HELPPPPPPPP MEEEEE!!!!!! PLZZZZZ

A rocket is launched from the ground and travels in a straight path. The angle of inclination of the rocket's path is 1.2 radian

gladu [14]

Answer:

a) $S=2.57$

b) $H=203.2yard$

c) $X=121.79yards$

Step-by-step explanation:

From the question we are told that:

Angle $\theta=1.2=68.755^o$

a)

Generally the equation for Slope is mathematically given by

$S=tan \theta$

$S=tan 68.755$

$S=2.57$

b)

Given the right Angle triangle with horizontal distance $x=85yard$

Generally the equation for Height traveled is mathematically given by

$H=tan\theta*x$

$H=2.57*85$

$H=218.45$

$H=203.2yard$

c)

Generally the equation for Horizontal Distance traveled at 313 height traveled is mathematically given by

$X=\frac{313}{tan65.75}$

$X=\frac{313}{2.57}$

$X=121.79yards$

3 0

2 years ago

1) Given P(A) = 0.3 and P(B) = 0.5, do the following.

Delicious77 [7]

Answer:

1) a) 0.8

b) 0.6

2) a) 0.08

b) 0.14

Step-by-step explanation:

1) Given

$P(A) = 0.3$ and $P(B) = 0.5$

Let us learn about a formula:

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

(a) If A and B are mutually exclusive i.e. no common thing in the two events.

In other words:

$P(A\ and\ B)$ = $P(A \cap B)$ = 0

Using above formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0 = \bold{0.8}$

(b) P(A and B) = 0.2

Using above formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0.2 = \bold{0.6}$

*************************************

1) Given

$P(A) = 0.4$ and $P(B) = 0.2$

Let us learn about a formula:

$P(A\ and\ B) = P(B) \times P(A/B)$ for dependent events

$P(A\ and\ B) = P(A) \times P(B)$ for independent events.

(a) If A and B are independent events :

Using the above formula for independent events:

$P(A\ and\ B) = 0.4 \times 0.2 = \bold{0.08}$

(b) $P(A / B) = 0.7$

Using above formula:

$P(A\ and\ B) = P(B) \times P(A/B) = 0.2 \times 0.7 = \bold{0.14}$

6 0

3 years ago

John has 14 boxes of apples. Each box holds 10 apples. If 8 of the boxes are full, and 6 of the boxes are half full, how many ap

cestrela7 [59]

The 8 full boxes have 80 apples (8x10) and the 6 half boxes have 30 apples (6x5).
So: 80+30=110

7 0

3 years ago

Read 2 more answers

The rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental. The graph shows points representi

____ [38]

Answer:

y = 20x + 40

Step-by-step explanation:

Given that the rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental.

That means fixed one time cost is $40 which doesn't changes with time.

If number of days is represented by "x" then rental cost for "x" days will be 20 times x or just 20x.

So the final cost will be sum of fixed cost and the rental cost per day which is:

20x+40

Now if "y" represents total rental cost over time then final cost equation can be written as:

y = 20x + 40

Hence final answer is y = 20x + 40y = 20x + 40.

8 0

3 years ago

Read 2 more answers

an item that cost $50 is marked 20% off. Sales tax for the item is 8%. What is the final price including tax? Solve the problem

kramer

Answer:

$43.20

Step-by-step explanation:

The price with tax is 100% + 8% = 1.08 times the price before tax. The discount multplies that price by 100% -20% = 0.80. The discount multiplier is the same whether the discount is applied before or after the tax.

The combined effect of the two multipliers is ...

... 1.08 × 0.80 = 0.864

so the discounted price with tax added is 0.864 × $50 = $43.20

_____

Perhaps you're supposed to figure the tax (8% of $50 = $4), add the tax ($50 +4 = $54), then subtract the discount (20% of $54 = $10.80) to get

$54.00 -10.80 = $43.20

6 0

3 years ago