Answer:
B or (-1)(1/2)(-1)(1)
Step-by-step explanation:
-4/5 is closest to (-1)
3/5 is closest to 1/2
-6/7 is closest to (-1)
5/6 is closest to 1
hope this helps
Let stadium 1 be the one on the left and stadium 2 the one on the right.
Angle above stadium 1 is 72.9° and the angle above stadium 2 is 34.1° using the angle property of alternate angles(because both the ground and the dotted line are parallel).
For the next part we need to use the trigonometric function of tangent.
As tan x = opposite / adjacent,
Tan 72.9°=1500/ adjacent ( the ground from O to stadium 1)
Therefore the adjacent is 1500/tan 72.9°= 461.46 m( to 5 s.f.)
Same for the next angle,
Tan 34.1°=1500/ adjacent ( the ground from O to stadium 2)
Therefore, the adjacent is 1500/tan 34.1° = 2215.49 m (to 5 s.f.)
Thus, the distance between both stadiums is 2215.49-461.46= 1754.03 m
Correcting the answer to whole number gives you 1754 m which is the option C.
Answer:
Equivalent expression for n x a = a+ a+a+a....n times
Step-by-step explanation:
Given: Expression for n x a .
To find : Write an equivalent expression for n x a using only addition.
Solution : We have given that n x a .
Here, we can say Sum of a is n times.
We can rewrite it n x a = a+ a+a+a....n times.
Example : 3 x 2 = 2 +2+ 2.
6 = 6 ( true)
Therefore , equivalent expression for n x a = a+ a+a+a....n times.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data below:
Time, t (hours)__1.0__1.5__2.0__2.5__3.0
C(t) (mg/mL)__0.35_0.26_0.20_0.14_0.09
Average change of C with respect to t over the interval :
(i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]
Average change = ( change in C / change in t) = C2 - C1 / t2 - t1
1) [1.0, 2.0]
C at t = 1 = 0.35 ; C at t = 2 = 0.20
(0.20 - 0.35) / (2 - 1) = - 0.15 / 1 = - 0.15 mg/mL hr
11) [1.5, 2.0]
(0.20 - 0.26) / (2.0 - 1.5) = - 0.06 / 0.5 = - 0.12 mg/mL hr
111) [2.0, 2.5]
(0.14 - 0.20) / (2.5 - 2.0) = - 0.06 / 0.5 = - 0.12mg/mL hr
iv) [2.0, 3.0]
(0.09 - 0.20) / (3.0 - 2.0) = - 0.11 / 1.0 = - 0.11 mg/mL hr
Answer: C. 
is the missing statement.
Explanation: Given: ΔABC with m∠ABC = 90° (view diagram)
Prove: 
Proof: 1. Draw 
(construction)
2. 
(Angles with the same measure are congruent.)
3. (Reflexive Property of Congruence)
4. 
(AA criterion for similarity)
5. BC:DC=AC:BC (Corresponding sides of similar triangles are proportional.)
6.
(cross multiplication)----------(1)
7. 
(Angles with the same measure are congruent)
8. 
(Reflexive Property of Congruence)
9. 
(AA criterion for similarity)
10. AB:AD=AC:AB⇒
--------------(2)
equation (1) + equation (2) ⇒
⇒
