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Oxana [17]
3 years ago
12

Solve the triangle. A = 54°, b = 11, c = 8

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0
In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.

For finding side a, you can answer this easily by the Law of Cosines. The equation is

a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9 

Then, we use the Law of Sines to find angles B and C. The formula would be

a/sinA = b/sinB = c/sinC
9/sin54° =  11/sinB
B = 80.4°

9/sin54° = 8/sinC
C = 45.6°

The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
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El área de un rectángulo se calcula multiplicando la longitud de la base por la longitud de la altura. La base del rectángulo mi
NemiM [27]

Answer:

the height of the rectangle is 13 cm

Step-by-step explanation:

The computation of the height of the rectangle is shown below:

As we know that

Area of rectangle =  base × height

156 cm^2 = × 12 × height

So, the height is

= 156 ÷ 12

= 13 cm

hence, the height of the rectangle is 13 cm

7 0
3 years ago
Check my answers, please.
Artyom0805 [142]
You have all five questions correct. Nice work

-------------------------------

Problem 1: There are 8 spaces labeled 1 though 8 so the proper sample space is {1,2,3,4,5,6,7,8} which is basically all the possible outcomes

Problem 2: There is one "3" out of 8 total, so 1/8 is the probability of landing on 3

Problem 3: There are 4 spaces that are even {2,4,6,8} out of 8 total {1,2,3,4,5,6,7,8}. So 4/8 = 1/2

Problem 4: There are 4 blue out of 3+5+4 = 12 total, so 4/12 = 1/3

Problem 5: We got 24 red out of 40 total, so 24/40 = 3/5
6 0
4 years ago
What is the slope of a line perpendicular to the line whose equation is
Marina86 [1]

Answer:

The slope of a line perpendicular to the line whose equation is 4x - 5y = 10 is -5/4.

Step-by-step explanation:

provided the equation;

4x- 5y=10.(let it be equation of line1 )

and the other line be line2

from perpendicularty principle

M1×M2= -1

BUT for M1(slope of line L1)

y= mx+c

where "c" is constant value.

"m" is slope.

therefore

5y= 4x - 10

(dividing by five throughout)

y=(4x/5) - 2

y= (4/5)x - 2

therefore M1= (4/5)

Returning back to our principle

M1×M2= -1

(4/5)M2=-1

<u>M2= -5/4</u>

3 0
3 years ago
Mario was asked by his teacher to express 33% in ratio, fraction, and decimal. Which of the following table do you think is an e
Lera25 [3.4K]

The equivalent value of 33% expressed in a ratio, fraction, and decimal is 33 : 100, 33/100 and 0.33 respectively

<h3>Ratio, Fraction and decimal</h3><h3 />

33%

In ratio:

33%

= 33 / 100

= 33 : 100

In fraction:

33%

= 33/100

In decimal:

33%

= 33/100

= 0.33

Therefore, the equivalent value of 33% expressed in a ratio, fraction, and decimal is 33 : 100, 33/100 and 0.33 respectively

Learn more about ratio:

brainly.com/question/2328454

#SPJ1

5 0
1 year ago
What should I put in A, B?<br> Should I put 5 or 1 in A ?<br> 9 or 4 in B?
Sladkaya [172]

Answer:

n(A) = 5 and n(B) = 9

Step-by-step explanation:

It should be 5 in A and 9 in B

7 0
2 years ago
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