All categories

3 years ago

If BC = 3x, CD = 7x, and BD = 10, what is BC?

Mathematics

1 answer:

blsea [12.9K]3 years ago

5 0

Answer:

BC= 3

Step-by-step explanation:

Suppose a line BD is 10 and it has a point C somewhere on the line. It is given that BC is 3times and CD is 7 times or algebraically if we take x as a variable then according to the given information

BC+ CD= BD

3x+ 7x= 10

10x= 10

x= 10/10

x= 1

3x would give 3 (1)= 3

Hence the Line BC = 3

and the line CD= 7

You might be interested in

Solve the following Simultaneous equation Using any suitable method x+6y=2, 3x +2y =10

uranmaximum [27]

Answer:

x = 0.5

y = -1/4 or -0.25

Step-by-step explanation:

x + 6y = 2

3x + 2y = 10

Multiply a number by any of the equations to get numbers of the same variable

3x + 18y = 6

3x + 2y = 10

3x - 3x = 0

NB: subtract evenly if u subtract down from top make sure u subtract down from top throughout

16y = -4

16y/16 = -4/16

y = -1/4 or -0.25

to find the x value, any where you see y u put in the y value(-0.25)

So u'll pick just one of the equations above

x + 6(0.25) = 2

x + 1.5 = 2

x = 1.5 + 2

x = 0.5

5 0

3 years ago

Identify the reference angle

ser-zykov [4K]

Answer:

Below in bold.

Step-by-step explanation:

300 degrees - reference angle is |360 - 300 |= 60 degrees

225 = 225 - 180 = 45 degrees

480 = 480 - 360 = 120 so it is 180 - 120 = 60 degrees.

-210 = |-210 + 180| = 30 degrees.

7 0

2 years ago

Please help I’ll mark brainliest

denpristay [2]

Answer:

166.27 m2

Step-by-step explanation:

area of hexagon = $\frac{3*\sqrt{3} }{2}$ * $a^{2}$ where a = length of 1 side

this hexagon is made of 6 equivalent triangle

consider ABC triangle

let AC length be x

AB = 2 * AC = 2x = a

$bc^{2} = ab^{2} - ac^{2} \\(4\sqrt{3})^{2} =(2x)^{2} - x^{2} \\48=3*x^{2}\\ 16=x^{2} \\x=4$

Hence a = 8

hence area of hexagon = $\frac{3*\sqrt{3} }{2}$ * $a^{2}$ = $\frac{3*\sqrt{3} }{2}$ * $8^{2}$ = 166.27 m2

3 0

3 years ago

find the volume of a cylinder with a diameter of 10 inches and a height that is 3 times the radius. Use the 3.14 for pie and rou

Paul [167]

Answer:

1177.5 inches

Step-by-step explanation:

Volume of a cylinder = $\pi r^{2} *h$ , where h is the height

Radius = 10/2 = 5 radius is half the diameter

Height = 3*5 = 15 height is 3 times the radius

V = 3.14 * (5^2) * (15)

= 3.14 *25 * 15

= 1177.5

6 0

3 years ago

A small airline overbooks flights on the assumption that several passengers will not show up. Suppose that the probability that

olchik [2.2K]

We have 22 tickets sold, and 20 seats. This means that at least 2 passengers must not show up (otherwise, at least 21 passengers will be present, and there wouldn't be space for them).

Considering each passenger as independent, you can think of this experiment. Suppose you toss a coin for each passenger. If the coin lands on heads, the passenger shows up. If it lands on tails, the passenger doesn't show up.

But the coin is unfair: it has a 0.91 probability of landing on heads, and thus 0.09 probability of landing on tails.

This implies that the probability of having exactly $k$ tails is

$\binom{22}{k} \cdot 0.09^k \cdot 0.91^{22-k}$

We already concluded that at least two passengers must not show up. So, if our coins lands on tails less than twice, we've lost. So, the losing probability is

$\displaystyle\binom{22}{0}\cdot 0.09^0 \cdot 0.91^{22} + \binom{22}{1}\cdot 0.09^1 \cdot 0.91^{21} \approx 0.39$

Finally, remember the rule to negate events:

$P(E) = 1-P(\lnot E)$

So, if we lose with probability 0.39, we win with probability

$1-0.39 = 0.61$

6 0

3 years ago