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Answer:

84sq. in

Step-by-step explanation:

Area of the rectangle  = length * width

Given

Length = 7in

Width = 12in

Area of the rectangle = 7in * 12in

Area of the rectangle = 84sq. in

Hence the area of the rectangle is 84sq. in

Answer: Herba has a greater balance and Nour has more debt.

Step-by-step explanation: Herba's account balance is a positive number and is clearly greater than Nour's account balance; therefore, Herba has a much greater balance. On the other hand, Nour's account balance is a negative number and is clearly less than Herba's; therefore, Hour is in more debt since he has to pay back the money that he borrowed.

You are cheating. I see this is a test.

Answer:

perimeter = 71.4 m

Step-by-step explanation:

using the Pythagorean theorem:

CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25

CD = √342.25 = 18.5

perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m

Answer:

the perimeter is 30ft

Step-by-step explanation:

a square + b square = c square

so first we find your missing side

this is how we solve for that:

a square + 12 squared = 13 squared

a squared + 144 = 169

now we do 169 - 144 = 25

now to find the missing side it is 25 square root which is 5

now that we have found the missing side lengths let's find the perimeter which is: 5 + 12 + 13 = 30 ft

I hope this helped!

Answer:

[tex] \huge \purple{ \boxed{ y = \frac{2}{3} }}[/tex]

Step-by-step explanation:

Since, the variables x and y are inversely proportional.

[tex] \therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}[/tex]

Answer:

k = -5

Step-by-step explanation:

Direct variation formula:

y = kx

Given:

x = 2

y = -10

Work:

y = kx

-10 = 2k

k = (-10)/2

k = -5

Step-by-step explanation:

Solution given:

By using Pythagoras law

h²=p²+b²

15²=x²+9²

x²=15²-9²

x=√144=12

x=12 is your answer

Answer

Step-by-step explanation:

hope it is helpful to you

Answer:

Yield on this bond = 4.5%

Step-by-step explanation:

Given:

Face value of bond = $10,000

Annual interest receives from bond = $450

Find:

Yield on this bond

Computation:

Yield on bond = [Annual interest / Face value]100

Yield on this bond = [Annual interest receives from bond / Face value of bond]100

Yield on this bond = [450 / 10,000]100

Yield on this bond = [0.045]100

Yield on this bond = 4.5%

Answer:

The Answer is A) 0,0

Step-by-step explanation:

I got it right!

Answer:

1

Step-by-step explanation:

To find this, you simply need input points.

The given equation is y=-2/3x +{}. You can plug in the given point, (0,1). This would make the equation 1 = -2/3·0 +{}. To solve this, you simplify the equation. You then get 1 = {}. Hence, The missing number is 1.

The number of yards fencing the homeowner need to surround the entire lot is 78.5 yards. Therefore, the option D is the correct answer.

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its centre. A meridian is any great circle passing through a point designated a pole.

Given that, a house is located at the center of a circular lot, exactly 25 yards from the edge of the lot.

Here, d = 25 yards

Radius = 25/2 = 12.5 yards

We know that, the circumference of a circle = 2πr

= 2×3.14×12.5

= 78.5 yards

Therefore, the option D is the correct answer.

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Answer:

Step-by-step explanation:

ahh  30° is the mystery angle . sooo

180-30 = 150  that angle BOA

then the other two angle are each 15°

so then BAX is 90-15=75°

:)

Answer:

hi

Step-by-step explanation:

hiiii

Answer:

B. 64

......there are nine nolumbers in every interval . ..

Answer:

64

Step-by-step explanation:

91-82=9

minus every number by 9

Answer:

[tex]a =\frac{\sqrt 2}{2}[/tex] m

[tex]b=\frac{\sqrt 2}{2}[/tex] m

Step-by-step explanation:

Given

The attached triangle

Required

Find a and b

To do this, we make use of the following trigonometry ratio

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(45) = \frac{a}{c}[/tex]

[tex]\sin(45) = \frac{b}{c}[/tex]

Where

[tex]c = 1[/tex]

So, we have:

[tex]\sin(45) = \frac{a}{1}[/tex]

[tex]\sin(45) = a[/tex]

Rewrite as:

[tex]a =\sin(45)[/tex]

In radical form:

[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]

So:

[tex]a =\frac{\sqrt 2}{2}[/tex]

Similarly:

[tex]\sin(45) = \frac{b}{c}[/tex]

[tex]\sin(45) = \frac{b}{1}[/tex]

[tex]\sin(45) = b[/tex]

Rewrite as:

[tex]b = \sin(45)[/tex]

In radical form:

[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]

So:

[tex]b=\frac{\sqrt 2}{2}[/tex]

Answer:

The answer is x=0

Step-by-step explanation:

2(0-3)+9=3(0+1)+(0)

2(-3)+9=3(1)+0

-6+9=3

3=3

Yes

Answer: 2/1x

Step-by-step explanation:

you follow the graph from the y intercept to the next point

up 2 over 1

Answer:

2/1 or 2

Step-by-step explanation:

from point (0,2) to (1,4) it goes up 2 and to the left 1 so the rise is 2 and the run is 1

Answer:

3.294

Step-by-step explanation:

Answer:

$166.04

Step-by-step explanation:

take the price and add the percentage.

Answer:

166.05

Step-by-step explanation:

161.37x1.029

Answer:

What should we do the question pls

Answer:

$248.75

Step-by-step explanation:

25% more of 199 is 248.75

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

Answer:

[tex]\frac{72}{74}[/tex] or [tex]\frac{36}{37}[/tex]

Hope that this helps!

Answer:

72m^2

Step-by-step explanation:

first split the figure into 2 parts, the square and the triangle. The area of the sqaure is base times height or 6m times 10m which gives you 60m^2. For the triangle area you multiply base times height and divide it by 2, the base is 6m and the height is 4m so it will be 4x6 divided by 2 which gives you 12m^2. Lastly you add them both up, 60m^2 +12m^2 and you get 72m^2.

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

Probability deals with finding out the likelihood of the occurrence of an event.

It measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events.

The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.

Given

Set of integers = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

The probability of selecting a number that is divisible by 7 :

We all know the 7 multiples less than 20 : 7, 14

There are 2 numbers that are divisible by 7 in the set of integers 1 - 20

Therefore, Number of favorable outcomes n(E) = 2

Total number favorable outcomes n(S) = 20

Probability is the ratio of number of favorable outcomes to total number of favorable outcomes.

[tex]P(E) = \frac{n(E)}{n(S)}[/tex]

[tex]P(E) = \frac{2}{20} =\frac{1}{10}[/tex]

Hence,

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

Find out more information about probability here

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