Find the solution to the system of equations

Answer:

here,radius =2 in

now use formula pie (r)^2 where pie is 3.14

=pie *(r)^2

=3.14*(2in.)^2

=3.14*4in.^2

12.56in.^2

Step-by-step explanation:

Answer:

Brainiest please

Step-by-step explanation:

In finance, the rule of 72, the rule of 70 and the rule of 69.3 are methods for estimating an investment's doubling time. The rule number (e.g., 72) is divided by the interest percentage per period (usually years) to obtain the approximate number of periods required for doubling. Although scientific calculators and spreadsheet programs have functions to find the accurate doubling time, the rules are useful for mental calculations and when only a basic calculator is available.

Answer:

[tex]NP = 24.18[/tex]

Step-by-step explanation:

Given

[tex]NK = 7x - 1[/tex]

[tex]NM = 10x - 13[/tex]

[tex]KM = 24[/tex]

See attachment

Required

Length of NP

First, calculate the value of x

[tex]NK = NM[/tex]

So:

[tex]7x -1 = 10x - 13[/tex]

Collect like terms

[tex]10x - 7x = 13 - 1[/tex]

[tex]3x =12[/tex]

Solve for x

[tex]x = 4[/tex]

To solve for NP, we consider right triangle [tex]\triangle NKP[/tex]

Where

[tex]NK = 7x - 1[/tex]

[tex]NK = 7 * 4 - 1[/tex]

[tex]NK = 27[/tex]

[tex]KP =\frac{1}{2}KM[/tex]

[tex]KP =\frac{1}{2} * 24[/tex]

[tex]KP =12\\[/tex]

Using Pythagoras theorem, we have:

[tex]NK^2 = KP^2 + NP^2[/tex]

[tex]27^2 = 12^2 + NP^2[/tex]

[tex]729 = 144 + NP^2[/tex]

Collect like terms

[tex]NP^2 = 729 - 144[/tex]

[tex]NP^2 = 585[/tex]

Take square roots

[tex]NP = \sqrt{585[/tex]

[tex]NP = 24.18[/tex]

Answer:

7 percent or 11

Step-by-step explanation:

that is right correct answer

Answer:

12 + 5X = Y

Step-by-step explanation:

Given that a video store charges $ 5 per game rental plus $ 12 to rent the game system, to write an expression for renting the game system and a number of games the following logical reasoning must be performed:

5 = variable not fixed, depends on the number of games

12 = fixed variable

X = number of games

Y = total value

12 + 5X = Y

Thus, if 5 video games were rented, the equation would operate as follows:

12 + 5x5 = Y

12 + 25 = Y

37 = Y

Answer: 6,9000

Step-by-step explanation:

[tex] - 7(6m + 2) = - 308 \\ ➪ \: - 42m - 14 = - 308 \\ ➪ \: - 42m \: = - 308 + 14 \\ ➪ \: m = \frac{ - 294}{ - 42} \\ ➪ \: m \: = 7[/tex]

[tex] - 7(6 \times 7 + 2) = - 308 \\ ➵ - \: 7(42 + 2) = - 308 \\ ➵ \: - 7 \times 44 = - 308 \\ ➵ \: - 308 = - 308[/tex]

➵ L. H. S. = R. H. S.

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

54.5

Step-by-step explanation:

To find the median, first we have to put the numbers in ascending/increasing order.

43, 60, 50, 36, 58, 50, 73, 59, 69, 51 is your set

36, 43, 50, 50, 51, 58, 59, 60, 69, 73 is your set in order.

The median is the middle number of the data set. Your set has an even number of entries, so we have to average the 2 middle numbers, which are 51 and 58.

36, 43, 50, 50,     51, 58,         59, 60, 69, 73

51 + 58 = 109

109/2 = 54.5

Answer:

D) -3n - 2

Step-by-step explanation:

Hope this helps

Answer:

x = 11

Step-by-step explanation:

[tex]x-3y=-7[/tex]

[tex]5x=-2y+67[/tex]

=> [tex]x=\frac{1}{5}(-2y+67)[/tex]

=> [tex]x=-\frac{2}{5}y+\frac{67}{5}[/tex]

=> [tex]-\frac{2}{5}y+\frac{67}{5}-3y=-7[/tex]

=> [tex]-\frac{17}{5}y+\frac{67}{5} =-7[/tex]

=> [tex]\frac{-17}{5}y=-\frac{102}{5}[/tex]

=> y = 6

=> [tex]x=-\frac{2}{5} .6+\frac{67}{5}[/tex]

=> x = 11

Answer:

54

Step-by-step explanation:

First solve for brackets then multiplication or division then addition or subtraction

Answer: 52.

