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

1. SUNDAES Carmine bought 5 ice cream sundaes for his friends. If each sundae costs $4.95, how much did he
spend? Justify your answer by using the Distributive Property.

Answers

Answer:

24.75

Step-by-step explanation:

you want to multiply 4.95×5 and you will get the answer $24.75.

Use the graph that shows the solution to f(x) = 9(2).
What is the solution to f(x) = g(x)?
Select each correct answer

Answers

Answer:

Step-by-step explanation:

hello :

the first graph : 1  and -1 at second ; 2

Please help me !!!!!

Answers

Answer:

B. A dilation with a scale factor of 0.5

Step-by-step explanation:

A. is wrong because it is congruent transformation because reflections keep the angles and side lengths of the figure the same.

B. is right because it is NOT congruent because a dilation of any scale factor other than 1 results in a similar figure, because the side lengths are proprtional but not equivalent

C.  is wrong because translations keep the angles and side lengths of the figure the same.

D. is wrong because a scale factor of 1 changes nothing about the figure.

Josh is driving from his house to his grandmother's house. If 1/3 gallon of gasoline will get Josh 1/9 of the way to his grandmother's, how many gallons of gasoline does Josh need for the entire trip?

Answers

Answer:

3 Gallons

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

Given: 1/3 gallon needed for 1/9 of the whole trip

To find: How many gallons of gasoline Josh needs for the entire trip

Solve: Firstly, we need to find out the entire trip as a fraction

1/1

If 1/9 = 1/3, then 1/1 = 1/9 ÷ 1/3 = 0.33

No, multiply that by 1/1

1/1 × 0.33 =  0.33

Then, convert 0.33 to a whole number

Hence, Josh needs 3 gallons for the entire trip

Add and subtract fraction word problem

Answers

Answer:

9/10

Step-by-step explanation:

Answer:

3 glasses of milk will give you 9/10 of the recommended amount of calcium per day!

Step-by-step explanation:

Firstly, Let's identify the amount per day as show by the problem that is 3/10.

In simple terms, the question requires us to find the amount of calcium 3 glasses would provide.

Well, if one glass provides 3/10.

To find the value of three glasses, we need to multiply!

[tex]\frac{3}{10}*3\\\frac{3}{10}*\frac{3}{1}[/tex]

The amount of calcium three days would provide is [tex]9/10[/tex].

Hope it helps! :)

Find the value of $x$ . Round your answer to the nearest tenth.

A right-angled triangle facing downward, shortest side labeled x, second side labeled 15 and angle on the second side is labeled 27 degrees.
$x\approx$

Answers

Tan(angle) = Opposite / adjacent

Tan(27) = x/15

x = 15 * tan(27)

x = 7.6

“Type your answer in the box below without units” HELPPPPP

Answers

Answer

each loaf cost $2 all you had to do was divided 24 and 12 and you get $2

Step-by-step explanation:

What type of triangle is ABC?
Give reasons for your answer.

Answers

Answer:

I'll say that it is a scalene triangle because all of the sides of the triangle have different lengths.

Angle CAB is congruent to angle ACD because they are alternate interior angles (note the parallel lines AB and DE). So this makes angle CAB to be 50 degrees.

For similar reasoning, angle BCE = angle ABC = 80 degrees.

Focus on the angles that are centered at point C. Those three angles form a straight line so they add to 180 degrees.

(angle ACD) + (angle ACB) + (angle BCE) = 180

(50) + (angle ACB) + (80) = 180

(angle ACB) + 130 = 180

angle ACB = 180-130

angle ACB = 50 degrees

Ultimately, this leads to triangle ABC having the interior angles of A = 50, B = 80 and C = 50.

Because we have exactly two interior angles that are the same measure, this must mean triangle ABC is isosceles. The congruent angles are opposite the congruent sides, meaning that AB = BC.

Only number 7. I’ll give 5 stars, (which of the following relations represent functions? Select all that apply)

Answers

A. not a function
B. function
C. function
D. function
E. not a function

explanation:
A. The input C cannot have two different outputs.
B. The different x inputs can all have the same y output of 3.
C. Use vertical line test and see that no two points will touch the vertical line at the same time.
D. This is a standard linear function.
E. Use vertical line test (like in C.). You will notice that there’s two intersection points of you draw a vertical line through it, so it is not a function.

