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aleksandrvk [35]

2 years ago

6

Find the perimeter of a rectangle with a base of 24m and a height of 36m.

1 answer:

bogdanovich [222]2 years ago

7 0

To find the perimeter of a rectangle, you need to add the lengths of the rectangles four sides. Since we have the base and the height this is easy. 24 x 2 + 36 x 2 = 120. Hope this helps!

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Sin theta+costheta/sintheta -costheta+sintheta-costheta/sintheta+costheta=2sec2/tan2 theta -1

sleet_krkn [62]

$\dfrac{sin\theta + cos\theta}{sin\theta-cos\theta}+\dfrac{sin\theta-cos\theta}{sin\theta+cos\theta}=\dfrac{2sec^2\theta}{tan^2\theta-1}$

From Left side:

$\dfrac{sin\theta + cos\theta}{sin\theta-cos\theta}\bigg(\dfrac{sin\theta+cos\theta}{sin\theta+cos\theta}\bigg)+\dfrac{sin\theta-cos\theta}{sin\theta+cos\theta}\bigg(\dfrac{sin\theta-cos\theta}{sin\theta-cos\theta}\bigg)$

$\dfrac{sin^2\theta+2cos\thetasin\theta+cos^2\theta}{sin^2\theta-cos^2\theta}+\dfrac{sin^2\theta-2cos\thetasin\theta+cos^2\theta}{sin^2\theta-cos^2\theta}$

NOTE: sin²θ + cos²θ = 1

$\dfrac{1 + 2cos\theta sin\theta}{sin^2\theta-cos^2\theta}+\dfrac{1-2cos\theta sin\theta}{sin^2\theta-cos^2\theta}$

$\dfrac{1 + 2cos\theta sin\theta+1-2cos\theta sin\theta}{sin^2\theta-cos^2\theta}$

$\dfrac{2}{sin^2\theta-cos^2\theta}$

$\dfrac{2}{\bigg(sin^2\theta-cos^2\theta\bigg)\bigg(\dfrac{cos^2\theta}{cos^2\theta}\bigg)}$

$\dfrac{2sec^2\theta}{\dfrac{sin^2\theta}{cos^2\theta}-\dfrac{cos^2\theta}{cos^2\theta}}$

$\dfrac{2sec^2\theta}{tan^2\theta-1}$

Left side = Right side <em>so proof is complete</em>

8 0

3 years ago

Read 2 more answers

Each cube in this solid figure is a unit cube.<br><br> What is the volume of this solid figure?

padilas [110]

Answer:

The volume of this given solid figure is 18 cubic units.

Step-by-step explanation:

Here, given the volume of 1 small cube = 1 cubic units

Now, counting the total cubes in the given solid figure, we get

Number of cubes in base row = 10

Number of cubes in middle row = 6

Number of cubes in top most row = 2

So, the total number of cubes in the figure = 10 + 6 + 2 = 18 cubes

So, the volume of 18 cubes = 18 ( Volume of 1 small cube)

= 18 x (1 cubic units) = 18 cubic units

Hence, the volume of this given solid figure is 18 cubic units.

5 0

3 years ago

Which Function rule describes the pattern in the table? x:-2,-1,0,1,2 / y:14,11,8,5,2 A) y=3x+8 B) y= -3x-8 C) y=3x-8 D) y=-3x+8

Leona [35]

For every value tht x increases, y decreases by 3

-3x

Then to find the y intercept, look at 0's corresponding value (8)

-3x+8

6 0

2 years ago

Find smallest number which on adding to 19 it is exactly divisible by 28,36 and 45 (LCM).

BabaBlast [244]

Answer:

1241

Step-by-step explanation:

∴

L.C.M. of 28, 36 and 45 = 2 × 2 × 3 × 3 × 5 × 7 = 1260

∴

the required number is 1260 - 19 = 1241

Hence, if we add 19 to 1241 we will get 1260 which is exactly divisible by 28, 36 and 45.

7 0

9 months ago

What numbers less than 200 are divisble by 4 but not 12

kolezko [41]

Answer:

There are 48 numbers that satisfy the condition

Step-by-step explanation:

Find the relationship between 3 and 12

3 * 4 = 12

The maximum number of multiples of 12 within 200 is 18.

The maximum number of multiples within 200 is 66.

So the number of numbers within 200 that go exactly into 3 but not exactly into 12 is:

66-18 = 48

3 0

2 years ago