What is the answer to 2(x+4)-3

The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr

malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

$A = \frac {b * h} {2}$

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the statement data we have:

$b = 6 + 2h$

Substituting we have:

$88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0$

We divide between 2 on both sides:

$h ^ 2 + 3h-88 = 0$

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

$(h + 11) (h-8) = 0$

We have two roots:

$h = -11\\h = 8$

We choose the positive value.

Thus, the base of the triangle is: $b = 6 + 2 (8) = 22$

Answer:

The base of the triangle is 22 units.

5 0

3 years ago

Read 2 more answers

In a soccer tournament teams receive 6 points for winning a game 3 points for trying a game and 1 point for each goal they score

Alex777 [14]

I beleive it is 6(2) + 3 (1) + 1(5) = 20 points :)

8 0

3 years ago

Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. At that rate, how much would she pay in sales tax for an i

jeyben [28]

Answer:

She would pay $2.80 in sales tax.

Step-by-step explanation:

This question can be solved by proportions, using a rule of three.

Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. How much in taxes for $40.00 before taxes?

$2.52 - $36.00

x - $40.00

Applying cross multiplication

$36x = 40*2.52$

$x = \frac{40*2.52}{36}$

$x = 2.8$

She would pay $2.80 in sales tax.

7 0

2 years ago

A pancake recipe calls for 4 cups of flour and 3 cups of milk.Does a recipe calling for 2 cup of flour and 1.5 cups milk use the

Tpy6a [65]

Yes.
4 cups of flour/3 cups of milk= 1.33 flour/milk
2 cups of flour/ 1.5 cups of milk= 1.33 flour/milk
As you can see, these are the same ratios.

7 0

3 years ago

The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to

Lesechka [4]

Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74

Median is the most appropriate measure of central tendency.

The least appropriate = mean

Yes there is an outlier.

Step-by-step explanation:

Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

First arrange them in increasing order, $\sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74$

Its sum = 35

Mean of n observations = (Sum of observations) ÷ n

Mean = (35) ÷ 10

=3.5

Here n =10 (even)

Median = average of middle most numbers = $\dfrac{2+3}{2}=\dfrac52=2.5$

Mode = most repeated number = 2 (thrice)

geometric mean = $\sqrt[n]{x_1\times x_2\times.... x_n}$

10 is an outlier as it is very large as compare to other numbers.

When outlier is present in data , the median is the most appropriate measure of central tendency.

Mean affected badly by the outlier so it the least appropriate.

4 0

3 years ago