​A factory manufactures tennis balls. Each tennis ball is stamped with the number ​1, 2, 3, or 4. The table shown below lists th

It should be 94, I hope this provides assistance

Response:

  a. height of the pyramid: 5√7 cm

  b. overall area: (100 +200√2) cm²

  c. volume: (500/3)√7 cm³

Step-by-step explanation:

b) Each triangular face is an isosceles triangle with a base measuring 10 cm and a side length of 15 cm. That side length serves as the hypotenuse of the right triangle formed when an altitude is drawn. The altitude length can be calculated using the Pythagorean theorem as...

  h = √(15² -5²) = √200 = 10√2... cm

The lateral area equals the combined area of the four triangular faces, each one having this altitude and a base of 10 cm

  LA = 4 × (1/2)bh = 2bh

  LA = 2(10 cm)(10√2 cm) = 200√2 cm²

Additionally, the area of the square base is calculated as...

  A = s² = (10 cm)² = 100 cm²

Thus, the total surface area of the pyramid can be expressed as...

  A + LA = (100 +200√2) cm².... overall surface area

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a)  The altitudes of opposite triangular faces along with a line drawn across the center of the base form another isosceles triangle. The height of this triangle corresponds to the pyramid's height. This height can also be derived with the Pythagorean theorem.

The altitude of the face acts as the hypotenuse of the right triangle, with half the base width being one side. The other side equates to the pyramid's height.

  height = √((10√2)² -5²) = √175 = 5√7

The pyramid's height is 5√7 cm.

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c) The volume is determined using the formula...

  V = (1/3)Bh

where B represents the base area (100 cm²) determined earlier, and h stands for the height (5√7 cm) calculated in section (a).

  V = (1/3)(100 cm²)(5√7 cm) = (500/3)√7 cm³.... pyramid volume

Answer: To remove fractions prior to solving, each term in the equation must be multiplied by .

Step-by-step explanation:

Consider the given expression:

It is essential to simplify this before attempting to solve it.

Since the denominators differ, identifying the Least Common Denominator (LCD) is necessary.

Break down the denominators into their prime components:

Select , as it possesses the greatest exponent. Thus:

Ultimately, to remove the fractions before solving, multiply both sides by 4:

Answer:

Attached is the question in consideration.

forms a straight line.

depicts a right triangle.

The options represent the correct answers.

Step-by-step explanation:

⇒ Given that  is ⊥ it constitutes a right triangle, leading to .

⇒ The measure for equals as bisects , implying that is half of , thus  .

⇒ represents a straight line, as the angle measures across it yield .

⇒ The angle measure for is derived from the linear pair concept.

The other two options are incorrect as:

       it surpasses while is a               

      straight line.

• Also, is inaccurate.

     As and

Thus, we have a total valid answers.

The confirmed options are .