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4 years ago

An airplane pilot sights a life raft at a 26° angle of depression. The airplane's altitude

Mathematics

1 answer:

Mamont248 [21]4 years ago

7 0

Answer:

Choice B. 6 km.

Step-by-step explanation:

We see this is a right triangle.

The height of this right triangle is 3 km and the angle adjacent to the height leg of the triangle is (90 - 26 ) degrees = 64 degrees.

We want the distance d which is the leg opposite 64 degrees.

tan 64 = d / 3 km ;

d = 3 * tan 64 = 3 * 2.0503038 km = 6.1509 km

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At the beginning of its route, a garbage truck accelerates at 10ms2 as it is driven down the road. By the end of the route, the

Dmitry [639]

Answer:

$2.5\ m/s^2$

Step-by-step explanation:

Newton's Second Law: Force on a body is equal to the product of mass and acceleration of the centre of the mass of the body.

$Force(F)=Mass(m)\times Acceleration(a)$

Initially:

$Let\ mass=m\ kg\\\\acceleration=10\ m/s^2\\\\Force(F)=m\times 10=10m$

At the end of the road:

$Let\ mass=4\times m\ kg\\\\acceleration=a\ m/s^2\\\\Force(F)=4m\times a=4ma$

$Both\ forces\ are\ equal\\\\4ma=10m\\\\divide\ both\ the\ sides\ by\ m\\\\4a=10\\\\a=\frac{10}{4}\\\\a=2.5\ m/s^2$

8 0

3 years ago

What is the unit rate of 3.5 miles in 1.25 hours

snow_lady [41]

3.5 miles / 1.25 hours = 2.8 mph

3 0

4 years ago

Mary is making pillows for her Life Skill class. She bought 2 ½ yards of fabric. Her total cost was $15. What was the cost per y

BigorU [14]

Answer:

15 divided by 2 1/2

Step-by-step explanation:

$6 per yard.

4 0

3 years ago

Paper plates cost $8 per package and plastic utensils cost $5 per package. Your supplier delivers 15 packages for a total cost o

Fittoniya [83]

To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages.
First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages.
Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.

To find our x, substitute the y in 8x + 5y = 90 to get
8x + 5(15 - x) = 90
Distribute: 8x + 75 - 5x = 90
Combine the X's and subtract the 75: 3x = 15
Divide the 3: x = 5

Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.

So, you have delivered 5 paper plate packages and 10 utensil packages.

8 0

3 years ago

What is the slope of the linear graph in simplest form ?

Nady [450]

Answer:

2/1

Step-by-step explanation:

Slope = 2

up 2, right 1

rise over run

7 0

3 years ago

Read 2 more answers