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2 years ago

Rewrite the parametric equations in Cartesian form: X(t) = -3sin t, y(t) = 3 cos t

Mathematics

1 answer:

Alisiya [41]2 years ago

4 0

Hi the answer is 9sin ur welcome Hope this helps have a great day

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In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD

dmitriy555 [2]

Answer:

The area of parallelogram ABCD is $78.42 \mathrm{in}^{2}$

Explanation:

Given:

AD = 12 in

$m \angle C=46^{\circ}$

$m \angle D B A=72^{\circ}$

To Find:

The area of parallelogram ABCD=?

Solution:

When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.

The area of the parallelogram can be calculated by $a b * \sin (a n g l e)$

Substituting the value of a=12 we have

$\text { Area of parallelogram }=12 * \text { bsin } 46$

<u>To find the value of b, </u>

We know that area of a triangle can be expressed as,

$\text { Area of triangle }=(A b / 2) \sin (\text {angle})$

So,

$(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72$

Cancelling BD and 2 on both sides we get,

$12 * \sin 46=A B * \sin 72$

$A B=12 * \frac{\sin 46}{\sin 72}$

Therefore,

$b=\frac{12 \sin 46}{\sin 72}$

Substituting the value of b,

$=12 *\left(\frac{12 \sin 46}{\sin 72}\right) * \sin 46$

=78.42

So the area of the parallelogram is $78.42 \mathrm{in}^{2}$

6 0

3 years ago

Read 2 more answers

GUYS AM I CORRECT?? I WILL MARK U BRAINLEST IF I GET IT RIGHT

Paul [167]

Answer:

Yes you are correct.

6 0

2 years ago

Read 2 more answers

Can you please help me

Mandarinka [93]

Answer: Attached.

Step-by-step explanation:

Either solve the equations directly, or graph them and look for the point of intersection.

8 0

2 years ago

If y varies directly as x and y = 144 when x = 12, what is the value of y when x = 17?

olasank [31]

Direct variation:
$y=kx$

y=144 when x=12.
$144=12k \\ k=\frac{144}{12} \\ k=12$

y=? when x=17.
$y=12 \times 17 \\
y=204$

y=204 when x=17.

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3 years ago

What is the letter v

Nimfa-mama [501]

Answer:

Step-by-step explanation:

-81=-5(v+5)-2v Original equation

-81=-5v-25-2v Distributive property

-81=-7v-25 Subtract like terms

-56=-7v Simplify

8=v Simplify

4 0

3 years ago

Rewrite the parametric equations in Cartesian form: X(t) = -3sin t, y(t) = 3 cos t​

Rewrite the parametric equations in Cartesian form: X(t) = -3sin t, y(t) = 3 cos t