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
vlada-n [284]
3 years ago
12

Find the area of the given triangle to the nearest square unit. A =___ square units

Mathematics
1 answer:
never [62]3 years ago
7 0
We know that

the law of sinus established
a/sin A=b/sin B=c/sin C
so
A=30°
B=45°
b=10 units
a/sin A=b/sin B---------> a/sin 30=10/sin 45------> a=10*sin 30/sin 45
a=7.07 units
C=180-(A+B)-------> C=180-(75°)-----> C=105°
b/sin B=c/sin C--------> c=b*sin C/sin B----> c=10*sin 105/sin 45
c=13.66 units

Area=(1/2)*b*c*sin A-------> Area=(1/2)*10*13.66*sin 30°-----> 34.15 units ²

the area of triangle is 34 units²



You might be interested in
Your bank balance decreased by $9.54 on Monday, and you made a $17.23 deposit on Tuesday. On Wednesday, you spent $4.67 from you
QveST [7]

Answer: $9.54 +$17.23 = $26.77

$26.77. - $4.67= $22.10

$22.10 - $19.50 = $2.60

2.60+ $10.75 = $13.35

Step-by-step explanation:

8 0
3 years ago
What is the length of FG?
kodGreya [7K]

Answer:

B. 4

Step-by-step explanation:

If Triangle ABC is congruent to Triangle EFG, then A = E, B = F, and G = C.

In this case, we want to find FG. BC is congruent to FG. Therefore, FG is 4 inches.

5 0
3 years ago
Does the point (–3, 4) satisfy the equation y = –2x + 5? Yes Or No
Mekhanik [1.2K]

Answer:

No

Step-by-step explanation:

y = -2x + 5

4 = -2(-3) + 5 - Substitute both x and y

4 = 6 + 5 - Simplify

4 ≠ 11

Hence, no, (-3, 4) doesn't statify the equation y = -2x + 5

6 0
2 years ago
Product in standard form (explain)<br> (3+6i)(4+9i)
ololo11 [35]
First you have to factor (aka, multiply) your binomial (which is what you have written) usually it helps to organize your thinking, and help tell what you need to multiply, to use the binomial chicken(or crab claw, what ever you want to call it) which basically you draw two arches, one arch connecting the 3 and 4, and then the other the 3 and 9i. on the opposite side (depending on wheater you connected then from the top or bottom) you connect (with an arch) the 6i and the four, and then the 6i to the 9i.

so now you multiply each piece you've connected:
3 x 4= 12
3 x 9i= 27i 
6i x 4= 24i
6i x 9i= 54i^2 

after  you've done this you can move on to  putting it into standard form, which just means you put things in descending order, depending on how many exponents the x (or in this case i) has.
your largest exponent is 54i^2, so that's first in out equation, next 27i, and 24i (you can combine these because they are like term) which equals 51i, after that you just add the 12 on the end, so the final equation looks like this:

54i^2+51i+12


4 0
3 years ago
Identity the type of sequence 4, -4, 4, -4
AveGali [126]

Answer:

Periodic

Step-by-step explanation:

Because the terms repeat, this is a periodic sequence.

7 0
2 years ago
Other questions:
  • Which statement is true?
    15·1 answer
  • If earl runs 25 meters in 10 seconds how many meters does earl run per second?
    12·2 answers
  • Malia created a correct function table using the equation g = 4f. Which table could be Malia's? A. B. C. D. 
    10·2 answers
  • Find the GCF of -10c2d and 15cd2.
    13·1 answer
  • Pharmex is a chain of drugstores that operate around the country. To see how effective its advertising and other promotional act
    9·1 answer
  • What is the result of 6÷3/8?
    7·2 answers
  • Solve the linear equation.<br><br>2 (x + 7) = 6x + 9 - 4x​
    12·1 answer
  • Let n be a natural number such that n + 1, n + 3, n + 7, and n + 9 are prime numbers. Additionally, the numbers n + 31, n + 33,
    5·1 answer
  • 0.38 · 32 12/19 − 4 7/30 ÷ 0.6=
    6·1 answer
  • Help please.... almost done.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!