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2 years ago

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

Mathematics

1 answer:

eimsori [14]2 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

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What is the slope of the line that passes through the points (3, 4) and (5, –4)?

balandron [24]

M = -4 -4 / 5- 3 = -8/2 = -4

y = -4x + b

4 = -12 + b

b = 16

y = -4x + 16

3 0

3 years ago

A) 90 clockwise

nydimaria [60]

Answer:

A.) 90 clockwise

E.)270 Counter Clockwise

Step-by-step explanation:

A.) Ro, -90 Rotation about the origin (0,0) 90° clockwise

(x, y) ⇒ (y, -x)

(-1, 5) ⇒ (5, 1)

E.) Ro, 270 Counter Clockwise

(x, y) ⇒ (y, -x)

(-1, 5) ⇒ (5, 1)

6 0

3 years ago

2 inches in 5 seconds Part A Find the unit rate.

Vera_Pavlovna [14]

rate = distance / time Ok, part a is correct, try writing the answer as 2/5

rate = 2/5 = 0.4 in/s

rate = 0.4 in/s

Hi, I'm here is just that the pictures are small, I'm trying to read them

Please upload a picture of part b like the last picture you sent of part a

2/5 = x/ 15

x = 15 x 2 / 5

x = 30/5

x = 6 inches

The result is 6

3 0

1 year ago

Write one word problem using arithmetic sequences and another using geometric sequences.

Levart [38]

Hey There!

If i got this down right,
An = A1 + (n - 1)d
Sn = A1 + A2 + A3 + ... + An
A1 is given by
Sn = n (A1 + An) / 2
For Example

An = A1 + (n - 1)d
= 6 + 3 (n - 1)
= 3 n + 3
n = 50

Hope This Helps!!!

5 0

3 years ago

Read 2 more answers

HELP HELP !! & PlEASE SHOW WORK ! What would be the compound interest rate if Tom borrowed $6,000 at a 3% interest rate for

In-s [12.5K]

Answer:

Compound interest = $365.4

Step-by-step explanation:

Given:

Amount borrowed = $6,000

Rate of interest = 3%

Number of year = year

Find:

Compound interest

Computation:

A = P[1+r]ⁿ

Amount after 2 year = 6,000[1 + 3%]²

Amount after 2 year = 6,000[1 + 0.03]²

Amount after 2 year = 6,000[1.03]²

Amount after 2 year = 6,000[1.0609]

Amount after 2 year = 6,365.4

Compound interest = Amount after 2 year - Amount borrowed

Compound interest = 6,365.4 - 6,000

Compound interest = $365.4

3 0

2 years ago