the area of the triangle with sides of lengths 13 cm, 6 cm, and 9 cm is approximately 23.66 square centimeters.
To find the area of a triangle when you know the lengths of all three sides, you can use Heron's formula. Heron's formula states that the area (A) of a triangle with sides of lengths a, b, and c can be calculated using the following formula:
A = √[s(s - a)(s - b)(s - c)]
Where:
s is the semiperimeter (half of the perimeter), given by s = (a + b + c) / 2.
a, b, and c are the lengths of the triangle's sides.
In your case, the lengths of the three sides are a = 13 cm, b = 6 cm, and c = 9 cm. Now, calculate the semiperimeter (s):
s = (a + b + c) / 2
s = (13 + 6 + 9) / 2
s = 14 cm
Now, use Heron's formula to find the area (A):
A = √[14(14 - 13)(14 - 6)(14 - 9)]
A = √[14(1)(8)(5)]
A = √[560]
A ≈ 23.66 cm² (rounded to two decimal places)
So, the area of the triangle with sides of lengths 13 cm, 6 cm, and 9 cm is approximately 23.66 square centimeters.
Learn more about area of triangle here:
#SPJ12
Answer:
ADD ALL SIDE TOGETHER
Step-by-step explanation:
Answer:
Three points determine a plane.
:)
Answer:
Three
Step-by-step explanation:
Answer: The new coordinates are (-2, 7)
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Reasoning:
The elephant is at location (-6,-1)
Move 8 units up and we move to (-6,7). Add 8 to the y coordinate while keeping the x coordinate the same.
Then we move 4 units to the right to arrive at (-2, 7). I added 4 to the x coordinate and kept the y coordinate the same.
There are no animals at this location, but Cory is between the giraffe and the deer. In other words, if you draw a line segment from the giraffe to the deer, then Cory's new location is on this line segment. He is closest to the giraffe.
Answer:
3x = 120
x = 40
Answer:
The information you provided appears to be a list of angles along with terms related to angles.
1. 29°: This is the measure of an angle. It represents an angle that is less than 90° and is called an acute angle.
2. J7: It is not clear what "J7" represents in this context. If you could provide more information or clarify its meaning, I would be happy to help.
3. 61°: This is another measure of an angle. It represents an angle that is less than 90° and is also called an acute angle.
4. یاب: "یاب" is a Persian word meaning "find" or "solve." In the context of angles, it is not clear what it refers to. If you have a specific question or problem related to angles, please provide more details so I can assist you further.
5. 45°: This is the measure of an angle. It represents an angle that is exactly half of a right angle and is called a right angle.
6. 2: It is not clear what "2" represents in this context. If you could provide more information or clarify its meaning, I would be happy to help.
7. 135⁰: This is another measure of an angle. It represents an angle that is greater than 90° but less than 180°. It is called an obtuse angle.
The terms mentioned in the list, such as "Complementary Angles," "Adjacent Angles," "Vertical Angles," and "Supplementary Angles," are concepts related to angles:
- Complementary Angles: Two angles are considered complementary if the sum of their measures is equal to 90°. For example, if one angle measures 30°, the other angle that makes it complementary would measure 60°.
- Adjacent Angles: Two angles are considered adjacent if they have a common vertex and a common side between them. In other words, they share a ray. For example, if you have a straight line and divide it into two angles at a point, those angles would be adjacent.
- Vertical Angles: Vertical angles are formed by two intersecting lines. They are opposite each other and have equal measures. For example, if two lines intersect and form four angles, the angles that are opposite to each other (across the intersection) are vertical angles.
- Supplementary Angles: Two angles are considered supplementary if the sum of their measures is equal to 180°. For example, if one angle measures 120°, the other angle that makes it supplementary would measure 60°.
If you have any specific questions about these concepts or would like further clarification, please let me know!
Answer:
1. Complementary.
2. Adjacent.
3. Vertical.
4. Supplementary.
Step-by-step explanation:
The options we have are complementary, supplementary, adjacent, and vertical angles. So we should probably start by explaining briefly what each of these are.
Complementary angles are angles that when added together, equal 90°.
Supplementary angles are angles that when added together, equal 180°.
Adjacent angles are angles with a common side and a common vertex (they share a side and start from the same point).
Vertical angles are pairs of opposite angles made by two intersecting lines.
1. Let's look at the first option. We see two angles marked, 61° and 29°. Note that 61 and 29 add to 90. That means these angles must be complementary.
2. Let's look at the second option. We see two angles marked, 1 and 2. Note that the share a side (the line/arrow between them) and a vertex (they start from the same point. That means these angles must be adjacent.
3. Let's look at the third option. We see two angles marked, 1 and 2. Note that they are made by two intersecting lines and are located opposite each other. That means these angles must be vertical.
4. Finally, let's look at the second option. We see two angles marked, 45° and 135°. Note that 45 and 135 add to 180. That means these angles must be supplementary.
35.84
128
163.84
Answer: 23.22
Step-by-step explanation:
Given function:
At x=7
At x=14
We know that the rate of change from to of function is given by
Therefore, The rate of change of given function from x=7 to x=14
Therefore, the average rate of change from x = 7 to x = 14 for the given function is 23.22
Answer:
the answer is 23.22
Step-by-step explanation: