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Butoxors [25]
3 years ago
14

Please help im really confused :(​

Mathematics
1 answer:
pantera1 [17]3 years ago
5 0

Answer:

a) π

b) 33.4

Step-by-step explanation:

C = πd

1) substitute 105 for C: 105 = πd

2) plug in approximate value of 3.14 for π: 105 = (3.14) d

3) isolate to solve for d: 105/3.14 = d

4) simplify: 105/3.14 ≈ 33.4

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Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex
andrezito [222]

Answer:

g(x) = (x -3 )^2 + 2

Step-by-step explanation:

f(x) = (x + 2)^2 + 2

We want to shift this 5 units to the right

The parabola is written in the form

y = a(x-h) ^2 +k  where (h,k) is the vertex

The vertex is at ( -2, 2)

We want to shift it 5 units to the right

-2+5 = 3

g(x) = (x -3 )^2 + 2

7 0
3 years ago
Factor completely.
tatyana61 [14]

Answer:

A.) (7t³ + 2k^4)(7t³ - 2k^4)

Step-by-step explanation:

Factor the following:

49 t^6 - 4 k^8

49 t^6 - 4 k^8 = (7 t^3)^2 - (2 k^4)^2:

(7 t^3)^2 - (2 k^4)^2

Factor the difference of two squares. (7 t^3)^2 - (2 k^4)^2 = (7 t^3 - 2 k^4) (7 t^3 + 2 k^4):

Answer:  (7 t^3 - 2 k^4) (7 t^3 + 2 k^4)

3 0
3 years ago
Read 2 more answers
Use long division to convert the rational number 1/4 to its equivalent decimal form. In your final answer, include all of your w
nikdorinn [45]
1/4=25/100

Decimal is = .25
4 0
3 years ago
[*Please Help me with this Question, Thank you & Please!*]
Aliun [14]

Answer:

x=3

Step-by-step explanation:

Since both triangles are similiar, this means they can have different sized sides, but they are just scaled versions of each other. This also means that no matter what sides they have, their angles are going to be the exact same

Knowing this, it helps to draw them out side by side so you can match them up easier. Both of them have a 90 degree angle, and more specifically they are 45-45-90 triangles (45-45-90 is a special right triangle). You can point this out since they give us a 90 degree angle and two angles that are congruent in the same triangle. In order for that to work, they HAVE to be 45-45-90

With this, we can find out what x equals. Since the two angles markings line up with the two side angles in the other triangle, we know that they are equal to each other.

we can use the equation 15x = 45, since 45 is what the side angle should equal.

now, we just divide 45 by 15, and we should get 3

so x = 3!

I hope this helps :)

3 0
2 years ago
The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5.
nikitadnepr [17]

Answer:

  4

Step-by-step explanation:

The sum of n terms of a geometric series with first term a1 and common ratio r is given by ...

  Sn = a1·(r^n -1)/(r -1)

for r=5 and n=6, this becomes ...

  15624 = a1·(5^6 -1)/(5 -1) = a1·(15624/4)

Then we have ...

  1 = a1/4 . . . . . divide by 15624

  4 = a1 . . . . . . multiply by 4

The first term of the series is 4.

5 0
3 years ago
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