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Leno4ka [110]
3 years ago
14

How do ratios work. is there trick you can use to do very ratio

Mathematics
1 answer:
inn [45]3 years ago
5 0

Answer:

\frac{5}{8} :\frac{y}{24}

Cross multiply.

y × 8 = 24 × 5

Simplify.

8y = 120

Divide each side by 8.

8y ÷ 8 = 120 ÷ 8

Simplify.

y = 15

\frac{6}{8} :\frac{y}{24}

You can simplify 6/8.

\frac{3}{4} :\frac{y}{24}

Cross multiply.

y × 4 = 3 · 24

Simplify.

4y = 72

Divide each side by 4.

4y ÷ 4 = 72 ÷ 4

Simplify.

y = 18

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Which property was used to simplify the expression?<br><br> (y^5)^2 = y^10
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<span>(y^5)^2 = y^10

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8 0
3 years ago
Which are true about the pyramid? Check all that apply.
Travka [436]

The statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
  • The slant height of the pyramid is 612 feet.
  • All four triangular faces are congruent.
  • The pyramid has four lateral faces.

<h3>Properties of a Square pyramid </h3>

From the question, we are to determine the statements that are true about the pyramid

The diagram shows a square pyramid,

The length of a side of its base is 756 ft

and

The height / altitude of a triangular face is 612 ft

Since the pyramid is a square pyramid,

Then, the base must be a square with each side measuring 756 feet

∴ The first statement is true

Since the height of a triangular face is 612 ft,

Then,

∴ The slant height of the pyramid is 612 feet

NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face

Thus, the second statement is true

Since the triangular faces each have a base of 756ft and a height of 612 ft,

Then,

All four triangular faces are congruent

∴ The fourth statement is true

NOTE: Lateral sides of a solid are the faces on the <u>sides</u> of the shape

The pyramid has four lateral faces which are each a triangle

∴ The last statement is true

Hence, the statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
  • The slant height of the pyramid is 612 feet.
  • All four triangular faces are congruent.
  • The pyramid has four lateral faces.

Learn more on Pyramid here: brainly.com/question/10042135

#SPJ1

4 0
2 years ago
Awarding branliest for first correct answer
sineoko [7]

Answer:

Step-by-step explanation:

x² - y² =  (x + y)(x-y)

c² - (5b - 3a)² = (c + [5b -3a]) ( c - [5b - 3s] )

                     = (c + 5b - 3a) (c - 5b + 3s)

6 0
4 years ago
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