Answer:
The following are some inequalities that represent the possible position of the playground.
2x ≥ -2 and x < -3
x + 3 ≤ 1 and –x > -3
x + 4 ≤ 2 and x + 4 > 7
2x – 1 ≥ -5 and 3x < 9
The city council planning for playground, that is more than 5 blocks from fountain and at least 2 blocks from center of park.
A solid dot on negative two points less than -2 and a circle dot on positive three points in the direction indicating greater than 3. So the right inequality is x + 3 ≤ 1 and –x > -3. That represents the possible position of ground.
Hence, the inequality x + 3 ≤ 1 and –x > -3 is the playground's possible position.
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Answer:
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Step-by-step explanation:
The answer is A) -23
A is a 1x3 Matrix while B is 3x1 Matrix. Since A has the same number of rows as that of the number of columns of B, they can be multiplied. A has 1 row and B has 1 column. So, their products is a 1x1 Matrix.
Simply, the operation is:
(3)(-1) + (-2)(4) +(6)(-2) = -23
Answer:
CD = 6 units
Step-by-step explanation:
In triangle ABC , AB is the hypotenuse then AB =√(BC)² + (AC)² = √(12)² + (9)² = 15
AB = 15
sin ∠ABC 12/15 = 0,8 Then arcsin (0.8) = 53,1°
∠ABC = 53,1° and ∠BAC = 36,9°
Now the hypotenuse is 15 units and we need to find the lenght of segment
CD. If we divide the hypotenuse in three equal segment (of lenght 5 each) we at the same time are dividing the ∠ACB ( 90°), in three equals angles of
30°.
If we now apply sin law
sin 30°/ 5 = sin 36,9°/CD
Then CD = 5 * sin 36.9° / sin 30° ⇒ CD =[ 5* (9/15) ] / 1/2
CD = 6 units
