A geologist drew a scale drawing of a section of a quartz layer she saw in a cliff. The scale drawing of the layer is 4 cm high and 28 cm long. If the actual layer is 0.2 meters high, what is the area of the actual quartz layer section she saw?

Answers

Answer 1

Answer:

[tex]0.28\ \text{m}^2[/tex]

Step-by-step explanation:

[tex]4\ \text{cm}=0.2\ \text{m}[/tex]

[tex]1\ \text{cm}=\dfrac{0.2}{4}=0.05\ \text{m}[/tex]

[tex]28\ \text{cm}=28\times 0.05=1.4\ \text{m}[/tex]

The height of the layer is 0.2 m and the length is 1.4 m

Area is given by

[tex]0.2\times 1.4=0.28\ \text{m}^2[/tex]

Area of the actual quartz layer section is [tex]0.28\ \text{m}^2[/tex].


Related Questions

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Answers

SA= 246
if this is right please mark as brainliest

Please help 8th grade algebra here's the problem #16 GEOMETRY The volume of a rectangular prism is 3x3 + 34x2 + 72x – 64. If the
height is x + 4, what is the area of the base of the prism?
I’m really bad at areas and I need this by tonight

Answers

Answer:

here is a link

Step-by-step explanation:

https://socratic.org/questions/the-volume-of-a-rectangular-prism-is-3x-3-34x-2-72x-64-if-the-height-is-x-4-what#374628

Suzanne folded 11 towels. If Allison folded 5 times as many towels as Suzanne, which number sentence shows how many towels Allison folded?
A.
5 × 5 = 25

B.
11 + 5 = 16

C.
11 × 11 = 121

D.
5 × 11 = 55

Answers

Answer:

D

Step-by-step explanation:

because 5 times 11 is 55. Times is also another word for multiplication.

D. This is because if she does 11 towels then she does 5 times more you multiply

There are 70 dogs and 55 cats at the shelter. 15 of these animals get adopted . What is the percent of the animals that got adopted

Answers

Answer: 12%

Step-by-step explanation:

Given

There are 70 dogs and 55 cats at the shelter

If 15 animals are adopted

Total no of animals =70+55=125

Percent of animals adopted is given by

[tex]\Rightarrow \dfrac{\text{Animals adopted}}{\text{Total animals}}\times 100\\\\\Rightarrow \dfrac{15}{125}\times 100=12\%[/tex]

If right you’ll get brainliest

Answers

The temperature increased by 10°F.

Step-by-step explanation:

To solve this question, solve this equation:

[tex]-6+X=4[/tex]

Flip the equation so it is easier to solve:

[tex]4-(-6)=X[/tex]

Two negatives = A positive so:

[tex]4+6=X[/tex]

Then, add to solve the equation:

[tex]10=X[/tex]

The temperature increased by 10.

A wind turbine has three equally spaced blades that are each 131 feet long. What is the measure of the arc between any two blades?

Answers

Answer:

274.23 feet

Step-by-step explanation:

From the question,

The measure of the arc between any two blades (s) = 2πrΦ/360

s =  2πrΦ/360................... Equation 1

Where Ф = angle formed betwen two blades, r = length of each blade.

Given: Ф = 360/3 (the three blades are equally spaced) = 120°, r = 131 feet.

Constant: π = 3.14

Substitute these values into equation 1

s = (2×3.14×131×120)/360

s = 274.23 feet.

Hence, the measure of the arc between any two blades is given = 274.23 feet

How do I solve this arithmetic sequence?

Answers

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

Alonzo and Miguel scored a total of 40 points in a basketball game. Miguel scored four more points than twice Alonzo's score. show many points did Miguel score?

Answers

Answer:

28

Step-by-step explanation:

Someone please help quickly! <3

Answers

Answer:

answer is C just look at the line and see where they intersect...

Step-by-step explanation:

hope this helps^_^ plz give brainliest and rating

How many ounces are in 1 pint?

