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4 years ago

In the following Earliest Start Time (EST) graph, assume each unit of time is an hour.

Mathematics

1 answer:

Dennis_Churaev [7]4 years ago

4 0

In the following Earliest Start Time (EST) graph, assume each unit of time is an hour.

How many hours will it take until Task F can be started?

14 hours

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What is n-4-9<br>(simply each expression)<br>:)

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n-14 is the answer your welcome

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3 years ago

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Expand and simplify (x − 3)(2x + 1)(3x - 2)

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6 $x^{3}$ - 19 $x^{2}$ + $x$ +6

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Does anyone know how to do this

otez555 [7]

Considering the area of the rectangle, we have that the length is of 8 units and the width is of 10 units.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle of length l and width w is given as follows:

A = lw.

In this problem, the area is of 80 square units, while the length and the width are consecutive even integers, hence:

A = 80.

w = l + 2.

Then:

l(l + 2) = 80

l² + 2l - 80 = 0

(l + 10)(l - 8) = 0.

We need the positive measure, hence:

l - 8= 0 -> l = 8 units.

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More can be learned about the area of a rectangle at brainly.com/question/10489198

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2 years ago

The longer leg of a right triangle is 7 ft longer than the shorter leg. The hypotenuse is 9ft longer than the shorter leg. Find

julia-pushkina [17]

Answer:

8, 15 and 17 feet respectively

Step-by-step explanation:

Let the shorter leg=l feet

The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet

The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet

Using Pythagoras Theorem

$Hyp^2=Opp^2+Adj^2\\(l+9)^2=l^2+(l+7)^2\\(l+9)(l+9)=l^2+(l+7)(l+7)\\l^2+9l+9l+81=l^2+l^2+7l+7l+49\\l^2+18l+81=2l^2+14l+49$

This results into:

$2l^2-l^2+14l-18l-81+49=0$

$l^2-4l-32=0\\l^2-8l+4l-32=0\\l(l-8)+4(l-8)=0\\(l-8)(l+4)=0$

l-8=0 or l+4=0

l=8 or -4

Since length cannot be negative, The length l=8 feet

The sides of the rectangle are therefore: 8, 15 and 17 feet respectively

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3 years ago

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Hatshy [7]

Answer:

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