Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?
5.8
A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?
9.8
A television is measured by its diagonal. If the height of a 70 inch television is 42 inches, what is the width?
56
An equilateral triangle has a side length of 6. What is the height of the triangle?
5.2
A right triangle has a height of 12 and a width of 5. How long is the diagonal?
13
A string is tied to the top of a plant to keep it stabilized. The plant is 5 feet tall and the string is connected to the ground 2 feet from the base of the plant. How long is the string?
5.4
The answer is D .. one hundred random students from the sixth grade
ANSWER

EXPLANATION
Part a)
Eliminating the parameter:
The parametric equation is


From the first equation we make t the subject to get;


We put it into the second equation.


We differentiate to get;

At x=5,


The slope of the tangent is 2.
The equation of the tangent through
(5,6) is given by




Without eliminating the parameter,



At x=5,



This implies that,

The slope of the tangent is 2.
The equation of the tangent through
(5,6) is given by



So the equation of a circle is (x - h)² + (y - k)² = r² where (h,k) are the coordinates of the center of the circle and r is the radius. The diameter of a circle is a line that goes from one point of the circle to the other through the center of the circle. Well the center would be midway through the diameter so use midpoint formula to find the center which is (h,k) Mid point formula is both given x's added together divided by 2 for h and both y coordinates added together divided by 2 to find k
(10+0)/2
10/2= 5
(12+2)/2
14/2 = 7
so the center of the circle is (5,7) now use distance formula using the center and one of the points to the radius
√((5-10)²+(7-12)²)
√(-5²+ -5²)
√(25 + 25)
√50 is the radius
Now plug all found information into circle equation
(x-5)² + (y-7)² =50 note the end is 50 because the circle equation is radius squared and since the radius is √50, radius² is 50.
Answer is c
Steps:
1: p=0.2
2: n = 17
3: n*p= 17*0.2=3.4
Description:
The person will spend less than 20 or o.2 as seen in the question. Meaning p will equal 0.2. P for probability. Now n is for number. n will equal 17. And then we have to times all the number. N times P will equal 17 then times it by 0.2= Answer will come as 3.4.
Answer: 3.4
The correct answer for this question is 3.4
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<em><u>Hope this helps.</u></em>