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Nat2105 [25]
2 years ago
7

30 POINTS PLEASE ANSWER ASAP. The Diagram shows the front wooden wall of the warehouse in the shape of a trapezoid with a rectan

gular section cut out for the steel door. What is the area of the front wooden wall of the warehouse?

Mathematics
1 answer:
jolli1 [7]2 years ago
8 0

Answer:

900 sq ft

Step-by-step explanation:

The area of a trapezoid is (Base 1 + Base 2) * height/2. So to plug the numbers in...

(30+60)20/2

90*20/2

1800/2

900 sq ft

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let a,b,c,d be four integers (not necessarily distinct) in the set {1,2,3,4,5}. the no. of polynomials x^4+ax^3+bx^2+cx+d which
Eddi Din [679]
By either long or synthetic division, it's easy to show that

\dfrac{x^4+ax^3+bx^2+cx+d}{x+1}=x^3+(a-1)x^2+(-a+b+1)x+(a-b+c-1)-\dfrac{a-b+c-d-1}{x+1}

The quartic will be exactly divisible by x+1 when the numerator of the remainder term vanishes, or for those values of a,b,c,d such that

a-b+c-d-1=0

I'm not sure how to count the number of solutions (software tells me it should be 80), but hopefully this is a helpful push in the right direction.
8 0
3 years ago
Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.
Sav [38]

<u><em>Answer:</em></u>

<u><em /></u>-9(\frac{2}{3}x) + 9(1)\\  \\-6x + 9

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following rules:</u>

<u>1- Distribution property:</u>

<u />a(b+c) = ab+ac

<u>2- Simplification of fractions:</u>

<u />\frac{xy}{yz}=\frac{x}{z}

<u>3- Signs in multiplication:</u>

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

<u>Now, for the given problem, we have:</u>

<u></u>9 (\frac{2}{3}x + 1)

<u>Starting with the distributive property:</u>

<u />-9 (\frac{2}{3}x +1) =  -9(\frac{2}{3}x) - (-9)(1) = -9(\frac{2}{3}x) + 9(1)

..................>This corresponds to option 1

<u>Now, we simplify the output from the above step:</u>

<u />-9(\frac{2}{3}x) + 9 = \frac{-9*2}{3}x + 9 = -6x+9

................> This corresponds to option 5

Hope this helps :)

4 0
3 years ago
Read 2 more answers
Three hundred twenty four million in numbers
LenaWriter [7]

24,000,300

Step-by-step explanation:

you mean twenty-four million and three hundred right? or Twenty million and three hundred thousand?

because that's not possible.

5 0
3 years ago
Read 2 more answers
Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line
ale4655 [162]

Answer:

m\angle 1  =105^\circ\\m\angle 2  =75^\circ

Step-by-step explanation:

The diagram is drawn and attached below.

From the diagram

m\angle 2 =75^\circ $ (Alternate Angles)

m\angle 1+ m\angle 2 =180^\circ $ (Sum of angles on a straight line)\\m\angle 1+75^\circ  =180^\circ\\m\angle 1  =180^\circ-75^\circ\\m\angle 1  =105^\circ

7 0
2 years ago
The population of Boomtown is currently 2000 and expected to grow by 3% over the next year. What will its population be by then?
Sliva [168]
2000
2000 + (2000 \times .03) = 2060
6 0
2 years ago
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