Assignment - 3. Deductive Reasoning

State a true conclusion.
1) If two planes intersect, their intersection is a line.
2) Plane Rand plane S intersect.
Conclusion:
WRITER

Answers

Answer 1

Answer:

the answer is the intersection is a line


Related Questions

What is the formula or equation for this problem I don’t understand

Answers

Answer:

B

Step-by-step explanation:

From the property of parallelogram the opposite angels are equal so < DAB = < DCB so < DAB will become 16x.

9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.

25x + 5 = 180

25x = 180 - 5

25x = 175

x = 7 (it's 7 because u divide 175 by 25)

now let's substitute in the angle < DCB( 16x):-16 × 7= 112

To get < ABC lets use the property of parallelogram which says tha adjacent angles are supplementary. which means <ABC + <DCB = 180

<ABC + 112 = 180

< ABC = 180 - 112

< ABC = 68

answer credits: melatleul

rotation,
glide reflection,
reflection,
translation.

Answers

Answer:

it appears to have TRANSLATED

Martina read that the average graduate student is 33 years old. She wanted to estimate the mean age of graduate students at her large university, so she took a random sample of 30 graduate students. What is Martina's margin of error?

Answers

Answer: Martina's margin of error is 1.5.

Step-by-step explanation:

Given: Average graduate student (upper limit) = 33

Random sample graduate student (lower limit) = 30

Formula to calculate margin of error is as follows.

Margin of error = [tex]\frac{upper limit - lower limit}{2}[/tex]

Substitute the values into above formula as follows.

[tex]Margin of error = \frac{upper limit - lower limit}{2}\\= \frac{33 - 30}{2}\\= \frac{3}{2}\\= 1.5[/tex]

Thus, we can conclude that Martina's margin of error is 1.5.

Jessica filled the birdbath in her yard with 4 liters of water. How many milliliters of water did she put in the birdbath?

Answers

Answer:

4,000 milliliters

Step-by-step explanation:

There are 1,000 millililters in one liter. 4*1,000=4,000.

Answer:

4,000 mL

Step-by-step explanation:

there are 1,000 mL in one liter so there are 4,000 mL in four liters

we want to factor the following expression (x-3)^2-10(x-3)+25 which pattern can we use to factor the expression

Answers

Answer:

This question is asking for the pattern , not the factoring of it...

this is the [tex](a+b)^{2} pattern = a^{2} + 2ab + b^{2}[/tex]

Step-by-step explanation:

Answer:

(x - 8)²

Step-by-step explanation:

This is in the form of a perfect square, that is

(x + b)² = x² + 2bx + b²

with x = x - 3 and by comparison of like terms

2b = - 10 ⇒ b = - 5

Then

(x + b)²

= (x - 3 - 5)²

= (x - 8)² ← in factored form

Find the value of the angle θ rounded to 1 DP.

The diagram is not drawn accurately

Answers

Answer:

Find length opposite to 30deg

Opposite = tan(30)*42

= 24.2

Whole side = 24.2+10

Find angle of 0 + 30deg: (say x)

Tan(x) = 33.2/42

Arctan(0.79) = x

x = 38.3

The angle to find:

38.3-30:

8.3

The angle is 8.3deg.

please help me guys I am in trouble​

Answers

Answer:

16π

Step-by-step explanation:

The circle touches the X-axis and center at (3,4), the coordinate is representing as (x, y), so the radio will be r = y (circle touches the X-axis), and the formula of circle area is π * r^2, so:

π * 4^2 is equal to 16π

A 68-year old retiree has a pension savings of $51,000, a 401k of $58,000, and an IRA account of $68,000. Before 2008, he had 2% more cash in the pension, 12% more in the IRA, and −1% in the 401k. He wants to take out 2% from each account before he turns 72, which will cost him a penalty of an extra 1% from the pension, 2% from the 401k, and 6% from the IRA. What is the relevant information for the amount that the retiree will have in his pension if he doesn't take money out now?

A: The retiree had 2% more cash in the pension in 2008
B: The retiree has a pension savings of $51,000
C: The retiree has a 401k of $58,000
D: The retiree has an IRA account of $68,000

Answers

Answer:

B: The retiree has a pension savings of $51,000

Step-by-step explanation:

3x + 14 < 38
Please show work

Answers

3x + 14 < 38

Subtract 14 from both sides:

3x < 24

Divide both sides by 3:

X < 8

Four spheres of radius 6 cm just fit inside a cylinder.

Calculate the volume inside the cylinder that is empty.

Leave your answer in terms of pi.

Answers

Answer:

1152\pi\

Step-by-step explanation:


A triangle has vertices (-1, 2), (3, 1), and (7.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth

Answers

Answer

16.25

Step-by-step explanation: To The Nearest Hundredth

(-1, 2), (3, 1)

√17

(3, 1), (7, 2)

√17

(3, 1), (7, 2)

√8

So our answer is =

8 + √17 + √17 = 16.25

hope it works for you!

