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2 years ago

Solve proportion, if necessary round to nearest hundredth.

Mathematics

2 answers:

dimulka [17.4K]2 years ago

7 0

Answer:

B=-3

Step-by-step explanation:

Multiply diagonally then simplify

polet [3.4K]2 years ago

5 0

The answer is b=-3 .

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A trapezoid has an area of 30 in2. If the lenghts of the bases are 4.8 and 5.2 in, what is the lenght?

harkovskaia [24]

Looking for the height, if trapezoid area equals (a+b)/2 x h then h = 2A/(a+b)
so h = 2(30)/(4.8+5.2) = 6

3 0

2 years ago

A police helicopter is flying at 150 mph at a constant altitude of 0.5 mile above a straight road. The pilot uses radar to deter

natali 33 [55]

Answer:

a) (see attached picture)

b) d, h, velocity of helicopter, dd/dt

in the direction oposite to the movement of the helicopter.

Step-by-step explanation:

In order to solve this problem we must start by drawing a diagram that will represent the situation (see attached picture). As you may see, there is a right triangle being formed by the helicopter, the car and the graound. We can use this to build the equation we are going to use to model the problem.

$d^{2}=h^{2}+x^{2}$

we can use this equation to find the value of x at that very time, so we can do that by solving the equation for x, so we get:

$x=\sqrt{d^{2}-h^{2}}$

and substitute the given values:

$x=\sqrt{(1)^{2}-(0.5)^{2}}$

which yields:

x=0.866mi

we know that the height of the helicopter is going to be constant, so we rewrite the equation as:

$d^{2}=(0.5)^{2}+x^{2}$

$d^{2}=0.25+x^{2}$

Next, we can go ahead and differentiate the equation so we get:

$2d\frac{dd}{dt}=2x\frac{dx}{dt}$

which can be simplified to:

$d\frac{dd}{dt}=x\frac{dx}{dt}$

we can next solve the equation for dx/dt so we get:

$\frac{dx}{dt}=\frac{d}{x}*\frac{dd}{dt}$

so we can now substitue te provided values so we get:

$\frac{dx}{dt}=\frac{1}{0.866}*-190$

so we get:

$\frac{dx}{dt}=-219.40mph$

the negative sign means that the x-value is decreasing.

now, this problem deals with relative velocities, so we get that:

Velocity of car about the helicopter = Velocity of the car - Velocity of the helicopter. Or:

$V_{ch}=V_{c}-V_{h}$

so we can solve this for the actual velocity of the car, so we get:

$V_{c}=V_{ch}+V_{h}$

so we get:

$V_{c}=-219.40mph+150mph$

which yields:

$V_{c}=-69.4mph$

So it has a velocity of 69.4mph in a direction oposite to the helicopter's movement.

4 0

2 years ago

Your friend has 5 more then twice as many game tokens as your sister. Let T be the number of game tokens your sister has. Write

olga_2 [115]

5+2t because 5 more then is adding 5 and twice as many is doubling or multiplying by 2
Hope this helps and please rate as brainliest!!! thx!!! ;)

6 0

2 years ago

Read 2 more answers

What is fourteen pounds 50 increased by 7 percent

Lesechka [4]

I believe it is 53.5<span />

3 0

2 years ago

Round 11 580 to 3 significant figures

Dmitriy789 [7]

11,580 to 3 significant figures
Currently, the value has 5 significant figures ( inclusive of 0 )
next to 5, there is 8 and 8 > 5, so 5 rounds up
1.16 x 10⁴

8 0

2 years ago