All categories

3 years ago

The height of a triangle is 2 units longer than it's base. If the area is 12 square units,what is the length of the base

1 answer:

6 0

The vase of the triangle would be x because it is unknown and the height would be x+2 because it is 2 more units than the base the formula for the area of a triangle is (base)(height)% 2 =area so (x)(x+2)%2=12 so then you have 1/2x^2+x=12 at this point I would move the 12 to the other side by subtracting to get 1/2x^2+x-12=0 then I would multiply it all by 2 to get x^2 + 2x-24 from there I would factor to get (x+6)(x-4) and your answers would be x= -6 and 4 and because 6 is negative it would not work because distances are always positive so the base would equal 4

You might be interested in

A researcher reports a 98% confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be [0.34,

Fantom [35]

Answer:

$0.34 \leq p \leq 0.38$

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

Step-by-step explanation:

For this case we have a confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be given by:

$0.34 \leq p \leq 0.38$

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

Then the best answer is:

2. False

3 0

3 years ago

A television was originally priced at $598.00. The price was reduced by 6%. What is the new price of the television?

aksik [14]

Hello.

To find the answer of this question, you need to find 6% of 598.
6 / 100 = 0.06. 0.06 x 598 = 35.88. So now all you have to do is subtract 35.88 from 598. 598 - 35.88 = 562.12.

So the new price of the television is 562.12.

Have a great day! :)

8 0

3 years ago

The distance from one corner of a rectangular garden to the other is 13 ft. The length of the garden is 7 ft longer than the wid

coldgirl [10]

Answer:

dimensions: 12 ft by 5 ft
area: 60 ft²

Step-by-step explanation:

Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...

x² + (x+7)² = 13²

2x² +14x + 49 = 169 . . . . eliminate parentheses

x² +7x -60 = 0 . . . . . subtract 169 and divide by 2

(x +12)(x -5) = 0 . . . . factor the equation

x = -12 or +5 . . . . . . . only the positive value of x is useful here.

The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².

_____

<em>Comment on finding the area</em>

The quadratic equation above can be rearranged and factored as ...

x(x +7) = 60

Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.

4 0

3 years ago

How many of each type of box is it carrying?

CaHeK987 [17]

Answer:

Number of large boxes: 55

Number of small boxes:65

Step-by-step explanation:

Let be "l" the number of large boxes and "s" the number of small boxes.

Set up a system of equations:

$\left \{ {{l+s=120} \atop {60l+30s=5250}} \right.$