A square has one of its sides increased by 7 inches and the other side decreased by 4 inches. Which of the following represents the area of the square?

Answer: The area is 103.5

Step-by-step explanation: The question becomes very simple once you know how to split this object into objects that you most likely know how to solve the area of. In truth, if you split the shapes in triangles and rectangles, you would find 4 rectangles and a triangles. Once you have solved the area of all of them, you would just have to add. How I solved it goes like this. I added 22.5 as the triangle, 35 as a rectangle, 2 as another rectangle, 18 as another rectangle, and 26 as the final rectangle.(take note that these numbers are the areas of the split shapes) If you added correctly, you would get 103.5

Answer:

x = 65

Step-by-step explanation:

2x + 15 and 145 are vertical angles and congruent, thus

2x + 15 = 145 ( subtract 15 from both sides )

2x = 130 ( divide both sides by 2 )

x = 65

Answer:65

Step-by-step explanation:

2x+15=145. Because opposite angles are equal

2x+15=145

Collect like terms

2x=145-15

2x=130

Divide both sides by 2

2x/2=130/2

x=65

Answer:

x = 6, y = -2

Step-by-step explanation:

x-2y = 10

y = -6x +34

Substitute the second equation into the first for y

x - 2(-6x+34) = 10

Distribute

x +12x - 68 = 10

Combine like terms

13x -68 = 10

Add 68 to each side

13x - 68+68 = 10+68

13x = 78

Divide each side by 13

13x/13 = 78/13

x = 6

Now find y

y = -6x+34

y = -6(6)+34

y = -36+34

 =-2

Answer:

x = 6 y = -2

Step-by-step explanation:

x-2y = 10

x = 10 + 2y

y = -6x +34

y = -6(10 + 2y) + 34

y = -60 - 12y + 34

13y = -26

y = -2

x = 10 + 2(-2)

x = 10 - 4

x = 6

Answer:

The equation for difference in altitude of the two helicopters is A =  650 - 100t

Step-by-step explanation:

Given;

The altitude of one helicopter is, A1 = 600 + 150t

The altitude of a second helicopter is,  A2 = 1250 + 50t

Their difference in altitude, A at time t, is calculated as

A₂ - A₁  = A = (1250 + 50t) - (600 + 150t)

A₂ - A₁  = A =  1250 + 50t - 600 -150t

A₂ - A₁  = A = 1250 - 600 + 50t - 150t

A₂ - A₁  = A =  650 - 100t

Therefore, the equation for difference in altitude of the two helicopters is A =  650 - 100t

Answer:

276

Step-by-step explanation:

Answer:

C, Last Ice Age

Step-by-step explanation:

A land bridge wouldn't be developed by humans. The only reasonable explanation would be the last Ice Age

A land bridge from Asia to the Americas was made possible by the last Ice Age.  So, the correct answer is C.

A land bridge is an isthmus or wider land connection between otherwise separate areas, over which animals and plants are able to cross and colonize new lands.

A land bridge from Asia to the Americas was made possible by the last Ice Age.

During the last Ice Age, much of the Earth's water was locked up in glaciers, causing sea levels to drop and exposing a land bridge between Asia and North America.

This allowed prehistoric people to migrate from Asia to the Americas, a journey that would not have been possible without the land bridge created by the last Ice Age.

Hence, A land bridge from Asia to the Americas was made possible by the last Ice Age.  So, the correct answer is C.

To learn more on Land Bridge click:

https://brainly.com/question/17471924

#SPJ6

Answer:

A

Step-by-step explanation:

Given 2 secants from a point outside the circle.

Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is

(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)

(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides

x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides

4x + 12 = 20 ( subtract 12 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2 → A

Answer:

[tex]12n^4-15n^3-3n^2[/tex]

Step-by-step explanation:

The first step is to distribute the [tex]3n^2[/tex] to [tex](4n^2-5n-1)[/tex], like so:

[tex](4n^2-5n-1)[/tex][tex](3n^2)[/tex]

[tex]12n^4-15n^3-3n^2[/tex]

Answer:

independent and 1/16

Step-by-step explanation:

independent because you are not getting it you are just spinning.

1/4 times 1/4

i may be wrong on this

Answer:

12

Step-by-step explanation:

Divide 48 into 4 parts

Answer:

(25:100)*48=

(25*48):100=

1200:100=12

Answer=12

Step-by-step explanation:

Step 1:   Set up the formula for the surface area of a regular pyramid.

SA = [tex]\frac{p*h}{2} + B[/tex]

where :

Step 2:  Plug the perimeter of the base into the formula

you can calculate the perimeter by multiplying the length of one edge by the number of edges.

Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)

Step 4: find the area of the base (depend on the shape of the base)

Hope it will find you well.

Answer:

(1,5)

Step-by-step explanation:

plug in the x and y values to see if they are equal in the equation. If not, then you know the answer is wrong.