HELP
Use the definition of continuity and the properties of limits to show that’s the function…

Answers

Answer with Step-by-step explanation:

We are given that

[tex]g(x)=(x^2-3x-10)(x^2+2x^2-5x+4)[/tex]

x=-1

Using property of limit

[tex]\lim_{x\rightarrow -1}g(x)=\lim_{x\rightarrow -1}(x^2-3x-10)(3x^2-5x+4)[/tex]

=[tex](1+3-10)(3+5+4)[/tex]

=[tex](-6)(12)[/tex]

=[tex]-72[/tex]

[tex]g(-1)=(1+3-10)(1+2+5+4)[/tex]

[tex]g(-1)=(-6)(12)=-72[/tex]

[tex]\lim_{x\rightarrow -1}g(x)=g(-1)[/tex]

Hence, the function is continuous at x=-1

A cubical reservoir has capacity of 480000 l itters of liquid. If ifs length and breadth are 10m and 8m respectively, find the hight of the reservoir.​

Answers

Answer:

Height = 6000 m

Step-by-step explanation:

[tex]Volume = length \times breadth \times height \\\\480000 = 10 \times 8 \times height\\\\480000 = 80 \times height\\\\height = \frac{480000}{80} = 6000 \ m[/tex]

You can solve a system of equations by translating it into a matrix,manipulating the matrix until it has eliminated terms,and then translating it back to equations

Answers

Answer:

True

Step-by-step explanation:

A system of equations can be solved by Translating the system of equations into a matrix by following theses steps

list all coefficients in a single matrix multiply the coefficient matrix with the variables matrixenter answers into a new matrix

write out the resulting answer in form of equations.

what is 2,457,310 rounded to the nearest thousand​

Answers

Answer:

2,457

Step-by-step explanation:

The thousands place is when you move four spaces to the left starting from the first number. In this case, that number was seven, and to round, you need to round it up or down depending if the number to the left of the 4th number is greater or less than 5. In this case, that number was 3, so that 3 and the rest of the remaining numbers turn into 0's, making the rounded number 2,457.

I hope this information was of any use to you.

Answer:

2,457,000

Hope that this helps!

What is the image point of (4, 6) after the
transformation T5,2 O ry=-x?

Answers

Answer:

The image point is (-1,-2)

Step-by-step explanation:

Firstly, we have to reflect the given point over the line y = -x after which we perform the translation using the coordinate (5,2)

Mathematically;

If we reflect a point (x,y) over the line y = -x

we have the coordinate change to (-y,-x)

so, (4,6) becomes (-6,-4)

Then for the translation, we add 5 to the new x-axis coordinate, then add 2 to the new y-axis coordinate

we have this as;

(-6 + 5, 2-4) = (-1,-2)

Connor's balcony is 5 feet wide and 9 feet long. Connor paid $3.00 per square foot to have the balcony stained. How much did he pay?

Answers

Answer:

135

Step-by-step explanation:

9*5=45*3=135

Find sin X, sin Z, cos X, and cos Z. Write each answer as a simplified fraction.

Answers

Answer:

Find the answers below

Step-by-step explanation:

Using m<X as the reference angle

Opposite YZ = 7

Adjacent  XY = 10

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinX = opp/hyp

sinX =YZ/XZ

sinX = 7/√149

For cos X

cos X = adj/hyp

cos X =10/√149

Using m<Z as reference angle;

Opposite XY = 10

Adjacent  YZ = 7

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinZ = opp/hyp

sinZ =10/√149

sinZ = 7/√149

For cos Z

cosZ = 7/√149

Pls help me answer this question. Picture attached

Answers

Answer:

300

Step-by-step explanation:

to find volume u will have to multiply the length x width x breadth which is 5x5x12=300

The difference between an observational study and an experiment is that:


A. in an observational study, only one group is studied, and in an experiment, two groups are studied.
B. in an observational study, the researchers do not control treatment, and in an experiment, they do.
C. in an experiment, cause-and-effect is analyzed, and in an observational study, it is not.
D. in an experiment, one group is studied over a short period of time, and in an observational study, the group is studied over a longer period of time.

Answers

Answer:

B

Step-by-step explanation:

An experiment is a study carried out in a controlled environment where the person undertaking the research hopes to understand cause and effect between the independent and dependent variables. An example of a experiment is the palovian experiment

The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable

The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable

Observational study is the study where the researcher observes and measures cause and effect between independent and dependent variables without trying  to control or influence the population

Need help on this!!! 10 points!!!

