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Rasek [7]
2 years ago
5

Two ships leave a harbor together traveling

Mathematics
1 answer:
Andrew [12]2 years ago
5 0

Answer:

use cosine law

x^2 = 543^2 + 543^2 - 2(543)(543cos 128°

solve for x

Step-by-step explanation:

You might be interested in
A company has 6582 to give out in bonuses. An amount is to be given out equally to each of 32 employees A manger Jake has reason
just olya [345]

Answer:

His estimate is not correct

Each employee gets 205.6875

Step-by-step explanation:

Bonus to give out = 6582

Number of employees to get bonus = 32

Bonus per employee = Total bonus / number of employees

= 6582 / 32

= 205.6875

Each employee will get 205.6875 contrary to manger Jake reasoning of 2000 per employee

manger Jake reasoning

6572 / 32

32 in 65 = 2 remainder 1

He added 000 zeros to 2 which is wrong

He should have added 00 zeros to 2 because he has 172 remaining after dividing 65 by 32

5 0
3 years ago
Read 2 more answers
If the interval (a, ∞) describes all values of x for which the graph of 4/x^2-6x+9 is decreasing, what is the value of a?
harkovskaia [24]

Answer:

a = - 1.1

Step-by-step explanation:

Condition for a single variable function f(x) to be decreasing is f'(x) < 0.

So, in our case, f(x) = \frac{4}{x^{2}} - 6x + 9.

Then, differentiating with respect to x on both sides we get,

f'(x) = 4(- 2)\frac{1}{x^{3}} - 6 < 0

⇒ - \frac{8}{x^{3}} - 6 < 0

⇒ \frac{8}{x^{3}} + 6 > 0

{Dividing both sides with - 1 and hence the inequality sign changes}

⇒ \frac{8}{x^{3}} > - 6

⇒ 8 > - 6x³ {Multiplying both sides with x³}

⇒ 6x³ > - 8 {Interchanging the sides}

⇒ x^{3} > - \frac{8}{6}

⇒ x > - 1.1

Therefore, a = - 1.1. (Answer)

5 0
3 years ago
Read 2 more answers
Brianna left the bookstore traveling 32 mph. Then 3.2 hours later, Sonya left traveling the same direction at 44.8 mph. How long
Lostsunrise [7]

Answer:

8 hours

Step-by-step explanation:

Let t hours be the time needed Sonya to catch up Brianna.

Sonya:

Time = t hours

Rate = 44.8 mph

Distance =D_S miles

Brianna

Time =t+3.2 hours

Rate = 32 mph

Distance =D_B miles

Note that D_S=D_B, because Sonya must catch up Brianna.

Use formula D=r\cdot t

Hence,

44.8t=32(t+3.2)

Solve this equation:

44.8t=32t+32\cdot 3.2\\ \\44.8t-32t=102.4\\ \\12.8t=102.4\\ \\t=8

3 0
3 years ago
Use the dot product to find |v| when v= (-8, 2)
8090 [49]

Answer:

It is (8, 2)

Step-by-step explanation:

The lines make it positive

7 0
4 years ago
Question one:
alekssr [168]
The first step would be to subtract 5 from both sides. We have to leave x alone so subtract five from both sides which will leave us with x=22

For the next one we would have to divide 3 by -4 to get w=1.3 Infinite so the 3 would have a small dash on top.
8 0
3 years ago
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