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qaws [65]
3 years ago
12

Area of triangle ABC is 3:5 with triangle DEF area of 125

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0
125 ÷ 5 = 25
25 × 3 = 75

area of ABC is 75
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PLSSS<br> please help me get the answer and how to show my work
Fed [463]

Answer:

Surface area of cubic box = 376 square inch

Step-by-step explanation:

Given:

Using net diagram

Length of cubic box = 10 inches

Width of cubic box = 6 inches

Height of cubic box = 8 inches

Find:

Surface area of cubic box

Computation:

Surface area of cuboid = 2[(lb) + (bh) + (hl)]

Surface area of cubic box = 2[(10)(6) + (6)(8) + (8)(10)]

Surface area of cubic box = 2[60 + 48 + 80]

Surface area of cubic box = 2[188]

Surface area of cubic box = 376 square inch

6 0
3 years ago
During a regular respiratory cycle, the volume of air in liters in the human lungs can be described by the function V(t) = 0.173
guapka [62]

Answer:

<h3>A. about 3.4 seconds</h3>

Step-by-step explanation:

Given the volume of air in liters in the human lungs described by the function V(t) = 0.173t +0.15t^2 - 0.035t^3 where t is the time in seconds,

The beginning of this respiratory cycle for the lungs to fill to their maximum volume of air occurs when dV/dt = 0

dV/dt = 0.173 + 0.3t - 3(0.035)t²

dV/dt = 0.173 + 0.3t - 0.105t²

Since dV/dt = 0

0.173 + 0.3t - 0.105t² = 0

multiply through by -1

-0.173 - 0.3t + 0.105t² = 0

0.105t² -0.3t-0.173 = 0

Factorize;

t = 0.3±√0.3²+4(0.105(0.173))/2(0.105)

t = 0.3±√0.09+0.07266/0.21

t =  0.3±√0.16266/0.21

t = 0.30±0.4033/0.21

t = 0.7033/0.21

t = 3.349secs

t ≈ 3.4secs

Hence it will take about 3.4secs for the lungs to fill to their maximum volume of air

7 0
3 years ago
A coin is flipped eight times where each flip comes up either heads or tails. how many possible outcomes
lukranit [14]
I think its option A as u cant answer the other 2, we don't know the chances of getting heads or tails we can only see how many of which we can get in total which is 2 as we can only get an outcome of heads or tails 
7 0
3 years ago
Suppose q is directly proportional to the square root of h and inversely proportional to the cube of j, and q=24 when h=16 and j
Afina-wow [57]

9514 1404 393

Answer:

  q = 768

Step-by-step explanation:

The proportionality relation is given as ...

  q = k(√h)/j³

Then ...

  k = q·j³/√h = 24·2³/√16 = 48

For the given values, q is ...

  q = 48·(√4)/(1/2)³ = 48·2·8

  q = 768

4 0
3 years ago
Check whether the given value is a solution to the equation.
Softa [21]

Answer:

FALSE. The correct answer is y = - 30.

Explanation:

3*(30+8) = 2(30)-6

3*38 = 60-6

114 = 54

<em><u>The correct answer is y = -30.</u></em> (Negative 30)

3*(-30+8) = 2(-30)-6

-66 = -66

6 0
3 years ago
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