A photographer is planning to enlarge a photograph by a scale factor of 1:5 . The original photograph has an area of 154 square inches.

What is the area of the new photograph?

_____in²

Answers

Answer 1

Your answer should have been 3850 in^2

1^2/5^2 = 1/25

1/25 = 154/x
1x= 154 (25)
1x/1= 3850/1
x= 3850

Answer 2

A photographer is planning to enlarge a photograph by a scale factor of 1:5 . The original photograph has an area of 154 square inches.

Solution:

The photograph is being enlarged by a factor 5.

So, each dimension of the photograph is enlarged by 5

So, area is enlarged by [tex] 5^{2} [/tex]

Or, Area is enlarged by a factor=5*5=25

So, the Area of enlarged photograph=[tex] 5^{2} [/tex] *Area of original photograph

Area of enlarged photograph=25*Area of original photograph

Area of enlarged photograph=25*154

On multiplying 25 by 154 we get 3850

Area of enlarged photograph=3850[tex] inches^{2} [/tex]

Answer:

Area of new photograph=3850[tex] in^{2} [/tex]

Related Questions

Each leg of a 45°-45°-90° triangle measures 14 cm. What is the length of the hypotenuse? 7 cm cm 14 cm cm

Answers

check the picture below.

This one helps too.

Ur welcome.

Is the system of equations is consistent, consistent and coincident, or inconsistent?

y=−12x+3y=4x+2

Select the correct answer from the drop-down menu.

Drop-down Menu: consistent, consistent and coincident, or inconsistent

Answers

A system that is consistent has at least 1 solution. (That's what you have). It is also called a consistent dependent relationship when there is one solution. A consistent system can have many solutions or an infinite number.

You can eliminate an inconsistent system. That would happen when the lines are parallel.

It is consitent
! Hope this helps!

Maren is buying carpet for her rectangular living room. The room is 4.8 yards wide and 5.2 yards long. How much carpet does she need to buy?

Answers

I think the answer is 24.96 I multiplied!

Answer

A = 24.96 yd^2

Step-by-step explanation:

We need to find the area of the room

Area is length times width

A = lw

We know the length is 5.2 yds and the width is 4.8

A = 5.2 * 4.8

A = 24.96 yd^2

Kyle made a loaf of banana bread. He gave equal portions of 1\2 of the loaf to 4 friends what diagram could kyle use to find the fraction of the whole loaf of banana bread that each friend get

Answers

Well since Kyle is giving away 1/2 a loaf away to 4 people NOT including himself you would have to divide 1/2 by 4 or multiplying 1/2 by 1/4. 2*4=8 so your answer would be what ever has 1/8 in it.

What is the first error he made in computing the standard deviation?

A.Yuri failed to find the difference between each data point and the mean.

B.Yuri divided by n instead of n -1.

C.Yuri did not subtract 9 - 14 correctly.

D.Yuri failed to square -2 correctly.

Answers

b.yuri divided by n instead of n-1

Answer:

Step-by-step explanation:

Given is a sample with 4 items as

12,9,14,21

Mean = average of 4 = 14

s is the square root of sample variance

Sample variance is the sum of squares divided by n-1

But Yuri divided by 4 = n instead of 3 = n-1

That is the only mistake he did and all other steps are right.

The dimensions of a certain ibm machine are 20" x 17" x 48". if the size of the machine is increased proportionately until the sum of its dimensions equals 200", what will be the increase in the shortest side

Answers

The dimensions of the machine are 20,48 and 17. If each dimension is increased by a factor of x;
Then new dimensions are
20x, 48x and 17x
The sum of the dimensions are ;
20x + 48x + 17x = 200
85x = 200
x = 200/85
Therefore each dimension was increased by a factor of x,
The new dimension of the shortest side is 17” * 200/85 = 40
So the increase in the shortest side ;
40-17 = 23”

