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3 years ago

What is the area of a sector with a central angle of 4π3 radians and a diameter of 7.3

Mathematics

1 answer:

julsineya [31]3 years ago

5 0

The answer in terms of pi would be 13.3225pi. And the full answer would be 41.83265.

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Given the function k(t) = 6t − 9, complete the following Solve k(t) = 21.

ELEN [110]

Answer: 5(k)

Step-by-step explanation: “k”times “t” equals 6t-9 so if “k” times “t” equals 21, 6t-9=21, add 9 to 21 which equals 30 so then you divide 30 by 6 to get 5. “t”=5 which means the solution is 5(k)

(I’m just a sixth grader dont blame me if I couldn’t do this)

7 0

3 years ago

a cell phone company plans to market a new smartphone. they have already sold 612 units durning the first week of the campaign.

Vadim26 [7]

The first term is 612.

The common ratio is 1.08 and

The recursive rule is $a_{n} = a^{n-1} \times r$

Step-by-step explanation:

the question to the problem is to write the values of the first term, common ratio, and expression for the recursive rule.

The first term :

In geometric sequence, the first term is given as $a_{1}$ .

⇒ $a_{1} = 612$

Now, the geometric sequence follows as 612, 661, ........

The common ratio (r) :

It is the ratio between two consecutive numbers in the sequence.

Therefore, to determine the common ratio, you just divide the number from the number preceding it in the sequence.

⇒ r = 661 divided by 612

⇒ r = 1.08

To find the recursive rule :

A geometric series is of the form a,ar,ar2,ar3,ar4,ar5........

Here, first term $a_{1} = a$ and other terms are obtained by multiplying by r.

Observe that each term is r times the previous term.
Hence to get nth term we multiply (n−1)th term by r .

The recursive rule is of the form $a_{n} = a^{n-1} \times r$

This is called recursive formula for geometric sequence.

We know that r = 1.08 and $a_{1}$ = 612.

To find the second term $a_{2}$ , use the recursive rule $a_{n} = a^{n-1} \times r$

⇒ $a_{2} = a^{2-1}\times r$

⇒ $a_{2} = a^{1}\times r$

⇒ $a_{2} = 612\times 1.08$

⇒ $a_{2} = 661$

3 0

3 years ago

What is the value of the x variable in the solution to the following system of equations?

Elden [556K]

-2 (x-2y=-5)

-2x+4y=10
2x+3y=4
0+7y=14
/7. /7
y=2

2x+3 (2)=4
2x+6=4
-6. -6
2x=-2
/2. /2
x=-1

6 0

3 years ago

Now write the number is standard form ?

chubhunter [2.5K]

Step-by-step explanation:

$(2 \times 10) + (6 \times 1) + (9 \times \frac{1}{1000} ) \\ \\ =20 +6+ (9 \times 0.001 ) \\ \\ = 26 + 0.009 \\ \\ = 26.009$

4 0

3 years ago

Read 2 more answers

An architect is sketching a blueprint of a patio for a new fence. On the blueprint, C is the midpoint of segment AD. Point B is

Gre4nikov [31]

Answer:

The length of AD is 32 feet

Step-by-step explanation:

Proportional distances

When distances are proportions of others, we can express all of them as relative fractions until we reach some known distance and solve for the desired length

Let's call x the length of AD. Given C is the midpoint of AD, then

$\displaystyle AC=CD=\frac{x}{2}$

Given B is the midpoint of AC, then

$\displaystyle AB=BC=\frac{AC}{2}=\frac{x}{4}$

If we know BC=8 feet

$\displaystyle \frac{x}{4}=8\ feet$

$\displaystyle x=32\ feet$

The length of AD is 32 feet

4 0

3 years ago