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Vitek1552 [10]
3 years ago
13

One pound of swordfish costs as much as 1.5 pounds of salmon. Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish.

Find the ratio of the amount of money Mrs. O pays for the swordfish to the amount of money she pays for the swordfish.
Mathematics
1 answer:
Sonbull [250]3 years ago
4 0
For every 2 pounds of salmon she pays for she will get 3 pounds of sword fish with it. 2 to 3 or 2/3 are different ways to Write a ratio for this problem.
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The area of parallelogram WXYZ is approximately 45 square units.
neonofarm [45]

Answer:

Option (4)

Step-by-step explanation:

Area of a triangle = \frac{1}{2} (a.b.\text{Sin}\theta)

Where a and b are the sides of a triangle and θ is the angle between the sides a and b.

By this rule,

Area of ΔWZY = \frac{1}{2}(\text{WZ}).(\text{YZ}).\text{Sin}(115)

45 = \frac{1}{2}(\text{YZ}).(10).\text{Sin}(115)

9 = (YZ).Sin(115)°

YZ = \frac{9}{\text{Sin}(115)}

YZ = 9.93

Perimeter of parallelogram WXYZ = WX + XY + YZ + WZ

                                                         = 9.93 + 10 + 9.93 + 10

                                                         = 39.86

                                                         ≈ 40 units

Therefore, perimeter of the parallelogram is 40 units.

Option (4) is the answer.

4 0
2 years ago
a port and a radar station are 2 mi apart on a straight shore running east and west. a ship leaves the port at noon traveling no
Rom4ik [11]

Answer:

The rate of change of the tracking angle is 0.05599 rad/sec

Step-by-step explanation:

Here the ship is traveling at 15 mi/hr north east and

Port to Radar station = 2 miles

Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles

Therefore the ship, port and radar makes a triangle with sides

2, 7.5 and x

The value of x is gotten from cosine rule as follows

x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04

x = 6.25 miles

By sine rule we have

\frac{sin A}{a} = \frac{sin B}{b}

Therefore,

\frac{sin 45}{6.25} = \frac{sin \alpha }{7.5}

α = Angle between radar and ship α

∴ α = 58.052

Where we put

\frac{sin 45}{6.25} = \frac{sin \alpha }{x} to get

\frac{x}{6.25} = \frac{sin \alpha }{sin 45} and differentiate to get

\frac{\frac{dx}{dt} }{6.25} = cos\alpha\frac{\frac{d\alpha }{dt}  }{sin 45}

\frac{15sin45 }{6.25cos\alpha } =\frac{d\alpha }{dt}  }= 3.208 degrees/second = 0.05599 rad/sec.

6 0
3 years ago
Write the missing powers<br> of 10.<br> _____x0.005 = 5
pentagon [3]

Answer:

its 0.45

Step-by-step explanation:

4 0
3 years ago
The fact your family Drove from Arizona to Malibu ,California to spend a week at the beach they drove
prisoha [69]
To solve this question, you need to do 421 divided by 9.

421 divided by 9 will get you a long number, which is 46.7777778.

Round your number up by the hundredths place. You will get 46.78.

The average speed in miles per hour would be 46.78 MPH.
6 0
2 years ago
Solve for x:
astraxan [27]
The answer for this question is 8
7 0
2 years ago
Read 2 more answers
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