We know that
1 ft--------> is equals to 12 in
the ramp is 12 inches tall----------> 1 ft tall
<span>A ramp measures------------------> 6 ft long
</span>
<span>applying the Pythagorean theorem
</span>c²=a²+b²
where
c-----> 6 ft long
a----> horizontal distance
b-----> 1 ft tall
a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft
the answer is
5.92 ft
Answer:
D. 
inches.
Step-by-step explanation:
We have been given that the circle with center O has a minor arc BSA with a length of 
inches. The central angle is 40°.
To find the circumference of circle we will use formula:
, where 
= measure of 360 degrees in radians and 
= circumference of circle.
Let us convert measure of central angle into radians.
Upon substituting our given value in the formula we will get,
Cross multiplying we will get,
Hence, the radius of our circle is 27/4 inches.
Since the circumference of circle is . Upon substituting we will get,
Therefore, circumference of our given circle will be inches and option D is the correct choice.
Consider the converses:
a) If two planes have no points in common, then they are parallel. (true)
b) If a point lies on the y-axis, then it has x-coordinate 0. (true)
c) If two angles have the same measure, then they are congruent. (true)
d) If a figure has four sides, then it is a square. (FALSE) (A figure with 4 sides may not even be a plane figure.)
Answer:
<7
Step-by-step explanation:
<7
The percentage of young adults send between 128 and 158 text messages per day is; 34%
<h3>How to find the percentage from z-score?</h3>
The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages.
We are given;
Sample mean; x' = 158
Population mean; μ = 128
standard deviation; σ = 30
We want to find the area under the curve from x = 248 to x = 158.
where x is the number of text messages sent per day.
To find P(158 < x < 248), we will convert the score x = 158 to its corresponding z score as;
z = (x - μ)/σ
z = (158 - 128)/30
z = 30/30
z = 1
This tells us that the score x = 158 is exactly one standard deviation above the mean μ = 128.
From online p-value from z-score calculator, we have;
P-value = 0.34134 = 34%
Approximately 34% of the the population sends between 128 and 158 text messages per day.
Read more about p-value from z-score at; brainly.com/question/25638875
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