what is deductive reasoning in geometry

Answer:

152 logs

Step-by-step explanation:

This question is an Arithmetic progression question

A stack of logs has 17 logs on the bottom layer.

First term = a1 = 17

We are told that: each subsequent layer has 3 fewer logs than the previous layer.

Common difference = 3

Hence, Second term = 17 - 3 = 14

Third term = 14 - 3 = 11

If the top layer has two logs,

Last term = 2

Step 1

We find the number of layers of logs present

Number of logs in the bottom layer - number of logs in the first layer + 1

= 17 - 2 +1

= 16 layers

Step 2

We are asked in the question to find , how many total logs are in the pile?

This means, we are to find the sum of terms in the Arithmetic progression.

The formula is given as

Sn = n/2(a + l)

Where a = First term = 17

l = Last term = 2

Sn = n/2(17 + 2)

Sn = 16/2(19)

Sn = 8 × 19

Sn= 152 logs

Answer:

D. because all irrational numbers are real numbers.

Step-by-step explanation:

Real numbers include virtually all numbers we can come up with, either negative or positive, rational or irrational, decimals, etc. They are not imaginary numbers.

Irrational numbers include all numbers that cannot be written as a quotient of two integers. They are numbers whose decimals are never terminating. Examples include π, √2 etc.

Irrational are a subset of real numbers.

Therefore, the correct venn diagram that shows this relationship between Set R {real numbers} and Set Q {irrational numbers} is the venn diagram in option D (last option), because, all irrational numbers are real numbers.

Answer:

2

Step-by-step explanation:

Monday, Tuesday.

Answer:

The answer is 3

Step-by-step explanation:

The blue part is above the orange part three times, therefore the answer is 3.

Hope this helps.

Answer:

unit price = $0.80 per cm

Step-by-step explanation:

to find the unit price per cm is to find how much 1 cm of wire costs:

given that :

19.5 cm ----> costs $15.60

1 cm -----> will cost $15.60 ÷ 19.5 cm = $0.80 (this is the unit price)

Answer:

c represents the number of classes

6 + 5c = 6c

Can you solve for c and answer?

Answer:

+3

Step-by-step explanation:

first: -3(6)÷3 = -18 ÷ 3= -6

2nd: 2²=4

3rd: 5+4-6=+3

Answer:

3

Step-by-step explanation:

5+4-(3x6)/3

5+4-18/3  (because of order of ops, you divide)

5+4-6 (then combine like terms)

9-6

3

Answer: The answer should be

C) f(t)=1.5t+5

Answer: 4 is 12 and 5 is 18

Step-by-step explanation: The midpoint of a line is the exact middle of the line. In other words, it splits the line into two equal parts.

From a formulaic standpoint, this looks like

AC = CB

And if we plug in the values it looks like this

AC = 12, so 12 = CB.

For the next problem,

AC + CB = AB

AC = 9, and since AC = CB, CB = 9 also.

So, once again just put the numbers in for the letters and you get

9 + 9 = 18

Answer:

f(8)=4(8) +5

=32 +5

=37

Answer: I can’t really see 4 but 7 is B and 10 is C

Step-by-step explanation:

Answer:

24x + 16=160

First subtract 16 from 160 so you get 144

Then divide 24 by 144 and you get 6

6=x

Answer:

226.89

Step-by-step explanation:

Answer:

(-) withdraw/earn

(+) deposit/spend

$75.00 - $30.89 - $21.00 + $100 = $123.11

$75 - $30.89 = $44.11

$44.11 - $21.00 = $23.11

$23.11 + $100 = $123.11

We're trying to find [tex]s(t(-7))[/tex].

[tex]t(-7)=3(-7)[/tex]

[tex]t(-7)=-21[/tex]

[tex]s(-21)=2-(-21)^2[/tex]

[tex]s(-21)=2-441[/tex]

[tex]s(-21)=-439[/tex]

Hope this helps.

頑張って!

Answer:

Step-by-step explanation:

4x^2 + 20x + 25 + 4x^2 - 20x + 25

8x^2 + 50

The answers are 4,8, and 12.

Answer:

"if it is not an animal, then it is not a horse"

Step-by-step explanation:

Lets say we had an original statement that is "if a, then b." The contrapositive to this statement would be "if not b, then not a."

To find the contrapositive to a statement, you would swap and negate the hypothesis, or the "a" in the example statements above, and the conclusion, or the "b" in the example statements above.

For the statement "if it is a horse, then it is an animal", to find the contrapositive, lets first swap the hypothesis and conclusion:

"if it is an animal, then it is a horse"

Now lets negate both the hypothesis and conclusion. To do this, lets change the "it is" to "it is not" in both the hypothesis and conclusion.

"if it is not an animal, then it is not a horse"

And now we have the contrapositive to the statement.

I hope you find my answer helpful.

3 x 80(4) = 960

80 multiply with 4 as the length of the sisi of the square is 80m and has four sisi.

3 multiply 80(4) as Kelly jog three times a week

Answer:

Area= 4,200 square feet

Step-by-step explanation:

If I read your question correctly, I'm assuming the dots (".") mean a multiplication sign ("x").

If they are all being multiplied, use PEMDAS to solve this. First, find to value for any exponents you have (in this case, it's [tex]2^3[/tex] and [tex]5^2[/tex]).

