MATHEMATICS COLLEGE

Find AC
What Is The Equation To AC?

Answers

Answer 1

Answer:

Given:

Given that ABC is a right triangle.

The length of AB is 7 units.

The measure of ∠A is 65°

We need to determine the length of AC

Length of AC:

The length of AC can be determined using the trigonometric ratio.

Thus, we have;

$cos \ \theta=(adj)/(hyp)$

Where the value of $\theta$ is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.

Substituting the values, we have;

$cos \ 65^(\circ)=(AC)/(AB)$

Substituting AB = 7, we have;

$cos \ 65^(\circ)=(AC)/(7)$

Multiplying both sides by 7, we get;

$cos \ 65^(\circ) * 7=AC$

$0.423 * 7=AC$

$2.961=AC$

Rounding off to the nearest hundredth, we get;

$2.96=AC$

Thus, the length of AC is 2.96 units.

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What is the present value of a $1,600 payment made in five years when the discount rate is 10 percent?

Answers

Answer:

Present value is $993.47

Step-by-step explanation:

PV = present value

Fv = future value = $1,600

Discount (i) = 10%

N = Years = 5

The formula for this is given by:

PV = FV/(1 + i)^N

PV = $1600/(1 + 0.10)^5

PV = $1600/1.1^5

PV = $1600/1.61051

PV = $993.47

Can someone pleaseeee help its urgent

Answers

Based on the given information, we can determine the characteristics of the polygon MNOP.

1. MN || OP and NO || PM:

- This means that the opposite sides MN and OP are parallel, and the opposite sides NO and PM are also parallel.

2. m/M = 93°, m/N = 87°, m/O = 93°, m/P = 87°:

- These angle measurements indicate that the opposite angles M and O are congruent, as well as the opposite angles N and P.

Based on these characteristics, we can conclude that the polygon MNOP is a parallelogram. A parallelogram is a quadrilateral with opposite sides that are parallel. In addition, opposite angles of a parallelogram are congruent.

However, we cannot determine from the given information whether the polygon MNOP is specifically a rectangle, rhombus, square, or trapezoid. These classifications require additional information, such as side lengths or angle measures, to be determined.

Therefore, the correct answers are:

- Parallelogram

- Quadrilateral

Please note that rectangle, rhombus, square, and trapezoid cannot be confirmed based on the given information.

Determine whether and are parallel, perpendicular, or neither. W(–4, 5), X(8, –1), Y(6, –2), Z(1, –7)

Answers

Answer: The question is that of Line WX and YZ are parallel or perpendicular, not WZ and XY unlike the other given answer.

THE ANSWER IS NEITHER

Step-by-step explanation:

See moc up i made. The two lines don't even intersect, I.E the answer is neither!

Answer:

You have not mentioned the joining points so I have joined the points WZ and XY and plotted in the graph. It seems that the lines WZ and XY are perpendicular.

any help would be great

Answers

Answer:

k = P - m - n

Step-by-step explanation:

The question is asking you to rearrange the equation so that k is alone on one side.

P = k + m + n

P - k = (k + m + n) - k

P - k = m + n

(P - k) - P = m + n - P

-k = m + n - P

-1(-k) = -1 (m + n - P)

k = -m - n + P

The equation is completely simplified so this is your answer.

If the exterior angel of a triangle measures 130 degrees, then what is the sum of the non-adjacent interior angles of that triangle. please answer this question