Write an equation of the line with a slope of<br> 3 and y-intercept of -8

An arc has a length of 123.53 millimeters and a radius of 28 millimeters. What is the measure of the angle of the sector in degr

nadezda [96]

Answer:

Step-by-step explanation:

The formula for arc length in terms of degrees is

$A.L.=\frac{\theta}{360}*2\pi r$ and we have everything we need to fill in to find the angle measure.

$123.53=\frac{\theta}{360}*56\pi$ which is the same as

$123.53=\frac{56\pi \theta}{360}$ and

$360(123.53)=56\pi \theta$ and

$\frac{360(123.53)}{56\pi}=\theta$ so

θ = 253°

4 0

3 years ago

Helppppppppppppppp plsssssssssssssssss

Burka [1]

Lol the answer is 41

4 0

3 years ago

Read 2 more answers

Focusing on describing or explaining data versus going beyond immediate data and making inferences is the difference between ___

ch4aika [34]

Answer:

descriptive and inferential statistics.

Step-by-step explanation:

Science can be defined as a branch of intellectual and practical study which systematically observe a body of fact in relation to the structure and behavior of non-living and living organisms (animals, plants and humans) in the natural world through experiments.

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Systematic sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Opportunity or convenience sampling.

Focusing on describing or explaining data versus going beyond immediate data and making inferences is the difference between descriptive and inferential statistics because descriptive statistics focuses on describing or explaining data contained in a population or obtained as a sample while inferential statistics is solely based on drawing an inference from a sample or population.

7 0

3 years ago

Pls answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! asap

levacccp [35]

Refer to the attached diagram for further a visual explanation. As per the given information, segments (AB) and (AD) are congruent. Moreover, segments (AC) and (AE) are also congreunt. One is also given that angles (<BAD) and (<EAC) are congruent. However, in order to prove the triangles (ABC) and (ADE) are congruent (using side-angle-side) congruence theorem, one needs to show that angles (<BAC) and (<DAE) are congruent. An easy way to do so is to write out angles (<BAC) and (<DAE) as the sum of two smaller angles:

<BAC = <BAD + <DAC

<DAE = <DAC + <EAC

Both angles share angle (DAC) in common, since angles (<EAC) and (BAD) are congruent, angles (<BAC) and (<DAE) must also be congruent.

Therefore triangles (ABC) and (ADE) are congruent by side-angle-side, thus sides (BC) and (DE) must also be congruent.

In summary:

AB = AD Given

AC = AE Given

<BAD = <EAC Given

<DAC = <DAC Reflexive

<BAC = <BAD + <DAC Parts-Whole Postulate

<DAE = <EAC + < DAC Parts-Whole Postulate

<BAC = <DAE Transitivity

ABC = ADE Side-Angle-Side

BC = DE Corresponding parts of congruent triangles are congruent

5 0

3 years ago

Triangle ABC has vertices A(−3, 1), B(−3, 4), and C(−7, 1).

Lina20 [59]

The solution to the questions are

The description of the translation in words is horizontal shift to the left by 4 units and vertical shift up by 3 units
A(−7, 4), B(−7, 7), and C(−11, 5).
∆ABC is congruent to ∆A"B"C"

<h3>Part A: How is the translation described with words?</h3>

We have the translation to be:

∆ABC is translated according to the rule (x, y) → (x − 4, y + 3) to form ∆A'B'C'

The translation rule (x, y) → (x − 4, y + 3) involves a horizontal translation and a vertical translation

So, the description of the translation in words is horizontal shift to the left by 4 units and vertical shift up by 3 units

<h3>Part B: Where are the vertices of ∆A'B'C' located?</h3>

We have:

A(−3, 1), B(−3, 4), and C(−7, 1).

When the rule applied, the points become

A(−7, 4), B(−7, 7), and C(−11, 5).

<h3>Part C: Is ∆ABC congruent to ∆A"B"C"?</h3>

Here, the transformation rule is given as:

Triangle A'B'C' is rotated 90° clockwise about the origin to form ∆A"B"C"

A clockwise rotation by 90° is a rigid transformation

This means that the sides and angles of both shapes are congruent

Hence, ∆ABC is congruent to ∆A"B"C"

Write an equation of the line with a slope of 3 and y-intercept of -8