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Vanyuwa [196]
3 years ago
8

Calculate the length of the bold arc

Mathematics
1 answer:
Over [174]3 years ago
4 0

Answer: length of arc is 44 cm.

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 8 cm

Angle subtended by the bold arc,θ = 315 degrees

Therefore,

Length of arc = 315/360 × 2 × 3.14 × 8

Length of arc = 44 cm rounded up the nearest whole number.

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34 and 6 then multiply by 3
iogann1982 [59]

Answer:

34+6×3= 52

Step-by-step explanation:

1- 34+6×3= 34+18 (always multiply before subtracting or adding)

2- 34+18= 52 (now add)

6 0
3 years ago
A local theatre sells out for their show. They sell all 500 tickets for a total purse of $7,920.00. The tickets were priced at $
Arte-miy333 [17]

Answer:

number of children ticket sold = 70

number of adult ticket sold = 70 × 3 = 210

number of student ticket sold = 500 - 4(70) = 500 - 280 = 220

Step-by-step explanation:

A local theater sells out their show. They sell all 500 tickets for a total of $7920 .00 .  The total number of ticket sold is 500.

let

Number of children ticket sold = a

Adult ticket sold = 3a

Student ticket sold = 500 - 3a - a = 500 - 4a

Total cost = 7920

7920 = 12(a) + 15(500 - 4a) + 18(3a)

7920 = 12a + 7500 - 60a + 54a

collect like terms

7920 = 12a - 60a + 54a + 7500

7920 - 7500 = 6a

420 = 6a

divide both sides by 6

a = 420/6

a = 70

number of children ticket sold = 70

number of adult ticket sold = 70 × 3 = 210

number of student ticket sold = 500 - 4(70) = 500 - 280 = 220

8 0
3 years ago
Find the general form of the equation for the quadratic that passes through the points (2,5) and (4,10)
astraxan [27]

Answer:

The answer to your question is  5x - 2y = 0

Step-by-step explanation:

Data

A (2, 5)

B (4, 10)

Process

1.- Determina the slope of the line

slope = m = (y2 - y1)  / (x2 - x1)

   x1 = 2   y1 = 5   x2 = 4  y2 = 10

-Substitution

            m = (10 - 5) / (4 - 2)

-Simplification

            m = 5/2

2.- Find the equation of the line in the general form

            y - y1 = m(x - x1)

-Substitution

            y - 5 = 5/2(x - 2)

-Simplification

           2(y - 5) = 5(x - 2)

           2y - 10 = 5x - 10

           5x - 2y - 10 + 10 = 0

-Result

           5x - 2y = 0

4 0
4 years ago
Is this right? Question isn’t below!
Angelina_Jolie [31]

Answer:

yes

Step-by-step explanation:

IM new plz add me brainless did the math

8 0
4 years ago
Read 2 more answers
Find the exact value of the trigonometric expression given that sin(u) = -(3/5),
GuDViN [60]

Recall that

\cot(u+v)=\dfrac{\cos(u+v)}{\sin(u+v)}=\dfrac{\cos u\cos v-\sin u\sin v}{\sin u\cos v+\cos u\sin v}=\dfrac{\cot u\cot v-1}{\cot v+\cot u}

Also, recall that for all \theta,

\cos^2\theta+\sin^2\theta=1

With \frac{3\pi}2, we can expect \cos u>0, and with 0, \sin v>0. So from the above identity it follows that

\cos u=\sqrt{1-\sin^2u}=\dfrac45\implies\cot u=\dfrac{\cos u}{\sin u}=-\dfrac43

and

\sin v=\sqrt{1-\cos^2v}=\dfrac8{17}\implies\cot v=\dfrac{\cos v}{\sin v}=\dfrac{15}8

and so

\cot(u+v)=\dfrac{-\frac43\frac{15}8-1}{\frac{15}8-\frac43}=\boxed{-\dfrac{84}{13}}

6 0
3 years ago
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