Answers

16. i said “hey siri how many ounces are in 1 pint she said “16 fluid ounces” your so welcome❤️❤️

help me please!!! i dont get this!!!

Answers

Answer:  25 seconds

=============================================================

Explanation:

The circumference is a special term to mean the perimeter of a circle, or the distance around the circle. Think of a very long rope you can wrap around the circle. Unwinding that rope to make it lay straight can then lead to help measure out the perimeter of the circle when using a straight measuring device (eg: ruler). You can also think of flexible cloth ruler tape that is used to make clothing, and to measure things like height, when thinking about measuring the perimeter of a figure with curves to it.

In this case, the perimeter of the circle is 628 feet. The formula to find the circumference (C) given a radius (r) is shown below

C = 2*pi*r

where pi = 3.14 approximately. We can use a bit of algebra to find the radius r when we are given the circumference C = 628

So,

C = 2*pi*r

628 = 2*3.14*r

628 = 6.28*r

6.28r = 628

r = 628/6.28

r = 100

The radius is 100 feet. Keep in mind that this is an approximate value considering that pi = 3.14 is approximate.

Now we're told that the boat is moving 4 ft per second along the radius. We'll use the distance = rate*time formula to find out how long it will take us to go from the edge fo the center.

distance = rate*time

100 ft = (4 ft per sec)*(x seconds)

100 = 4x

4x = 100

x = 100/4

x = 25

It takes about 25 seconds for the boat to go from the edge to the center of the pond.

Again, this is an approximation due to pi = 3.14 being an approximation.

Answer:

25 seconds

Step-by-step explanation:

the first step is to find the radius of the pond, as that is the distance from the outside of the circle to the center, the same path the boat is taking. the formula for the circumference of a circle is 2pi(r)= circumference, where r represents the radius. to solve for the radius instead of the circumference, we can format the equation as r= circumference/2pi, because to isolate the radius on the left side of the equation you must divide by 2pi on both sides. we know the circumference is equal to 628, so the equation filled out is r= 628/2pi. firstly, 2*pi is 6.28, using 3.14 as pi. 628/6.28 is 100, so the radius is 100 feet.

next, we know the boat is travelling 4 feet per second. since the path it is travelling is 100 feet long, we must divide 100 by 4. 100 ft divided by 4 ft per second leaves us with 25, so it will take the boat 25 seconds to reach the center of the pond.

hope this helps!

solve the inequality 4x + 6>22

Answers

Answer:

it is x>4 I solved it out.

Newa
1 pts
Question 8
Which of the following is NOT true about the law-making process in Congress?
O Congress can overrule the president's veto with a 3/4 vote
The House of Representatives and Senate pass the bill along with a majority vote.
A committee discusses debates and votes on a bill
The President can sign the bill into law or veto the bill
Question 9
1 pts

Answers

Answer: They all look correct to me. The only on the might work is the House of Representatives and Senate pass the bill along with a majority vote.

Step-by-step explanation:

Please answer this question asap

Answers

Answer:

I believe that the answer is 'C. 9d+2c+3t'.

Step-by-step explanation:

I hope this was helpful, have a blessed day.

What is the probability of drawing an even numbered card, keeping it, and then drawing another even numbered card from a stack of 24
cards numbered 1 to 247
Oct
O
С C
46

Answers

Answer: 1/4

Step-by-step explanation:

In a stack of 24, the 2 mediums are odd and even cards in this question. This means that 1/2 the cards are even and 1/2 are odd. To get a even card once is a 1/2 chance, then to get it again is 1/2 x 1/2 chance or 1/4 chance. This is what I think.

help me out, thank you !

