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Kryger [21]
3 years ago
11

a new flagpole needs to be 54ft high and the old flagpole is 15m high, how many meters taller does the new flag need to be? roun

d to the nearest tenth.
Mathematics
1 answer:
Elena L [17]3 years ago
7 0
It would need to be 16.4592 meters higher which rounds to 16 meters rounded to the nearest tenth
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Solve the equation. 9x−(3x+9)=2x−25 Select the correct choice below and fill in any answer boxes in your choice. A. The solution
nataly862011 [7]

Answer: Choice A, x=-4

Step-by-step explanation:

1. 9x−(3x+9)=2x−25

2. 9x-3x-9=2x-25

3. 6x-9=2x-25

4. 6x-9=2x-25  

   -2x          -2x

5. 4x-9=-25

       +9    +9

6. 4x=-16 (divide both sides by 4)

7. x=-4

7 0
3 years ago
A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the
creativ13 [48]

Answer:

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

2r+s=18

s=r \theta

2r+r \theta=18

solve for r

r=\frac{18}{2+\theta}

step 2

Find the value of s

s=r \theta

substitute the value of r

s=\frac{18}{2+\theta}\theta

step 3

we know that

The area of complete circle is equal to

A=\pi r^{2}

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}

substitute the value of r

A=\frac{(\frac{18}{2+\theta})^2\theta}{2}

A=\frac{162 \theta}{(\theta+2)^2}

Convert to function notation

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

6 0
4 years ago
Jonah types 120 words per minute if her rate is constant how long will it take her To type a 600 word essay
adelina 88 [10]

Answer: 5 minutes.

Step-by-step explanation:

120 words = 1 min

600 words = 5 mins

(divide the 120 by 600 and you’ll end up getting 5 minutes)

7 0
3 years ago
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Ariel wants to write 8 entries for her blog. After 2 hours, she has 5 entries left. After 4 hours, she has 2 entries left. Which
Komok [63]
After 2 hours she wrote 3 entries.
after 4 hours she wrote 6 entries.
This means that for same period she is writing same number of entries which means her "writing speed" is constant.
that means that graph is linear function (straight line).

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y = k*x
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3 0
3 years ago
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What is the approximate length of AB? <br><br>​
liq [111]

Answer:

2

Step-by-step explanation:

1. go to desmos Graphing calculator and select graphing calculator

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5. It should give you your answer

6 0
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