Can someone help me answer some of these questions?

baherus [9]

Answer:

The fastest runner is Katie

Step-by-step explanation:

In order to determine this, we must first put them all in the same terms. For the purpose of this, we will put them all in feet per second.

Katie

14 feet/1 second = 14 ft per second

Zach

576 feet/46 seconds = 12.52 ft per second

Tony

1 mile/533 seconds = 5280 feet/533 seconds = 9.91 ft per second

Will

827 feet/1 minute = 827 feet/60 seconds = 13.78 ft per second.

So we know that the fastest is Katie.

3 0

3 years ago

Biểu diễn 1 ràng buộc trên mặt phẳng tọa độ Oxy là

Leona [35]

Step-by-step explanation:

yah kaun se language mein likha hai aapane

8 0

3 years ago

Katherine Johnson is best known for her work on ________.

Mila [183]

Answer:

Pretty sure she was best known for calculating flight paths of spacecraft.

7 0

2 years ago

Please help me with this

Free_Kalibri [48]

Answer:

See photo

Step-by-step explanation:

We can fill out many of these pretty easily. Look at the picture below. (Black numbers represent what information they already gave us)

Now, for the actual math.

If a total of 46 seventh-graders were surveyed and 28 seventh-graders spent more than an hour on their phone, then that means that there would have to be 46-28=18 students that spend less than an hour on their phone.

If there are 43 total students that spend more than an hour on their phone, and 28 of those are seventh-graders, then there are 43-28=15 eighth-graders that spend more than an hour on their phone

Then, if there are 27 total eighth-graders, and 15 of those spend more than an hour, then that leaves 27-15=12 eighth-graders that spend less than an hour on their phone.

Lastly, figure out the total numbers.

There are 18 seventh-graders and 12 eighth-graders that spend less than an hour on their phone, so there is a total of 18+12 = 30 students that spend less than an hour on their phone.

There are a total of 46 seventh-graders and 27 eighth-graders that were surveyed, which is a total of 73 students surveyed.

6 0

3 years ago

A hot air balloon is flying at an altitude of 800 feet. A passenger takes a picture of the top of a tree and estimates that the

nalin [4]

The height of the tree given the depression angle to the top and the base

is given by the tangent relationship of the two given angles.

Correct response:

The height of the tree is approximately <u>79.58 feet</u>

<h3 /><h3>Methods used for the calculation of the height of the tree</h3>

Given:

Altitude of the hot air balloon = 800 feet

Angle of depression to top of tree = 43°

Angle of depression to base of tree = 46°

Required:

Height of tree

Solution:

The horizontal distance of the balloon from the tree is given as follows;

$\displaystyle tan(46^{\circ}) = \frac{Altitude \ of \ balloon}{Horizontal \ distance \ from \ tree} = \mathbf{\frac{800 \, feet}{Horizontal \ distance \ from \ tree}}$

Therefore;

$\displaystyle Horizontal \ distance \ of \ balloon \ from \ tree = \frac{800 \ feet}{tan(46^{\circ})}$

$\displaystyle tan(43^{\circ}) = \mathbf{\frac{Height \ of \ balloon \ above \ tree}{\dfrac{800 \, feet}{tan(46^{\circ})} }}$

Therefore;

$\displaystyle Height \ of \ balloon \ above \ tree = tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})}$

Height of tree = Altitude of balloon - Height of balloon above tree

Therefore;

$\displaystyle Height \ of \ tree = 800 \, feet - tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})} \approx \underline{ 79.58 \, feet}$

Learn more about angle of elevation and depression here:

brainly.com/question/1978238

4 0

2 years ago