In which group of numbers is each number a multiple of 4?

A rectangular area of land is being sold off in smaller pieces. The total area of the land is 2^15 square miles. The pieces bein

Nesterboy [21]

Total area of the rectangular land = 2^15 sq. miles
= 32768 sq. miles

total area of the pieces being sold = 8^3 sq. miles
= 512 sq. miles

now total no. of pieces = total area of the land / the area of samaller land that's being sold
= 32768 / 512
= 64

so the actual number of pieces is 64

4 0

2 years ago

Read 2 more answers

If $17,800 is invested at an interest rate of 8% per year, find the value of the investment at the end of 5 years for the follow

marta [7]

Answer:

7120

Step-by-step explanation:

6 0

2 years ago

H (t) = 2t - 2 g(t) = 4t + 5 Find (h(g(t))

ASHA 777 [7]

Answer:

$h(g(t))=8t+8$

Step-by-step explanation:

We are given the two functions:

$h(t)=2t-2\text{ and } g(t)=4t+5$

And we want to find:

$h(g(t))$

So, by substitution, we acquire:

$h(g(t))=2(4t+5)-2$

Distribute:

$h(g(t))=8t+10-2$

Simplify:

$h(g(t))=8t+8$

5 0

2 years ago

Find the area of the figure. Round to the nearest tenth if necessary. 5.5 ft 6 ft 8 ft

bogdanovich [222]

Answer:

21 savage

Step-by-step explanation:

8 0

1 year ago

There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to

Kitty [74]

<h2>Hello!</h2>

The answer is:

The height of the lightning rod is 27.4 feet.

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

$tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}$

To the top of the lightning rod:

$tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}$

Now, isolating we have:

$tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet$

Also, we have that:

$tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet$

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

$LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet$

Rounding to the nearest foot, we have:

$LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet$

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0

2 years ago