Answers

Answer: 12.4

Explanation: a ^2 +b^2 = c^2
7^2 + 10.2^2 = c^2
49 + 104.04=c^2
153.04 =c^2
c ≈ 12.37
Round: 12.4

The middle school swim team scored a total of 181.863 points. Which expression represents this score?
A (1x100) + (8x 10) + (1x1)+(8x1)+(6x 10) +(3x 100)

B (1 x 100) + (8x10)+ (1x1)+ (8x2)+(6x 1/10)+(3x 1/100)

C (1x100) + (8x10)+(1x1) + (ex *)+(6x 100) +(3x 1/1000)

D (1*100)+(8x 10) + (1x1)+(8x 1000)+(ox 100)+(3x o)
o

Answers

Answer: A

Step-by-step explanation:

A follows the tenths, hundreds, and thousandths place correctly

Answer:

A. (1x100) + (8x 10) + (1x1)+(8x1)+(6x 10) +(3x 100)

Step-by-step explanation:

Is QRST at the right a rectangle? Explain.

Answers

Answer:

Right rectangle.

Step-by-step explanation:

The rectangle will be a right rectangle only if the opposite sides are parallel to each other.

This means that RQ should be parallel to ST

And RS should be parallel to QT

Each side can be represented by a line with a restricted domain, and we know that two lines are parallel only if they have the same slope.

Remember that the slope relates to how a change in the x-value makes a change in the y-value.

Then if two segments have, for a fixed change in the x-value, the same change in the y-value, we can conclude that those segments are parallel.

So here to see if the lines are parallel, we just need to compare the changes between the endpoints of each segment.

Let's start with segments QR and TS

First let's look at the segment QR, and let's try to find the difference in the coordinates between R and Q.

In the graph, we can see that R is 3 units above and one unit to the right of Q.

Now let's do the same for the other segment:

In the graph, we also can see that S is 3 units above and one unit to the right of T.

So these two lines will have the same slope:

Only with this, we can conclude that sides QR and TS are parallel.

Now with the other two segments: RS and QT.

Similar to the above case, for the segment RS we can see that S is 4 units at the right and 1 unit below R.

For the segment QT, we can see that T is 4 units at the right and one unit below Q.

So segments RS and QT have the same slope, thus, the segments are parallel.

Then we can conclude that this is a right rectangle.

Solve


A. n = 12

B. n = -12

C. n = -3

D. n = 3

Answers

Answer:

n/3+2 =-2

n+6=-6

n=-12 is your answer

Answer:

B

Step-by-step explanation:

Given

[tex]\frac{n}{3}[/tex] + 2 = - 2 ( subtract 2 from both sides )

[tex]\frac{n}{3}[/tex] = - 4 ( multiply both sides by 3 to clear the fraction )

n = - 12 → B

answer CORRECTLY for brainleist if u put a link i will report u ! thx have a bleesed night all ;)

Answers

Answer:

132 cm squared

Step-by-step explanation:

for the two triangles 8 times 3 divided by 2 is 12 times 2 for two triangles equals 24

the two side rectangles easy just do 5 times 6 and it equals 30 times two because there is 2 and you get 60

the bottom rectangle do the same thing except 6 times 8 and there is only one so 48

add all areas together to get 132

A guitarist sets a goal to practice 200 minutes each week. If he only is going to practice 5 days during the week, which of the following amounts of average daily practice will allow him to reach his goal? Check all that is true.

15minutes, 25minutes, 30minutes, 45minutes, 60minutes

Answers

Answer:

45 minutes

Step-by-step explanation:

this is an over-estimate and the reason is 200/5=40 the closest one is actually 45 minutes

PLS HELP ME THIS IS Probability (Single event) PLS HELP ME

Answers

Answer: I would say 50%

Step-by-step explanation: Because there is a 50 50 chance on getting heads or tails.

Answer:

I believe it is a 50% chance because there are only two sides to the coin. 100 divided by two is 50.

Step-by-step explanation:

I'm not sure if that is the way you are supposed to solve it. Sorry if the answer is incorrect.

i hate doing my brothers work what is it?

