Given that <span>a bag contains 26 tiles marked with the
letters A through Z.
The probability of picking a letter from the name JACK is 4 / 26
The probability of picking a letter from the name BEN is 3 / 26.
Therefore, the probability of picking a letter from
the name JACK or from the name BEN iis given by 4 / 26 + 3 / 26 = 7 / 26 </span>
Answer:
x = 5
Step-by-step explanation:
We have: The sum of the measures of angle M and angle R is 90°
M + R = 90°
M = (5x + 10)°
Plug M into (1)
the equation: (5x + 10)° + R = 90° (2)
R=55° into (2)
(5x + 10)° + 55° = 90°
5x + 10 + 55 = 90
5x + 65 = 90
5x = 25
x = 5
Answer:
x = 8*root3
y = 16
Step-by-step explanation:
You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:
the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!
Another shortcut:
The longer leg is the shorter leg × root3.
This ALWAYS works on 30°-60°-90° triangles.
So on your triangle, the short side is 8, that means the longer leg is 8×root3.
ta-daaaa!
Answer:
B) 1.
Step-by-step explanation:
x^2 - 8x + 7 = 0
(x - 1)(x - 7) = 0
x= 1, 7.
Answer:
0.44ft/hr
Step-by-step explanation:
Given parameters:
Quantity of rainfall = 8inches
1ft = 12inches
so;
= 0.67ft
Time = 
hr
Unknown:
Rate of rainfall expressed in ft/hr = ?
Solution:
The rate of the rainfall is given as;
Rate = 
Rate = 
= 0.44ft/hr
