Ask question

Ask question

All categories

3 years ago

8

Can someone help me out please?? I would really appreciate it.

1 answer:

Firdavs [7]3 years ago

4 0

Answer:

C: x = 5 and y = (5√3)/2

Step-by-step explanation:

Looking at the triangle, we can use trigonometric ratios to find x and y since it's a right angled triangle.

Thus;

(5/2)/x = sin 30

x = (5/2)/½

x = 5

Similarly, (5/2)/y = tan 30

tan 30 in surd form is 1/√3

Thus;

(5/2)/y = 1/√3

y = 5/2 × √3

y = (5√3)/2

You might be interested in

Can someone answer this? 27/12 + 3/? = 21/8 (

allsm [11]

50 becacause there is 27 and you need to add it all together

8 0

3 years ago

Point p is the midpoint of DE. DP =3x + 2 and DE = 10x - 12. What is the length of DP

shepuryov [24]

If P <span>is the midpoint of DE then
DE = 2(DP)
10x - 12 = 2(3x + 2)
10x - 12 = 6x + 4
10x - 6x = 4 + 12
4x = 16
x = 16/4
x = 4

DP = 3x + 2 = 3 * 4 + 2 = 12 + 2 = 14 units</span>

6 0

3 years ago

Read 2 more answers

Mark A machine has two parts labeled A and B. The probability that part A works for one year is 0.8 and the probability that par

Mrrafil [7]

Answer:

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6.

This means that $P(A) = 0.8, P(B) = 0.6$

The probability that at least one part works for one year is 0.9.

This means that: $P(A \cup B) = 0.9$

We also have that:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

So

$0.9 = 0.8+0.6 - P(A \cap B)$

$P(A \cap B) = 0.5$

Calculate the probability that part B works for one year, given that part A works for one year.

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.8} = 0.625$

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

3 0

2 years ago

Use long division to divide x^3+x^2-2x+14 by x+3

bekas [8.4K]

First, $x^3=x^2\cdot x$ , and if we multiply $x+3$ by $x^2$ we get

$x^3+3x^2$

Subtracting this from the numerator gives a remainder of

$-2x^2-2x+14$

Next, $-2x^2=-2x\cdot x$ , and if we multiply $x+3$ by $-2x$ we have

$-2x^2-6x$

and subtracting this from the previous remainder, we end up with a new remainder of

$4x+14$

Next, $4x=4\cdot x$ , and if we multiply $x+3$ by $4$ we get

$4x+12$

Subtracting from the previous remainder, we get a new remainder of

$2$

which contains no more factors of $x$ , so we're done.

So,

$\dfrac{x^3+x^2-2x+14}{x+3}=x^2-2x+4+\dfrac2{x+3}$

8 0

3 years ago

Can someone please help me it’s a quiz and idk what to do!!!! pls

Sindrei [870]

Answer:

plot a point at (0,-8) and another one at (5,-7)

Step-by-step explanation:

connecting the dots would create the slope

7 0

3 years ago

Read 2 more answers