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3 years ago

In following diagram BC is parallel to DE

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

4 0

Answer:can someone answer my question

Step-by-step explanation:

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Find the exact value of the trigonometric expression when

Vedmedyk [2.9K]

Part of the value of sin(u) is cut off; I suspect it should be either sin(u) = -5/13 or sin(u) = -12/13, since (5, 12, 13) is a Pythagorean triple. I'll assume -5/13.

Expand the tan expression using the angle sum identities for sin and cos :

tan(u + v) = sin(u + v) / cos(u + v)

tan(u + v) = [sin(u) cos(v) + cos(u) sin(v)] / [cos(u) cos(v) - sin(u) sin(v)]

Since both u and v are in Quadrant III, we know that each of sin(u), cos(u), sin(v), and cos(v) are negative.

Recall that for all x,

cos²(x) + sin²(x) = 1

and it follows that

cos(u) = - √(1 - sin²(u)) = -12/13

sin(v) = - √(1 - cos²(v)) = -3/5

Then putting everything together, we have

tan(u + v)

= [(-5/13) • (-4/5) + (-12/13) • (-3/5)] / [(-12/13) • (-4/5) - (-5/13) • (-3/5)]

= 56/33

(or, if sin(u) = -12/13, then tan(u + v) = -63/16)

5 0

3 years ago

What is the value of the expression below?

umka2103 [35]

Answer:

2.5

Step-by-step explanation:

(8+1/8) = 8.125

(2.5+3/4) = 2.5 + 0.75 = 3.25

8.125 / 3.25 = 2.5

6 0

3 years ago

store announced that their $500 appliances were on sale for $475 what is the percent discount on the appliances

Aleks04 [339]

Answer:

We are given that a store announced that their $500 appliances were on sale.

The price of the appliances after discount is $475.

We are required to find the percent discount on the appliances.

To find the percent discount, we have to use the below formula:

$\frac{(Actual-discounted)}{Actual} \times 100\%$

$\frac{500-475}{500}\times 100\%$

$\frac{25}{500} \times 100\%$

$0.05 \times 100\%$

$5\%$

Therefore, the percent discount on the appliances is 5%

6 0

4 years ago

Farmer Fran would like to build a chicken coop in order to raise chickens and sell their eggs. She determines that the area of t

Maru [420]

Answer:

The chicken coops needs to be atleast 25 feet in width.

Step-by-step explanation:

The chicken coop is in a shape of a rectangle.

Area of rectangle is given by length * width

Since, length is given as 12 ft and area is given as minimum 300 ft, the width can be found by substituting these values into the area formula:

$Area=Length*Width\\300=12*Width\\Width=\frac{300}{12}=25$

The chicken coops needs to be atleast 25 feet in width.

5 0

3 years ago

Graph y=sinx and y=cosx in the same viewing window. Which function could be the derivative of the other? Defend answer in terms

lesya [120]

Cos x is the derivative of sin x.

8 0

4 years ago