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2 years ago

What is the one-hundredth term in the sequence 14, 19, 24, 29, 34…?

1 answer:

8 0

Rule: look at the sequence. It has the last number as 4 then 9 then for. 4 for odd numbers(odd term numbers like number 3,5 so on) so the last number of the 100 term is 9. It’s 509.

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lozanna [386]

Answer:

(2x+3)(x+1)

Step-by-step explanation:

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2 years ago

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A car dealer reported a 7.5% drop in sales from 895 cars. How many cars were sold?

Evgesh-ka [11]

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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)

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

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3 years ago

If a football field is 100 yards long and 54 yard wide and what is the area in perimeter of that football filed

OlgaM077 [116]

Answer:

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Step-by-step explanation:

you would measure the length and width. Multiply the length by the width to get the area, and add twice the length to twice the width to get the perimeter

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2 years ago

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andre [41]

Answer:

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Step-by-step explanation:

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