The sum of two complementary angles is 90°. For one pair of complementary angles, the measure of the first angle is 15 less than twice the measure of the second angle. Write a system of equations that can be used to determine the measure of the first angle, a, and the measure of the second angle, b.
•a+b=90
a-2b=15
•a+b=90
2b-15=a
•a+b=90
2b+15=a
•a+b=90
2a-15=b

Answers

Let
a---------------> first angle
b---------------> second angle
we know that
a+b=90
and
the measure of the first angle is 15 less than twice the measure of the second angle
a=(2b)-15

A system of equations that can be used to determine the measure of the first angle, a, and the measure of the second angle, b is
a+b=90
a=(2b)-15

Caleb performed an experiment in which he rolled a number cube 100 times. He recorded the results in a table.

What was the experimental probability of rolling a 4?

Number Rolled - Frequency - Experimental Probability
1 15 0.15
2 17 0.17
3 17 0.17
4 14 ?
5 21 0.21
6 16 0.16

Answers

Answer: The experimental probability of rolling a 4 is 0.14

Experimental probability of rolling a 4 = (frequency of rolling a 4) / (Total number of rolling the number cube)

Frequency of rolling a 4 = 14
Total number of rolling the number cube = 100

Replacing in the formula above:
Experimental probability of rolling a 4 = 14 / 100
Experimental probability of rolling a 4 = 0.14

Answer:

The experimental probability of rolling a 4 is 0.14.

Step-by-step explanation:

Given : Caleb performed an experiment in which he rolled a number cube 100 times. He recorded the results in a table.

Number Rolled - Frequency - Experimental Probability

1 15 0.15

2 17 0.17

3 17 0.17

4 14 ?

5 21 0.21

6 16 0.16

To find : What was the experimental probability of rolling a 4?

Solution :

Formula to find the experimental probability is

[tex]\text{Experimental Probability}=\frac{\text{Frequency of the number}}{\text{Total number of times cube roll}}[/tex]

We also notice that this pattern follows by other numbers also.

So, The experimental probability of rolling a 4 is

[tex]\text{Experimental Probability}=\frac{14}{100}[/tex]

[tex]\text{Experimental Probability}=0.14[/tex]

Therefore, The experimental probability of rolling a 4 is 0.14.

Pablo folds a straw into a triangle with side lengths of 4x -2 inches and 4x -1 inched . The perimeter of the triangle is 12x -6 inched . If x =1.5 what was the length of the straw before it was folded ?

Answers

If x = 1.5, than the length of the straw before it is folded is 21 inches. You can find this in the following steps :

12(1.5)^2 -6 = length

12(2.25) -6 =

27 -6 =

21

Your answer is: 21 inches

Have an amazing day mate!

Shoutout to: @Apologiabiology

Answer:

Step-by-step explanation:

Laura has $18.45 left after buying a shirt for $16.80 and a sweater for $24.75
How much money did Laura start with?
plz explain

Answers

Just add all the numbers together
18.45+16.80+24.75 which equal $60

If you want to check your answer just subtract the amount spent on the shirt and sweater by 60 and you should get 18.45

Laura started with $60.00 before purchasing a shirt for $16.80 and a sweater for $24.75, and then had $18.45 remaining.

Calculating Laura's Starting Amount

To find out how much money Laura started with, we need to add the amount she spent on the shirt and sweater to the amount she had left over. Laura spent $16.80 on a shirt and $24.75 on a sweater. After these purchases, she had $18.45 remaining.

We calculate the total amount spent by adding the costs of the shirt and sweater together:

Cost of the shirt: $16.80

Cost of the sweater: $24.75

Total spent: $16.80 + $24.75 = $41.55

We now add the amount left after the purchases to find the total amount Laura started with:

Total spent: $41.55

Amount left: $18.45

Total amount Laura started with: $41.55 + $18.45 = $60.00

Simplify and leave in radical form.
8√x^2 y^6

Answers

correct answer: 8xy^6

8sqrt(x^2y^6)
8sqrt(x•x•y•y•y•y•y•y)

Since there are 2 xs, we can pull them out of the radical.
8xsqrt(y•y•y•y•y•y)

Since there are 6 ys, we can pull them all out and there are 3 left now.
8xy^3

There is nothing left inside the radical so we can get rid of it!

