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Natalija [7]
3 years ago
8

(1) What is the circumference of a circle that has a radius of 3cm ?

Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

1. 6 cm

2. 34.6 cm

Step-by-step explanation:

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6. The diagram on the right shows the cross-section of a cylindrical pipe with water lying in the bottom. a) If the maximum dept
riadik2000 [5.3K]

Answer:

404 cm³ Anyway... Look down here for my explanation.

Step-by-step explanation:

Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.

We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)

44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°

The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.

Shaded area 88.8/360*area of circle - ½*7*788.8°

= 88.8/360*π*7² - 24.5*sin 88.8°

13.5 cm²

(using area of ∆ = ½.a.b.sin C for the triangle)

Volume of water = cross-sectional area * length

13.5 * 30 cm³

404 cm³

6 0
2 years ago
Write the equation of the line in fully simplified slope intercept form
aleksandrvk [35]

Answer:

y = 3x - 8

Step-by-step explanation:

m = slope

slope = y2 - y1 / x2 - x1

4 - 1 / 4 - 3 = 3/1 = 3

m = 3

b = y-intercept

b = -8

y = mx + b

y = 3x + (-8)

y = 3x - 8

4 0
2 years ago
What equation can I make out of this problem
Ghella [55]
5(4)+5x=60
x=8
x= number of pies the club made
7 0
3 years ago
Let FICA tax rates be 7.65% on the first $127,200 of income from wages, and 1.45% on any income from wages in excess of $127,200
malfutka [58]

Answer:

The tax is split between employers and employees. They both pay 7.65% (6.2% for Social Security and 1.45% for Medicare) of their income to FICA, the combined contribution totaling 15.3%. The maximum taxable earnings for employees as of 2020 is $137,700.

<em>Correct </em><em>me </em><em>if</em><em> </em><em>you </em><em>want</em><em> </em><em>If </em><em>its </em><em>wrong</em>

5 0
3 years ago
A área de um retângulo é igual a 44, sabendo que as suas medidas são iguais a 4 e (3x+2), calcule a medida do lado maior deste r
jekas [21]

Responda:

11

Explicação passo a passo:

Área do retângulo = comprimento * largura

Dado

Comprimento = 4

Largura = 3x + 2

Área = 44

Substitua na fórmula e obtenha x

44 = 4 (3x + 2)

44 = 12x + 8

12x = 44-8

12x = 36

x = 36/12

x = 3

Obtenha os lados mais longos

Lado mais longo = 3x + 2

Substitua x = 3

Lado mais comprido = 3 (3) + 2

Lado mais comprido = 11

Portanto, a medida do lado mais longo deste retângulo é 11

4 0
3 years ago
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