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3 years ago

Length of the rectangle is 4 less than 3 times its width. If the perimeter of

Mathematics

1 answer:

Sphinxa [80]3 years ago

3 0

Answer:

The length is four less than three times the width.

x = 5 cm.

The width of rectangle is 5 cm.

Thus the length of rectangle 3x - 4 = 3 × 5 - 4 = 15 - 4 = 11 cm

Step-by-step explanation:

HOPE IT HELPS

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Prove: cot(x) sec^4(x) = cot(x) +2tan(x) + tan^3(x)

masha68 [24]

$\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad\qquad 
sec(\theta)=\cfrac{1}{cos(\theta)}\quad\qquad 1+tan^2(\theta)=sec^2(\theta)\\\\\\
tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}
\qquad \qquad cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\\\\
-------------------------------\\\\
cot(x)sec^4(x)=cot(x)+2tan(x)+tan^3(x)\\\\
-------------------------------\\\\$

$\bf \textit{so, let's do the left-hand-side}\\\\
cot(x)sec^2(x)sec^2(x)\implies cot(x)[1+tan^2(x)][1+tan^2(x)]
\\\\\\
cot(x)[1^2+2tan^2(x)+tan^4(x)]
\\\\\\
cot(x)+2tan^2(x)cot(x)+tan^4(x)cot(x)
\\\\\\
cot(x)+2\cdot \cfrac{sin^2(x)}{cos^2(x)}\cdot \cfrac{cos(x)}{sin(x)}+\cfrac{sin^4(x)}{cos^4(x)}\cdot \cfrac{cos(x)}{sin(x)}
\\\\\\
cot(x)+2\cdot \cfrac{sin(x)}{cos(x)}+\cfrac{sin^3(x)}{cos^3(x)}\implies \boxed{cot(x)+2tan(x)+tan^3(x)}$

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2 years ago

In the warmer months, Ms.Selwa likes to run to school to get in her daily exercise. She can run 1/6 of a kilometer in a minute.

Lerok [7]

Answer:

3 minutes

Step-by-step explanation:

If Ms. Selwa can run 1/6 of a kilometer in a minute, she can run 3/6 of a kilometer in 3 minutes.

This is because 1/6 times 3 equals 3/6, which is the distance of the school from her home.

So, it will take Ms. Selwa 3 minutes to run to school.

8 0

2 years ago

Please help it’s urgent multiple choice

Sergeeva-Olga [200]

Answer:

Theta = 52.1

Step-by-step explanation:

sin theta = opp / hyp

sin theta = 15/19

Take the inverse sin of each side

sin^-1 sin theta = sin^1- (15/19)

theta =52.13635364

To the nearest tenth

Theta = 52.1

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3 years ago

B - 1 > -17 what does b equal?

Nastasia [14]

Answer:

b > -16

Step-by-step explanation:

The inequality is given as:

b - 1 > -17

To solve this problem, add +1 to both sides of the expression:

b - 1 + 1 > -17 + 1

Now;

b > -16

So, all values for which b is more than -16 satisfy the solution for this problem.

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2 years ago

On a number line what is the distance between -27 and -10

Arte-miy333 [17]

Answer:

Either -17 or 17

Step-by-step explanation:

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2 years ago

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