Best wishes:)

Please help me with this question....
Is 0.17 repeating times square root of 108 rational or irrational? Justify your answer.

Answers

Hey there! :D

Any repeating number is rational.

The square root of 108 is 10. 3923048454

It is irrational. Its numbers do not repeat.

So, if you were to multiply a rational and irrational number, it would be irrational.

We can even test this:

.17171717171717171717171*10.392304....= 1.784537....

I hope this helps!
~kaiker

A pair of shoes that normally costs $75 is on sale for $55. What is the percent decrease in the price, to the nearest whole percent?

Answers

So you subtract 75-55=20 then you divide 20/75 and you get the answer of .26 then you make the decimal into a percent making it 26%

I think it would be 15%

Find the slope and the y-intercept of the equation y − 3(x − 1) = 0.

slope = -3 and y-intercept = -3

slope = 3 and y-intercept = 3

slope = -3 and y-intercept = 3

slope = 3 and y-intercept = -3

Answers

The slope and the y-intercept of the equation y − 3(x − 1) = 0 are: slope = 3 and y-intercept = -3. The correct option is the fourth option (slope = 3 and y-intercept = -3)

To determine the slope and y-intercept of the equation, we will rewrite the equation in the form of the slope-intercept form of the equation of a straight line.

The slope-intercept form equation of a straight line is

y = mx + c

Where m is the gradient

and c is the y-intercept

From the question, the given equation is y − 3(x − 1) = 0

This can be rewritten in form of the equation of a straight line as

y -3x +3 = 0

Then,

y = 3x - 3

Now, compare this to y = mx + c (the slope-intercept form of the equation of a straight line)

Then,

m = 3 and c = -3

That is,

slope = 3 and y-intercept = -3

Hence, the slope and the y-intercept of the equation y − 3(x − 1) = 0 are: slope = 3 and y-intercept = -3. The correct option is the fourth option (slope = 3 and y-intercept = -3)

Learn more here: https://brainly.com/question/20341753

Anybody know the answer to this?

Answers

If the radius of the circle is 1, its area is π*1^2 = π units^2.
If the radius of the circle is 1, the side length of the square is √2 and its area is (√2)^2 = 2.

The ratio of square area to circle area is 2/π ≈ 63.7%.

Hassan built a fence around a square yard. It took 500 feet of lumber to build the fence. The fence is 5 feet tall. What is the area of the yard inside the fence?

Answers

The area of the yard inside the fence will be 15,625 feet². Square centimeters and other similar units are used to measure area.

What is the area?

The space filled by a flat form or the surface of an item is known as the area.

lumber required to build the fence = 500 feet

The side of the square yard is ;

[tex]\rm a = \frac{500}{4} \\\\ a =125\ feet[/tex]

The fence is 5 feet tall. The area of the yard inside the fence is found as;

[tex]\rm A_f = side \times side \\\\ \rm A_f =125 \times 125 \\\\ \rm A_f =15,625 \ feet^2[/tex]

Hence the area of the yard inside the fence will be 15,625 feet².

To learn more about the area refer to the link;

https://brainly.com/question/11952845

#SPJ3

A cube has a length of 9.3 cm. what is the surface area of the cube?

Answers

Answer: 518.94 square centimeters

Explanation:

The surface area of the cube is given by

Surface Area = 6*(edge)²

Since the edge of the cube in this problem is its length, the egde is 9.3 cm. Hence, the surface area of the cube is calculated as

Surface Area = 6*(edge)²
= 6*(9.3 cm)²
Surface Area = 518.94 square centimeters

At how many points does the graph of the function below intersect the x-axis?

y = 25x2 - 10x + 1

A. 0
B. 1
C. 2

Answers

Answer:

It is one.

