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2 years ago

What is the area of the triangle in the diagram?

Mathematics

2 answers:

dsp732 years ago

5 0

Answer:

The answer is the 2nd one

Step-by-step explanation:

mariarad [96]2 years ago

5 0

Answer:

(B)

Step-by-step explanation:

Given: A triangle whose coordinates are (0,0), $(x_{1},y_{1})$ and $(x_{2},y_{1})$ .

To find: The area of the triangle.

Solution: We know that Area of triangle= $\frac{1}{2}{\times}base{\times}height$ .

Now, Base= $\sqrt{(x_{2}-x_{1})^{2}+(y_{1}-y_{1})^{2}}$

Base= $(x_{2}-x_{1})$

And height= $\sqrt{(0-0)^2+(y_{1}-0)^2}$

Height= $y_{1}$

Therefore, area of triangle= $\frac{1}{2}{\times}(x_{2}-x_{1})}{\times}y_{1}$

Area of triangle= $\frac{1}{2}y_{1}(x_{2}-x_{1})}$

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If four is half of five and two thirds of six is nine. what is thirty-two?

valkas [14]

Four is IV which is half of five. IX is nine which is 2 thirds of 6 so... thirty-two is 1 5/6

5 0

1 year ago

A soccer ball is kicked into the air from the ground. If the ball reaches a maximum height of 25 ft and spends a total of 2.5 s

kondaur [170]

Hello,

g=9.81m/s²= 9.81/0.3048 =32.18.. ft/s² rounded to 32

h=-g/2*t²+vt+h0
if t=0,h=0 ==>h0=0

==>h=-16*t²+vt
50 ft in 2.5s ==> 25 ft in 1.25s

25=-16*1.25²+v*1.25
==>v=50/1.25=40

Equation h=-16t²+40*t

6 0

1 year ago

Every year the United States Department of Transportation publishes reports on the number of alcohol related and non-alcohol rel

Damm [24]

Complete question:

The line graph relating to the question was not attached. However, the line graph has can be found in the attachment below.

Answer:

17,209

Step-by-step explanation:

The line graph provides information about alcohol-related highway fatalities between year 2001 to 2010.

Determine the average number of alcohol-related fatalities from 2001 to 2006. Round to the nearest whole number.

The average number of alcohol related fatalities between 2001 - 2006 can be calculated thus :

From the graph:

Year - - - - - - - - - - Number of fatalities

2001 - - - - - - - - - - 17401

2002 - - - - - - - - - 17525

2003 - - - - - - - - - 17013

2004 - - - - - - - - - 16694

2005 - - - - - - - - - 16885

2006 - - - - - - - - - 17738

To get the average :

Sum of fatalities / number of years

(17401 + 17525 + 17013 + 16694 + 16885 + 17738) / 6

= 103256 / 6

= 17209.333

Average number of alcohol related fatalities is 17,209 (to the nearest whole number)

6 0

2 years ago

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

2 years ago

Read 2 more answers

A campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 199 like rock,

Ostrovityanka [42]

<span>There are 24 who like both rock and country. There are 8 who like all 3 types, and these eight have been counted under the 24. This means that the number who like rock and country but not jazz is 24 - 8 = 16.
We are given a total of 155 who like country. We subtract the 16 who like both rock and country, and are left with 139 people who like country but not rock. (It does not matter whether they like jazz or not).
The probability is 155 out of the total of 500, so 155/500 = 31/100 = 0.31.
</span>

6 0

1 year ago