Answer:
6 units
Step-by-step explanation:
Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.
To find: Length of GH.
Sol: EC = CH = 9 (Radius of the same circle are equal)
Now, GC = GH + CH
GC = GH + 9
Now In ΔEGC, using pythagoras theorem,
......(ΔEGC is a right triangle)





Now, Let GH = <em>x</em>

On rearranging,




So x = 6 and x = - 24
∵ x cannot be - 24 as it will not satisfy the property of right triangle.
Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.
Answer:
= 0.1893939
Step-by-step explanation:
We have given that there are 5,280 feet in a mile.
Number of feet in a mile = 5,280
Now we will convert feet into miles.
To convert 1000 feet into mile we will multiply it by 1/5280
1000 feet = 1000 * 1/5280
1000/5280
= 0.1893939
Therefore the answer is = 0.1893939....
Answer:
it means the the line falls on 9 on the x-axis
and intersects at 378 on the y-axis
Step-by-step explanation:
hope that helped
Answer: Option: (B) The range of both f(x) and g(x) is all nonzero real numbers is correct.
Step-by-step explanation: ..................Because I said so............................
<span>For the question "Mike's closing costs will add up to 4 percent and he'll make a down payment of 20 percent on a house that costs $210,000. Over the life of his loan, he will pay $197,040.76 in monthly payments. What is the total cost of his house?"
To obtain the total cost of the house, we first obtain the amount he paid as the closing costs and the down payment he paid which we will add to the total amount paid in monthly payments.
Closing cost = 4% of $210,000 = 0.04 x 210,000 = $8,400
Down payment = 20% of $210,000 = 0.2 x 210,000 = $42,000
Total monthly payments = $197,040.76
Total cost of the house = $8,400 + $42,000 + $197,040.76 = $247,440.76</span>