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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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A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the s

NNADVOKAT [17]

1. First, you must apply the formula for calculate the sum of the interior angles of a regular polygon, which is shown below:

(n-2) × 180°

"n" is the number of sides of the polygon (n=5).

2. Then, the sum of the interior angles of the pentagon, is:

(5-2)x180°=540°

3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:

α+α+2α+2α+2α=540°

8α=540°

α=540°/8

α=67.5°

4. Finally, the larger angle is:

2α=2(67.5°)=135°

5. Therefore, the answer is: 135°

6 0

1 year ago

The highest recorded temperature during the month of July for a given year in Death Valley, California has an approximately norm

S_A_V [24]

Answer:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:

$X \sim N(123.8,3.1)$

Where $\mu=123.8$ and $\sigma=3.1$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

6 0

2 years ago

An account earns simple annual interest.<br><br> $925 at 2.3% for 2.4 years

aksik [14]

Answer:

$51.06

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, 925x0.023=21.275

21.275x2.4=$51.06 in total

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

BTW, brainliest would be greatly appreciated, I only need one more before I advance, thanks!

5 0

1 year ago

Compare and contrast XY with XY.

mojhsa [17]

Answer:

${}$ XY $\overline {XY}$

Represent a distance ${}$ √

Represent a segment ${}$ √

Represent a numerical value ${}$ √

Represent a geometric figure √

Can be found by applying the ruler postulate ${}$ √

Can be be duplicated with a compass and a straight edge √

Step-by-step explanation:

The difference between XY and $\overline {XY}$ are that the points XY represents the distance between two points having a numerical value whose value can be found by using a ruler to find difference in the numbers on the ruler that coincides with the points, while

4 0

2 years ago

the center of a circular sunflower with a diameter of 4 centimeters is (-2,1). Which equation represents the sunflower?

BigorU [14]

The standard equation the circle is given by:
(x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2
Where,
(xo, yo): coordinates of the center of the circle
r: radius of the circle
Substituting values we have:
(x - (- 2)) ^ 2 + (y-1) ^ 2 = (4/2) ^ 2
Rewriting:
(x + 2) ^ 2 + (y-1) ^ 2 = 4
Answer:
An equation that represents the sunflower is:
(x + 2) ^ 2 + (y-1) ^ 2 = 4

6 0

1 year ago