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ValentinkaMS [17]
3 years ago
7

PLS HELP! TWO MATH QUESTIONS

Mathematics
2 answers:
zepelin [54]3 years ago
5 0
There is a formula that relates the arc length of a circle of radius, r, to the central angle ,θ in radians. S = r(θ) where S is arc length, r is radius, and θ is the central angle.

So substituting into the formula for the first question we have: 5.4=6(θ) and solving for θ we get 0.9

Now for the second question substituting into the formula we have:
S = 6(\frac{3 \pi }{2})

Solving this for S we find the arc length to be 9π
Ksivusya [100]3 years ago
3 0
Yeah I'm not sure but I think it's 6
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Find the equation of the line that passes through (–3, 2) and the intersection of the lines x–2y=0 and 3x+y+5=0.
ipn [44]

Answer:

\frac{19}{7}x+\frac{11}{7}y+5=0

Step-by-step explanation:

the intersection of x-2y=0 and 3x+y+5 is (\frac{-10}{7};\frac{-5}{7})

=> the line : \frac{19}{7}x+\frac{11}{7}y+5=0

7 0
3 years ago
Read 2 more answers
Line segment YV of rectangle YVWX measures 24 units.
Anna [14]

Answer: 8√3

<u>Step-by-step explanation:</u>

ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b.  So,

VW = b

XW = b√3

XV = 2b

Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,

24 = b√3

\frac{24}{\sqrt{3}} = \frac{b\sqrt{3}}{\sqrt{3}}

\frac{24}{\sqrt{3}} = b

\frac{24}{\sqrt{3}}(\frac{\sqrt{3}}{\sqrt{3}}) = b

\frac{24\sqrt{3}}{3} = b

8√3 = b

We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3

7 0
3 years ago
Which of the following is a radical equation?<br> X+ V5 = 12<br> x² = 16<br> 3+ x^7=13<br> 7-14
MrRissso [65]
The second one is the correct answer
5 0
3 years ago
G(x) = x2 - 2x +3 for g
user100 [1]

Answer:

Since  

x

is on the right side of the equation, switch the sides so it is on the left side of the equation.

x

2

−

2

x

+

3

=

G

(

x

)

Multiply  

G

by  

x

.

x

2

−

2

x

+

3

=

G

x

Subtract  

G

x

from both sides of the equation.

x

2

−

2

x

+

3

−

G

x

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values  

a

=

1

,  

b

=

−

2

−

G

, and  

c

=

3

into the quadratic formula and solve for  

x

.

−

(

−

2

−

G

)

±

√

(

−

2

−

G

)

2

−

4

⋅

(

1

⋅

3

)

2

⋅

1

Simplify.

Tap for more steps...

x

=

2

+

G

±

√

G

2

+

4

G

−

8

2

The final answer is the combination of both solutions.

x

=

2

+

G

+

√

G

2

+

4

G

−

8

2

x

=

2

+

G

−

√

G

2

+

4

G

−

8

2

Step-by-step explanation:

5 0
3 years ago
Help its due in 15 mins ​
Anton [14]

Answer:

\sqrt{44} = 2\sqrt{11}

Step-by-step explanation:

Apply pythagorean theorem:

ABD is a right triangle with angle ADB = 90

hence AD = \sqrt{AB^{2} - BD^{2}  } where BD = 10 because it is half of BC

AD = \sqrt{12^{2}-10^{2}  } = \sqrt{44} = 2\sqrt{11}

8 0
2 years ago
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