Answer:
Here's the solution I created on Overleaf:
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:
pls help me with this question
Answer: Its C
Step-by-step explanation: I took the test on Edge.
∠A and ∠B are supplementary angles. If m∠A = (3x+1)∘ and m∠B = (x-9)∘, then find the measure of ∠B.
Answer:
X= 45
Step-by-step explanation:
So you do
3x+1+x-9=180
Because supplementary angles are 180°
Then
3x+x = 4x
1 - 9 = -10
4x-10=180
4x-10+(10)=180+(10)
4x=190
x=45
Answer:
Step-by-step explanation:
Write the coordinates of the vertices after a rotation 180° counterclockwise around the origin.
Answer: swap u and v I don't think w will change
Step-by-step explanation:
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What’s j+12=25 tape diagram
An equation is a mathematical statement that shows two mathematical expressions equal.
An equation consists a variable that does not have a fixed value to it.
Given,
j+12=25
Here ‘j’ is the variable.
To find ‘j’ we just need to 12 from 25.
So, 25 - 12 = 13
Hence, now we know that ‘j’ is equal to 13.
13 + 12 = 25
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please help i need this bad
Answer:
?
Step-by-step explanation:
(answer needs to be at least 20 words long)
Tom and Katherine live in different towns which are linked by a bike trail. They agree to meet for a bike ride, and both set off from home at the same time. Tom rides north at a speed of 14 mph and Katherine rides south at 10 mph. The bike trail between their homes is 42 miles long. How long will it be before they meet?
Answer:
We can start by using the formula:
time = distance / speed
Let t be the time (in hours) for Tom and Katherine to meet.
Tom's distance = Tom's speed x time = 14t
Katherine's distance = Katherine's speed x time = 10t
Since they are riding towards each other, the total distance they cover is the sum of their distances:
Tom's distance + Katherine's distance = 42 miles
14t + 10t = 42
Simplifying:
24t = 42
t = 42 / 24
t = 1.75 hours
Therefore, Tom and Katherine will meet after 1.75 hours of riding.
Please hurry i need to bring my grade up before friday
Answer:
Step-by-step explanation:
1+1 is about 3 so 3
Domingo and Bethany drove along the same highway, in opposite directions. Domingo left at 1 p.m., traveling westbound at 55 mph. Bethany left at the same time, traveling eastbound at 60 mph. Domingo and Bethany were 575 miles apart when they started driving. At what time did they pass each other?
Step-by-step explanation:
Let's first figure out how far each of them traveled before they meet. Let TIME be the time in hours since they began traveling.
Domingo traveled a distance of 55 * TIME miles
Bethany traveled a distance of 60 * TIME miles
We know that their total distance is 575 miles. So we can write the equation:
55 * TIME + 60 * TIME = 575
Simplifying this equation, we get:
115 * TIME = 575
Dividing both sides by 115, we get:
TIME = 5
So they meet 5 hours after they began traveling. Since Domingo left at 1 p.m., he will meet Bethany at 6 p.m.
They will pass each other at 6 pm.
Given,
Domingo and Bethany drove along the same highway but in opposite direction.
Let's first figure out how far each of them traveled before they meet.
Let x be the time in hours since they began traveling.
Domingo traveled a distance of 55 * x miles
Bethany traveled a distance of 60 * x miles
We know that their total distance is 575 miles. So we can write the equation as,
55 * x + 60 * x = 575
Further simplifying this equation, we get:
115 * x = 575
x = 5
So they meet 5 hours after they began traveling.
Since Domingo left at 1 p.m., he will meet Bethany at 6 p.m.
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Write the coordinates of the vertices after a rotation 180° counterclockwise around the origin.
Answer: U'=8,5 V'=7,5 W'=6,10
Step-by-step explanation: