Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
Find a value for a that makes this statement true.
a ÷ 6 greater than 1.
Answer:
Anything greater than 6 will make a ÷ 6 greater than 1. a > 6
Step-by-step explanation:
Find the solution set of the inequality.
10c + 5 ≤ 45
house a, b, and c have floor areas of 2489 m^2, 3234 m^2 and 6071 m^2 respectively. Estimate the total floor area of the three houses
Answer:
11794m²
Step-by-step explanation:
Just add all the areas together
What expression represents the volume of the prism, in cubic units?
One-halfx3
One-halfx2 + x
2x3
2x2+ x
Answer:
Its A or 1/2x^3
Step-by-step explanation:
Just took the test
help ill give brainlest pls
Answer:D
Step-by-step explanation: angle a and b are already labeled
Answer:
D. 3 units
Step-by-step explanation:
Rotation does not affect the lengths of segments. Segment AB is given as 3 units. After rotation, segment A'B' will remain unchanged at 3 units.
A'B' = 3 units
23 + 18 divided (8-2) +3 ANSWER FAST PLS
Answer:
Step-by-step explanation:
Use PEMDAS rule -----> Parenthesis , Exponent, Multiplication & Division and then Addition & subtraction.
23 + 18 ÷ (8 - 2) + 3 = 23 + 18 ÷ 6 + 3 {Now do division}
= 23 + 3 + 3
= 29
NEEDED ASAP!! WILL GIVE BRAINLIEST
A local college wants to determine student interest in athletics and in academic clubs. The college surveys a random group of students, and the results of the survey are described below.
What is the perimeter of the triangle below
Answer:
P = 36 inches
Step-by-step explanation:
To find the perimeter of the triangle, add up all the sides.
P = s1 + s2+ s3
P = 13+13+10
P = 36 inches
Answer: The perimeter of the triangle is 36 inches. The correct option is d
Step-by-step explanation:
The perimeter of a triangle is calculated by adding the length of all sides of the triangle. This is an isosceles triangle. This means that the length of two sides out of three of the shape have the same length.
In such a triangle, the two equal sides are called the arms. The other side, represented usually as the lowermost, is called the base. The formula to find the perimeter of any isosceles triangle is-
Perimeter=(arm length)*2+base length
Therefore-
Perimeter=(13 inches)*2+10inches=36
To learn more about isosceles triangle,
https://brainly.com/question/29793403
3y-3x=9
Change the equation above into y=mx+b form
Answer:
y=x+3
Step-by-step explanation:
3y-3x=9
y-x=3
y=x+3
Answer:
y=x+3
Step-by-step explanation:
What is the rate in teaspoons of toasted sesame seeds per teaspoon of pepper flakes?
Answer:
12
Step-by-step explanation:
1/3 tbsp flakes = 4 tbsp sesame
x3 x3
1 tbsp flakes = 12 tbsp sesame
MULTI CHOICE Q
look in picture
Answer:
D
Step-by-step explanation:
The two legs ( shorter sides) have the right angle between them in a right triangle and
5^2 + 9^2 DOES equal 13^2
PLEASE no wrong answers
Answer:
2295
Step-by-step explanation:
multiply all of them together
Determine whether the below table represents a linear or nonlinear function:
x y
-3 -9
-4 0
0 7
8 10
pls help me :')
Answer:
i think answer is 8 10
Step-by-step explanation:
i hope its help
Earn points, answer both questions!
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
(-10) to the 6th power
Answer:1000000
Step-by-step explanation:
Raise -10 to the power of 6
(-10)(-10)(-10)(-10)(-10)(-10)
1000000
since there is a parentheses around -10 and the power is a even number, the answer is positive.
Evaluate.
21 + } + (-)) -
Enter your answer as a mixed number in simplest form in the box.
Evaluate: 2(1/4) + 2/5 ÷ (-1/2) - 1/4
⇛9/4 + 2/5 ÷ (-1/2) - 1/4
Take the LCM of the 4 and 5 is 20.
Again, 2 and 4 is 4.
⇛[(54+8)/20] ÷ [(-2 - 1)/4]
⇛62/20 ÷ (-3/4)
⇛62/20 × 4/-3
⇛62/{5*(-3)}
⇛62/-15.
HELP PLZZZZZZZZZZZZZZZZZZZ
Answer:
21 centimetres
Step-by-step explanation:
i need help with this question please help me
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
Please help me I will give you the brain thing and extra points. (image below) 13/30
Answer:10
Step-by-step explanation:
Answer:
A.10
Step-by-step explanation:
To find the slope of a graph we have to find y-y1 over x-x1. in this case i selected points 0,0 and 1,10. This means we have 10-0/1-0 or 10/1. when you simplify this you get 10. This graph has a slope of ten.
Hope this helps! if you don't understand just tell me and I'll explain it better!
PLEASE HELP! I WILL MARK AS BRAINLIEST I PROMISE
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?
Answer:
Step-by-step explanation:
3.1313109
Answer: the answer should equal 3.131
Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.
Please got brainliest
how does factoring relate to determining whether expressions are equivalent?
Answer:
Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.
A certain map shows two roads. Road A is 1 1/4 miles long but is 1 1/2 inches long on the map. What is the unit rate for inches per mile on this map? If road B is 15 miles long, how long is road B on the map? The unit rate is __ inch(es) per mile.
Answer:
I will study about it and tell u
okk frd
Answer:
Step-by-step explanation:
U8bdcqb9di9bhqerf
Help please I’ll give brianlest if it’s right
You spin the spinner once. What is P(odd)?Write your answer as a percentage rounded to the nearest tenth. 5,6,7,8
Answer:
The P(odd) is the probability of spinning an odd number that would be equal to 1/3.
Step-by-step explanation:
You spin the spinner once.6, 7, 8
There are a total of 3 possibilities (denominator), and only 1 is odd (numerator).
So, the probability of spinning an odd number = 1/3.
Hopefully, I correctly answered your question! If I did, I would really appreciate Brainliest. You can give Brainliest by clicking the crown (it only works if there’s two people who answered.) I would also appreciate if you rated my answer 5 stars, and clicked the heart!
An online bicycle store is having a sale on its bicycles. The original price of each bicycle is p dollars. The store sells 5 bicycles and earns a total of (5p−125) dollars.
a. Factor the expression using the GCF.
5p−125=
b. The discount per bicycle is $
.
Answer:
20p - 60 = 20p - 3*20 = 20(p-3)
Step-by-step explanation:
someone please help me!
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️