All categories

2 years ago

Denis, Vera, and Yash are rock climbers. Yash is connected to Vera by a

Mathematics

2 answers:

grin007 [14]2 years ago

8 0

Answer:

$33.14\°$

Step-by-step explanation:

Let

Y ----> field of vision that Yash's camera would need

we know that

Applying the law of sines

$\frac{sin(Y)}{25}=\frac{sin(41\°)}{30}$

Solve for sin(Y)

$sin(Y)=\frac{sin(41\°)}{30}(25)$

$Y=sin^{-1}[\frac{sin(41\°)}{30}(25)]$

$Y=33.14\°$

Sphinxa [80]2 years ago

4 0

Answer:

The correct answer for khan Academy is also 33.14

Step-by-step explanation:

You might be interested in

One-fourth of the sum of 6 and 2 times cis 3

lidiya [134]

3/4 that really helpssssssss

7 0

2 years ago

Read 2 more answers

Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu

cluponka [151]

Answer:

Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is $x$ mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: $(x-18) mph$

We know that, $Time = \frac{Distance}{Speed}$

So, the time of driving in clear weather $=\frac{50}{x}$ hours

and the time of driving in thunderstorm $=\frac{16}{x-18}$ hours.

Given that, the total time for the trip is 1.5 hours. So, the equation will be......

$\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0$

Using zero-product property.........

$x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12$

We need to ignore $x=12$ here, otherwise the speed in thunderstorm will become negative.

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

3 0

2 years ago

A mountain bike originally priced at $929.00 is up for sale at a discount of 12%. What is the price of the mountain bike after t

Lyrx [107]

Answer:

Step-by-step explanation:

817.52 should be correct

4 0

2 years ago

Evaluate the algebraic expression for the given variable -x- -3,x=-5

Dvinal [7]

Here u go, u replace x by the number

6 0

2 years ago

Compare the scores: a score of 75 on a test with a mean of 65 and a standard deviation of 8 and a score of 75 on a test with a m

LiRa [457]

Answer:

The Zscore for both test is the same

Step-by-step explanation:

Given that :

TEST 1:

score (x) = 75

Mean (m) = 65

Standard deviation (s) = 8

TEST 2:

score (x) = 75

Mean (m) = 70

Standard deviation (s) = 4

USING the relation to obtain the standardized score :

Zscore = (x - m) / s

TEST 1:

Zscore = (75 - 65) / 8

Zscore = 10/8

Zscore = 1.25

TEST 2:

Zscore = (75 - 70) / 4

Zscore = 5/4

Zscore = 1.25

The standardized score for both test is the same.

7 0

2 years ago