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3 years ago

Please help me with these two problems

Mathematics

1 answer:

vodka [1.7K]3 years ago

8 0

First pic ; they are complementary angles , so C !!

second pic ; both angles are supplementary angles !! as sum is 180° !!

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ACT help!!

DaniilM [7]

g) c=1.98w is your answer

w = weight = 5.5

c = cost = 10.89

10.89 = 1.98(5.5)

10.89 = 10.89 (true)

hope this helps

8 0

3 years ago

When a decimal is written in word form, what indicates whether the number can be written as a mixed number or as a fraction less

vekshin1

9514 1404 393

Answer:

"and"

Step-by-step explanation:

Properly written, the word "and" separates the integer portion from the fractional portion of the number. If there is no "and", then there is no integer portion, so the number is a fraction less than 1.

<u>Examples</u>:

one <em>and</em> three tenths = 1 3/10

thirty-one thousandths = 31/1000

8 0

3 years ago

If someone can pls give the answer with steps that would be greatly appreciated :)

AleksAgata [21]

Answer:

Step-by-step explanation:

Let C be the number of correct answers

Let B be the number of questions not answered

Let W be the wrong answers

Total = 2*C + B - W

It's a trinomial. There are three unrelated terms.

5 0

3 years ago

How many minutes does the teach

Anastaziya [24]

Assuming that's a 40 minutes a lesson the minutes the tennis teacher teaches in a week is 800 minutes

4 0

4 years 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

3 years ago