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Irina-Kira [14]
3 years ago
12

The altitude of a triangle is 5 less than its base. The area of the triangle is 42 square inches. Find its base and altitude.​

Mathematics
1 answer:
zavuch27 [327]3 years ago
8 0

9514 1404 393

Answer:

  base: 12 in

  altitude: 7 in

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

Filling in the given information, we have ...

  42 = 1/2(b)(b -5)

  b^2 -5b -84 = 0 . . . . multiply by 2, put in standard form

  (b -12)(b +7) = 0 . . . . factor

The only positive solution is b = 12

The base is 12 inches; the altitude is 7 inches.

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What is 80 x 40? Make 5 paragraphs stating the answer.
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what is the width of a rectangular prism when the surface area is 904 square feet, and it has a height of 10 feet and a length o
k0ka [10]

Answer:

The answer

Step-by-step explanation:

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7 0
3 years ago
C = 200 – 7x + 0.345x2
fenix001 [56]

The way to find the domain and the range is illustrated below.

<h3>How to illustrate the information?</h3>

From the information, c(x) = 200 - 7x + 0.345x². It should be noted that the domain is the set of x-values that are feasible.

The range is the set of possible results for c(x). They are the possible costs. You can derive this from the fact that c(x) is a parabola and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape.

You can substitute some values for x to help you, for example:

x      y

0    200

1    200 -7 +0.345 = 193.345

2    200 - 14 + .345 (4) = 187.38

3    200 - 21 + .345(9) = 182.105

4    200 - 28 + .345(16) = 177.52

5    200 - 35 + 0.345(25) = 173.625

6    200 - 42 + 0.345(36) = 170.42

10  200 - 70 + 0.345(100) =164.5

11 200 - 77 + 0.345(121) = 164.745

If the functions do not have real roots, then the costs never decrease to 0. The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes from 164.5 to infinity, limited to the solution for x = positive integers.

Learn more about domain on:

brainly.com/question/2264373

#SPJ1

Complete question:

the daily production cost, c, for x units is modeled by the equation: c = 200 – 7x 0.345x² explains how to find the domain and range of c.

4 0
1 year ago
I need help with these
tia_tia [17]

Answer:

Step-by-step explanation:

5)               -7 (-15w + 21) + 3(18 - 27w)

Step 2:        105w - 81w - 147 + 54

6)      

step 3:       24w - 93

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