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Ugo [173]
3 years ago
15

Find the value of x. Round to the nearest tenth

Mathematics
1 answer:
masha68 [24]3 years ago
5 0

Answer: x= 42.3

Step-by-step explanation:

Sqrt a^2 + b^2 - (2ab)(cos 100)

Sqrt 25^2 + 30^2 - (2)(25)(30)(cos 100)

42.3

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A local hamburger shop sold a combined total of 712 hamburgers and cheeseburgers on Tuesday. There were 62 more cheeseburgers so
hammer [34]
A local hamburger shop sold a total of 712 burgers on Tuesday

There are 62 more cheeseburgers than hamburgers

let cheeseburers = c
let hamburgers = h

h + 62 = c
c + h = 712

Plug in h + 62 for c

(h + 62) + h = 712
2h + 62 = 712
2h + 62 (-62) = 712 (-62)
2h = 650
2h/2 = 650/2
h = 325

There are 325 hamburgers sold on Tuesday

c = 325 + 62
c = 387

<em>There are 387 chesseburgers sold on tuesday </em>(in case you were wondering)


hope this helps
4 0
3 years ago
Consider an assembly line with 20 stations. Each station has a 0.5% probability of making a defect. At the end of the line, an i
vova2212 [387]
The answer is 0.4%. The probability that a unit end in a rework can be calculated using the following equation:

P(rework)= P(defects found) * P(defect)
                = .8 * .005
                = .004
                = 0.4%

Thank you for posting your question. Feel free to ask me more.
6 0
2 years ago
Solve the triangle given two angles and one side.
Rasek [7]

Answer:

a = 102.05

b = 393.76

B = 93°

Step-by-step explanation:

The law of sines tells you ...

a/sin(A) = b/sin(B) = c/sin(C)

Since the sum of angles in a triangle is 180°, angle B must be ...

B = 180° -72° -15° = 93°

and the unknown sides must be ...

a = c/sin(C)·sin(A) = 375·sin(15°)/sin(72°) ≈ 102.05192

B = 93°

b = 375·sin(93°)/sin(72°) ≈ 393.75796

_____

The rounding requirement got cut out of your picture, so we can't help you with that.

3 0
3 years ago
A circle centered at the origin has a radius of 10 units. The terminal side of an angle, Theta, intercepts the circle in Quadran
Tanzania [10]
Since the circle is centered at the origin, we can use the equations
x² + y² = r²
x = r cos θ
y = r sin θ

We know y = 8 and r = 10. Solving for x
x² + 8² = 10²
x = 6

From this equation:
x = r cos θ
6 = 10 cos θ
cos θ = 6/10 = 0.6
7 0
3 years ago
Identify the law illustrated by:20x +50 is the same as 50+20x​
Alisiya [41]

Answer:

The law is the Inverse law of Addition/Multiplication

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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