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2 years ago

The results of two drained triaxial tests on a saturated clay are given here:

Mathematics

1 answer:

dezoksy [38]2 years ago

3 0

Lol that's so cool just give me the poonts

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An equilateral triangle has a perimeter of 48 cm. What is the area?

KiRa [710]

Answer:

$A=64\sqrt{3}\ cm^2$

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

The perimeter is equal to

$P=3b$

where

b is the length side of the equilateral triangle

we have

$P=48\ cm$

substitute

$48=3b$

solve for b

$b=48/3\\b=16\ cm$

Find the area

The formula of area applying the law of sines is equal to

$A=\frac{1}{2}b^2sin(60^o)$

substitute the value of b

$A=\frac{1}{2}(16)^2sin(60^o)$

$sin(60^o)=\frac{\sqrt{3}}{2}$

$A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})$

$A=64\sqrt{3}\ cm^2$

6 0

2 years ago

Which point is a solution to the system;

Monica [59]

Answer:

None of the listed

Step-by-step explanation:

$Solve-for ;x -in\\ 2x+2y =18\\x = 9-y\\Substitute , 9-y -for ,x- in -2x-2y=-6\\-2(9-y)-2y =-6\\18+2y-2y=-6\\18 = -6\\The -statement- is -false \\Answer ; No -Solution$

3 0

3 years ago

Someone plz help me fast for my exam

olasank [31]

Answer:

A<w

Step-by-step explanation:

Hopefully this helps

8 0

2 years ago

Need answer ASAP !!!!

kondor19780726 [428]

Answer:

y = -1/4x^2 - x + 3

Step-by-step explanation:

(-6,0)

(-4,3)

(2,0)

36a - 6b + c = 0

16a -4b + c = 3

4a + 2b + c = 0

c = -4a - 2b

36a - 6b - 4a -2b = 0

16a - 4b -4a - 2b = 3

32a -8b = 0

12a - 6b = 3

4a - b = 0

4a - 2b = 1

b = -1

4a + 1 = 0

4a = -1

a = -1/4

c = 1 + 2 = 3

y = -1/4x^2 - x + 3

4 0

3 years ago

Read 2 more answers

A bag contains 6 red marbles, 10 white marbles, and 7 blue marbles. You draw 4 marbles out at random, without replacement. What

Lapatulllka [165]

Answer:

3/1771

Step-by-step explanation:

Probability is the chance or likelihood that an event will occur.

Probability = expected outcome/total outcome

Total outcome = total number of marbles

Total outcome = 6+7+10 = 23marbles

If four marbles are drawn, the probability that they are all red is expressed as;

Pr(picking the first red marble) = 6/23

Since it is without replacement, the total marble becomes 22

Pr(picking the second) = 5/22

Pr(picking the third marbles = 4/21

Pr(picking the 4th marble) = 3/20

Note that the number of red marbles keep reducing and the total marble keep reducing as well.

Pr(picking the 4marbles) = 6/23×5/22×4/21×3/20 (we multiplied because or is an independent events)

Pr(picking the 4marbles) = 360/212520

Pr(picking 4 red marbles) = 72/42504 =36/21,252

= 9/5313

= 3/1771

Hence the probability of picking 4 marbles at random without replacement is 3/1771

4 0

3 years ago