Instructions: Use the ratio of a 45-45-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Answer:

33 1/3%

Step-by-step explanation:

(672 - 600) / 4 = 72 / 4 = $18, which is 33 1/3%

Hope that helps! A Brainliest would be appreciated :)

Answer:

3%

Step-by-step explanation:

1) 672-600=72 = the simple interest

2) 72=600(4)r which equals 72=2400r

3) divide 72 by 2400 which get 0.03

4) 0.03 = 3%

Answer:

A figure is reflected in two intersecting lines that form an angle of 40°

Answer:

What should we do the question pls

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.

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:

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

Answer:

hi

Step-by-step explanation:

hiiii

Answer:

5 pizzas

Step-by-step explanation:

8people times 3slices = 24 slices needed

24slices/ 5 pizzas per box= 4.8   you cant buy 4.8 boxes of pizza, so you round it to 5 boxes.

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.

To learn more about the circumference visit:

https://brainly.com/question/4268218.

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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.

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:

$166.04

Step-by-step explanation:

take the price and add the percentage.

Answer:

166.05

Step-by-step explanation:

161.37x1.029

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:

3.294

Step-by-step explanation:

Answer:

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

Hope that this helps!

Answer:

58m^2

Step-by-step explanation:

2x9 = 18

8x5 = 40

18+40 = 58

Answer:

y = -4.3

Step-by-step explanation:

40 = -10(y + 0.3) {Step 1: Use the distributive property to multiply -10 by y + 0.3}

40 = -10y + -10(0.3)

40 = -10y - 3 {Step 2: Add 3 to both sides.}

40 + 3 = -10y

43 = -10y {Step 3: Divide both sides by -10}

43/-10 = y

-4.3 = y

y equals -4.3.

Answer:

y = -4.3

Step-by-step explanation:

40 = -10(y + 0.3)

40 = -10y - 3

-3. -3

43 = -10y

Divide 43 by -10

y equal 4.3

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]

You are cheating. I see this is a test.

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: 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.

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:

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: 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:

x=19.2

Step-by-step explanation:

sin(28)=9/x

x=9/sin(28)

x=19.2

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!

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:

The Answer is A) 0,0

Step-by-step explanation:

I got it right!