Answer:
31.5 ft
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
Plug in the knowns
a² + 23² = 39²
Subtract 23² from both sides
a² = 39² - 23²
a² = 1521 - 529
a² = 992
Take the square root of both sides
a = 31.496031496
Rounded
a = 31.5 ft
Answer:
The graph of f(x) is shifted k units to the right of the graph of g(x).
Step-by-step explanation:
Given the function and where k <0.
As, horizontal depends on the value of x and are when
g(x)=f(x+h) graph shifted to left.
g(x)=f(x-h) graph shifted to right.
Now, given
But here k is negative, when k is considered positive then f(x) becomes
⇒ The graph of f(x) is shifted k units to the right of the graph of g(x).
Correct option is B.
Answer: True
One angle of a right triangle = 90°
Let x = the acute angle of one angle.
Let y = the angle of the other angle.
Because the sum of angles in a triangle is 180°,
x + y + 90 = 180
x + y = 90
y = 90 - x
Therefore the angles for each of the two triangles are
x, 90° - x, 90°.
The two triangles are therefore similar because of AAA (Angle, Angle, Angle).
Answer:
90
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say I love you
Answer:
The mean for the sampling distribution of the sample proportion is 0.29
The standard deviation for the sampling distribution of the sample proportion is 0.01435
Step-by-step explanation:
The mean for the sampling distribution of the sample proportion is always equal to the true population proportion, in this case; p = 0.29
The standard deviation for the sampling distribution of the sample proportion is calculated as;
Using the given values;
p = 0.29
1 - p = 0.71
n = 1000
The standard deviation becomes;
The s.d becomes 0.01435
