Answer:
840 soles
Step-by-step explanation:
Sea la cantidad de dinero que Mateo tenía al principio = x
Mateo compró un artefacto gastando 3/7 de su dinero, dejándole 360 soles,
Por eso,
3/7 × x = 360 soles
3x / 7 = 360 soles
Multiplicar cruzada
3x = 7 × 360 soles
x = 7 × 360 soles / 3
x = 840 soles
Por tanto, el dinero que tenía Mateo al principio es de 840 soles
Answer:
It increases
Step-by-step explanation:
The mean of the given data set of 8 values is 4.75 (
)
Adding 7 into the data set also increase the number of data points to 9, so the mean becomes:
, which is equal to 5
Hope this helps
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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Answer:
True, A
Step-by-step explanation:
If you sum two different sides of a traingle it must be greater than the remaining one
We can test that by adding the two smallest sides
1+8=9
9 is obviously greater than 8, so the answer is: true
