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Vika [28.1K]
3 years ago
8

What’s the radius of the circle?

Mathematics
1 answer:
const2013 [10]3 years ago
7 0

Answer:

153m

Step-by-step explanation:

perimeter of an arc = theta/360 × 2πr

P= 17πm

theta = 20°

17πm= 20/360 × 2 × π × r

153πm = πr

r = 153m

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The perimeter of a rectangular concrete slab is 106 feet and its area is 570 square feet. What is the length of the longer
Sliva [168]

Answer:

The length of the long side of the rectangle is 38 ft.

Step-by-step explanation:

If we test out all possible factors, we will see that 15 x 38 is the most fitting.  

Perimeter: 15 + 15 + 38 + 38 = 106 ft.

Area: 15 x 38 = 570 square ft.

38 ft. is the measurement of the long side and 15 ft. is the measurement of the smaller side.  

7 0
3 years ago
Read 2 more answers
The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana sp
Nataliya [291]

Answer:

$82 sundaes

$74 banana split

Step-by-step explanation:

Step one :

Given data

Cost of sundaes =$2 each

Cost of banana split =$3 each

Let the number of sundaes bought be x

And the number of banana split bought be y

The total is x+y

The shop sold 8 more Sundaes than the Banana split

x=8+y—-------1

Total amount made = $156

Therefore the system of equation for the situation is

x=8+y----—----------1

2x+3y=156---------2

But x=8+y

8+y+y=156

8+2y=156

2y=156-8

2y=148

Divide both sides by 2

y=148/2

y=74

On That day they sold $74 banana split

And also they sold x=8+74=$82 sundaes

4 0
2 years ago
How to solve 16 * 12.5
Mariana [72]

Answer: 200

Step-by-step explanation:

First I would do it like this.

12.5

X. 16

—————-

6 times 5 is 0, carry the 3, 6 times 2 is 12 and add 3 from the other which is 15, put the 1 from the 15 to the one next to the 12. 6 times 1 is 6 plus 1 is 7 which now you have 750. 5 times 1 is 5, 2 times 1 is 2, 1 times 1 is 1. It should look like this now.

12.5

X 16

—————

750

+ 1250

——————-

Which is 8750 but wait. Where is the decimal? Well, there is only one number behind the decimal so it is 875.0 or 875.

5 0
3 years ago
Paul is going to have the exterior of his home painted. Painting USA charges $75.00 to come out and evaluate the house plus $25.
user100 [1]
Given:$75
25 hours

Painting USA : Fixed cost: $75 ; Variable Cost: $25x
Total Cost = 75 + 25(25) = 75 + 625 = 700

Upscale Home Painting: No Fixed Cost ; Variable Cost : $40x
Total Cost = 40(25) = 1,000

The most cost effective company will be Painting USA whose charge will amount to $700.
3 0
2 years ago
Consider the sequence 3, 6, 12, 24, 48, .... (a) Write a recursive rule to represent the sequence. (b) Write an explicit rule to
saveliy_v [14]

Answer:

  a. a[1] = 3; a[n] = 2a[n-1]

  b. a[n] = 3·2^(n-1)

  c. a[15] = 49,152

Step-by-step explanation:

Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.

The first term is 3, and the common ratio is 2.

<h3>(a)</h3>

The recursive rule is ...

  a[1] = 3

  a[n] = 2×a[n-1]

__

<h3>(b)</h3>

The explicit rule is ...

  a[n] = a[1]×r^(n-1)

  a[n] = 3×2^(n-1)

__

<h3>(c)</h3>

The 15th term is ...

  a[15] = 3×2^(15-1) = 3×2^14

  a[15] = 49,152

5 0
2 years ago
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