All categories

3 years ago

(Geometry: Reasoning and Proof)

Mathematics

1 answer:

djyliett [7]3 years ago

7 0

Answer:

Reason 1: As provided by the question

Statement 2: 4x = 8x - 16

Reason 3: Collective Like terms property

Reason 4: Equality property

Step-by-step explanation:

Reason 1: As provided by the question

Statement 2: 4x = 8x - 16

Reason 3: Collective Like terms property

Reason 4: Equality property

You might be interested in

1.The base length of a rectangle is multiplied by 8. How does this affect the area?

earnstyle [38]

Answer:

2x bigger

Step-by-step explanation:

because if you split the rectange in half, it would be 2x?

3 0

3 years ago

Read 2 more answers

Which is a measure of the efficiency of an investment?

DiKsa [7]

Answer:

The correct answer is option B. Return on Investment.

Step-by-step explanation:

The return on investment is used when we want to measure the capacity of an investment, or compare it among several other investments.

Here the <u>benefit of a certain investment will be compared in contrast to the money invested. </u>

To calculate the return on investment there is a formula which will give us a percentage:

ROI = Margin on sales X asset turnover.

Now let's clarify what each of these things is:

Margin on sales: it is the result obtained from the calculation of benefits / sales.

Asset Rotation: this is the result obtained from the calculation of Average Total Sales / Assets.

7 0

3 years ago

Read 2 more answers

Enter the amplitude of the function f(x).<br><br> f(x)=−sin(3x)−1

77julia77 [94]

Enter the amplitude of the function f(x). f(x)=-2sin(3x)-1 . 2. See answers. Log in to add comment. Answer. Answer. 5.0/5. 5.0/5.

5 0

2 years ago

Anna surveyed 300 of the students in her school about their favorite color. 186 students said their favorite color was red. What

MArishka [77]

Answer:

62%

Step-by-step explanation:

I took a fraction and made a decimal which was made into a percentage.

186 ÷ 300 = .62

Check: 62% • 300 = 186

6 0

3 years ago

A surveyor leaves her base camp and drives 42km on a bearing of 032degree she then drives 28km on a bearing of 154degree,how far

ValentinkaMS [17]

Answer:

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

Step-by-step explanation:

The final position of the surveyor is represented by the following vectorial sum:

$\vec r = \vec r_{1} + \vec r_{2} + \vec r_{3}$ (1)

And this formula is expanded by definition of vectors in rectangular and polar form:

$(x,y) = r_{1}\cdot (\cos \theta_{1}, \sin \theta_{1}) + r_{2}\cdot (\cos \theta_{2}, \sin \theta_{2})$ (1b)

Where:

$x, y$ - Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.

$r_{1}, r_{2}$ - Length of each vector, in kilometers.

$\theta_{1}, \theta_{2}$ - Bearing of each vector in standard position, in sexagesimal degrees.

If we know that $r_{1} = 42\,km$ , $r_{2} = 28\,km$ , $\theta_{1} = 32^{\circ}$ and $\theta_{2} = 154^{\circ}$ , then the resulting coordinates of the final position of the surveyor is:

$(x,y) = (42\,km)\cdot (\cos 32^{\circ}, \sin 32^{\circ}) + (28\,km)\cdot (\cos 154^{\circ}, \sin 154^{\circ})$

$(x,y) = (35.618, 22.257) + (-25.166, 12.274)\,[km]$

$(x,y) = (10.452, 34.531)\,[km]$

According to this, the resulting vector is locating in the first quadrant. The bearing of the vector is determined by the following definition:

$\theta = \tan^{-1} \frac{10.452\,km}{34.531\,km}$

$\theta \approx 16.840^{\circ}$

And the distance from the camp is calculated by the Pythagorean Theorem:

$r = \sqrt{(10.452\,km)^{2}+(34.531\,km)^{2}}$

$r = 36.078\,km$

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

5 0

3 years ago

(*Geometry: Reasoning and Proof*)

(Geometry: Reasoning and Proof)