All categories

3 years ago

Find the lengths of side BC. Give your answer to 3 significant figures.

Mathematics

1 answer:

Alinara [238K]3 years ago

4 0

Step-by-step explanation:

since we are required to find side |BC| and the value of side |AB| is given as 6.3 cm

hence we find the cosine of the given angle...

cos71 = adjacent ÷ hypotenuse

cos71 = |AB| ÷ |BC|

cos 71 = 6.3 ÷ |BC|

|BC| = 6.3 ÷ 0.325

|BC| = 19.4 cm

You might be interested in

30 POINTS AVAILABLE

kherson [118]

Answer:

$\large\boxed{(x-2)^2+(y-1)^2=34}$

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

3 0

3 years ago

mark has a board that is 12 feet long. he cuts the board into 8 pieces that are the same lenghth. how long is each piece?

Anna71 [15]

(12 ft) / 8 = 1.5 ft = 1 foot 6 inches

3 0

3 years ago

How many solutions does the system have? 5x−y=2 5x−y=−2

romanna [79]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Kyle spends an equal amount of money each day. After 4 days, he had 4/5 of his money left. After another 10 days he had $30 left

Elden [556K]

4 days spending equal amounts so if x is how much he spends per day and y is the original amount then 4x=1/5y bc he has 4/5 left meaning what he spent was 1/5 of the original and after 10 more days which was 14 total he spent all but 30 so the total minus 30 will be how much kyle spent so
14x=y-30 which is y=(14x+30) and substitute that in for y in 4x=1/5y so 4x=1/5 (14x+30)
20x=14x+30
6x=30
x=5 and plug that in either of the original equations 4(5)=1/5y
y=100
so he had $100 and spent $5 per day

4 0

3 years ago

Read 2 more answers

A company with n employees publishes an internal calendar, where each day lists the employees having a birthday that day. What i

lutik1710 [3]

Answer: $1-(\frac{364}{365})^n$

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_xp^x(1-p)^x$ , where P(x) is the probability of getting success in x trials, n is the total number of trials and p is the probability of getting success in each trial.

We assume that the total number of days in a particular year are 365.

Then , the probability for each employee to have birthday on a certain day :

$p=\dfrac{1}{365}$

Given : The number of employee in the company = n

Then, the probability there is at least one day in a year when nobody has a birthday is given by :-

$P(x\geq1)=1-P(x$

Hence, the probability there is at least one day in a year when nobody has a birthday = $1-(\frac{364}{365})^n$

5 0

3 years ago