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PilotLPTM [1.2K]
3 years ago
11

How do I find the length and the width?

Mathematics
2 answers:
stiv31 [10]3 years ago
8 0
Online calculator to calculate the dimensions (length<span> and </span>width<span>) of a rectangle given the area A and perimeter P of the rectangle. Then these equations are solved for L and W which are the </span>length<span> and </span>width<span> of the rectangle. Enter the perimeter P and area A as positive real numbers and press "enter".</span>
Gnesinka [82]3 years ago
4 0
A = L * W
A = 91
L = W + 6

91 = W(W + 6)
91 = W^2 + 6W
W^2 + 6W - 91 = 0
(W - 7)(W + 13) = 0

W - 7 = 0
W = 7

W + 13 = 0
W = -13.......extraneous solution...this one does not work

so the width is 7 inches <====
L = W + 6
L = 7 + 6
L = 13...and the length is 13 inches <====

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In this activity, you will create an equation for a function represented by a verbal description.
alexira [117]

Answer:

1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

Step-by-step explanation: I just did the tutorial right now i hope this helps

6 0
3 years ago
A car travels the 120 miles from A to B at 60 miles per hour, and then returns to A on the same road. If the average rate of the
inessss [21]

Outbound Trip 120 miles 60 mph equals 2 hours

Return Trip 120 miles

Total Trip 240 miles at 45 mph average speed

Total time = distance / rate = 240 / 45 = 5.3333333333 Hours

The return trip of 120 miles takes (5.3333333333 Hours MINUS 2 hours)

Return Trip Speed = 120 / 3.333333333 = 36 miles per hour


5 0
3 years ago
Find sin 2a and cot 2a:
geniusboy [140]

Answer:

sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}

Step-by-step explanation:

\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\

sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}

8 0
3 years ago
A consumer group is interested in estimating the proportion of packages of ground beef sold at a particular store that have an a
storchak [24]

Answer:  267.

Step-by-step explanation:

When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :

n=0.25(\dfrac{z^*}{E})^2 , where z* = Critical z-value and E + amrgin of error.

Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.

Since , we have no prior information about p. so we use above formula

with E = 0.06 and critical value for 95% confidence =z* =1.96  [By z-table ] , we get

n=0.25(\dfrac{1.96}{0.06})^2=0.25(32.6666)^2\\\\=(0.25)(1067.111111)\\\\=266.777777778\approx267

Hence, the required sample size is 267.

7 0
3 years ago
Can someoe help? <br> 7x-24=6x-2
just olya [345]

Answer:

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6 0
2 years ago
Read 2 more answers
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