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2 years ago

What is the value of x?

Mathematics

1 answer:

maxonik [38]2 years ago

4 0

Answer:

Step-by-step explanation:

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1. Which graph models the equation y = 3.5x?

MAXImum [283]

1) is C because the line is increasing not decreasing and it goes up 7 & right 2.
2) the y-intercept is -2 and the slope is up 3 over 1, so the answer has to be B
3) the answer is A because the up 2 over 3
4) the y-intercept is a positive 4, and the slope is going down 3 and to the right 5, and the line is decreasing so you know it has to be negative. the answer is D

7 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

2 years ago

PLssssssssssssss help..

ddd [48]

Answer:

141.4

Step-by-step explanation:

i think

3 0

2 years ago

Find the Nth term of this number sequnce<br> 7,10,13,16

Strike441 [17]

$\text{It is an arithmetic series.}\\\\\text{First term,}~ a = 7\\\\\text{Common difference,}~ d=10 -7 = 3\\\\\text{Nth term} = a + (n -1) d\\\\~~~~~~~~~~~~~=7+(n-1)3\\\\~~~~~~~~~~~~~=7+3n-3\\\\~~~~~~~~~~~~~=4+3n$

3 0

2 years ago

The top surface of a world-record rectangular strawberry shortcake was 175.33 ft long and 48 inches wide. Use the formula for pe

saul85 [17]

Answer: 446.66

Explanation:
The formula for perimeter is 2 x length +2 x width
So you multiply 175.33 which gives you 350.66 and add it to 96 which gives you 446.66

4 0

3 years ago