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
agasfer [191]
3 years ago
10

In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Mathematics
2 answers:
ehidna [41]3 years ago
8 0

Answer:

It is not 37.19 and 53.13.

Step-by-step explanation:

For newcomers who are using PLATO, I recently finished the test, and it is not the answer below. I don't know the right answer, unfortunately.

Irina-Kira [14]3 years ago
7 0
Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

c^{2} = a^{2} + b^{2} - 2abcosC

Rearranging this equation, we can find the value ∠C as shown below.

\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}
C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})

We can apply the same reasoning for finding the value of ∠B as shown.

B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})
C \approx 37.19

B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})
B \approx 53.13

Answer: ∠C = 37.19° and ∠B = 53.13°

You might be interested in
Luke bought three canvas boxes to store his papers. The canvas boxes have dimensions of 12 inches by 10 inches by 12 inches. Wha
eimsori [14]

Answer:4320

Step-by-step explanation:

12x12x10x3

5 0
3 years ago
Read 2 more answers
Please help me out with this so I can keep my kitten.
notka56 [123]

Answer:

y = \frac{32}{3}

Step-by-step explanation:

Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):

\frac{y}{8} = \frac{7}{12}  + \frac{3}{4}

Now, to add the two fractions, simply multiply the numerator and denominator by 3:

\frac{3*3}{4*3} = \frac{9}{12}

Now add this to the other fraction:

\frac{9}{12} + \frac{7}{12} = \frac{16}{12}

This can be simplified down by dividing both the numerator and denominator by 4:

\frac{4}{3}

Which now simplifies the original equation to:

\frac{y}{8}  = \frac{4}{3}

Remove the y out of the fraction:

\frac{1}{8}y = \frac{4}{3}

Now multiply both sides by 8:

(\frac{1}{8}y) * 8 = (\frac{4}{3}) * 8

y = \frac{4*8}{3}

y = \frac{32}{3}

Hope this helps!

5 0
3 years ago
Read 2 more answers
find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of negative 1
Mila [183]
Check the picture below, is a negative angle, thus, is going "clockwise"

\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{x}\implies  tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{-1}
\\\\\\
-1\cdot  tan\left( -\frac{3\pi }{4} \right)=y\implies -1\cdot \cfrac{sin\left( -\frac{3\pi }{4} \right)}{cos\left( -\frac{3\pi }{4} \right)}=y
\\\\\\
-1\cdot \cfrac{-1}{-1}=y\implies -1

4 0
3 years ago
Write the next three numbers in each counting sequence:<br> ...,40, 30, 20, ____, ____, ____,...
Leni [432]
10, 0, -10

You just have to subtract by 10
6 0
3 years ago
What is <br> 2(3x + 4) = -28
Fynjy0 [20]

Answer:

x= 10/3

or

x= 3.334

Depending on simplified form asked.

Step-by-step explanation:

6x +8 =28

subtract 8 from both sides

6x = 20

divide by 6

x=20 /6

x= 10/3 or x =3.334

<em>if you like my answer, please mark me brainliest !! thanks !! <3</em>

3 0
3 years ago
Read 2 more answers
Other questions:
  • A line passes through (4, 5) and (8, 9). Which equation best represents the line?
    14·1 answer
  • 20 POINTS ASAP The graphed line can be expressed by which equation? Math item stem image y+3=32(x+1) y−0=−32(x+1) y−3=32(x−1) y−
    8·2 answers
  • Which pair of numbers is relatively prime?
    11·1 answer
  • The graph of the function f(x) = –(x + 3)(x – 1) Which statement about the function is true
    12·1 answer
  • Olivia is on a road trip with her family. During a three- hour stretch,they traveled 183 miles.How fast were they driving in mil
    15·1 answer
  • Which of the following is equivalent to 8 × 8/6?
    12·1 answer
  • What is the slope of the line that passes through (-2,7) and (4, 9)? Type a numerical answer in the space provided. If
    5·2 answers
  • A family has two cars. During one particular week, the first car consumed 15 gallons of gas and the second consumed 35 gallons o
    13·1 answer
  • Subtract 15 from 45 and divide by 3​
    9·2 answers
  • James earns $418 per week and has one exemption. His office’s payroll software is broken and can only compute the withholding fo
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!