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allsm [11]
2 years ago
15

I need help showing my work

Mathematics
1 answer:
UkoKoshka [18]2 years ago
5 0

Hope this was helpful

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Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

\displaystyle \tan 82^\circ=\frac{h}{100}

Solving for h:

h = 100\tan 82^\circ

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0
3 years ago
X-3 (x+2) is less than 4x
lapo4ka [179]

no it is more than 4x it is 6x

6 0
3 years ago
A committee consisting of 3 faculty members and 5 students is to be formed. Every committee position has the same duties and vot
Lemur [1.5K]

Answer:

In 16170 ways the committee can be formed.

Step-by-step explanation:

3 faculty members and 5 students are required to form a committee.

The eligible to serve on the committee are 7 faculty members and 11 students.

If each committee position has the same duties and voting rights.

Then, the number of ways of selecting 3 faculty members out of 7 eligible faculty members is ^7C_{3} = 35.

Again, the number of ways of selecting 5 students out of 11 eligible students is given by ^{11}C_{5} = 462.  

Therefore, in (35 × 462) = 16170 ways the committee can be formed. (Answer)

5 0
3 years ago
Jimmy can run 3.5 miles in 20 minutes. how far can ne run in one hour and ten minutes?
prisoha [69]

Hello There!

Before we start, I am going to divide 3.5 by 2 because then we can multiply by 7 to see how far Jimmy can run in 70 minutes.

Jimmy can run 1.75 miles in 10 minutes.

To find out how many miles he can run in 70 minutes, we just multiply 1.75 by 7 and we get a product of 12.25

Jimmy Can Run 12.25 Miles In 70 Minutes

5 0
3 years ago
angelo rode his bike around a bike trail that was 1/4 of a mile long.he rode his bike around thetrail 8 times.Angelo says he rod
forsale [732]
Hi there!

From this problem we can pull out some key information and remove any excess.

- The trail is 1/4 of a mile long.
- Angelo rode around the trail 8 times.
- Angelo claims he rode 8/4 miles.
- Teresa claims he rode 2 miles.

From that we know that if Angelo rode around the trail 8 times and the trail is 1/4 a mile, he in total rode 8/4 of a mile.

However, Teresa claims he rode 2 miles!

And the answer is... they're both correct!

Angelo did indeed ride 8/4 miles however that is equivalent to 2 miles so they are both in the right.
7 0
3 years ago
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