answer.
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
Trava [24]
2 years ago
6

A 12.0-cm segment makes a 108.0-degree angle with a 16.0-cm segment. To the nearest tenth of a cm, find the third side of the tr

iangle determined by this SAS information.
Mathematics
1 answer:
Dominik [7]2 years ago
7 0

Begin by using the cosine rule to find the unknown side.

Where a- unknown side, b is 12, c is 16 and angle in between is 108° 

The cosine rule...

        a² = b² + c² - 2bc cosA

            = 12² + 16² - (2×12×16 cos108°)

            = 518.655076

Taking the positive square root...

         a = 22.774 

         a = 22.8 cm nearest tenth

You might be interested in
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled b
abruzzese [7]

Answer:

We need to subtract both equations. 2x3+30x-130-2x3+3x+520

that gives

30x-130+3x + 520

33x+390

D is answer

8 0
2 years ago
Read 3 more answers
Consider f(x) = 1.8x – 10 and g(x) = −4. A 2 column table with 6 rows. The first column, x, has the entries, negative 4, 0, 2, 4
viktelen [127]

Answer:1.8x – 10 = –4; x = 1.8 x minus 10 equals negative 4; x equals StartFraction 10 Over 2 EndFraction.

1.8 - 10= -4 x= -10/9

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The US Department of Health and Human Services wants to know whether the national healthcare system is achieving its goals in Vi
Vlad [161]

Answer:

Part. B

bc it was 71%

6 0
2 years ago
Read 2 more answers
For the total population of a large southern city, mean family income is $34,000, with a standard deviation (for the population)
Oliga [24]
It will be 43.800 you welcome and that was hard
6 0
2 years ago
Read 2 more answers
Paco's cell phone carrier charges him $0.20 for each text message he sends or receives, $0.15 per minute for calls, and a $15 mo
Katarina [22]

Given:

Paco's cell phone carrier charges him $0.20 for each text message he sends or receives, $0.15 per minute for calls, and a $15 monthly service fee. Paco is trying to keep his bill for the month below $30.

To Find:

The number of texts 't' Paco can send/receive in a month.

Answer:

0\leq t

best describes the number of texts he can send or receive to keep his bill less than $30 in a month.

Step-by-step explanation:

Paco wants to keep is monthly bill below $30.

We see that he has to pay a foxed monthly service fee of $15. This means he is only left with a limit of $30 - $15 = $15 for his monthly calls and texts.

That is, the amount he has to pay for texting and calling has to be less than $15.

For texts, the cell phone carrier charges $0.20 for sending/receiving texts.

For calls, he is charged $0.15 per minute.

Let the number of text messages Paco can send or receive in a month be denoted by 't'.

Let the number of minutes Paco can call in a month be denoted by 'c'.

Then, the total cost of text messages he can send or receive per month would be 0.20t and the total cost of the minutes he spends on calls would be 0.15c. Together, the sum of these has to be less than $15 if his monthly bill has to be kept less than $30 (accounting for the monthly service fee).

So,

0.20t+0.15c

The number of texts he can send will dpend on the number of minutes he spends on his calls. For Paco to spend maximum number of texts, he has to spend 0 minutes on calls.

So, putting c = 0, the aboce equation can be written as

0.20t+0

That is, Paco has to send and receive less than 75 texts.

So,

0\leq t

best describes the number of texts he can send or receive to keep his bill less than $30 in a month.

3 0
2 years ago
Read 2 more answers
Other questions:
  • Amy is biking to school from her father's house and Jeremy is biking to school from his aunt's house. Suppose Amy is moving at a
    12·3 answers
  • A recent hailstorm caused $1200 worth of body damage to Karen's car. Based on Karen's insurance policy given below, how much wil
    15·2 answers
  • There are 9.5 ounces of juice in a container. An additional 1.75 ounces of juice are poured into the container each second. How
    7·2 answers
  • A line segment has endpoints at (4, –6) and (0, 2). What is the slope of the given line segment? What is the midpoint of the giv
    13·2 answers
  • A lightbulb manufacturer ships large consignments of lightbulbs to big industrial users. When the production process is function
    11·1 answer
  • Your restaurant has assets of $64,342 and liabilities of $47,266. What is the equity of your business?
    9·1 answer
  • In circle C, SQ = 10 cm.
    8·2 answers
  • Identify the domain of the function shown in the graph.
    14·1 answer
  • In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level. When the lake warms up in the summer
    6·1 answer
  • Nevaeh has $560 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. She buys
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!