Answer:
hertz (Hz)
Explanation:
The SI unit for frequency is the hertz (Hz). One hertz is the same as one cycle per second.
Answer:
I think it´s set 3.
Step-by-step explanation:
Answer:
165m
Question:
Artur, Olga and Wiktor participated in the race. They started from the same place at the same time and run at constant speeds. When Artur finished the race, Olga was 15 m to the finish,
and Wiktor was 35 m. When Olga finished the race, Wiktor remained 22 m to the finish. At what distance was the race held?
Step-by-step explanation:
Let Artur distance covered be =>x
When Artur covered distance x:
Olga was 15m from x
Olga = x - 15
Wiktor was 35m from x
Wiktor = x - 35
When Olga covered distance x:
Wiktor was 22m from x
The ratio of Olga to Wiktor:
(x-15)/(x-35) = x/(x-22)
Cross multiply
(x-15)(x-22) = x(x-35)
x² - 15x - 22x + 330 = x² - 35x
x² -37x +330 - x² + 35x = 0
-2x = -330
x = (-330)/(-2)
x = 165m
The race held at 165m distance
Answer:
(2, 0)
(0, -2)
Step-by-step explanation:
A linear function has the form y = Ax + B
where A is the slope, and B is the y intercept
we are told the slope is 1,
y = (1)x + B
now we can plug in the x and y from the known point
2 = 4 + B
B = -2 so the y intercept is (0, -2)
y = x - 2 is the function
The zero occurs when y = 0
0 = x - 2
x = 2 so the zero is (2, 0)
Answer:
m∠WXY + m∠YXZ = 180°
Replacing with the real values:
75° + m∠YXZ = 180°
m∠YXZ = 180° - 75°
<u>m∠YXZ = 105°</u>
Step-by-step explanation:
1. Let's review all the information provided to us to answer the question correctly:
∠WXY and ∠YXZ are supplementary angles
m∠WXY=75°
2. Prove : m∠YXZ=105°
Let's recall that supplementary angles are those angles whose sum is 180 degrees. Therefore,
m∠WXY + m∠YXZ = 180°
Replacing with the real values:
75° + m∠YXZ = 180°
m∠YXZ = 180° - 75°
<u>m∠YXZ = 105°</u>