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Nata [24]
3 years ago
7

I need help with number 14

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
8 0

Answer:

radius = 7.0

Step-by-step explanation:

length of arc* 360/ 285 = circumference

-> 34.8 *360/285 = 43.957 cm

circumference = 2*pi*radius

-> 43.957 = 2* 3.14 * radius

->radius = 6.99996 = 7.0 cm

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Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.
Gnoma [55]
3 x^{2}  y^{2} -2x y^{2} -8 y^{2}  \\ = 3 x^{2}  y^{2} -6x y^{2}+4x
 y^{2} -8 y^{2}  \\ =(3 x^{2}  y^{2} -6x y^{2})+(4x y^{2} -8 y^{2}) \\ 
=3xy^{2} (x-2)+4 y^{2}(x-2) \\ =(3xy^{2}+4 y^{2})(x-2) \\ = y^{2} 
(3x+4)(x-2)
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3 years ago
Name the shapes that make up the Texas state flag. Are any of the shapes regular polygon?
zimovet [89]
No, none of the shapes are regular. A regular shape is one that has all equivalent sides and equal angles
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3 years ago
What is the slope of the line with the following equation?<br><br> <img src="https://tex.z-dn.net/?f=2x%2B3y%3D2" id="TexFormula
KengaRu [80]

QUESTION

Your equation is 2x+3y=2 and you need to find the slope.

EXPLANATION

There are many ways to find the slope with an equation like this. I'm going to change the equation into slope-intercept form.

Slope-intercept form is formatted like this:

y=mx+b

m represents the slope. The first thing you need to do is leave 3y alone to change the equation into slope-intercept form. That means you need to subtract 2x from both sides.

2x+3y=2 \rightarrow 3y=2-2x\ or\ 3y=-2x-2

The next thing you need to do is leave y alone, just like the slope-intercept form example. To leave y alone, you need to divide 3y by 3.

\frac{3y}{3}=\frac{-2x-2}{3} \\ \\ y=-\frac{2}{3}x-\frac{2}{3}

Now the equation has been changed to slope-intercept form. In the equation, m has been replaced by -\frac{2}{3}, which means that is your answer.

Answer: -\frac{2}{3}

5 0
3 years ago
Read 2 more answers
A tree is 4 1/2 feet tall, it is expected to grow by 1 3/4 feet per year at this rate how long will it take for the tree to have
Levart [38]

Answer:

Approximately

n = 21 years

Step-by-step explanation:

Original height of the tree = 4 1/2 feet

Final height of the tree = 40 feet

Common difference = 1 3/4 feet per year

The data shows the question is an arithmetic progression

Tn = a + (n-1) d

Tn = 40

a = 4 1/2

d = 1 3/4

n = ?

Tn = a + (n-1) d

40 = 4 1/2 + ( n - 1) 1 3/4

40 = 9/2 + (n - 1) 7/4

40 = 9/2 + 7/4n - 7/4

40 = 18-7/4 + 7/4n

40 = 11/4 + 7/4n

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160-11/4 = 7/4n

149/4 = 7/4n

Divide both sides by 7/4

n = 149/4 ÷ 7/4

= 149/4× 4/7

= 149/7

n = 21.29 years

Approximately

n = 21 years

8 0
3 years ago
Grace drew a triangle with sides of equal length. Its measured with sides of 3 cm. What is the perimeter of the triangle?
Otrada [13]

Answer:

9 cm explained to

Step-by-step explanation:

explained that

4 0
3 years ago
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