What is the solution to 85<-5x+5?

A. x < 16
B. x > 16
C. x < -16
D. x > -16​

Answers

Answer:C.  x < -16

Step-by-step explanation:

x^2/3=12

Plz I need help with this ASAP, it’s solving quadratic functions by square roots by the way

Answers

Answer:

this is easy. all you have to do is multiply the denominator (3) by the outside number (12) to get 36. this leaves the equation being x^2 = 36. now you just find the square route of 36 (which is 6).

Step-by-step explanation:

x^2/3 = 12

12 x 3 = 36

x^2 = 36

/36 = 6

x = 6

Step-by-step explanation:

explanation is on the picture

Need help answering this question.

Answers

Answer:

121

Step-by-step explanation:

If GH=11, then you multiply 11 times 11 to get 121. YUR WELCOME

The height h, in feet, that an arrow will reach 1 seconds after being shot directly upward is given by the formula h = 1121 - 1612
How high will the arrow be after 4 seconds?

Answers

Answer:

4484 - 6448

Step-by-step explanation:

Given: 1 second = 1121 - 1612.

To find: How high the arrow will be after 4 seconds.

Solution:

If 1 second = 1121 - 1612, then 4 seconds = 4 × 1

4 × 1121 - 1612 = 4484 - 6448

Therefore, the arrow will be as high as 4484 - 6448 in 4 seconds.

Find the volume of the cylinder
Either enter an exact answer in terms of t or use 3.14 for t
10
4 units

Answers

Answer:

502.4 cubic unit

Step-by-step explanation:

Given data

The parameter for the cylinder is as follows

Height h= 10units

Radius r= 4 units

We know that the expression for the volume of a cylinder is

V= πr^2h

substitute

V= 3.14*4^2*10

V= 3.14*16*10

V= 502.4 cubic unit

Hence the volume is  502.4 cubic unit

You decide to get an estimate on the cost of repairs for the green food truck. The mechanic explains that the cost of the repairs comes out to be about $9,500. This price includes the cost of labor and the cost of the parts needed to do the repairs. If labor costs are 3/5 the cost of the parts, how much would you save by doing the repairs yourself and just purchasing the parts?

Answers

Answer:

you save labor : 3562.50

Step-by-step explanation:

You want to calculate for labor.

labor = 3/5 (parts)

labor + parts = $9500 (total costs)

3/5 parts + parts =9500

3/5 parts + 5/5 parts = 9500

8/5 parts=9500

5/8(8/5 parts) = 5/8 (9500)

‘parts = 5937.50

labor=3562.50 (3/5 x 5937.50)

total = 9500

Evaluate the function for an input value of 3. f (x) = -4x^2 – 3x – 5

Answers

Answer:

-50

Step-by-step explanation:

Function given:

f(x) = -4x² – 3x – 5

Evaluate the function for an input value of 3

Input value is x = 3, output value is:

f(3) = -4(3²) – 3(3) – 5 = -4(9) - 9 - 5 = -36 - 14 = -50f(3) = -50

f(3)

-4(3)²-3(3)-5-4(9)-9-5-36-14-50

You and your brother had a cookie bake-off! You made a dozen cookies each with a circumference of 10 inches and your brother made a dozen cookie bars with a perimeter of 10 inches. Who used more cookie dough? Assume the cookies are the same thickness.

Answers

Answer:

Your brother (I think i'm right)

Step-by-step explanation:

Perimeter is bigger than circumferance if same "length"

you’re brother used more cookie dough!!

Members of alachua district choir were given the choice between romanticism or gothic style singing which style they preferred sing for the state competition

Answers

Here is the complete question.

Members of the Alachua district choir were asked when given the choice between romanticism gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:

48 males preferred Romanticism

63 males preferred Gothic

59 females preferred Romanticism

62 females preferred Gothic

Part A: Fill in and complete the following contingency table. Circle the largest joint frequency and put a box around the smallest marginal frequency.

Romanticism Gothic Total

Males

Females

Total

Part B: Which style was preferred as the state competition piece and by what percentage?

Part C: Which subject was preferred the most by Males?

Part D: What frequency does 125/232 represent?

