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
katrin [286]
3 years ago
9

suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60. what is the length of the t

hird side of the triangle

Mathematics
2 answers:
grin007 [14]3 years ago
8 0

Answer:

2.646 i believe is the answer : )

Step-by-step explanation:

arlik [135]3 years ago
3 0

Answer:

  √7 ≈ 2.646

Step-by-step explanation:

The law of cosines is applicable. It tells you ...

  c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.

Filling in the given information, you have ...

  c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7

  c = √7 ≈ 2.646

The length of the third side is √7, about 2.646 units.

You might be interested in
On one of the day you went to the gym, the ratio of men to women was 3 : 2.
balu736 [363]

Answer

Find out the  how many women were there .

To prove

Let us assume that the x is the scalar multiple of men and women.

As given

The ratio of men to women was 3 : 2.

Than

The total number of men = 3x

The total number of women = 2x

As given

If 120 men used the gym.

thus

120 = 3x

x = \frac{120}{3}

x = 40

The total number of women = 2 × 40

                                               = 80

Therefore 80 women were there in the gym .




5 0
3 years ago
Read 2 more answers
What is 7 divided by 23
nikklg [1K]

Answer:

0.3043478

Step-by-step explanation:

...............

3 0
3 years ago
Read 2 more answers
Find the value of x in simplest radical form
Marta_Voda [28]
Bro the answer is 2. Because I’m a high school student. you can trust me
3 0
3 years ago
Finding the surface area
Serga [27]

Answer: so you do length times width times height and then you divide by two

Step-by-step explanation:

7 0
2 years ago
An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d
nignag [31]

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}

By substituting the values, we will have

\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}

For the first ice cream with one scoop

\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}

For the second ice cream with two scoops

\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}

For the third ice cream with three scoops

\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

3 0
1 year ago
Other questions:
  • A radio active isotope decays according to the exponential decay equation where t is in days. Round to the thousandths place. Fo
    6·1 answer
  • Answer the integer -15 + 32 =?
    10·2 answers
  • Last year a large trucking company delivered 8.0 x 105 tons of goods with an average value of $30,000 per ton. What was the tota
    9·2 answers
  • What is the smallest three-digit number divisible by the first three prime numbers and the first three composite numbers?
    9·1 answer
  • Eight less than four times a number
    11·2 answers
  • Write the equation of a line through the point (4,2) and with a slope of 1/2
    11·1 answer
  • Avery solves the equation below by first squaring both sides of the equation.
    7·1 answer
  • Calculate 18t -t +6q-6​
    10·2 answers
  • Help me its easy lol
    11·1 answer
  • 6- 4(2r - 5) &lt; 26 - 8r<br> This is algebra
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!