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3 years ago

In triangle ABC, AB = 6 cm, BC = 7cm, ∠B=3 0 . Then

Mathematics

1 answer:

Lynna [10]3 years ago

7 0

Answer:

i think you should search on the internet by copypasting. u will learn it too

Step-by-step explanation:

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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:

The height of the bullding is 717 ft

Step-by-step explanation:

Right Triangles

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

Y = f(x) = 2^x

Virty [35]

Answer:

The value of f(x) when x=-1 is 0.5

Therefore $f(-1)=0.5$

Step-by-step explanation:

Given that y=f(x)= $2^x$

to find the f(x) when x=-1 :

That is to find f(-1)

Put x=-1 in the given function f(x)= $2^x$

$f(-1)=2^{-1}$

$=\frac{1}{2}$

$=0.5$

Therefore $f(-1)=0.5$

The value of f(x) when x=-1 is 0.5

3 0

3 years ago

What are the rational numbers of -12,0,35,4.85,√12,√36,19/6,-10/11,1.4949949994

klemol [59]

All of those numbers are rational, except the square root of 12.

6 0

3 years ago

Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 away initially and save $10 ever

Alexxandr [17]

Answer:

Tina would save the same amount using either option after 20 months.

With either option, Tina would save $700.

Step-by-step explanation:

This problem can be modeled by a first order equation:

Where Tina's saved money after n months is:

S(n) = S(0) + rn, where S(0) is the money put away initially and r is how much she saves every month.

The first option is to put $500 away initially and save $10 every month, so:

$S_{1}(n) = 500 + 10n$

The second option is to put $100 away initially and save $30 every month, so:

$S_{2}(n) = 100 + 30n$

After how many months would Tina save the same amount using either option?

It will happen at the month n in which $S_{1}(n) = S_{2}(n)$ , so:

$S_{1}(n) = S_{2}(n)$

500 + 10n = 100 + 30n

500 - 100 = 30 - 10n

400 = 20n

20n = 400

$n = \frac{400}{20}$

n = 20.

Tina would save the same amount using either option after 20 months.

How much would she save with either option?

We can choose $S_{1}(20)$ or $S_{2}(20)$ , since they are equal

$S_{1}(20) = 500 + 10(20) = 500 + 200 = 700$

With either option, Tina would save $700.

3 0

3 years ago

. Identify the converse of the conditional statement. Determine the truth values of the original conditional and its converse. I

Cerrena [4.2K]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

The answer should be A which is:

If the measure of an angle is 90, then it is a right angle.
Original: true
Converse: true

p is angel is right
 q is its measure is 90
the statement is p then q so the converse is q then p

7 0

3 years ago