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
dimulka [17.4K]
2 years ago
12

Find the exact length of side a

Mathematics
1 answer:
pantera1 [17]2 years ago
5 0

The figure is a scalene triangle, and the exact length of side a is √13

<h3>How to determine the exact length of side a?</h3>

To calculate the length of a, we make use of the following law of cosine

a² = b²  + c² - 2bc * cos(A)

Using the values in the figure, we have:

a² = 3√2²  + 5² - 2 * 3√2 * 5 * cos(45)

Evaluate the expression

a² = 18  + 25 - 30

Evaluate the sum and the difference

a² = 13

Take the square root of both sides

a = √13

Hence, the exact length of side a is √13

Read more about law of cosines at:

brainly.com/question/4372174

#SPJ1

You might be interested in
Which expression shows the result of applying the distributive property to 9(2+5m) ?
vovikov84 [41]

Answer:

<h2>18 + 45m</h2>

Step-by-step explanation:

The distributive property: a(b + c) = ab + ac

9(2 + 5m) = (9)(2) + (9)(5m) = 18 + 45m

3 0
3 years ago
Find a mathematical model that represents the statement. F varies directly with s and inversely as the square root of d. f=6 whe
gladu [14]

Answer:

Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. In this case, you need to find x when y = 44 and z = 6. Example 2 – If f varies directly as g and inversely as the square of h, and f = 20 when g = 50 and h = 5, find f when g = 18 and h = 6.

Step-by-step explanation:

7 0
3 years ago
If a = 7 - 4√3, find the value of a + 1/a​
irga5000 [103]

Answer:

Step-by-step explanation:

To calculate a+1/a, we first need to calculate for a.

a = 7 - 4 * \sqrt[2]{3}

square root of 3 = 1.73

a = 7 - 4 * 1.73

a = 7 - 6.9

a = 0.1

0.1 + 1 / 0.1 = 0.1 + 10 = 10.1

Now, in case 4 wasn't being multiplied with the square root of 3, and instead, it was four root of 3, I am gonna do the calculations again:

a = 7 - \sqrt[4]{3}

a = 7 - 1.31

a = 5.69

5.69 + 1 / 5.69 = 5.69 + 0.17 = 5.86

Hope I Helped!

5 0
2 years ago
Can i please get help on this Question?
Vladimir79 [104]

i would say the answer is 17  because i used the calculator

3 0
3 years ago
You have $90,000 in cash. You can deposit it today in a mutual fund earning 7.5
Lady bird [3.3K]

I will go to the Bahamas instead and think about later

5 0
3 years ago
Other questions:
  • Phoebe owns a clothing store that designs T-shirts and shorts. She sells the
    15·2 answers
  • What's the equation of the line slope 1/4 y-intercept: 3
    7·2 answers
  • A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold when fu
    14·2 answers
  • Cards numbered 1 through 15 are mixed up and placed in a bag. Malik chooses one of the cards without looking. What is the probab
    5·2 answers
  • Please answer this correctly
    15·1 answer
  • Under which operation is the set {0, 1} closed?
    6·1 answer
  • A user car dealer brought a car for $12,000 and wants to sell it at a 15% profit. How much should he sell the car for?
    13·2 answers
  • Can Someone Evaluate This
    14·2 answers
  • Please help me answer/figure this out please. No links
    8·1 answer
  • What would the equation be??​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!