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olga_2 [115]
3 years ago
14

Circumference of a circle with a radius of 5 inches

Mathematics
2 answers:
Fudgin [204]3 years ago
8 0
Circumference of a circle with a radius of 5 inches is 31.42 in.
You can express that by writing C <span>≈ 31.42 in.
I hope you find this answer the most helpful.</span>
Lerok [7]3 years ago
7 0

Answer is provided in the image attached.

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The scale from a garden to this drawing is 8 ft to 1 cm. the scale from the same garden to another drawing is 2 ft to 1 cm. what
garik1379 [7]

The lengths of the base and height of the garden in the other scale drawing are 0.6 cm and 0.9 cm. So, option A is correct.

What is the scale factor?

The scale factor is calculated by                                                                     Scale factor = Length of the new drawing ÷ length of the original drawing

Calculation:

It is given that,

For the given triangle drawing, the scale from a garden to this drawing is 8 ft to 1 cm. The scale from the same garden to another drawing is 2 ft to 1 cm.

So, we can compute the scale factors as

8 ft to 1 cm = 1/8 cm

2 ft to 1 cm = 1/2 cm

Then the scale factor for the required lengths is 1/8 ÷ 1/2 = 1/4 cm

Thus, the required lengths are:

The base of the garden on the other scale drawing is

= 2.4 cm × 1/4

= 0.6 cm

The height of the garden on the other scale drawing is

= 3.6 cm × 1/4

= 0.9 cm

Therefore, the lengths of the base and the garden on the other scale drawing are 0.6 cm and 0.9 cm. So, option A is correct.

The given question in the portal was incomplete. Here is the complete question.

Question: The scale from a garden to this drawing is 8 ft to 1 cm. The scale from the same garden to another drawing is 2 ft to 1 cm. What are the lengths of the base and height of the garden in the other scale drawing?

A) 0.6 cm and 0.9 cm

B) 1.2 cm and 1.8 cm

C) 4.8 cm and 7.2 cm

D) 9.6 cm and 14.4 cm

Learn more about scale factors here brainly.com/question/28307342

#SPJ4

5 0
2 years ago
Find the smallest positive $n$ such that \begin{align*} n &amp;\equiv 3 \pmod{4}, \\ n &amp;\equiv 2 \pmod{5}, \\ n &amp;\equiv
Alex777 [14]

4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.

We construct a number x such that taking it mod 4, 5, and 7 leaves the desired remainders:

x=3\cdot5\cdot7+4\cdot2\cdot7+4\cdot5\cdot6

  • Taken mod 4, the last two terms vanish and we have

x\equiv3\cdot5\cdot7\equiv105\equiv1\pmod4

so we multiply the first term by 3.

  • Taken mod 5, the first and last terms vanish and we have

x\equiv4\cdot2\cdot7\equiv51\equiv1\pmod5

so we multiply the second term by 2.

  • Taken mod 7, the first two terms vanish and we have

x\equiv4\cdot5\cdot6\equiv120\equiv1\pmod7

so we multiply the last term by 7.

Now,

x=3^2\cdot5\cdot7+4\cdot2^2\cdot7+4\cdot5\cdot6^2=1147

By the CRT, the system of congruences has a general solution

n\equiv1147\pmod{4\cdot5\cdot7}\implies\boxed{n\equiv27\pmod{140}}

or all integers 27+140k, k\in\mathbb Z, the least (and positive) of which is 27.

3 0
3 years ago
What are the sine, cosine, and tangent of circle = 3pi/4 radians?
KengaRu [80]

if  you don't have a Unit Circle yet, this is a good time to get one, you can find many online, check maybe in yahoo images, or google images.

Check the picture below.

notice the section encircled in purple.

7 0
3 years ago
What is 2+2. ;) No but seroisly what is itz
notsponge [240]

Answer:

4

Step-by-step explanation:

I could be wrong but it is what it is

4 0
3 years ago
Read 2 more answers
Solve the equation below.
never [62]

Answer:

( c ) x = 2.5

Step-by-step explanation:

3(17x - 6.5) = 108

divide both side of the equation by 3...

17x - 6.5 = 36

17x = 36 + 6.5

17x =  42.5

x = 2.5

hence the value of x is 2.5...

8 0
2 years ago
Read 2 more answers
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