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3 years ago

I need help asap plz

Mathematics

1 answer:

sergiy2304 [10]3 years ago

5 0

Answer:

I can't see it's blury

Step-by-step explanation:

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Two scuba divers, Jim and Tara, are 20m apart below the surface of the water. They both spot a shark that is below them. The ang

LenaWriter [7]

Answer:

Jim is 12.87 meters away from the shark.

Step-by-step explanation:

We are given that,

Distance between Jim and Tara = 20 meters.

The angle of depression of the shark from Jim and Tara is 47° and 40° respectively as shown in the figure below.

So, the third angle of the triangle formed is given by,

47° + 40° + ∠S = 180°

i.e. ∠S = 180° - 87°

i.e. ∠S =93°

So, now using the sine ratio formula, we have,

$\frac{20}{\sin 93}=\frac{x}{\sin 40}$

i.e. $x=\frac{20\times 0.6428}{0.9986}$

i.e. $x=\frac{12.856}{0.9986}$

i.e. x = 12.87 meters

Thus, Jim is 12.87 meters away from the shark.

4 0

3 years ago

Bailey buys a car for $18,000 and it has a depreciation value of 16% per year after 3

sergiy2304 [10]

Answer:

$10668.67

Step-by-step explanation:

If the car value goes down 16% each year, after the first year, it will be worth 1520.

The next year, it will be worth $12700.80

After the third year, the car will be worth $10,668.67

5 0

2 years ago

Add. Write your answer as a mixed number in simplest form.

Natali5045456 [20]

Answer:

Please put the equation.

Step-by-step explanation:

7 0

3 years ago

If £25 = 800 rubles, how many £ are in 992 rubles?

katen-ka-za [31]

Answer:

£31

Step-by-step explanation:

25 = 800

x = 992

x = 992 x 25 / 800 = 31

3 0

2 years ago

NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the <u>zero-product property</u> and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the <u>second equation</u> and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

6 0

1 year ago

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