All categories

3 years ago

Pls help me with this multiple choice !

Mathematics

1 answer:

lana66690 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

$\sin(60) = \frac{6 \sqrt{3} }{x} \\ x = \frac{6 \sqrt{3} }{ \sin(60) } = 12 \\ \tan(60) = \frac{6 \sqrt{3} }{y} \\ y = \frac{6 \sqrt{3} }{ \tan(60) } = 6$

You might be interested in

Solve and check 8-(6-8x) =4x+4

navik [9.2K]

Greetings!

"Solve and check $8-(6-8x)=4x+4$ "...

Solve for x:
 $8-(6-8x)=4x+4$
Remove the Parenthesis.
$8-6-8x=4x+4$
Simplify.
$2-8x=4x+4$
Add -4 to both sides.
$(2-8x)+(-4)=(4x+4)+(-4)$
Simplify.
$-2-8x=4x$
Add 8x to both sides.
$(-2-8x)+8x=(4x)+8x$
Simplify.
$-2=12x$
Divide both sides by 12.
$(-2)/12=(12x)/12$
Simplify.
$-0.166666667=x$

The answer is: x=-0.166666667

Hope this helps.
-Benjamin

7 0

3 years ago

Please answer asap!!

fredd [130]

Answer:

Step-by-step explanation:

6 is about halfway to 16

21 is about halfway to 56

they meet up, which makes the line the most accurate

Yw :D

7 0

3 years ago

Find the length of CU, the triangles are similar.

Otrada [13]

Answer:

CU = 117

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{WC}{WU}$ = $\frac{CD}{UV}$

substituting in values to the ratios

$\frac{26}{36x-1}$ = $\frac{24}{132}$ ( cross- multiply )

24(36x - 1) = 3432 ( divide both sides by 24 )

36x - 1 = 143 ( add 1 to both sides )

36x = 144 ( divide both sides by 36 )

x = 4

CU = 36x - 1 - 26 = (36 × 4) - 27 = 144 - 27 = 117

3 0

3 years ago

Find the value of x

Kay [80]

Answer:

Step-by-step explanation:

$\left(6x+4\right)+10x=180$

$16x+4-4=180-4$

$16x=176$

$\frac{16x}{16}=\frac{176}{16}$

$x=11$

6 0

3 years ago

A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s

Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

$P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0$

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

$P_K=3P_T\\\\P_K-3P_T=0$

Finally, we know that the sum of probablities has to be 1, or 100%.

$P_Q+P_K+P_T=1$

We can solve this by sustitution:

$P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6$

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

$P_K+P_Q=0.6+0.2=0.8$

8 0

3 years ago