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SSSSS [86.1K]
3 years ago
13

I just need help with B. Please help me. I will mark Beainliest.

Mathematics
2 answers:
IRISSAK [1]3 years ago
6 0
Here we have to find the length of arc AB.

Length of an arc = ( central angle/360)×2 πr

= ( 64.6 / 360 ) × 2 × 5 miles × 22 / 7

= 0.179 × 220 miles / 7

= 39.38 miles / 7

= 5.625 miles.

The required answer is 5.625 miles.
kari74 [83]3 years ago
5 0
Remark
The circumference of a complete circle = 2*pi*r
A part of the circumference = k * 2* pi * r / 360 where k is the measure of any central angle.

Givens
k = 64.6 degrees
r = 5 miles

Formula
Walking distance = k/360 * 2 * pi * r

Sub and Solve
Walking Distance = (64.6/360) * 2 * 3.14 * 5
Walking distance = 5.6346 miles
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11. You plan to bake "apple crisp" for a dinner party you are hosting. Your recipe serves four
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Answer:

2.5 teaspoon.

Step-by-step explanation:

4 serve recipe need cinnamon = 1 tsp

1 serve recipe need cinnamon = 1/4 tsp

10 serve recipe need cinnamon = 1/4 * 10

                                                      = 10/4

                                                      = 2.5 tsp

7 0
3 years ago
Select the correct answer. Function f is an exponential function that has an initial value of 64 and decreases by 50% as x incre
lozanna [386]

9514 1404 393

Answer:

  D. Both functions are decreasing at the same average rate on that interval

Step-by-step explanation:

The dashed lines on the attached graph of the two functions (f in red, g in purple) represent the average rate of change of each function on the interval. The lines are parallel, because the average rate of change is the same for each of the functions on that interval.

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Function f decreases by 60 units from f(0) = 64 to f(4) = 4 on the interval x = [0, 4]. Function g decreases by 60 units from g(0) = 75 to g(4) = 15 on the same interval. The average rate of change is the amount of decrease divided by the interval width. Those values are the same for both functions.

3 0
3 years ago
Read 2 more answers
A point $(x, y)$ with integer coordinates is randomly selected such that $0 \le x \le 8$ and $0 \le y \le 4$. what is the probab
ahrayia [7]

Answer:

\frac{1}{3}

Step-by-step explanation:

A point (x, y) with integer coordinates is randomly selected such that 0 \le x \le 8 \:and\: $0 \le y \le 4$.

The possible pairs of (x,y) are:

(0,0),(0,1),(0,2),(0,3),(0,4)

(1,0),(1,1),(1,2),(1,3),(1,4)

(2,0),(2,1),(2,2),(2,3),(2,4)

(3,0),(3,1),(3,2),(3,3),(3,4)

(4,0),(4,1),(4,2),(4,3),(4,4)

(5,0),(5,1),(5,2),(5,3),(5,4)

(6,0),(6,1),(6,2),(6,3),(6,4)

(7,0),(7,1),(7,2),(7,3),(7,4)

(8,0),(8,1),(8,2),(8,3),(8,4)

The Total Possible Outcomes n(S)= 45

The pair (x, y) that satisfies the given condition (say event A: x + y \le 4) are:

(0,0),(0,1),(0,2),(0,3),(0,4)\\(1,0),(1,1),(1,2),(1,3)\\(2,0),(2,1),(2,2)\\(3,0),(3,1)\\(4,0)

n(A)=15

Therefore:

P(A)=\frac{n(A)}{n(S)} =\frac{15}{45} =\frac{1}{3}

5 0
3 years ago
Write the explicit rule of the arithmetic sequence that has a first term of 3 and a fourth term of 18
mr Goodwill [35]

Answer:

a_{n} = 5n - 2

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 18 , then

a₁ + 3d = 18 , that is

3 + 3d = 18 ( subtract 3 from both sides )

3d = 15 (divide both sides by 3 )

d = 5

Then

a_{n} = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule

5 0
2 years ago
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bulgar [2K]

Answer:

76.64 hope this helps!

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