[tex]2^3=2*2*2=8\\5^2=5*5=25[/tex]

Now that you have the values for these two exponents, multiply all the numbers together.

8 x 3 x 25 x 7 = 4,200

Answer:

(2, -6) 2 is on the x-axis and -6 is on the y-axis.

Step-by-step explanation: X-Axis is horizontal and Y is vertical. X can also be remembered as left to right. Y-axis runs up and down. It would be in the IV (fourth) quadrant.

Answer:

Step-by-step explanation:

its in the forth box

Answer:

4+9≠11 like srsly 4+9=13.... but if ur talking about 4x+9=11 then the answer is 1/2

Step-by-step explanation:

IF YOU'RE TALKING ABOUT 4x+9=11, THEN .....

-9      -9

4x=2

/4 /4

x=1/2

Answer:

4, 15

Step-by-step explanation:

First of all, simplify the first equation. When you simplify, you get -2x-8 = -16, which you then add 8 to both sides. You get -2x = -8, so you divide both sides by -2 to get 4. In the second equation, you subtract 5 from both sides to get x/3= 5. Multiply both sides by 3 to get the value of x, and you'll get the equation of x=15, which is the answer.

Answer:

[tex]g(x) = -(x - 2)^2[/tex]

[tex]k(x) = -\frac{x}{2} - 1[/tex]

[tex]h(x) = 2^x - 7[/tex]

[tex]f(x) =\sqrt{x}[/tex]

Step-by-step explanation:

Given

Input = 6

Expected Output = 11

Process:

[tex]f(x) =\sqrt{x}[/tex]

[tex]g(x) = -(x - 2)^2[/tex]

[tex]h(x) = 2^x - 7[/tex]

[tex]k(x) = -\frac{x}{2} - 1[/tex]

Required

Arrange the processes to give an output of 11

To answer this question, I'll make use of trial by error methods.

After some attempts, the following is the order of the processes;

Set x = 6

Substitute 6 for x in g(x)

[tex]g(x) = -(x - 2)^2[/tex]

[tex]g(6) = -(6 - 2)^2[/tex]

[tex]g(6) = -(4)^2[/tex]

[tex]g(6) = -16[/tex]

Substitute -16 for x in k(x)

[tex]k(-16) = -\frac{-16}{2} - 1[/tex]

[tex]k(-16) = -(-8) - 1[/tex]

[tex]k(-16) = 8 - 1[/tex]

[tex]k(-16) = 7[/tex]

Substitute 7 for x in h(x)

[tex]h(x) = 2^x - 7[/tex]

[tex]h(7) = 2^7 - 7[/tex]

[tex]h(7) = 128 - 7[/tex]

[tex]h(7) = 121[/tex]

Substitute 121 for x in f(x)

[tex]f(x) =\sqrt{x}[/tex]

[tex]f(121) = \sqrt{121}[/tex]

[tex]f(121) = 11[/tex]

Hence, the processes is:

[tex]g(x) = -(x - 2)^2[/tex]

[tex]k(x) = -\frac{x}{2} - 1[/tex]

[tex]h(x) = 2^x - 7[/tex]

[tex]f(x) =\sqrt{x}[/tex]

Answer:

[tex]16x^2 + 18y[/tex] units

Step-by-step explanation:

The perimeter of a rectangle is [tex]2l+2w[/tex], where l and w are the length and width respectively. Since we know the value of the length and width, we can substitute inside the equation.

[tex]2(x+5y) + 2(8x^2 - x + 4y)\\\\2x + 10y + 16x^2 - 2x + 8y[/tex]

We can now combine like terms to get [tex]16x^2 + 18y[/tex].

Hope this helped!

Answer: A; 6.3%

Step-by-step explanation:

Problem 1

For the first problem, we first want to find y so that we can plug it into the expression.

We can use elimination method for the system of equations to solve.

3x+3y=21

3x-y=5

We subtract both equations to eliminate x.

4y=16                                        [divide both sides by 4]

y=4

Now that we know y, we can plug it into the expression.

[tex]\frac{4}{2} -3[/tex]                                         [divide]

[tex]2-3[/tex]                                         [subtract]

[tex]-1[/tex]

We know that the answer is A.

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Problem 2

For the second problem, we need to know how to calculate percent error. The formula for precent error is [tex]\frac{|measured-exact|}{exact} *100%[/tex]. We know that the exact value is 80 because the buyer was supposed to given 80. 75 is the measured value because that was what the buyer was given.

[tex]\frac{|75-80|}{80} *100%[/tex]                               [subtract]

[tex]\frac{|-5|}{80} *100%[/tex]                                   [solve absolue value]

[tex]\frac{5}{80} *100%[/tex]                                     [divide]

[tex]0.0625*100%[/tex]                               [multiply]

[tex]6.25[/tex]

Since the problem said to round to one decimal place, we know that the answer is 6.3%.

Answer:

(-1/2 , -3/2)

Step-by-step explanation:

midpoint formula:

(x₁ + x₂) / 2 , (y₁ + y₂) / 2

(-2 + 1) / 2 , (-8 + 5) / 2

P: (-1/2 , -3/2)

Answer:

where is the rest of the context?

Answer:

5

Step-by-step explanation:

This is because |-5| is equal to 5

Answer:

It is 5

Step-by-step explanation:

The absolute value sign means how many spots that number is away from the 0 on the number line so it makes all numbers positive except if there is a negative sign on the outside of the absolute value sign