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Amiraneli [1.4K]
3 years ago
5

Solve -2.5n + 8.7 > 5.45. n < 1.3 n > 1.3 n < -5.66 n > -5.66

Mathematics
2 answers:
AVprozaik [17]3 years ago
8 0
5.45-8.7= -3.5
-3.5÷-2.5= 1.3

Since you divided by a negative number switch the signs. So it would be A. the first one
Pepsi [2]3 years ago
8 0
Subtract the 8.7 from the 5.45. then you have -2.5n>-3.25. divide the -2.5 to both sides. it's dividing by a negative, so the sign flips and you get, n<1.3 as your answer
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Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
BartSMP [9]

Answer:

905 is the perimeter

and the triangular prism is 46

Step-by-step explanation:

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4 0
3 years ago
Radium 226, which had been used for cancer treatment, decays with a half-life of 1622 years. suppose there is a 6 gram sample of
sveticcg [70]
This is a relatively simple half life calculation.
To go from 6 to 3 grams, 1622 years is required.
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3 0
3 years ago
Two trains leave New York at the same time heading in opposite directions. Train A travels at 4/5 the speed of train one. After
grandymaker [24]
<h3>Answer:  </h3><h3>speed of train A = 44 mph</h3>

=============================================

Work Shown:

x = speed of train A

y = speed of train B

"train A travels 4/5 the speed of train B" (I'm assuming "train one" is supposed to read "train B"). So this means x = (4/5)y

distance = rate*time

d = x*7

d = (4/5)y*7 = (28/5)y represents the distance train A travels

d = y*7 = 7y represents the distance train B travels

summing those distances will give us 693

(28/5)y + 7y = 693

5*(  (28/5)y + 7y ) = 5*693

28y + 35y = 3465

63y = 3465

y = 3465/63

y = 55

Train B's speed is 55 mph

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Train A's speed is 44 mph

8 0
3 years ago
Given: AABC, m_ACB=90°,<br> CD 1 AB, m ZACD=60º,<br> BC = 6 cm<br> Find: CD, Area of AABC
just olya [345]

Answer:

Look below

Step-by-step explanation:

Given that CDB is 90 degrees, ACB is 90 degrees, and ACD is 60 degrees, we can determine that DCB = 90-60 = 30 degrees.

This means triangle BCD is a 30-60-90 (angle measures) right triangle

The proportions of the sides (from smallest to largest) is

x:x√3:2x

We are given that BC = 6 cm. This means...

2x=6

x=3

This means DB is 3 cm and CD is 3√3 cm

Using the linear pair theorem, we can find that Angle CDA is 90 degrees. This means ACD is also a 30-60-90 triangle.

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x√3=9

2x=6√3

Now we need to find AB

AB = AD + DB

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AB = 12 cm

Area = \frac{1}{2} bh = \frac{1}{2}(12)(3\sqrt3)=6(3\sqrt3)=18\sqrt3

8 0
3 years ago
What is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)​
miv72 [106K]

9514 1404 393

Answer:

  x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

  x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

  x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.

8 0
3 years ago
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