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3 years ago

An equation that models the perimeter of the rectangle 2w+4w=36

Mathematics

1 answer:

skad [1K]3 years ago

4 0

Answer:

w=6

Step-by-step explanation:

Combine like-terms, 6w=36

Solve for w, w=6

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(6x – 2y = 5<br> 4x – 3y = 5

Gennadij [26K]

Answer:

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Step-by-step explanation:

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3 years ago

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inessss [21]

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3 years ago

The longest side of a triangle is 8 cm longer than the shortest side, and the medium

UNO [17]

Answer:

Gotcha!

Step-by-step explanation:

15 cm is the base of the triangle {the bottom}

18 cm is the other one

23 cm is the longest side

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3 years ago

Which are the same as the number 23?<br> Choose all answers that apply:

ivolga24 [154]

Answer:

Which numbers?

Step-by-step explanation:

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3 years ago

Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

Answer:

Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

$\cos \theta = -\frac{4}{5}$ and sin < 0

⇒ $\theta$ lies in the 3rd quadrant.

then;

$\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}$

Using trigonometry identities:

$\sin \theta = \pm \sqrt{1-\cos^2 \theta}$

Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

⇒ $\sin \theta = -\frac{3}{5}$

now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

$\sec \theta =-\frac{5}{4}$

(b)

$\tan \theta= \frac{3}{4}$

7 0

4 years ago