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Vitek1552 [10]
3 years ago
14

Determine the equation of the circle that contains the point A(1,-3) , B(3,3), C(9,1)

Mathematics
1 answer:
alexandr402 [8]3 years ago
4 0
I think C is your answer

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Determine the simple interest on an account paying 5.5% annually interest of an investment of 20,650
Karo-lina-s [1.5K]
I=prt
I=20,650×0.055×1
I=1,135.75
5 0
4 years ago
A boat sails on a bearing of 038°anf then 5km on a bearing of 067°.
I am Lyosha [343]

This question is not complete

Complete Question

A boat sails 4km on a bearing of 038 degree and then 5km on a bearing of 067 degree.(a)how far is the boat from its starting point.(b) calculate the bearing of the boat from its starting point

Answer:

a)8.717km

b) 54.146°

Step-by-step explanation:

(a)how far is the boat from its starting point.

We solve this question using resultant vectors

= (Rcos θ, Rsinθ + Rcos θ, Rsinθ)

Where

Rcos θ = x

Rsinθ = y

= (4cos38,4sin38) + (5cos67,5sin67)

= (3.152, 2.4626) + (1.9536, 4.6025)

= (5.1056, 7.065)

x = 5.1056

y = 7.065

Distance = √x² + y²

= √(5.1056²+ 7.065²)

= √75.98137636

= √8.7167296826

Approximately = 8.717 km

Therefore, the boat is 8.717km its starting point.

(b)calculate the bearing of the boat from its starting point.

The bearing of the boat is calculated using

tan θ = y/x

tan θ = 7.065/5.1056

θ = arc tan (7.065/5.1056)

= 54.145828196°

θ ≈ 54.146°

7 0
3 years ago
Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees. Parallelogram P Q R S is shown.
ch4aika [34]

Answer:

20°

Step-by-step explanation:

the sum of the angles gives 180°

20+2x+6x=180

20+8x=180°

8x=180-20

x=160°÷8°

x=20°

thank you!

7 0
3 years ago
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What is the simplified value of the expression below?<br><br> 12.4 x (negative 6.3)
MrRa [10]

Answer:

78.12

Step-by-step explanation:

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3 years ago
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Devin is collecting signatures for a petition to open a new park in her town. She needs to collect at least 1,000 signatures bef
san4es73 [151]

Answer:

B) 8 ≤ p

Step-by-step explanation:

1000 - 380 = 620

620 / 80 = 7.75

Round it up to 8

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3 years ago
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