There would be 138 students in 6 classes because first you'd divide 207 from 9 and get 23 then you'd multiply 23 to 6 and get 138.
9514 1404 393
Answer:
34.6 ft
Step-by-step explanation:
The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...
a² + b² = c²
a = √(c² -b²)
base-to-string = √(39² -18²) = √1197 ≈ 34.598
The distance from the base of the pole to the end of the string is about 34.6 feet.
Answer:
H
Step-by-step explanation:
The parallel line BC divides the sides AD and AE in proportion, that is
=
, that is
=
( cross- multiply )
3AC = 8 ( divide both sides by 3 )
AC =
= 2
, hence
AE = AC + CE
= 2
+ 4 = 6
→ H
Answer:
24 ft sq.
Step-by-step explanation:
formula for area of triangle is: bh/2
8(6)/2 = area
48/2 = area
24 = area
<span>In logic, the converse of a conditional statement is the result of reversing its two parts. For example, the statement P → Q, has the converse of Q → P.
For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the converse is 'if a figure is a parallelogram, then it is rectangle.'
As can be seen, the converse statement is not true, hence the truth value of the converse statement is false.
</span>
The inverse of a conditional statement is the result of negating both the hypothesis and conclusion of the conditional statement. For example, the inverse of P <span>→ Q is ~P </span><span>→ ~Q.
</span><span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the inverse is 'if a figure is not a rectangle, then it is not a parallelogram.'
As can be seen, the inverse statement is not true, hence the truth value of the inverse statement is false.</span>
</span>
The contrapositive of a conditional statement is switching the hypothesis and conclusion of the conditional statement and negating both. For example, the contrapositive of <span>P → Q is ~Q → ~P. </span>
<span><span>For the given statement, 'If a figure is a rectangle, then
it is a parallelogram.' the contrapositive is 'if a figure is not a parallelogram,
then it is not a rectangle.'
As can be seen, the contrapositive statement is true, hence the truth value of the contrapositive statement is true.</span> </span>