Answer:
Factor −2401
−2401
=(+49)(x+7)(x−7)
Answer:
This is the same as writing 7^8 when using a keyboard.
The exponent 8 refers to how many copies of the base "7" that are multiplied.
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.
B. 36π units³
C. 45π units³
D. 90π units³
Answer:
Step-by-step explanation:
According to the diagram, the radius of this cyl. is 3 and the height is 4 (not 5). The formula for the volume of a cylinder is:
V = pi*r^2*h.
Here, that volume is V = pi*3^2*4, or 36 pi cubic units. That's Answer B.
The volume of the right cylinder is
Further explanation:
The formula for the volume of the cylinder can be expressed as,
Here, ‘r” represents the radius of the cylinder and “h” represents the height of the cylinder.
Given:
The radius of the cylinder is and the height of the cylinder is and the slant height is
The options of the volume are given as follows.
A.
B.
C.
D.
Explanation:
The volume of the right cylinder can be obtained as follows,
The volume of the cylinder is
Option A is not correct.
Option B is correct.
Option C is not correct.
Option D is not correct.
Hence, the volume of the right cylinder is
Learn more:
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Mensuration
Keywords: Cylinder, surface area of the cylinder, volume of the cylinder, right cylinder, 72, 36, 45, 90, height, radius depth.