note that cosine rule can be used when two sides are given with an included angle . from the diagram above, the two sides given are side AB and side AC and the included angle is A

Hence cosine rule

a^2 = AB^2+AC^2 - 2AB×AC Cos A

3.2^2= 2.1^2+4.6^2-2×2.1×4.6COSA

10.24 =4.41+21.16- 19.32 COSA

10.24 = 25.57-19.32COSA

10.24-25.57= -19.32COSA

-15.33= -19.32COSA

dividing bothsides by - 19.32

COSA= -15.33/19.32

COA= 0.79347826

A = COS^-1 (0.79347826)

A= 37.488

A= 37°

<h2>hope this helps!!</h2>

7 0

2 years ago

Joe tracked the height of his Dalmatian puppy from age 13 weeks to 25 weeks. He graphed the data and determined the line of best

nadya68 [22]

Answer:

22.5 weeks

Step-by-step explanation:

y = 1.12x + 28.78 represents the height of the puppy. Here that height is 54 cm:

Then 54 = y = 1.12x + 28.78

Combining the constants, we get 1.12x = 25.22. Dividing both sides by 1.12, x turns out to be 22.5 weeks.

3 0

3 years ago

Determine the rate of change for thw graph: $____ per mile

Ira Lisetskai [31]

Answer:

$2 per mile

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 5)

Point (4, 9)

Step 2: Find slope m

Substitute: $m=\frac{9-5}{4-2}$
Subtract: $m=\frac{4}{2}$
Divide: $m=2$

5 0

2 years ago