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2 years ago

Only answer if you will help thank you

Mathematics

1 answer:

borishaifa [10]2 years ago

7 0

Answer:

$22,000

Step-by-step explanation:

Subtract the development cost from the amount it would make.

And boy, that's one expensive mousetrap.

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State the name of the angle

Bess [88]

The answer is C, hope this helps

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2 years ago

What is the value of the geometric sequence for which a1=10 and r=0.5?

tiny-mole [99]

The formula for an infinite geometric sequence is the following:

$S_{∞}= \frac{a_{1}}{1-r}$

Just substitute the values of $a_{1}$ and r into the formula.

$S_{∞}=\frac{10}{1-0.5}$
$S_{∞}=\frac{10}{0.5}$
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Therefore, the answer is 20.

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2 years ago

A dog has a 25 ft leash attached to a corner where a garage and fence meet. When the dog pulls the leash tight and walks from th

dalvyx [7]

Answer: $170^{\circ}$

Step-by-step explanation:

Given

The dog has a 25 ft leash

Arc length is 74.3 ft

Arc length is given by

$l=\dfrac{\theta }{360^{\circ}}\times 2\pi r$

here, r=25 ft

l=74.3 ft

Put the values

$\Rightarrow 74.3=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 25\\\\\Rightarrow \theta =170.2^{\circ} \approx 170^{\circ}$

The measure of the angle is $170^{\circ}$

7 0

2 years ago

Can someone help? exams are tomorrow and i have no clue how to do this problem?

cluponka [151]

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2 years ago

Help me solve this question

OLEGan [10]

Consider the first term on the left side.

$\displaystyle \frac{2\sin{A}}{\cos{3A}}\\\\=\frac{2\sin{A}\cos{A}}{\cos{3A}\cos{A}}\qquad\text{multiply by cos(A)/cos(A)}\\\\=\frac{\sin{2A}}{\cos{3A}\cos{A}}\qquad\text{double angle formula for sin}\\\\=\frac{\sin{(2A-A)}}{\cos{3A}\cos{A}}=\frac{\sin{3A}\cos{A}-\cos{3A}\sin{A}}{\cos{3A}\cos{A}}\\\\=\tan{3A}-\tan{A}$

Then the sum of the three terms on the left is

$\left(\tan{3A}-\tan{A}\right)+\left(\tan{9A}-\tan{3A}\right)+\left(\tan{27A}-\tan{9A}\right)\\\\=\tan{27A}-\tan{A}\qquad\text{Q.E.D.}$

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3 years ago