All categories

2 years ago

Use the law of cosines to find the indicated missing side

Mathematics

1 answer:

max2010maxim [7]2 years ago

7 0

Answer:

19.08

Step-by-step explanation:

c² = a² + b² - 2ab×cos(C)

a=10

b=22

C=60

cos(60) = 0.5

c² = 10² + 22² - 2×10×22×cos(60) =

= 100 + 484 - 20×22×0.5 = 584 - 20×11 = 584 - 220 =

= 364

c = sqrt(364) ≈ 19.08

You might be interested in

Simplify this expression completely: -5r-(6r-1)

Ivenika [448]

$\text{Hello there!}\\\\\text{Solve:}\\\\-5r-(6r-1)\\\\\text{Distribute the negative to the numbers inside the parenthesis}\\\\-5r-6r+1\\\\\text{Combine like terms}\\\\-11r+1\\\\\boxed{-11r+1}$

7 0

2 years ago

Read 2 more answers

517 37/50 + 312 3/100

fgiga [73]

Answer: 829 3/4 or 829 75/100

Step-by-step explanation:

6 0

2 years ago

Please help!! I’m stuck on this

beks73 [17]

Answer:

B. $x = -4\,\lor \,x = -1$

Step-by-step explanation:

Let $\sqrt{-4-5\cdot x} = x$ , we solve for $x$ by algebraic means.

1) $\sqrt{-4-5\cdot x} = x$ Given

2) $-4-5\cdot x = x^{2}$ Definition of power/Symmetry of equality

3) $x^{2}+5\cdot x + 4 = 0$ Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property

4) $(x+4)\cdot (x+1) = 0$ $x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)$

5) $x = -4\,\lor \,x = -1$ Result

Hence, the correct answer is B.

7 0

2 years ago

What is the midpoint of (2,5) and (-5,6

Soloha48 [4]

(-3/2,11/2) is the midpoint

5 0

2 years ago

Name the property used in each equation. Then find the value of N. <br><br> 7+(4+6)=7+n

Xelga [282]

Hi there!

Let's solve th' Eqn. :-

7 + (6 + 4) = 7 + n

⇒ 7 + 10 = 7 + n

⇒ n = 7 - 7 + 10 ⇒ n = 10

Hence,
The required answer is " n " = 10

$\bf{COMMUTATIVE\:}$ :-

Th' Commutative property states that the order of the terms does not affect the final result.

~ Hope it helps!

5 0

2 years ago