Answer: if you need help ask

Step-by-step explanation:

First you start by finding a problem

Next you ask someone to help you with the problem, simple :)

Answer:

D) 2

Step-by-step explanation:

Absolute values are never negative, so B is wrong. Absolute value is the distance from zero, in this case, 2.

Answer:

$8.73 per package of candy bars

Step-by-step explanation:

10.25 - 1.52=

Answer:

d

Step-by-step explanation:

Answer:

C. 35

Step-by-step explanation:

7/40=x/200

200/40 x 7=35

Answer:

D

Step-by-step explanation:

To factor a quadratic you need to think about what adds up to the b coefficient (the number in front of b) and multiplies to the constant. 3 and 4 do these, but you also know that you have -7 instead of positive 7. A negative times a negative is equal to a positive, which you can do (x-3)(x-4) to equal your quadratic trinomial.

Answer:

2.

4x^2 + 4 - 5x + x - 2x^2 + 8

= (4x^2 - 2x^2) + (x - 5x) + (4 + 8)

= 2x^2 - 4x + 12

=> D is correct

3.

2x^2 + 6x - 7x + 8 - 3x^2 + 1

= (2x^2 - 3x^2) + (6x - 7x) + (1 + 8)

= -x^2 - x + 9

=> C is correct

4.

B is correct (4 and 3)

Hope this helps!

:)

Answer:

In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792

Step-by-step explanation:

Here we have that the formula for population presented as follows;

[tex]A = P(1+r)^t[/tex]

Where:

A = Population after growth

P = Original population = 3400

r = 5% = 0.05

t = Time = 17 years

Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;

[tex]A = 3400 \times (1+0.05)^{17} = 7792.86[/tex]

Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.

Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.

Answer:

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 3400

r = 5% = 5/100 = 0.05

t = 17 years

Therefore

y = 3400(1 + 0.05)^17

y = 3400(1.05)^17

y = 3400 × 2.2920183178

y = 7800 to the nearest thousand

Answer:

The answer is 784

Step-by-step explanation:

You divide 17 from 45 it will equal 2.647 years technically 2 year that the population has doubled.

You multiply 196 by 2 and do that a second time to get 784.

Answer:

c

Step-by-step explanation:

Answer:

c)

Step-by-step explanation:

Answer:

In 2008 the US population was 4.55% of the world population.

Step-by-step explanation:

In order to calculate the percent of the world population that represents the US population, we can apply a rule of three in such a way that the world population is related to 100% in the same proportion that the US population is related to x%. We then solve for x. This is shown below:

6.7*10^9 -> 100%

305*10^6 -> x%

6.7*10^9 / 305*10 ^6 = 100 / x

6.7*10^3 / 305 = 100 / x

(6.7*10^3)*x = 305*100

x = 30500 / (6.7*10^3)

x = 4,55 %

In 2008 the US population was 4.55% of the world population.

Answer: 6.76 109

Step-by-step explanation:

Answer:

The ratio of shadow should be kept, then we have: x/25 = 3/5

=> x = 25 x 3/5 = 15

=> The flagpole is tall 15 feet

Hope this helps!

:)

Answer:

15 feet

Step-by-step explanation:

Length : shadow

3 : 5

X : 25

X/25 = 3/5

X = 25 × 3/5

X = 15

Answer:

#4: 4 hits

Step-by-step explanation:

At first, you are given the ratio 1/37 which you can scale to 148 by dividing and multiplying both by. So you divide 148/37 to reach 4 and then multiply 4 by 1 to find out that about four hits will prbably be made.

Answer:

the answer for number four is four and number five is 39

I am not sure about number 5 plz check                                                             somebody.

Step-by-step explanation:

Answer:

x = - 12, x = 2

Step-by-step explanation:

Given

x² + 10x = 24

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(5)x + 25 = 24 + 25

(x + 5)² = 49 ( take the square root of both sides )

x + 5 = ±  = ± 7 ( subtract 5 from both sides )

HOPE THIS HELPS

Answer:

x  =  2 ,  − 12

Step-by-step explanation:

Use the formula  ( b /2 ) (^)2  in order to create a new term. Solve for  x  by using this term to complete the square.

Answer:0.5<0.509<0.59<0.9<5.9

Step-by-step explanation:

Maths

Answer:

0.5,0.509,0.59,0.9,5.9

Step-by-step explanation:

Answer: Matt is correct

Step-by-step explanation: length x width x height so it's D

Theoretically, on a number cube, each side has an equal chance. There are 6 sides, and 2 is one of the sides, so then you subtract 1/6, which would leave you with 5/6.

D. 5/6

Answer:

c=24

Step-by-step explanation:

Step 1: Add 7 to both sides.

1/3c−7+7=1+7

1/3c=8

Step 2: Multiply both sides by 3.

3*(1/3c)=(3)*(8)

c=24

hope i helped

-lvr

Answer:

18.1818181  Feet

Step-by-step explanation:

Divide 27.5 by 20 to establish a ratio between the length and width of the house, then multiply your new ratio by 25. Units do not matter, as long as it's not like 27.5 mm high by .05 ft wide.