Answer:

The answer is below

Step-by-step explanation:

Part A:

Romanticism, Gothic, Total

Males 48, 63, 111

Females 59, 62, 121

Total 107, 125, 232

Part B: The preferred style is Gothic by a percentage of

P = 125 ÷ 232

Hence, we have P = 54%

Part C: Based on the table provided, the subject aspired the most by males was Gothic since 63 males chose it over 48 chose Romanticism.

Part D: The frequency 125/232 depicts the total of people that preferred Gothic over the total of people in both categories.

Jason has a bag of 30 pencils. Each pencil is 18 centimeters long. What is the combined length of the pencils in meters?

Answers

I think it’s 540 meters

Urgent help … If you know,Please help me ☹️☹️☹️

Graph a line that is perpendicular to the given line. Determine the slope of the given
line and the one you graphed in simplest form. Click and drag on the graph to draw a
line.

Answers

Answer:

y=2/3

Step-by-step explanation:

Find two points on the line and find the slope.

1,-3 -1,1

y1-y2/x1-x2

-3-1/1--1

-3/2

Then find the reciprocal of this slope by flipping the numerator and the denominator, changing the sign from positive to negative and visa versa.

use the difference of two squares to find the value of 612 - 392​

Answers

Answer: 4 (153 - 98)

formula is a^2-b^2=(a+b)(a-b)

factor out the GCF:

4(153−98)

both terms are not perfect squares so

you cant factor it further.

Please help grade depends on it

Answers

Answer:

C

Step-by-step explanation:

17/10 is correct

I hope this helped, have a nice day

Find the equation of the line with Slope = -4 and passing through (-1,8). Write your equation in the form
y = mx + b

Does anyone mine helping me?

Answers

Answer:

y= -4x+4

Step-by-step explanation:

y=mx+b

where x=-1, y=8, and m=-4

8=(-4)(-1)+b

8=4+b

4=b

Thus, y= -4x+4

DID I GET THIS RIGHT PLEASE HELP ITS DUE IN 10 MINUTES ( DONT GIVE ME A LINK PLEASE)

Answers

Answer:

yes that is

Step-by-step explanation:

In 0.46, in which place is the 6?

Answers

Answer:

hundredths

Step-by-step explanation:

the 4 is in the tenth place therfore the 6 is in the hundredth place because it is 46/100

It is Hundredths
That place 6

Help me find part A and B

Answers

Answer:

Step-by-step explanation:

From the given question,

a). m∠WAX = 60°

   If m(arc WX) = 100°

   Then by theorem,

   Angle formed between the chords in a circle, measures the half of the sum of intercepted arcs.

   m(∠WAX) = [tex]\frac{1}{2}(\text{arc WX + arcYZ})[/tex]

   60° = [tex]\frac{1}{2}(100+\text{arcYZ})[/tex]

   120 = 100 + arc YZ

   120 - 100 = arc YZ

   m(arc YZ) = 20°

b). m(arc WX + arc YZ) = 2(60°)

    m(arc WX + arc YZ) = 120°  

show all steps solving 6x^2+x=5

Answers

6x^2 + x-5=0
6x^2 + 6x-5x-5=0
6x(x+1)-5(x+1)=0
(x+1)(6x-5)=0
x= - 1 5/6

Answer:

explain abit about it

please l don't understand

what is the answer to this question? Please give me the short answer and long answer.

Answers

Answer:

Each triangle weighs 3 grams.

Step-by-step explanation:

On the left side, there are 6 squares (12 grams) 3 circles (9 more grams), and 2 triangles (2x grams).

On the right side, there are 3 squares (6 grams) 2 circles (6 grams), and 5 triangles (5x grams).

This makes the equation 21 + 2x = 12 + 5x.

Let's find x.

21 + 2x = 12 + 5x

Subtract 5x from both sides.

21 - 3x = 12

subtract 21 from both sides.

-3x = -9

Divide by -3.

x = 3.

Each triangle weighs 3 grams. Let's prove this.

21 + 2x = 12 + 5x

21 + 2(3) = 12 + 5(3)

21 + 6 = 12 + 15

27 = 27

Use the equation below to find y, if m =6, x = 3, and b = 5.

y = mx + b

Answers

the answer is y = 24

1744 plus 9752 plus 9556

Answers

Answer: 21052

Step-by-step explanation:

Answer:

21052

Step-by-step explanation:

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