Step-by-step explanation:

If you didn't get 1 re read the problem

Find the roots of the equation x^3-3x^2+x+5

Answers

First observe that x=-1 is a root of the equation. Use long division to divide x^3-3x^2+x+5 by x+1, we find that (x^3-3x^2+x+5)/(x+1)=(x^2-4x+5). Now we need to find the roots of x^2-4x+5.
x^2-4x+5=0,
x^2-4x+4=-1,
(x-2)^2=i,
x-2=i or -1,
x=2+i or 2-i.
The three roots are 2+i, 2-i, -1.

Write the equation of the circle with center (−1, −3) and (−7, −5) a point on the circle.

Answers

so, we know the center is at -1, -3, hmmm what's the radius anyway?

well, the radius will be the distance from the center to any point on the circle, it just so happen that we know -7, -5 is on it, thus

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -1 &,& -3~) % (c,d) &&(~ -7 &,& -5~) \end{array} \\\\\\ d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ r=\sqrt{[-7-(-1)]^2+[-5-(-3)]^2}\implies r=\sqrt{(-7+1)^2+(-5+3)^2} \\\\\\ r=\sqrt{36+4}\implies r=\sqrt{40}\\\\ -------------------------------[/tex]

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-1}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{\sqrt{40}}{ r} \\\\\\\ [x-(-1)]^2+[y-(-3)]^2=(\sqrt{40})^2\implies (x+1)^2+(y+3)^2=40[/tex]

Why are angles measured in degrees minutes and seconds?

Answers

The sexagesimal system is a numbering system that uses the base sixty. It is used to measure times (hours, minutes and seconds) and angles (degrees, minutes and seconds). In this system, 60 units of an order form a unit of higher order. Thus, 60 seconds form 1 minute, and 60 minutes form 1 hour or 1 degree, according to time or angles.

The use of the number sixty as a basis for the measurement of angles, coordinates and time measurements is linked to old astronomy and trigonometry. It was common to measure the elevation angle of a star and trigonometry uses right triangles.

Which number completes the square? x2 + 18x + _____?

Answers

81 because (a + b)^2 = a^2 + 2ab + b^2
Thus x^2 + 2(9)(x) + (9)^2 = x^2 + 18x + 81

The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle measure are given.
What is the measure of angle X? Round the answer to the nearest tenth.

Answers

ANSWER

[tex]x = 50.5 \degree[/tex]

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,

[tex] \frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c} [/tex]

From the triangle,

[tex] \frac{ \sin(x) }{60} = \frac{ \sin(40) }{50} [/tex]

We multiply both sides of the equation by 60 to get,

[tex] sin(x) = \frac{ 60\sin(40 \degree) }{50} [/tex]

[tex] sin(x) = 0.7713[/tex]

We solve for x to obtain,

[tex] x = arcsin(0.7713)[/tex]

[tex] x = 50.475[/tex]

To the nearest tenth, we round to one decimal place to get,

[tex] x = 50.5 \degree[/tex]

Which of these is a correct statement regarding payday loans?
A.) Theyŕe easier to get than both car loans and credit cards.
B.) Theyŕe easier to get than credit cards but harder to get than car loans.
C.) Theyŕe easier to get than car loans but harder to get than credit cards.
D.) Theyre harder to get than both car loans and credit cards.

Answers

A-They're easier to get than both car loans and credit cards.

Answer:

A.) They are easier to get than both car loans and credit cards.

Step-by-step explanation:

Payday loans are also called cash advance loans or check advance loans.

These loans are comparatively very easy loans for a person to get. These are short term loans that come with high interest rates. The rates are based on the borrower's income and credit profile.

