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4 years ago

Evaluate tan(Sin-1(-5/13)). Answer as a fraction please.

1 answer:

3 0

Using pythagorean identities,tan(sin^-1(-5/13))= tan(arcsin(-5/13))

Let A = arcsin(-5/13) = -arcsin(5/13)

Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12

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Plz help me 75 points for the 2 questions!!!

liraira [26]

Answer:

<u>The system of equations:</u>

2x + 7y = -11
3x + 5y = -22

Solve by elimination.

<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>

3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
6x + 21y - 6x - 10y = -33 + 44
11y = 11
y = 1

2x + 7*1 = -11
2x = -11 - 7
2x = -18
x = -9

<u>The solution is:</u>

x = -9, y = 1

<u>Simplifying in steps:</u>

8u - 29 > -3(3 - 4u)
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3 years ago

One teacher wants to give each student 7 over 9 of a slice of pizza. If the teacher has 7 slices of pizza, then how many student

Anna007 [38]

Total = 7 slices.
1student = 7/9 of a slice.

Total number of students:

$7 \div \dfrac{7}{9}$

$= 7 \times \dfrac{9}{7}$

$= 9$

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Answer: She will be able to hand out to 9 students.
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3 0

3 years ago

A submarine starts at sea level and travels to a position that is a little lower than −24 feet. Use the drop-down menus to compl

Black_prince [1.1K]

Answer:

The submarine's position means the distance it traveled is greater than 24 feet
A possible position of the submarine is -27 feet

Step-by-step explanation:

Distance is generally a positive number. (Displacement, or position may be negative, as in this case.) If the sub started at 0 feet and went lower than -24 feet, it traveled a distance of more than 24 feet (greater than 24 ft).

Of the numbers listed, the only one lower than -24 is -27.

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4 years ago

F(x) = x2+3x+2 x2+5x+4 Why is there no zero at x = –1?

dmitriy555 [2]

You could rewrite $F(x)$ as

$\dfrac{x^2+3x+2}{x^2+5x+4}=\dfrac{(x+1)(x+2)}{(x+1)(x+4)}$

and be tempted to cancel out the factors of $x+1$ . But this cancellation is only valid when $x\neq-1$ .

When $x=-1$ , you end up with the indeterminate form $\dfrac00$ , which is why $-1$ is not a zero.

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4 years ago

Abigail withdrew $15 from checking account. Write an integer to represent the situation.

aleksandrvk [35]

Answer:

-5

Step-by-step explanation:

Withdrawing means subtracting

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2 years ago