Answers

Answer:

The answer is -0.7

Step-by-step explanation:

is the right answer

Answer:

-0.7

Step-by-step explanation:

Multiply-

Or use a calculator-

Help? I don’t understand it mainly cause HOW ARE YOU SUPPOSED TO

Answers

Answer:

83

supplementary is two angles that add up to 180 so 180 - 97= 83

help I don’t know how I’m supposed to do this

Answers

Answer: So, you got the length of side C. You now need to find what 10 is squared, then what plus what (in squared gates you there). A squared plus B squared is C squared. It is basic Pythagorean Threom.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For this I think you should know what SOH-CAH-TOA is, if not here.

O=opposite, A=adjacent(side), and H=-hypotenuse. We see they give us the right angle we need to solve, remember that we need the angle to the side of the right angle. Now S=sin, C=cos, T=tan, with these we use them to solve in the calculator. If you don't have a calculator, its going to be hard. But if you have a Ti-84 then set it to Degree mode. Ok moving on, We see they give us the adjacent and the hypotenuse, not the opposite.(from the given angle) So we can take off, SOH and TOA, see it doesn't have or has the incorrect sides. So we have left CAH.

Equation time:

, we see that the x is on top so we just multiply....

[tex]cos36(10)[/tex]= 8.090

I hope this helps!

f(-3)=x^2+4

just need help with this

Answers

Step-by-step explanation:

f(-3)=(-3)^2+4

=9+4

=13

hope it helps u dear friend

Answer:

Step-by-step explanation:

Given

f(x) = x² + 4

Now

f(- 3) = (-3)² + 4

       = 9 + 4

       = 13

hope it helps :)

There is a classic game called “Rock, Paper, Scissors.” Two people play by counting to 3 together, then making a hand gesture to resemble paper (hand flat, palm down), rock (fist), or scissors (two fingers extended).
• When paper and rock are shown, paper wins the round.
• When paper and scissors are shown, scissors wins the round.
• When rock and scissors are shown, rock wins the round.
• When both players show the same thing, the round is a tie.





Using the site: Rock, Paper, Scissors to play Rock, Paper, Scissors. You will scroll down until you see the hand. Then click on Generate to begin game.

Play 3 rounds of 10, using the same gesture for each round. Record what gesture was used by you, the gesture used by the computer, and the result.

Round 1:
My Option: Rock

Computer Scissors Paper Scissors Scissors Rock Scissors Scissors Rock Rock
Winner? Win Lost Win Win Tie Win Win Tie Tie

Round 2:
My Option: Paper

Computer Scissors Paper Scissors Rock Rock Rock Paper Rock Rock
Winner? Lost Tie Lost Win Win Win Tie Win Win

Round 3:
My Option: Scissors

Computer Rock Paper Rock Rock Scissors Paper Rock Rock Paper
Winner? Lost Win Lost Lost Tie Win Lost Lost Win




1. Is the event “win the round” dependent on another event? Explain your reasoning.






2. Create a graph of your data. Make sure to label your graph and that the graph is appropriate for the type of data you have.










3. Choose an event that you think might influence the probability of winning, then analyze the data using probability to determine whether the event you chose to study is independent of winning. Provide evidence to support your claim.



Answers

Answer:

Round 1: rock

Round 2: scissors

Round 3: paper

Step-by-step explanation:

YOUR DATA TABLES

Round 1: TIE

Round 2: LOST

Round 3: WIN

Solve for x
[tex]2x + 5 = 15[/tex]

Answers

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:2x+5=15}\ [/tex]

2x=15-5

x=10/2=5

Hope it helps you.

Have a good day.

Ms. Robinson has $75 in her bank account and is depositing $15
each week. Ms. LaSpina has $225 in her bank account and is
withdrawing $10 each week. How many weeks will it take for the
bank accounts to have the same amount? What will that amount
be?

Answers

Answer:

It will take 6 weeks

Step-by-step explanation:

Ms. Robinson: 75+15(6)=$160

Ms. LaSpina: 225-60 =$160

Therefore both will take 6 weeks

HELP ME PLEASE ANSWER THE QUESTION CORRECTLY

Answers

Answer:

$4,499.46

Step-by-step explanation:

after year 1 $4160, after Year 2 $4326.40, after 3 years $4499.46

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