4. A rectangle with area 1,600 m2 is 4 times as long as it is wide. What is the sum of the diagonals?

Answer:

12.7, because the absolute value gets rid of the negative integer, and shows it true value which is positive 12.7.

Step-by-step explanation: Have a Happy Thursday :)

Answer:

sides are 17 cm and 27 cm

Step-by-step explanation:

let the side be x then the adjacent side is x + 10

The perimeter is then

x + x + x + 10 + x + 10 = 88, that is

4x + 20 = 88 ( subtract 20 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17

and x + 10 = 17 + 10 = 27

The sides of the parallelogram are 17 cm and 27 cm

Answer: ik nothing of basketball sorry

Answer:

11

Step-by-step explanation:

its the most common number

Answer:

m=5

Step-by-step explanation:

1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]

6. Check if the solution is in the defined range so ... m=5

Answer: 763.02 in^2

Step-by-step explanation:

For a circle of radius R, we know that:

The area is:

A = pi*R^2

the circumference is:

C = 2*pi*R

where pi = 3.14

We know that the circumference of the bullseye is 18*pi, then the radius of this circle is:

2*pi*R = 18*pi

2*R = 18

R = 18/2 = 9

The radius of the bullseye is 9 inches.

Now, the area of the target that is not part of the bullseye is equal to the difference between the area of a circle of radius 18in (the total target area) and a circle of radius 9in (the bullseye area)

This is:

A = pi*(18in)^2 - pi*(9in)^2 = 3.14*( (18in)^2 - (9in)^2) = 763.02 in^2

9514 1404 393

Answer:

  A, B, D  

Step-by-step explanation:

The figure is symmetrical about the horizontal centerline, so triangles, angles, and segments above that line are congruent with corresponding segments below that line. Choices A, B, D are true statements.

__

There is nothing in the figure to indicate that ΔFGK is isosceles, so statement C cannot be considered to be true.

Step-by-step explanation:

The formula for the circumference of a circle is 2*pi*radius

Circumference = 2(3.14)(2.1)

= 13.188cm

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline {\underline{ \text{ Solution}}} : [/tex]

From equation ( i ) :

-4x - y = 19

-y = 19 + 4x

-y = - ( -19 - 4x )

y = -4x - 19 ------ Equation ( iii )

Substituting the value of y from equation ( iii ) in equation ( ii ) , we get :

[tex] \tt{x - 2y = - 7 }[/tex]

⇾ [tex] \tt{x - 2( - 4x - 19) = - 7}[/tex]

⇾ [tex] \tt{x + 8x + 38 = - 7}[/tex]

⇾ [tex] \tt{9x = - 7 - 38}[/tex]

⇾ [tex] \tt{9x = - 45}[/tex]

⇾ [tex] \tt{x = \frac{ - 45}{9}} [/tex]

⇾ [tex] \boxed{ \tt{x = - 5}}[/tex]

Substituting the value of x in equation ( i ) , we get :

⇾ [tex] \tt{ - 5 - 2y = - 7}[/tex]

⇾ [tex] \tt{ - 2y = - 7 + 5}[/tex]

⇾ [tex] \tt{ - 2y = - 2}[/tex]

⇾ [tex] \tt{y = \frac{ - 2}{ - 2}} [/tex]

⇾ [tex] \boxed{ \tt{y = 1}}[/tex]

The possible solution of the system is ordered pair ( x , y ) = ( -5 , 1 ) .

[tex] \red{ \boxed{ \boxed { \tt{Our \: final \: answer : \boxed{ \tt{( - 5 \:, 1 \: )}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

x=5

Step-by-step explanation:

So first we want to find x by itself, so we can subtract 4 from both sides:

x=5

That is your simple answer!

Step-by-step explanation:

[tex] \huge{ \sf{x + 4 = 9}}[/tex]

~ Move 4 to right hand side and change it's sign :

⟼ [tex] \huge{ \sf{x = 9 - 4}}[/tex]

~ Subtract 4 from 9

⟼ [tex] \huge{ \sf{x = 5}}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{ \text{5}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ツ

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Answer:

3a-27

Step-by-step explanation:

Distribute the 3

3 x a is 3a

3 x 9 is 27

Answer: 7825 calories

Step-by-step explanation:

Feom the question, we are told that the meals have the following calories content meals having the following calorie counts: 975,520, 1560

.872, 1029,534,362,954, and 1019.

The sum of the calories will be:

= 975 + 520 +1560 + 872 + 1029 + 534 + 362 + 954 + 1019.

= 7825 calories

Answer:

The Y intercept is (0,7)

Step-by-step explanation:

If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)

Answer:

x = 29

Step-by-step explanation:

Answer:Pierre has $17 left

Step-by-step explanation:

Amount of money before dues = $42

according to the expression 42-d, d represents dues= $25

Amount left = Amount of money before dues - Amount of dues

                  = $42- $25

                  =$17

Pierre has $17 left after he spent $25 on dues.

Answer:

20 degrees

Step-by-step explanation:

vertical angles are congruent:

x+10=30

Answer:

its a black picture...?

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

If we assume that the segment marked (2x+1) is a midsegment, then it is half the length of the parallel base:

  2(2x+1) = 8x-2

  4x +2 = 8x -2 . . . . eliminate parentheses

  4 = 4x . . . . . . . . . . add 2-4x to both sides

  1 = x . . . . . . . divide by 4

__

The above assumption makes the two segments marked with z-expressions be the same length:

  3z = z +22

  2z = 22 . . . . . .  subtract z

  z = 11 . . . . . . . . . divide by 2

The values of X and Z are 1 and 11, respectively.

Answer:

i don't know what the hangers are for but the calculation is given below

Step-by-step explanation:

40 = 2f + 12

40 - 12 = 2f

28 = 2f

28/2 = f

14 = f

therefore f = 14

Answer:

(y − 9) (y − 2)

Step-by-step explanation:

Factor  y^2 − 11y + 18 using the AC method.

(y − 9) (y − 2)

The “AC” method or factoring by grouping is a technique used to factor trinomials. A trinomial is a mathematical expression that consists of three terms.

Answer:

The ruler at store A cost more

Step-by-step explanation:

Ruler A=$0.95 per ruler

Ruler B=$0.92 per ruler

Answer:

Step-by-step explanation:

Here you go mate

Step 1

2n=n+3  Equation/Question

Step 2

2n=n+3  Simplify

2n=n+3

Step 3

2n=n+3  Subtract n

answer

n=3

The value of n is given by the equation n = 3

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2n = n + 3   be equation (1)

On simplifying the equation , we get

Subtracting n on both sides of the equation , we get

2n - n = 3

n = 3

Therefore , the value of n is 3

Hence , the equation is n = 3

To learn more about equations click :

https://brainly.com/question/19297665

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Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

Answer:

The answer is not 1 or 0

I think its D. infinitely many

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Y=.5x

Step-by-step explanation:

For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps

Answer:

x=3

Step-by-step explanation:

14-x=5x-4

Add the x from the left side to the right

14=6x-4

and the 4 to the left side

16=6x

6x=18

x=3

Answer:

x = 3

Step-by-step explanation:

If we substitute  x for 3 it will give u the following expression:

14 - 3 = 5 x 3 - 4

If we solve both these expressions they will both give us: 11

This will prove the equation correct

If your question is which propperty is used in that opperation

Answer: The commutative property of multiplication

Step-by-step explanation: The comutative property of multiplication says that the order in which elements are multiplied the result is the same.