In this loan the principal amount is typically a small portion of the borrower's next paycheck.

How many odd integers from 1000 through 9999 have distinct digits?

Answers

we know that
step 1
the number of elements in a list from n to m is (m-n)+1
therefore
from 1000 to 9999 there are
(9999-1000)+1 = 9000 elements
step 2
Since even and odd numbers alternate, half of our list is composed of odd numbers. Therefore, there are 4500 of them
step 3
To construct a 4 digit odd number, we have 5 choices for the last digit.
(1-3-5-7-9)
then
we have
8 choices for the first (not 0 or same as last digit),
8 choices for the second
7 choices for the third.
there are (8)(8)(7)(5) = 2240

the answer is 2240 odd numbers with distinct digits in the list

Find an angle between 0° and 360° that is coterminal with 538°.

Answers

To find a positive and a negative angle coterminal with a given angle, you can add and subtract if the angle is measured in degrees or if the angle is measured in radians

is -4 real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions may apply.)

Answers

-4 is real and partially complex, since it does not exist in all situations involving numbers, but is still a widely used number that can be real when calculating.

Hope this helps!

Which graph represents the solution set for the inequality x ≤ 18?

Answers

x ≤ 18
For this case, what you must do is plot the line x = 18 and verify all the points that are less or equal than said line.
We have that in this case, the solution set of the inequality is the shaded region.
See attached graph.

Answer:D. it’s the last one

Step-by-step explanation:

Factor and find all the zeros of 2x^3+3x^2-8x+3 if -3 is a zero

Answers

Using synthetic division, you can find the quadratic factor to be
.. 2x^2 -3x +1
That, in turn, factors as
.. (2x -1)(x -1)
So the complete factorization is
.. (2x -1)(x -1)(x +3)

and the zeros are confirmed by a graphing calculator to be
.. x = 1/2, 1, -3

The square of the sum of two consecutive natural numbers is greater than the sum of the squares of these two numbers by 112. find the two numbers.

Answers

We solve the equation, ( a + a + 1 )^2 = 112 + a^2 + ( a + 1 )^2;
Then, ( 2a + 1 )^2 = 112 + a^2 + a^2 + 2a +1;
4a^2 + 4a + 1 = 113 + 2a^2 + 2a;
Finally, 2a^2 + 2a - 112 = 0;
a^2 + a - 56 = 0;
We use Quadratic Formula for this Quadratic Equation;
The solutions are a1 = 7 and a2 = -8;
But a is a natural number; so, a = 7;
The natural consecutive numbers are 7 and 8.

The two consecutive numbers are 7 and 8.

Consecutive numbers are numbers that follow each other. For example, 1,2,3,4 are consecutive numbers.

Let:

x = first number

(x + 1) = second number

From the question, this expression can be derived:

[(x) + (x + 1)] ²

This can be simplified to (2x +1)²

The second expression is : x² + (x +1)²

(2x +1)² - [x² + (x +1)²] = 112

expanding the bracket gives:

(4x² + 4x + 1) - [x² + (x² + 2x +1) = 112

4x² + 4x + 1 - 2x² - 2x - 1 = 112

Add like terms

2x² + 2x = 112

Divide both sides by 2

x² + x = 56

x² + x - 56 = 0

Factorise the equation

The factors of -56x² that add up to x are : 8x and -7x

(x² - 7x) (8x - 56) = 0

x(x - 7) 8(x -7) = 0

x = 7

x = -8

Since x cannot be a negative number, x is 7 and (x + 1) = 8

A similar question was solved here: https://brainly.com/question/14024870?referrer=searchResults

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A photographer is planning to enlarge a photograph by a scale factor of 1:5 . The original photograph has an area of 154 square inches. What is the area of the new photograph? _____in²

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A photographer is planning to enlarge a photograph by a scale factor of 1:5 . The original photograph has an area of 154 square inches.

What is the area of the new photograph?

_____in²