write the equation of a line whose slope is -2 and passes through (-1,6). write the answer in slope-intercept form

The angle of elevation of a tower, 45 m high from a ball on the ground 52 degree (a) how far is the ball from the foot of the to

blsea [12.9K]

The distance of the ball from the foot of the tower is : 35.18m

The ball would be moved 57.2m away from the foot of the tower for the Angle of elevation to be halved.

<h3>What is angle of elevation?</h3>

Angle of elevation is the angle formed between the horizontal and the line of view from the vertical.

Analysis:

The height of the tower and the distance of the ball from the foot of the tower form a right angle triangle.

so we use trigonometry.

a) let distance of the ball from foot of tower be x.

so that, tan 52 = 45/x

x = 45/tan52

x = 45/1.279 = 35.18m

b) let the distance of the ball in the new position from the foot of the tower be y.

if the angle of elevation is halved, then new angle is 52/2 = 26°

tan 26 = 45/y

y = 45/tan26 = 45/0.487 = 92.4m

distance moved from old position to new position = 92.4 - 35.18 = 57.2m

In conclusion, the distance of the ball from the foot of the tower and the distance the ball should move to make its elevation 26° are 35.18m and 57.2m respectively.

Learn more about angle of elevation: brainly.com/question/88158

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4 0

1 year ago

Mrs Thomas played a game. Her score changed the same amount each round. After 3 rounds, her score had changed by -18 points. How

lisabon 2012 [21]

Answer: -6

Step-by-step explanation: It changed -6 each round because -6x3=-18.\

Hope this helped!

5 0

3 years ago

Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log4 45

tiny-mole [99]

Answer:

Common logarithm

$log_451= \frac{log_1_045}{log_1_08}$

Natural logarithms

$log_445= \frac{log_e45}{log_e4}$

or

$log_445= \frac{In45}{In4}$

Step-by-step explanation:

From the question we are told that

$Log_445$

Generally converting log from base x to base 10 si mathematically represented as

$log_xa=log_1_0a *log_x10$

$log_xa= \frac{log_1_0a}{log_1_0x}$

Therefore

Common logarithm

$log_451= \frac{log_1_045}{log_1_08}$

Generally Natural logarithms $log_ex\ or\ inx$ is mathematically represented as

$log_xa= \frac{log_ea}{log_ex}$

Therefore

Natural logarithms

$log_445= \frac{log_e45}{log_e4}$

or

$log_445= \frac{In45}{In4}$

6 0

3 years ago

Maisie has three times as many CDs as Ken. ken has twice as many CDs as Jo. Jo has more than 10 CDs. What is the least number of

STatiana [176]

Answer:

Least number is 60.

Step-by-step explanation:

Let the number of CDs has Jo be represented by x + 10. Where x = 0, 1, 2, 3....

Then, since Ken has twice as many CDs as Jo, the number of CDs that Ken has can be expressed as;

2(x + 10) = 2x + 20

Maisie has three times as many CDs as Ken, then the number of CDs that Maisie has can be expressed as;

3(2x + 20) = 6x + 60

Thus to determine the least number of CDs that Maisie can have, let x = 0.

3(2x + 20) = 6x + 60

= 6(0) + 60

= 60

Therefore, the least number of CDs that Maisie can have is 60.

3 0

3 years ago

Michael Beasley is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next

Elodia [21]

Answer: C. $0.75^4$

Step-by-step explanation:

Let x be the binomial variable that denotes the number of makes.

Since each throw is independent from the other throw , so we can say it follows Binomial distribution .

So $X\sim Bin(n=4 , p=0.75)$

Binomial distribution formula: The probability of getting x success in n trials :

$P(X=x)=^nC_xp^n(1-p)^{n-x}$ , where p = probability of getting success in each trial.

Then, the probability of Michael Beasley making all of his next 4 free throw attempts will be :

$P(X=4)=^4C_4(0.75)^4(1-0.75)^{0}$

$=(1)(0.75)^4(1)\ \ [\because\ ^nC_n=1]\\\\=(0.75)^4$

Thus, the probability of Michael Beasley making all of his next 4 free throw attempts is $=0.75^4$

Hence, the correct answer is C. $0.75^4$ .

4 0

3 years ago