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2 years ago

What is the tangent ratio for angle b?

Mathematics

2 answers:

postnew [5]2 years ago

6 0

Tan = opposite side/adjacent side
So opposite side is 2 and
Adjacent side is 1
2/1

Elis [28]2 years ago

5 0

Hi there!

Tangent is a trigonometry ratio, and it is the value of the side opposite the angle over the side adjacent to the angle.

The side that is opposite angle B is side CA which is equal to 2.
The side that is adjacent to angle B is side CB which is equal to 1.

Therefore, the tangent ratio for angle B is 2/1.
(The adjacent side cannot be side BA because it is the hypotenuse.)

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

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Answer:

4.9 years

Step-by-step explanation:

Future value is the sum of amount invested and its compounded interest for a specific period of time and on a specific interest rate.

Investment = Present value = $9,500

Future value = $12,600

To find the numbers of years we will use following formula

Future value = Present value x ( 1 + r )^n

r = interest rate = 5.75%

n = number of periods = ?

Placing values in the formula

$12,600 = $9,500 x ( 1 + 5.75%/4 )^n

$12,600 / $9,500 = 1.014375^n

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2 years ago

luke paid 30 percent less for a used car than its original price of $3,500. how much did luke pay for the car?

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Step-by-step explanation:

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2 years ago

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Joe receives an average of 780 emails in his personal account and 760 emails in his work account each month. After changing his

Semmy [17]

Answer:

702 emails

Step-by-step explanation:

<h2>This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.</h2>

Given data

Average personal emails received monthly = $780 emails$

Average work emails received monthly $= 760 emails$

We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.

After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.

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The new number of mails

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2 years ago

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1 year ago

Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the rig

Serga [27]

Answer:

1.4in

Step-by-step explanation:

Length of Photo = 4in

Width of Photo = 3in

Unknown:

Value of X = ?

Solution:

Follow these steps:

Area of a rectangle = l x w

Since the photo is a rectangle; area of photo:

Area of photo = 4in x 3in = 12in²

For the area of the ad;

Length of ad = 4 + x

Width of ad = 3 + x

Given that,

the area of the photo = $\frac{1}{2}$ area of ad

12in² = $\frac{1}{2}$ area of ad

Area of ad = 24in²

Area of the ad;

(4 + x) (3 + x) = 24

12 + 4x + 3x + x² = 24

12 + 7x + x² = 24

x² + 7x = 24 - 12

x² + 7x = 12

x² + 7x - 12 = 0

Using the almighty formula where

a = 1, b = 7 and c = -12

x = $\frac{-b (+/-) \sqrt{b^{2} } - 4ac}{2a}$

x = $\frac{-7 + \sqrt[]{-7^{2} - 4x1x-12 } }{2x1}$ or $\frac{-7 - \sqrt[]{-7^{2} - 4x1x-12 } }{2x1}$

x = 1.4 or -8.4

therefore the answer is 1.4in

x is 1.4in

4 0

1 year ago