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ICE Princess25 [194]
3 years ago
14

Please help!!

Mathematics
1 answer:
Inessa05 [86]3 years ago
8 0
Let the width = w.
The length is 6 times the width, so the length is 6w.
The perimeter is 70.
P = 2L + 2W

70 = 2(6w) + 2(w)

70 = 12w + 4w

70 = 14w

5 = w

The width is 5.
The length is 6 times the width, so the length is 6 * 5 = 30

Area of rectangle = LW

A = 5 * 30 = 150
You might be interested in
Use the identity tan(theta) = sin(theta) / cos(theta) to show that tan(???? + ????) = tan(????)+tan(????) / 1−tan(????) tan(????
VMariaS [17]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof the following indentity:

tan(x+y) = \frac{tan (x) + tan(y)}{1- tan(x) tan(y)}

So we need to begin with the definition of tangent, we know that tan (x) =\frac{sin(x)}{cos(x)} and we can do this:

tan (x+y) = \frac{sin (x+y)}{cos(x+y)}   (1)

We also have the following identities:

sin (a+b) = sin (a) cos(b) + sin (b) cos(a)

cos(a+b)= cos(a) cos(b) - sin(a) sin(b)

Now we can apply those identities into equation (1) like this:

tan (x+y) =\frac{sin (x) cos(y) + sin (y) cos(x)}{cos(x) cos(y) - sin(x) sin(y)}   (2)

We can divide numerator and denominator from expression (2) by \frac{1}{cos(x) cos(y)} we got this:

tan (x+y) = \frac{\frac{sin (x) cos(y)}{cos (x) cos(y)} + \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{cos(x) cos(y)}{cos(x) cos(y)} -\frac{sin(x)sin(y)}{cos(x) cos(y)}}

And simplifying we got:

tan (x+y) = \frac{tan(x) + tan(y)}{1-tan(x) tan(y)}

And that complete the proof.

8 0
3 years ago
Please help!!! I’ll mark you as brainliest!!!!
Daniel [21]

Answer: D $26

Step-by-step explanation:

50-(50x.3)= 35

35-6=29

29-3=26

5 0
3 years ago
I NEED HELP ASAPPP!!!! It’s urgentttttt!!!!
Akimi4 [234]

Answer: (x - 2)² + (y - 14)² = 1

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of the circle formula.

Circle formula: (x - h)² + (y - k)² = r²

Center = (h, k)

Radius = r

If you are still confused, please refer to the attachment below for a graphical explanation.

<u>Solve:</u>

Center = (2, 14)

Radius = 1

<em>Given formula</em>

(x - h)² + (y - k)² = r²

<em>Substitute the value into the formula</em>

(x - 2)² + (y - 14)² = (1)²

<em>Simplify</em>

(x - 2)² + (y - 14)² = 1

Hope this helps!! :)

Please let me know if you have any questions

8 0
3 years ago
I don’t understand number 5
yarga [219]
Multiply what’s on the outside to the inside, the variable is always a lower case letter such as x,
4 0
3 years ago
Help please!!!!!!!!!!!!!
kaheart [24]

Answer:

53

Step-by-step explanation:

6x3=18

8-3=5

6+1=7

7x5=35

35+18=53

I hope this helps!

5 0
3 years ago
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