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3 years ago

Calculate the area of the shape below.

Mathematics

2 answers:

hammer [34]3 years ago

6 0

Answer:

zfsdfsdf

Step-by-step explanation:

dfsdfsf

Kobotan [32]3 years ago

5 0

Answer:

il say its B

Step-by-step explanation:

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Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Civil engineers investigated the

Kitty [74]

Answer:

a) 0.9078

b) 0.9832

c) T = 2.9867

Step-by-step explanation:

Given:-

T ~ N (2.7 , 0.8 )

Find:

Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa.

Find the probability that the tip resistance will exceed 1.0 MPa.

Find a value of tip resistance, T, such that 36% of all soil samples have tip resistance values that exceed T

Solution:

a) To find the P ( 1.3 < x < 4.0 ) we will first compute the z-score values:

P (1.3 < x < 4.0 ) = P ( (1.3 - 2.7)/0.8 < Z < (4.0 - 2.7)/0.8)

P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625)

- Using the Z-table values we can evaluate the probability:

P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625) = 0.9078

b) To find the P ( x > 1 ) we will first compute the z-score values:

P ( x > 1.0 ) = P ( Z > (1.0 - 2.7)/0.8)

P ( x > 1.0 ) = P ( Z > -2.125)

- Using the Z-table values we can evaluate the probability:

P ( x > 1.0 ) = P ( Z > -2.125) = 0.9832

c) To find the P ( x > T ) we will first compute the z-score values:

P ( x > T ) = P ( Z > (T - 2.7)/0.8) = 0.36

- We will search for the z value with the condition above from Z-table.

P ( Z > (T - 2.7)/0.8) = 0.36, Z = 0.358375

- Hence, we calculate for T:

T = 0.358375*0.8 + 2.7

T = 2.9867

5 0

3 years ago

On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)

aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = $(\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})$

OP.Cosθ = 1×Cosθ = $\frac{1}{\sqrt{2}}$

Cosθ = $\frac{1}{\sqrt{2}}$

θ = $\frac{\pi }{4}+2\pi n$ , $\frac{7\pi }{4}+2\pi n$ where n = integers

Similarly, OP×Sinθ = 1×Sinθ = - $\frac{1}{\sqrt{2}}$

Sinθ = - $\frac{1}{\sqrt{2} }$

θ = $\frac{5\pi }{4}+2\pi n$ , $\frac{7\pi }{4}+2\pi n$ where n = integer

Common value of θ will be, θ = $\frac{7\pi }{4}$

Option B will be the answer.

5 0

3 years ago

Which is the solution to the inequality?

I am Lyosha [343]

Answer: A

Step-by-step explanation:

Subtract 12 from both sides:

y + 15 - 15 < 3 - 15

Simplify:

y < -12

8 0

2 years ago

Can someone please help I really need this to be correct.

kupik [55]

I think it’s 22 or 23...I’m so sorry if it’s wrong :/

8 0

3 years ago

Cos(-170°) = _____<br><br> -cos10°<br> cos10°<br> cos(-10°)

ikadub [295]

<em>The right answer for:</em>

<h2>Explanation:</h2>

The cosine function is an even function, which means that for every point $(x,y)$ on the graph of $y=cos(x)$ then the point $(-x,y)$ also lies on the graph of the function. In other words, we can write:

$cos(-170^{\circ})=cos(170^{\circ})$

But:

$170^{\circ}=180^{\circ}-10^{\circ}$

So:

$cos(170^{\circ})=cos(180^{\circ}-10^{\circ})$

By property:

$cos(a-b)=cosacosb+sinasinb \\ \\ a=180^{\circ} \\ \\ b=10^{\circ} \\ \\ cos(170^{\circ} )=cos(180^{\circ} -10^{\circ})=cos180^{\circ} cos10^{\circ} +sin180^{\circ} sin10^{\circ} \\ \\ cos(170^{\circ})=-cos(10^{\circ})+0 \\ \\ \boxed{cos(170^{\circ})=-cos(10^{\circ})}$

<h2>Learn more:</h2>

Trigonometric functions: brainly.com/question/2680050

#LearnWithBrainly

4 0

3 years ago