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Rudiy27
3 years ago
11

Triangle ABC is an oblique triangle. If angle A equals 57°, angle B equals 73°, and AB equals 24 in, what is the length of AC?

Mathematics
1 answer:
natulia [17]3 years ago
5 0

Step-by-step explanation:

\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}

Angle C must = [180 - 73 - 57 ] = [180 - 130] = 50°

And using rhw Law if Sines, we have.....

AB/sin C = AC/sin B → 24/sin(50) = AC/sin(73) → AC = 24*sin(73)/sin(50) = about 29.96 in

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Use the substitution method to solve this system of equations. Choose the correct ordered pair. 2x-y=10. 2x-2y=4
attashe74 [19]

Answer:

(x, y) = (8, 6)

Step-by-step explanation:

given the 2 equations

2x - y = 10 → (1)

2x - 2y = 4 → (2)

rearrange equation (1) expressing y in terms of x

y = 2x - 10 → (3)

Substitute y = 2x - 10 in equation (2)

2x - 2(2x - 10) = 4

2x - 4x + 20 = 4

- 2x + 20 = 4 ( subtract 20 from both sides )

- 2x = - 16 ( divide both sides by - 2 )

x = 8

substitute x = 8 in equation (3)

y = (2 × 8) - 10 = 16 - 10 = 6

solution is (8 , 6)


7 0
3 years ago
Read 2 more answers
A circle is drawn within a square as shown. What is the best approximation for the area of the shaded region? Use 3.14 to approx
Angelina_Jolie [31]

Answer:

168.168 square inches

Step-by-step explanation:

Given data

From the question, we can deduce that the side of the square is 28in

Hence the area of the square is

Area= 28^2

Area= 784 square inches

Also, the diameter of the circle is 28 in

The radius = 14 in

Area of circle= πr^2

Area= 3.142*14^2

Area= 3.142* 196

Area= 615.832 square inches

Therefore the area of the shaded region is

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= 784-615.832

=168.168 square inches

4 0
3 years ago
Help with 8 please I need help
Dimas [21]
You multiply the amount of mix by 3 and you milk by 3 as well...
8 0
3 years ago
TRUE REMARIED
mr Goodwill [35]

The domain and range of the new function compare to the domain and range of the original function is domain and range of the function will be same after the modification.

<h3>What is domain and range of the function?</h3>

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

Given function:

f(x)= ab^{x}

As, the value increased by 2.

Now, the value of the given function f(x) is modified such that the value of b remains same but the value of a is increased by 2.

Here, The domain and range of the function will be same after the modification.

Learn more about this concept here:

brainly.com/question/12278642

#SPJ1

7 0
2 years ago
There are 25 students in Mrs. Venetozzi's class at the beginning of the school year, and the average number of siblings for each
Rainbow [258]

Answer:

The new class average for number of siblings is 3 5/26 or 3.1923

Step-by-step explanation:

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To find the new average of siblings per student, we divide the number of siblings by the number of students.

83 / 26 = 3 5/26

the new class average for number of siblings is 3 5/26 or 3.1923

7 0
4 years ago
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