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
stira [4]
4 years ago
15

Find the missing side length. Round your answer to the nearest tenth.

Mathematics
1 answer:
EastWind [94]4 years ago
5 0

Answer:

5.545

Step-by-step explanation:

This problem can be easily solved by using the law of cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.

in this case, the formula can be applied in the following way

a^2 = b^2  + c^2  - 2*b*c*cos(α)

Where

a,b,c are each of the sides of the triangle,

α is the angle between sides b and c

(See attached picture)

If we use the formula we get

a^2 = (9)^2 + (6)^2 - 2*(9)(6)*cos(37°)

a^2 = 81 + 36 - 86.2526

a^2 = 30.747

a = sqrt(30.747)

a = 5.545

You might be interested in
If the discriminant of a quadratic equation is equal to -8, which statement describes the roots'
OlgaM077 [116]

If the discriminant of a quadratic equation is equal to -8, there are two complex roots.

<h3>Discriminant of a quadratic equation</h3>

The discriminant is used to determine the nature of quadratic equations.

The formula for calculating discriminant is given as:

D = b^2 - 4ac

If the discriminant is negative, it means that the nature of the solution will be a complex number.

Hence if the discriminant of a quadratic equation is equal to -8, there are two complex roots.

Learn more on discriminant here: brainly.com/question/2507588

#SPJ1

4 0
2 years ago
A company made $4 million in the second quarter. This is 1/3 more than it made in the first quarter and 4/5 of what it made in t
Andreas93 [3]
4 * 1/3 = 1,3 
4 * 4/5 = 3,2

4 + 1,3 + 3,2 = $8,5 million
6 0
3 years ago
Please help me and please explain it step by step
algol13

9514 1404 393

Answer:

  (a)  exactly two unique triangles

Step-by-step explanation:

The third angle is ...

  180° -50° -80° = 50°

Two of the angles are the same, so two of the sides are the same length. The given side measure can be either one of the two unique side lengths, giving rise to exactly two unique triangles.

6 0
3 years ago
ALlice, Bob, and Kevin go to an ice cream shop that sells 7 different flavors of ice cream:chocolate, vanilla, mint chip, strawb
Ierofanga [76]

Alice has 36 possibilities of choosing ,Bob 126 and Kevin 84.

Alice, Bob and Kevin

7 different Flavors:

Chocolate

Vanillla

mint chip

strawberry

cookie dough

banana

caramel

The order of the 9 scoops does not matter.

_ _ _ _

a) How many ways can she choose her 9 scoops so she gets at least 1 scoop of each flavor?

Since there are 7 flavors, and she wants at least one of each then we have:

C=\frac{9!}{7!2!}\text{ =3}6

Alice has 36 possibilites of choosing

b) Bob

Since Bob can't eat too much he can't do no more than 4

C\text{ =}\frac{9!}{4!5!}=126

Bob has 126 possibilities of making his choice.

c) Kevin

3 scoups of banana or 3 scoups of strawberries.

Considering He wants 9 scoups.

C=\frac{9!}{6!3!}=84

Kevin has 84 possibilities for banana or strawberries

7 0
1 year ago
What is the resulting ordered pair if the value of the independent variable is 5?
eduard
F(5) = -2 * 5 + 1 = -9
the pair is (5, -9)
6 0
4 years ago
Other questions:
  • Screenshot included! MY LAST QUESTION! What is the volume of this aquarium?
    14·1 answer
  • 18. what Gives the missing value in 2/5 = x/30?
    5·1 answer
  • Find m∠E to the nearest degree.
    8·2 answers
  • What is the range of the relation <br> (-4,1),(-2,0),(8,-1)
    6·1 answer
  • Matt is purchasing a new tablet computer at a 20% markdown. After the discount is taken, the tablet is subject to a 6% state sal
    14·2 answers
  • (−5.2)+(−3.8)–{(−1.2)–[(−0.5)–(−0.7)]}
    12·1 answer
  • Ishaan is 2 times as old as christopher. 35 years ago, ishaan was 7 times as old as Christopher. How old is Christopher now?
    5·2 answers
  • The rectangle below has an area of 12y^2+21y^5 The width of the rectangle is equal to the greatest common monomial factor of 12y
    11·1 answer
  • The seventh term of the sequence -2, -6, -10, -14, ... is _____. -26 -24 -22 -20
    6·1 answer
  • HELP giving brainless and 100 points!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!