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dlinn [17]
2 years ago
11

Simplify as far as possible.13cos (180° + x)sin (360° - X)sin (360° + x)cos (180° - x)​

Mathematics
1 answer:
KengaRu [80]2 years ago
6 0

Answer:

See below

Step-by-step explanation:

cos (180 + x) = - cos x

sin (360 + x) = sin x

sin 360 - x) = -sin x

cos (180 - x) = - cos x

3cos (180° + x)sin (360° - X) = -3cos x (- sin x) = 3 cosx sinx

sin (360° + x)cos (180° - x)​ = sin x (- cos x) = -sinx cosx

3cos (180° + x)sin (360° - X)sin (360° + x)cos (180° - x)​

= 3 cosx sinx (-sinx cosx) = -3 (sin x)^2 (cos x)^2

I am not sure what the question really is, but hopefully the above can steer you in the right direction.

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The base and the height of a triangle are multiplied by 5/4. Which of the following describes the
lions [1.4K]

Answer:

The option that describe the effect of the change is;

  • The perimeter is multiplied by 5/4

Step-by-step explanation:

The parameters from the question are;

The (scale) factor by which the base and the height of the triangle are multiplied = 5/4

By the constant proportion of their sides, the triangle before and the triangle obtained after the multiplication are similar

Let 'a' and 'b' represent the length of the base and the height of the triangle respectively, we have;

The area of the triangle, A₁ = 1/2 × a × b = a·b/2

With the application of the scale factor of 5/4, we have;

The area of the scaled triangle, A₂ = 1/2 × (5/4) × a × (5/4) × b = (5/4)² × a·b/2

Therefore, the scale factor of the area = (5/4)²

The scale factor of the perimeter = √(The scale facto of area)

∴ The scale factor of the perimeter = √(5/4)² = (5/4)

The scale factor of the perimeter = (5/4)

Therefore, the perimeter of the scaled triangle is obtained by multiplying the perimeter of the initial triangle by (5/4).

8 0
2 years ago
Read 2 more answers
8/7=x/5 what is the value of x round to the nearest tenth
faust18 [17]

Answer:

<h2>x = 5.7</h2>

Step-by-step explanation:

\frac{8}{7}  =  \frac{x}{5}

To find x first cross multiply

We have

7x = 8 × 5

7x = 40

Divide both sides by 7

That's

\frac{7x}{7}  =  \frac{40}{7}

x =  \frac{40}{7}

x = 5.7142

We have the final answer as

<h3>x = 5.7 to the nearest tenth</h3>

Hope this helps you

7 0
3 years ago
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At a sport clubhouse the coach wants to rope off a rectangular area that is adjacent to the building. He uses the length of the
Furkat [3]

Answer:

w < 8 meters ( w must be greater than 0 because length cannot be 0)

Step-by-step explanation:

One side with building is 23 meters, the other opposite side also will be 23 meters (with rope).

Let width (remaining 2 sides) be "w", he has AT MOST 39 meters of rope, so we can write:

Rope Needed = 23 + 2w < 39

Simplifying:

23 + 2w < 39\\2w < 39 - 23\\2w < 16\\w < 8

The range of possible values of w is  w meters (of course w has to be greater than 0)

5 0
3 years ago
25+12 1/2 + 61/4+31/8+19/16+25/32=
Len [333]
Make them all have the same denominator
32

25+12 16/32+488/32+124/32+38/32+25/32

Add all of the numerators... to get 691/32+1184/32
1875/32
Simplify to get 58 19/32
4 0
3 years ago
What does 8-2(y+4)=1/2(8y-12) equal?
JulsSmile [24]

y = 1

8-2y - 8 = 4y - 6

-2y = 4y - 6

-6y = -6

y = 1

3 0
3 years ago
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