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riadik2000 [5.3K]
3 years ago
14

5. What is the 38th term of the arithmetic sequence where *

Mathematics
2 answers:
sveticcg [70]3 years ago
6 0
A 59.5 is the answer
inn [45]3 years ago
5 0

Answer:

  • A. 59.5

Step-by-step explanation:

<u>Given AP with </u>

  • a₄ = 8.5 and a₇ = 13
  • a₃₈ = ?

<u>Equation for nth term:</u>

  • aₙ = a₁ + (n - 1)d

<u>Use same for given terms:</u>

  • a₄ = a₁ + 3d = 8.5
  • a₇ = a₁ + 6d = 13

<u>Subtract the last two equations:</u>

  • 3d = 13 - 8.5
  • d = 4.5/3
  • d = 1.5

<u>Find a₁:</u>

  • a₁ = 8.5 - 3*1.5 = 4

<u>Now find a₃₈:</u>

  • a₃₈ = 4 + 1.5*37 = 59.5

Correct choice is A

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Which of the following comparisons is FALSE?
dybincka [34]

Answer:

A

Step-by-step explanation:

Let's check each one-by-one.

a.

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THis is false.

b.

We know 1 feet is 0.30 meters, so definitely 1 foot is less than 1 meter.

This is true.

c.

we know around 28.35 grams is 1 ounce, so definitely 25 grams is less than 1 ounce.

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d.

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4 0
4 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
Two ladders are leaning against a wall at the same angle as shown. How tall is the shorter one ? If the longer one is 54ft by 30
kompoz [17]
I think that it is 18
6 0
4 years ago
Peyton has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets
navik [9.2K]

Answer:

Total hours worked = 21

Total earned = 15gg + 16nn

Step-by-step explanation:

We know:

Grocery store: $15/hour

Nursery: $16/hour

Total hours worked = 12 + 9 = 21

Your expression would be:

Total earned = 15gg + 16nn

6 0
3 years ago
Help plz. thank u so much.​
Oksana_A [137]

Answer:

i think x/y=4

Step-by-step explanation:

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