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:
Their will be enough water for each student to consume 2 cups of water.
Step-by-step explanation:
Grade 3, 4 and 5 have their annual field day together . Each grade level is given 16 gallons of water. This means the three grades have 16 × 3 = 48 gallons of water.
The total students involved is 350 student. The total student is the sum of the student in all three grades.
Since the water will be distributed to the students in cups let us convert gallons to cups.
1 gallons = 16 cups
48 gallons = ? cups
cross multiply
48 × 16 = 768 cups.
768 cups of water is available to be shared among the 350 students.
1 student is entitled to 2 cups of water.
350 students will consume 350 × 2 = 700 cups of water.
Therefore, their will be enough water for each student to consume 2 cups of water.
The answer is
<span>a) 1000=-16t^2+1700, implies t² = -700 /-16, and t= 6.61s
b) </span><span>970= -16t^2+1700, </span><span>implies t² = -730 /-16, and t=6.75s
c)
reasonable domain of h
h is polynomial function, so its domain is R, (all real number)
its range
the inverse of h is h^-1 = sqrt (1700- t / 16), and its domain is </span>
<span><span><span>1700- t / 16>=0, so t <1700,
the range of h is I= ]-infinity, 1700]</span> </span> </span>
Answer:
Probability=
Step-by-step explanation:
As it is given that
Probability of toy A is defective is =P(A) = 
Probability of toy b is defective if A is defective = P (B)=
WE have to find the P(A n B)
By the law of Probability
P(A n B) = P (A).P(B)
putting the values given to us
P(AnB)= *
Probability=
Answer:
Option D (-4,7)
Step-by-step explanation:
we have
Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4
<u><em>The question is</em></u>
Find out the coordinates of U'
Part a) Reflection: in the y-axis
we know that
The rule of the reflection of a point across the y-axis is
(x,y) -----> (-x,y)
so
U(-1,0) -----> U'(1,0)
Part b) Translation (x,y) —> (x-5,y+7)
That means ---> the translation is 5 units at left and 7 units up
so
U'(1,0) -----> U''(1-5,0+7)
U'(1,0) -----> U''(-4,7)
therefore
Option D (-4,7)
