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Minchanka [31]
3 years ago
14

8. Translate triangle ABC 3 units right and 2 units down.

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

First get the point of A which is (-2,1). Then 3 units to the right means adding 3 to x value so -2+3=1, x will be 1. Then going 2 units down means the y value needs to subtract 2. 1-2=-1

Final A will then be (1,-1)

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A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid​
attashe74 [19]

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

8 0
3 years ago
Read 2 more answers
Triangle ABC and triangle PQR each have two sides whose lengths are 7 and an angle whose measure is 40. Are the triangles congru
Elena L [17]

No

Step-by-step explanation:

they could be but it doesnt say where the angle is so there isn't enough information to tell if they are congruent. answer is no

8 0
3 years ago
Q1 - Find the circumference of following circle. Take π = 3.14
Tanzania [10]

Answer:

The circumference of the circle is <u>C-72.22 </u><u>units</u>

Step by step explanation-

Given-

  • Diameter of circle (d) = 23 units
  • π = 3.14

Now,

<h3>\mathfrak {circumference \: of \: circle = \pi d }</h3>

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 3.14 \times 23

\:  \:  \:  \:  \:  \:  \:\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \boxed{  = 72.22 \: units}

6 0
2 years ago
Read 2 more answers
What's the prime factor of 92 ?
mariarad [96]
Prime factors are multiplying numbers that cannot be divided into smaller numbers.
Let's break down 92.
Divide 92 by 2.
2 x 46.
We can still break this down.
Divide 46 by 2.
2 x 2 x 23.
This is your prime factorization of 92.
I hope this helps!
8 0
3 years ago
Read 2 more answers
4. If N is the set of natural numbers that are factors of 16, choose the selection below that correctly shows
Lostsunrise [7]

The set of factors of 16 is={1,2,4,8,16}.So option(1) is correct

Natural numbers are those that start with 1 and go on indefinitely. In other words, natural numbers are counting numbers that do not include 0 or any negative or fractional numbers. Natural numbers are numbers like 1, 6, 89, 345, and so on.

What exactly are the factors?

A factor is a number that divides another number with no remainder. In other words, if multiplying two whole numbers results in a product, the multiplied numbers are factors of the product because the product is divisible by them. There are two methods for locating factors: multiplication and division.

Given in the question that, N is the set of natural numbers that are factors of 16

factors of 16 are = 1,2,4,8,16

so the set of factors of 16 is={1,2,4,8,16}

To learn more about natural numbers visit

brainly.com/question/17429689

#SPJ1

3 0
1 year ago
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