Step-by-step explanation: I don't know if you know about PEMDAS, but it basically stands for (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). So first, we would do Parenthesis. In the parenthesis, we have 3 + 4 - 1. Addition and Subtraction are the same, since they are inverse operations. We would start from left to right, so the addition goes first. 3 + 4 = 7. Now we are left with 7 - 1. 7 - 1 = 6. The equation so far is: 16/4 + 54 - 6. Next, we will do division. 16 ÷ 4 = 4. The equation so far is: 4 + 54 - 6. Now, we have to add 4 + 54 since we are doing it from left and right. 54 + 4 = 58. We are left with 58 - 6. 58 - 6 = 52. So your final answer is 52. Hope this helps!! :) **I tried my best**

I'm still doing the rest but number 1 is D

Answer:

7

Step-by-step explanation:

Makes both expressions exactly identical and equivalent in value.

Answer:

x = 48

Step-by-step explanation:

The two angles shown in the diagram are supplementary and add to 180° because they form a straight line. We can set up an equation:

x - 12 + 3x = 180

4x - 12 = 180

4x = 192

x = 48

Answer:

[tex]x=42[/tex] ✔︎

Step-by-step explanation:

∠1= 3x=3×42=126°

∠2=x-12=42-12= 30°

------------------------------

hope it helps...

have a great day!!

Answer:

38 and 21

Step-by-step explanation:

add 12+12+15 =38

add 6+6=12

take away 15-12=3

and then add 18+3=21

Answer:

28938.24

Step-by-step explanation:

A=π[tex]r^{2}[/tex]

  = 3.14 x [tex]96^{2}[/tex]

  = 28938.24

Please mark brainliest:)

Answer:

968

Step-by-step explanation:

just substitute r for 8 and solve!

(-4r) (-30) - (-8) when r = 8

-4(8)×(-30)+8

-32 × -30 +8

960 + 8

968

Answer:

60

Step-by-step explanation:

3x=3 multiplied by 2 which is 3x3=9

so, 9+(7x= 7x7=49) 49+3=61 rounded to 60

Answer:

the answer is acute equilateral

Answer:

16 : 36 : 15

Step-by-step explanation:

2/3 : 3/2 : 5/8

multiply each term by the lowest common denominator: 24

16 : 36 : 15

Answer:

Hello! answer: 4/5

Step-by-step explanation:

20 ÷ 5 = 4 25 ÷ 5 = 5 that is 4/5 therefore 4/5 is the answer because we cannot reduce any further HOPE THAT HELPS!

Answer:

         [tex]\frac{20}{25} =\frac{4}{5}[/tex]

Answer:

Mutually exclusive is a statistical term describing two or more events that cannot happen simultaneously. It is commonly used to describe a situation where the occurrence of one outcome supersedes the other.

Since in this question, we have selected one card from a deck, and is obtaining a 2 and a queen.

I think the answer for this would be No/False but if i'm wrong, tell me!

Answer:

5/8 Jar

Step-by-step explanation:

I took the test...

Answer:

(3,6)

Step-by-step explanation:

Using the midpoint segment formula

M(X, Y) = [(ax1+bx2/2, ay1+by2/2)]

Given (-2 -6) and (4,6) divided in the ratio 1:5

X = 1(-2) + 5(4)/1+5

X = -2+20/6

X = 18/6

X = 3

Similarly

Y = 1(-6)+ 5(6)/1+5

Y = -6+30/6

Y = 24/6

Y = 4

Hence the required coordinate of C is (3,6)

Answer:

principal=1600

rate=5%

amount=1920

time=x

interest=p*t*r/100

=1600*x*5/100

=8000x/100

80x

amount=principal +interest

1920=1600+80x

1920-1600=80x

320/80=x

4=x

therefore after 5 years 1600 amount to 1920 at the rate of 5%

Step-by-step explanation: