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4 years ago

Two supplementary angles are congruent. Which equation gives the measure in degrees, d, of each angle?

Mathematics

1 answer:

Eduardwww [97]4 years ago

3 0

Answer:

actually 90 degrees is wrong

Step-by-step explanation:

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Sac had a rope that was 15 feet long. He cut it into three pieces. The first piece was 3.57 feet longer than the second piece. T

harina [27]

Answer:

5.79 feet

Step-by-step explanation:

Let us represent

First piece = x

Second piece = y

Third piece = z

Sac had a rope that was 15 feet long.

x + y + z = 15

He cut it into three pieces.

The first piece was 3.57 feet longer than the second piece.

x = 3.57 + y

The third piece was 2.97 feet longer than the second piece.

z = 2.97 + y

How long was the third piece of rope?

x + y + z = 15

3.57 + y + y + 2.97 + y = 15

3y + 6.54 = 15

3y = 15 - 6.54

3y = 8.46

y = 8.46/3

y = 2.82 feet

Therefore, the length of the third piece z = 2.97 + y

z = 2.82 + 2.97

z = 5.79 feet

7 0

3 years ago

Why do we prefer the t procedures to the z procedures for inference about a population mean? Group of answer choices z requires

denis-greek [22]

Answer:

Correct option:

"z requires that you know the population standard deviation σ which may be unrealistic."

Step-by-step explanation:

The hypothesis test for significant population mean μ can be done either using the z-distribution of t-distribution.

Both the distribution require certain conditions to be fulfilled to use.

For using a z-distribution to perform a hypothesis test for μ the conditions to fulfilled are:

Population is Normally distributed.
The population standard deviation is known.
The sample selected is large.

For using a t-distribution to perform a hypothesis test for μ the conditions to fulfilled are:

Population is Normally distributed.
The sample selected is randomly selected.

If the population standard deviation is not known and we have to compute the sample standard deviation then use the t-distribution to perform the test for population mean.

Thus, the correct option is:

"z requires that you know the population standard deviation σ which may be unrealistic."

5 0

4 years ago

What is if g(x,y,z) = x + y and S is the first octant portion of the plane 2x + 3y + z = 6 ?

wel

The question asks for the value of $I=\int\int_Sx+y\textrm{ }dS$ where $S=\{(x,y,z)\mid2x+3z+y=6,x\ge0,y\ge0,z\ge0\}$ .

First let's look at what that surface looks like.

Letting $y=z=0$ yields $x=3$
Letting $x=z=0$ yields $y=2$
Letting $x=y=0$ yields $z=6$

Therefore $S$ is the area of the triangle defined by the three points $(3,0,0),(0,2,0),(0,0,6)$ .

We can thus reformulate the integral as $I=\int_{z=0}^6\int_{x=0}^{6-z}x+ydxdz$ .

By definition on the plane $y=\dfrac{6-2x-z}3$ thus $I=\int_{z=0}^6\int_{x=0}^{6-z}x+\frac{6-2x-z}3dxdz=\int_{z=0}^6\int_{x=0}^{6-z}2+\frac x3-\frac z3 dxdz$

 $I=\int_{z=0}^6\left[2x+\frac{x^2}6-\frac{zx}3\right]_{x=0}^{6-z}dz=\int_{z=0}^62(6-z)+\frac{(6-z)^2}6-\frac{z(6-z)}3\right]dz$

 $I=\int_{z=0}^6\frac{z^2}2-6z+18=\left[\frac{z^ 3}6-3z^2+18z\right]_{z=0}^6=36-108+108$ 

Hence $\boxed{I=\int\int_Sx+y\textrm{ }dS=36}$

8 0

3 years ago

The width of a rectangle is 12 less than twice the length, and the area of the rectangle is 270m2.

NikAS [45]

Answer:

Step-by-step explanation:

8 0

3 years ago

2-3(3-6)^2 divided by 1/2

Lesechka [4]

Answer:

-11.5

Step-by-step explanation:

I just did it on the calculator :)

6 0

3 years ago