1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sliva [168]
3 years ago
7

Math Wiz help! (law of cosines)

Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0
A] Using  sine rule:
a/sin A=c/sin C
thus we can rewrite this as:
a/c=sin A/sinC
given that the ratio of a:c=2:√3+1 and C=60
thus
2/(√3+1)=sin A/sin 60
sin A=(2sin 60)/(√3+1)
sin A=0.63398
A=arcsin 0.63398~39.35°

b] <span>In triangle ABC, a = 3, b = 5, and c = 7. Find the measure of B.
the value of B will be found using cosine rule as follows:
</span>b²=a²+c²+2acCosB
thus
5²=3²+7²-2×3×7cos B
thus
25=9+49-42cos B
-33=-42cosB
cosB=0.7857
B=arccos 0.7857
B=38.21°
You might be interested in
*PLEASE HELP* *SPAM =REPORTED* 100 POINTS * PLEASE ADD EXPLANATION
Wewaii [24]

Answer:

your answer is B because with A the size of the dog cant lower and with D if there is less clothing then there cant more people and last we have C it cant be C because the more people there is the more the temp gets hotter not colder

Step-by-step explanation:

4 0
2 years ago
please help!!! the study conducted was 6 days long: there was 72mm of plant food and it decreased an equal amount each day.
Anuta_ua [19.1K]

Answer:

f(x) = 72 - 12x

Step-by-step explanation:

No. of days of study = 6

Amount of food to use for the 6 days = 72 mm

Given that equal amount of food was used each day, amount used per day = \frac{72}{6} = 12 mm

This would enable us derive a function for the amount of food remaining f(x), which can be expressed as a function of the number of days that have passed, (x).

Thus, we would have:

f(x) = 72 - 12x

Let's check if this equation expresses the relation of the function well.

At the end of day 1, if we used, 12mm, we would have 72 - 12 = 60mm of food remaining.

If we replace x in the equation we derived, we would get the same 60mm as the amount of food remaining.

If you try 2, 3, 4, 5 days, you'd get same thing.

At the end of the study, after the 6th day, the food would remain nothing.

Replace 6 for x in the relation function derived, you'd get a value of 0.

6 0
3 years ago
Graph the functions and approximate an x-value in which the quadratic function exceeds the exponential function. y = 4x y = 7x2
mel-nik [20]
14x Is the answer Because 7 times two is fourteen and plus four (X) would be sixteen then subtracted by two so it would be 14x
8 0
3 years ago
Does anyone know what this question means?
ioda

Answer:

Yes

Step-by-step explanation:

I know what it means. Trust me. I know.

7 0
3 years ago
Read 2 more answers
Some one plz help meh I need to understand and I dont
vfiekz [6]

Answer:

It's asking you to find the inputs of the function.

Step-by-step explanation:

Basically, when you input something, you replace "x" in the equation with the number you want to input. For example, if I had the equation: 5x/6+5, then I wanted to input "5", then 5 would replace x in the equation, making 5(5)/6+5. The output they are giving you is simply evaluating the equation that you used to input x, so basically in the case I gave you, the output would be 5(5)/6+5, or 25/6+5, and 55/6. Using the outputs, they want you to find the inputs.

4 0
3 years ago
Other questions:
  • What are the solutions of the quadratic equation? 4x^2+34x+60=0
    5·1 answer
  • What is magma? a. The molten mixture of rock-forming substances, gases, and water from the mantle.. c. Hardened lava on the surf
    7·1 answer
  • Rosa &amp; her friends are eating out for dinner. The bill was $45.80. They want to leave a 20% tip. How much should they leave
    9·1 answer
  • Explain when each method(graphing, substitution,linear combinations) is a good method to find a solution to a system of equation
    15·2 answers
  • To find the area of a rectangle you multiply the rectangle's
    12·1 answer
  • A "centroid" is defined as the center of mass of an object, or shape. How might the midpoint formula be used to find the midpoin
    6·1 answer
  • Calculate the discriminant: 4x² + 3x − 2 = 0 Enter your answer in the box.
    14·1 answer
  • What is the slope of the line that passes through (4, 12) and (5, 16)?
    9·2 answers
  • if three cubes of sides 3cm each are joined end to end, then find the length, breadth and height of the resultant cuboid​
    8·1 answer
  • how do you write y - 2 = -(x - 3) in slope-intercept form? A) y = x + 3 B) y = x - 1 C) y = -x + 5 D) y = -3x - 1
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!