The area of a rectangular sign is 36 square meters. If the length of the sign is one meter more than twice the width, then what is the width of the sign?

Answers

Answer 1

Answer: $l-length\nw-width\n\n2w=l-1\ \ \ \ \ /:2\n\nw=(l-1)/(2)\n\nArea:A=w* l;\ A=36\ m^2\n\nw* l=36\n\nput\ w=(l-1)/(2)\ into\ an\ equation\ w* l=36:\n\n(l-1)/(2)* l=36\ \ \ \ \ \ /*2$

$(l-1)* l=72\n\nl^2-l-72=0\n\nl^2-9l+8l-72=0\n\nl(l-9)+8(l-9)=0\n\n(l-9)(l+8)=0\iff l-9=0\ or\ l+8=0\n\nl=9\ or\ l=-8 < 0\n\nl=9\ m\ then\ w=(9-1)/(2)=(8)/(2)=4\ (m)\n\nAnswer:The\ width\ of\ the\ sign\ equal\ 4m.$

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What is the relative error of a distance given as 550cm plus or minus 24.2cm?

Answers

24.2 / 550 = 0.044

The relative error is plus or minus 4.4 percent .

$( 24.2)/(550) \cdot100\%= (24.2\cdot100)/(550) \%= (242)/(55) \%= (22)/(5) \%=4.4\%$

Given: Two is an even integer or three is an even integer. Determine the truth value of this disjunction. Justify you answer.

Answers

It is TRUE OR FALSE, which gives TRUE.

A and b are complimentary angles. if m a = (6x+29) and m b = (x-5) then find the value of a.

Answers

Answer:angle a is about 85.57°

Step-by-step explanation:

Since they are complimentary, their sum equals 90° (6x+29+x-5=90°). You use this equation to find the value of x, which is ~ 9.428. After finding the value of x you plug it back in into a’s equation to find the value of a.

Rewrite the rational expression as an equivalent rational expression so that all expressions have a common denominator. 3/5,9/10,7/15,7/21

Answers

Answer:

126/210, 189/210, 98/210, 70/210

Step-by-step explanation:

find the lowest common multiple

of 5,10,15 and 21=210

42*3, 21*9, 14*7, 10*7

126/210, 189/210, 98/210, 70/210

What are the domain and range of the function {(5, 3), (7, 1), (11, –2), (4, 9), (–2, 4)}? A.

Domain: {3, 1, 9, 4}; Range: {5, 7, 11, 4, }

B.
Domain: {5, 7, 11, 4, }; Range: {3, 1, 9, 4}

C.
Domain: {5, 7, 11, 4, –2}; Range: {3, 1, –2, 9, 4}

D.

Domain: {3, 1, –2, 9, 4}; Range: {5, 7, 11, 4, –2}

Answers

Answer is C. Set of first part of the binary set is domain and second part of it is range. So the domain will be {5, 7, 11, 4, –2} and the range will be {3, 1, –2, 9, 4}

Answer:

Domain: {5, 7, 11, 4, –2}; Range: {3, 1, –2, 9, 4}

Step-by-step explanation:

The domain is the X value or the independent in put.

Range is the Y values, or the Dependant input.

Hope this helps!

A.W.E.S.W.A.N

Simplify 1/4(8m - 4n) + 1/3(6m + 3n)

Answers

Answer:

The simplified of $(1)/(4)(8m-4n)+ (1)/(3)(6m+3n)$ is 4m .

Step-by-step explanation:

As given

$= (1)/(4)(8m-4n)+ (1)/(3)(6m+3n)$

L.C.M of (4,3) = 12

$= (3* (8m-4n)+4* (6m+3n))/(12)$

$= (3* 8m-3* 4n+4* 6m+4* 3n))/(12)$

$= (24m-12n+24m+12n)/(12)$

$= (24m+24m)/(12)$

$= (48m)/(12)$

= 4m

Therefore the simplified of $(1)/(4)(8m-4n)+ (1)/(3)(6m+3n)$ is 4m .

1/4(8m - 4n) + 1/3(6m + 3n)=

Distribute the fractions through the parentheses

2m - n + 2m + n =

Combine like terms

2m + 2m - n + n = 4m

Simplified Answer is 4m

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