Answer:
B.
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1 : sqrt(3) : 2
From the 1 and 2, we see that the hypotenuse must be twice the length of the short leg.
From the 1 and sqrt(3) we see that the long leg is sqrt(3) times the length of the short leg.
Now we check for these two ratios in each choice.
A.
1 is twice 1/2. Check
sqrt(3)/2 is sqrt(3) times 2. Check
B.
10 is twice 5, not twice 5/2. This does not check.
C.
2sqrt(2) is twice sqrt(2). Check
sqrt(6) is 2sqrt(2) time sqrt(3). Check
D.
6 is twice 3. Check
3sqrt(3) is sqrt(3) times 3. Check
Answer: B.
Answer:
Step-by-step explanation: . y - 7 = -3⁄4 (x +5)
1. y = -3/4(x+5) + 7
2. y = -3/4x + -15/4 + 7
3. y = -3/4x + 13/4
Answer:
Step-by-step explanation:
Starting from the y-intercept of ![\displaystyle [0, -2],](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B0%2C%20-2%5D%2C)
you do 
by either moving four blocks <em>south</em><em> </em>over one block <em>west</em><em> </em>or four blocks <em>north</em><em> </em>over one block<em> east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be <em>less</em><em> </em><em>than</em><em> </em>and <em>greater</em><em> </em><em>than</em><em> </em>since this is a <em>dashed</em><em> </em><em>line</em><em> </em>graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:
<em>Greater</em><em> </em><em>than</em>
![\displaystyle 0 > 4[0] - 2 → 0 > -2](https://tex.z-dn.net/?f=%5Cdisplaystyle%200%20%3E%204%5B0%5D%20-%202%20%E2%86%92%200%20%3E%20-2)
☑
<em>Less</em><em> </em><em>than</em><em> </em>
![\displaystyle 0 < 4[0] - 2 → 0 ≮ -2](https://tex.z-dn.net/?f=%5Cdisplaystyle%200%20%3C%204%5B0%5D%20-%202%20%E2%86%92%200%20%E2%89%AE%20-2)
This graph is shaded in the portion of the origin, so you would choose the <em>greater</em><em> </em><em>than</em><em> </em>inequality symbol to get this inequality:
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Answer:
Rate of speed = 480 feet per minutes
Step-by-step explanation:
Given:
Distance covered by bike = 960 feet
Time taken to covered distance = 2 minutes
Find:
Rate of speed = ?
Computation:
⇒ Speed = Distance / Time
⇒ Rate of speed = Distance covered by bike / Time taken to covered distance
⇒ Rate of speed = 960 / 2
⇒ Rate of speed = 480 feet per minutes
Answer:
96
Step-by-step explanation:
commom difference = d
a₆ + a₇ = 16
a₅ + a₈ = (a₆ - d) + (a₇ + d) = a₆ + a₇ = 16
a₄ + a₉ = (a₆ - 2d) + (a₇ + 2d) = a₆ + a₇ = 16
Similarly,
a₃ + a₁₀ = 16, a₂ + a₁₁ = 16, a₁ + a₁₂ = 16
so
a₁ + a₂ + ... + a₁₁ + a₁₂ = 6 x 16 = 96
