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
alekssr [168]
3 years ago
5

Find the area of the triangle to the nearest tenth . Pleaseeee help

Mathematics
1 answer:
tigry1 [53]3 years ago
4 0

Answer:

15.8 cm²

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the angle A. This can be obtained as follow:

B = 56°

C = 78°

A =?

A + B + C = 180 (Sum of the angle in triangle)

A + 56 + 78 = 180

A + 134 = 180

Collect like terms

A = 180 – 134

A = 46°

Next, we shall determine the value of b by using the sine rule. This can be obtained:

Side opposite angle C (c) = 7.2 cm

Angle C = 78°

Angle B = 56°

Side opposite angle B (b) =?

b/Sine B = c/sine C

b/Sine 56 = 7.2/Sine 78

Cross multiply

b × Sine 78 = 7.2 × Sine 56

Divide both side by Sine 78

b = 7.2 × Sine 56 / Sine 78

b = 6.1 cm

Finally, we shall determine the area of the triangle. This can be obtained as follow:

Side opposite angle C (c) = 7.2 cm

Side opposite angle B (b) = 6.1 cm

Angle A = 46°

Area (A) =?

A = ½bcSineA

A = ½ × 6.1 × 7.2 × Sine 46

A = 15.8 cm²

Therefore, the area of the triangle is 15.8 cm²

You might be interested in
The amount of money Chaz earned for walking dogs is given in the table. Can the relationship be described by a constant rate? Ex
mojhsa [17]

Answer:

Yes, the relationship can be described by a constant rate of $18.75 per dog

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x ----> the number of dogs

y ---> the amount of money earned

we have the points

(6,112,50), (8,150), (11,206.25)

step 1

Find the slope with the first and second point

(6,112,50), (8,150)

m=(150-112.50)/(8-6)=18.75

step 2

Find the slope with the first and third point

(6,112,50), (11,206.25)

m=(206.25-112.50)/(11-6)=18.75

Compare the slopes

The slopes are the same

That means, that the three points lies on the same line

therefore

Yes, the relationship can be described by a constant rate of $18.75 per dog

7 0
2 years ago
If $48,000 is invested in an account earning 3.1% interest compounded continuously, determine how long it will
Bas_tet [7]

Answer:

It will take about 35.439  years to triple.

Step-by-step explanation:

Recall the formula for continuously compounded interest:

A=P\,e^{r*t}

where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).

Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:

3\,*\,48,000=\,48,000\,\,e^{0.031\,*t}\\\frac{3\,*\,48,000}{48,000} =e^{0.031*t}\\3=e^{0.031*t}

Now,in order to solve for "t" (which is in the exponent, we use logarithms:

ln(3)=0.031\,*\,t\\t=\frac{ln(3)}{0.031} \\t=35.439 \,\,years

7 0
3 years ago
What number should be added to both sides of the equation to complete the square ? x2 + 12x = 11
Korvikt [17]
You can add a lot of numbers (or so I think). One number I think you can add is 31. 
3 0
2 years ago
Read 2 more answers
Please help oh god please help please I beg you ill give all my points and mark brainliest please oh god please help help
Travka [436]

Answer:

I think it's the top right

Step-by-step explanation:

Just take it trust me

4 0
3 years ago
Solve for x in the equation (x + 7) (x minus 9) = 25
Artist 52 [7]

Answer:

10.43398113

Step-by-step explanation:

decimal for

3 0
2 years ago
Other questions:
  • At the beginning of the day the stock market goes down 4014 40 1 4 points and stays at this level for most of the day. At the en
    6·1 answer
  • Tanner made a 3-dimensional figure out of clay. The figure had 8 vertices and 12 edges. Which figure could Tanner have made?
    10·1 answer
  • Write the equation of the line perpendicular to F(x)=5 that goes through (-1, -3)
    13·1 answer
  • Solve <br>-X^2+7(y+2)-1 x=5 y=-9​
    14·1 answer
  • Calculaye the perimeter and area of these composite shapes
    12·1 answer
  • Need help question #3. Show steps please
    9·1 answer
  • PLS ANSWER QUICKLY Write the absolute value equations in the form of |x-b|=c (where b is a number and c can be either a number o
    15·1 answer
  • Please answer below :-)
    5·2 answers
  • Best gets brainly!!!!
    12·1 answer
  • Will brainliest math is killing me mentally please answer and end my suffering.​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!