/5. Then, find the value of b by finding the y-intercept on the graph, or -1.

3 0
3 years ago
Simplify the algebraic expression. -2(x - 5) + 4(9 + x)
AnnZ [28]

Answer:

2x+46

Step-by-step explanation:

-2(x-5)+4(9+x), Multiply

-2x+10+36+4x, Combine like terms

Simplified= 2x+46

5 0
3 years ago
Ja'kniya and Alayjah are shopping at the Apple Store. Ja'kniya bought 4 screensavers and 3 Otterboxes for $29. Alayjah bought 6
Katarina [22]

Answer:  Each screensaver costs $2 and each Otterbox costs $7.

Step-by-step explanation:

Let x = Cost of each screensaver and y = cost of each Otterbox.

As per given, 4x+3y=29       (i)

6x +2y = 26  (ii)

Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get

9x+3y=39    (iii)

Eliminate (i) from (iii) , we get

5x = 10

⇒ x = 2  [Divide both sides by 5]

Put value of x in (i), we get

4(2)+3y=29

⇒ 8+3y= 29

⇒ 3y= 21

⇒ y =7 [Divide both sides by 7]

Hence, Each screensaver costs $2 and each Otterbox costs $7.

7 0
3 years ago
PLEASE HELP!
erica [24]

The correct next step that Cynthia should do is to:

D. use the arc markings to determine the radius to construct the circle

<span>The arc markings are actually used as the baseline in determining the center and the radius of the circle. The arc markings are created with the use of a compass. All other choices are completely irrelevant because what we need is the arc and not the angles. The angles do not create the circle. Letter C is also wrong because what we are trying to form is the circle and not the triangle. The triangle is already created.</span>

4 0
3 years ago
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