Answers

Number 2: B
Hope this helps :))


Which is NOT an example of continuous data?
A)
time it takes to cut the grass
B)
Lifetime (in hours) of a flashlight battery
C)
weights of dogs in animal shelter
D)
number of cheeseburgers sold yesterday at a drive-thru

Answers

Answer:

Solution

Height is not an example of a continuous variable.

D) The number of cheeseburgers sold yesterday at a drive-thru is not an example of continuous data.

Here, we have,

Continuous data refers to numerical data that can take on any value within a certain range or interval. It typically involves measurements or quantities that can be expressed as real numbers.

A) The time it takes to cut the grass can be measured in minutes or seconds, and it can take on any value within a range. This is an example of continuous data.

B) The lifetime (in hours) of a flashlight battery is a continuous variable. It can take on any value within a range, such as 5.3 hours, 10.7 hours, or any decimal or fractional value.

C) The weights of dogs in an animal shelter can be measured in pounds or kilograms and can take on any value within a range. This is also an example of continuous data.

D) The number of cheeseburgers sold yesterday at a drive-thru is a discrete variable. It represents a count or a whole number, such as 50 cheeseburgers, 100 cheeseburgers, etc. Discrete data involves distinct values and is not continuous.

Therefore, option D is not an example of continuous data.

learn more on data;

https://brainly.com/question/17037791

#SPJ4

Larry works at the Gap Clothing Store. He works 15 hours week. If his manager cuts all employee hours by 20%, how many hours a week will Larry work now.

Answers

Answer:

12 hours

Step-by-step explanation:

Find 20% of 15 hours

15 * 20%

15 * .2

3

Subtract this because his hours are cut

15-3

12

Please help me as soon as possible!
36 - 2s² + t²
S = 2
T = 8

Answers

Answer:

i think its 20

Step-by-step explanation:

can you help me do this Q I can't seem to get it :)

Answers

9514 1404 393

Answer:

x = 3∠IEH = 61°∠IHE = 35°

Step-by-step explanation:

There are a couple of useful facts about parallelograms that can be used here.

1) The diagonals bisect each other.

2) Opposite sides are parallel, so each diagonal can be considered a "transversal" with respect to parallel lines. That means all of the angle relationships involving parallel lines apply.

__

The two marked sections of diagonal GIE are congruent, so you have ...

  3x +1 = 10

  3x = 9 . . . . subtract 1

  x = 3 . . . . . divide by 3

__

Angles IEH and IGF are "alternate interior" angles, so are congruent.

  angle IEH = 61°

__

Angles IHE and IFG are "alternate interior" angles, so are congruent.

  angle IHE = 35°

Bruce Wayne trabaja en un proyecto inmobiliario, éste consiste en un edificio con forma de prisma de base triangular, cuya planta baja se caracteriza por tener una piscina, un gimnasio y una cancha deportiva. Batman tiene este bosquejo de dicho proyecto: Los terrenos destinados para la piscina, el gimnasio y la cancha deportiva son cuadrados, de modo que la superficie de la cancha es de 2.500 m2 y la de la piscina es de 1.600 m2 . ¿Cuál es la superficie destinada al gimnasio?

Answers

Answer:

El área del gimnasio sería 2000 metros cuadrados

Step-by-step explanation:

Un lado del gimnasio será igual al lado de la cancha y el otro lado será igual al lado de la piscina.

Dado que tanto la cancha como la piscina tienen forma cuadrada. El lado de la cancha será raíz cuadrada de 2.500 m2 y el de la piscina será raíz cuadrada de 1.600 m2

Por lo tanto, el lado del gimnasio sería 50 y 40.

El área del gimnasio sería 50 * 40 = 2000 metros cuadrados

Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and one-third cups of flour. How many loaves did Dianna make?

Answers

Answer:

5 loaves

Step-by-step explanation:

13 1/3 divided by 2 2/3 is 5 so the answer is 5 loaves.

Rewrite the fractions as improper fractions then divide the total amount used by the amount per loaf:

13 1/3 = 40/3

2 2/3 = 8/3

40/3 / 8/3

When dividing by a fraction flip the fraction over and multiply

40/3 x 3/8 = (40 x3) /( 3 x 8) = 120/24 = 5

She made 5 loaves of bread.

Micheal has 5^(2) boxes. There are 5^1 of apples in each box. When empty, a box weighs 5^-2 kg. What is the total weight of boxes with the apples in them.

Answers

Answer:

5.4

Step-by-step explanation:

Juss took the test

Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)

A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8​

Answers

Answer:

D

Step-by-step explanation:

4x+3y -4x -y = 17 -9

<=> 2y =8

what is the scale factor from figure a to figure b

Answers

Answer:

1/2

Step-by-step explanation:

These two triangles are similar, so there is a scale factor. The heights and the bottom sides of each triangle are similar, figure A has a bottom length of 6, and figure B has a bottom length of 3. To get from A to B, you multiply by 1/2. So the scale factor is 1/2.

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