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
Ket [755]
2 years ago
8

A) The cosine rule can be used to find the value of x in the triangle below.

Mathematics
1 answer:
BartSMP [9]2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

(a)

(the side required )² = sum of squares of other 2 sides - ( 2 × product of other 2 sides and cos(angle opposite side required ) )

x² = 12² + 15² - (2 × 12 × 15 × cos71°)

(b)

x² = 144 + 225 - 360cos71°

   = 369 - 360cos71° ( take square root of both sides )

x = \sqrt{369-360cos71}

  ≈ 16 cm ( to the nearest integer )

You might be interested in
Find the side of a cube if its volume is 1331 cm³.​
SSSSS [86.1K]

answe= aprox 11

Using the formula

V=a3

Solving fora

a=V⅓=1331⅓≈11

4 0
3 years ago
Find the value of x for which ABCD must be a parallelogram.
Inessa [10]
Hey there!

You can tell that the two angles are congruent because of the arc. So make the two angles each other.
3x-17=25-3x. Add 3x to each side. You get 6x-17=25. Add 17 to each side to get 6x=42. Divide each side by 6. You get x=7. So the value of x would be 7.

I hope this helps!
3 0
3 years ago
Three factorizations for <br> 6x^3
timofeeve [1]
3 over 18 is the anser
5 0
4 years ago
Read 2 more answers
Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 81 mm, 7 mm, 6 mm B. 81 mm, 7 mm, 72
Lisa [10]
We know that
The triangle inequality<span> states that for any </span>triangle, t<span>he sum of the lengths of any two sides of a </span>triangle<span> is greater than the length of the third side
</span>so
case <span>A. 81 mm, 7 mm, 6 mm 
6+7 is not > 81

case </span><span>B. 81 mm, 7 mm, 72 mm
72+7 is not > 81

case </span><span>C. 81 mm, 7 mm, 88 mm
81+7 is not > 88

case </span><span>D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok

the answer is the option
</span>D. 81 mm, 7 mm, 77 mm
3 0
3 years ago
Find the vertex of the parabola<br> y= x^2-2x-1<br> vertex (?,?)
SpyIntel [72]
y=ax^2+bx+c\\\\vertex:(x_v;\ y_v)\\\\x_v=\frac{-b}{2a}\ and\ y_v=f(x_v)


y=x^2-2x-1\\\\a=1;\ b=-2;\ c=-1\\\\x_v=\frac{-(-2)}{2\cdot1}=\frac{2}{2}=1\\\\y_v=1^2-2\cdot1-1=1-2-1=-2\\\\Answer:(1;-2)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Katie uses a copy machine to enlarge her rectangular design that is 6in wide and 8in long. The new width is 10in. What is the ne
    9·2 answers
  • How do you write 20484163 in different forms
    12·1 answer
  • Let f(x)=x^2 - 3x - 4 . What is the average of change from x=7 to x=10?
    11·1 answer
  • Help will give brainliest
    7·1 answer
  • Your club is ordering enrollment gifts engraved with your club logo. Keychains cost $5 each. Wristbands cost $2 each. You have a
    8·1 answer
  • One coin is randomly selected from a jar containing 20 pennies, 15 nickels, 3 dimes, and 12 quarters. What is the odds of a valu
    14·1 answer
  • What is -18/-6? I am having trouble with negative numbers.
    10·2 answers
  • Plzzzz help me!!!
    12·1 answer
  • 1) Functions A, B and C are all linear functions ofx. Rank the rates of change and the y-intercepts of all three from smallest t
    5·1 answer
  • Rewrite 10(7g-9h)-4h-8(-h+8g)10(7g−9h)−4h−8(−h+8g) in simplest terms
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!