The length of a rectangular mural is 2ft. more than three times the width the area is 165 sq. ft. Find the Width And Length

Answers

Answer 1

Answer: We know that the formula for the area of a rectangle is:

$A=lw$

We know that the area is 165. Now we need to solve for the dimensions.

Let the width of the rectangle be " $x$ "

Then the length of the rectangle is $3x+2$

Substitute.

$(3x+2)(x)=156$

Multiply the terms.

$3x^2+2x=156$

Bring the 156 over.

$3x^2+2x-156=0$

We have to use the quadratic formula to solve this now. Let us restate it:

$x= (-b± √(b^2-4ac) )/(2a)$

Now I'm going to fast forward this because all the rest is boring stuff and substitution. The answer is:

$( √(469)-1 )/(3)$

Since we cannot have a negative answer, we must cancel out the other answer, which I did not include.

Hope this helped! :)

~Cam943, Junior Moderator

Answer 2

Answer: l×b=area
l=2+3b
2+3b ×b=165
3b²=163
b²=54.3
b=√54.3
b=7.37 or 7.4=7
b=7ft
l=2+3(7.4)
l=2+ 22.2
l=24.2=24
l=24ft

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If a rectangle with a perimeter of 48 inches is equal in area to a right triangle with legsof 12 inches and 24 inches, what is the rectangle’s diagonal?

Answers

well first 12*24/2 is 144. then , using trial and error, the answer is each side is 12

then, using pythag 144+144 =288
ans square rooted gives answer , around 16.3

the answer would be 144. yw hope that helped :)

An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call?

Answers

When the charge for 3 hours is $94 on Monday and $130 for 5- hour service on Tuesday would charge for 2-hour call service is $76.

Electricians charge a fixed rate + an hourly rate. The charges are a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday.

How to solve the linear equation?

A linear equation is a one-degree equation. The equation includes the variable of the highest power one. The standard form of an equation is Ax + B = 0, where x is the variable, A is the coefficient and B is a constant.

To solve the linear equation we need to find the unknown variable which satisfied the given linear equation.

Electricians charge a fixed rate + an hourly rate

If he charges, $94 for a 3-hour call on Monday and $130 for a 5-hour call on Tuesday then charging for 2 extra hours is the difference between the two amounts.

130 - 94 = $36

for an hourly rate, it will be $18

For the fixed traveling charge, we will subtract the 3-hour rate from a fixed rate of $94 - 3 × $18 = $40

So, for x hour call the equation will be, 40 + 18x

for 2 hour service, the charges would be 40 + 18 × 2 = $76

Therefore, when the charge for 3 hours is $94 on Monday and $130 for 5- hour service on Tuesday would charge for 2-hour call service is $76.

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First you need to find what the hourly rate is and what the flat rate is. The hourly rate is $18 and the flat rate is $40. Then you add $40+ (18x). Substitute 2 in for x for the hours and get $76.

0.000 007 as standard form

Answers

Answer:

$\sf 7.0 * 10^(-6)$

Step-by-step explanation:

Writing in standard form or scientific form:

0.000007

As we have to move the decimal point to right, the power of 10 will be negative and as the decimal point is moved 6 times to the right, the power of 10 is (-6).

0.000007 = 7.0 *10⁻⁶

Answer: 7.0 *10⁻⁶

HELP ASAP!!! BRAINLIEST!

Answers

its a b and c they all equal 45

Answer:

1 * 45

5 * 9

3 * 15

Hope this helps!

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Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 68 inches and the standard deviation is 4 inches, 99.7% of the population will have a height within which of the following ranges?A. 56 inches to 80 inches
B. 60 inches to 76 inches
C. 64 inches to 72 inches
D. 52 inches to 84 inches

Answers

If the mean height of the population is 68 inches and the standard deviation is 4 inches, 99.7% of the population will have a height within ranges of; 52 inches to 84 inches.

What do you mean by standard deviation?

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We know that at 99.7% the measurements would be within 2 standard deviations of the mean.

Mean of 68 inches

Standard Deviation of 4

The lower range = 68– 4(4)= 52 inches

The upper range = 68+ 4(4) = 84 inches

Thus, the option (D) 52 inches to 84 inches is correct after using the empirical Rule.

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Hello,
$\int\limits^h_0 {(1)/(2\pi) * e^{(-(x-68)^2)/(2)} dx}=0.4985$
==>h=3*4=12
[68-12, 68+12] is the interval

Answer A

Rewrite the set T by listing its elements. Make sure to use the appropriate set notation. T={[ z| z is an interger and -4≤z<0}

Answers

Based on the given above, the set T is composed of the integers that are between -4 and 0; with -4 being included. Rewriting this set by using the Roster Method gives us an answer of,
T = {-4, -3, -2, -1}

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