All categories

3 years ago

Which ratio represents the cotangent of angle B in the right triangle below?

Mathematics

1 answer:

eimsori [14]3 years ago

3 0

Answer:

C. 3/4

Step-by-step explanation:

Using the SOH CAH TOA identity;

tan theta = opposite/adjacent

From the diagram

Opposite = x

Adjacent = 12

tan <B = x/12

Since cot <B = 1/tan <B

cot <B = 12/x

Get x using pythagoras theorem

x² = 20²-12²

x² = 400 -144

x² = 256

x = 16

Hence cot <B = 12/16

cot <B =3/4

You might be interested in

55 bridesmaids want to make 325325 decorations for a wedding. Each decoration takes about 212212 minutes to make. Which response

koban [17]

For the amount of time their spending i think it would take more than a humans lifetime to make a quarter of a decoration.

6 0

3 years ago

How can the common difference between 375-315=30

Firlakuza [10]

Hello :
in the arithemitic sequence : an = an-1 + 30

3 0

3 years ago

The shortest side of a right triangle measures 11m. The lengths of the other two sides are consecutive integers. Find the length

uranmaximum [27]

Interesting question. Let the 2 unknown sides be x and x+1.
Then (11 m)^2 + x^2 = sum of the squares of the 2 shortest sides
= (x+1)^2

121 + x^2 = x^2 + 2x + 1. Then 121 = 2x + 1, and 2x = 120, or x = 60.

Then the hyp. has length 60+1= 61.

We must check these results. Using the Pyth. Thm. (a^2 + b^2 = c^2),

11^2 + 60^2 = 61^2
121 + 3600 = 3721 This is true, so our answers are correct.

The longer side is 60 and the hyp. has length 61.

4 0

3 years ago

Jennifer painted a tabletop that is shaped like a circle. The circumference of the tabletop is 6π feet. Which measurement is clo

olchik [2.2K]

The answer may be 28.274333882308, but there were no choices given, so I don't know.

4 0

3 years ago

Addy’s monthly water bills for last year are $27, $31, $30, $26, $25, $27, $37, $33, $32, $28, $26, $26. Express the formula for

Sav [38]

Answer:

Σ( xi ) / n ; $29

Step-by-step explanation:

Given the following data:

X= $27, $31, $30, $26, $25, $27, $37, $33, $32, $28, $26, $26

Number of observations (n) = 12

Mean formula (m) = ( Σ xi ) / n

Where i = each individual value in X

Mean water bill for the years is thus :

m = Σ [(27 + 31 + 30 + 26 + 25 + 27 + 37 + 33 + 32 + 28 + 26 + 26)] / 12

m = 348 / 12

m = 29

Hence, the mean water bill for the year is $29

7 0

3 years ago