2. Are the triangles shown below similar
not? How do you know? (Explain your reasoning)

Using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5

Area of rectangle = length × width.

Distance Formula is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].

Thus:

Length of rectangle = distance between (0, 0) and (5, 5)

[tex]d = \sqrt{(5 - 0)^2 + (5 - 0)^2}\\\\d = \sqrt{50}[/tex]

Width of rectangle = distance between (5, 5) and (6, 2)

[tex]d = \sqrt{(2 - 5)^2 + (6 - 5)^2}\\\\d = \sqrt{10}[/tex]

Area of rectangle = √50 × √10

= √500

Area = 10√5

Therefore, using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5

Learn more about area of rectangle on:

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Answer:

[tex]y=2.5*10^9(0.005^{12 0}) \\\\[/tex]

Step-by-step explanation:

The above question is in the form of an exponential decay. The equation for an exponential decay is given by:

[tex]y=ab^x[/tex]

where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).

Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:

[tex]y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\[/tex]

Answer:

x-y+16

Step-by-step explanation:

add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)

Answer:

55 seconds

Step-by-step explanation:

Okay so, 1/12 of a minute would be 5 seconds. 10/12 would be 50 seconds. You go up 5 continuously.

Answer:

256x +2.500=17860

Step-by-step explanation:

So she has to pay 256 per month which means every month.So that is our reapeted fee.Because it is reapeting every month.2.500 is the fee that you have to give for down time payement but only once .So that is our One Time Fee.And 17860 is our total.Always remember that the vairable goes with the reapted fee.and our equation is reapted fee times vairaible addes to one time fee is equal to total.

9514 1404 393

Answer:

  [tex]\dfrac{12}{7}[/tex]

Step-by-step explanation:

The first pipe fills 1/4 of the tank in 1 hour. The second pipe fills 1/3 of the tank in 1 hour. So, in 1 hour, the amount of the tank that is filled is ...

  [tex]\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{7}{12}\quad\text{of the tank in 1 hour}[/tex]

This number is the fill rate in tanks per hour. We want the reciprocal of that, the fill time in hours per tank. The reciprocal of 7/12 is 12/7.

It will take 12/7 hours to fill the tank.

_____

Comment on the answer

It looks like you may be asked to fill two "green boxes" to provide the complete answer. The box shown as green in this question is the numerator of the fraction, so should be filled with 12. (We expect that the denominator entry will be made available as soon as you enter the numerator. Your experience with this web site will tell you if that is true.)

Answer:

a. Interest = $300

b. Payment to principal = $86.40

c. New balance = $‭59,913.6‬0

Step-by-step explanation:

The monthly payment has both an interest component and a principal repayment component.

The interest component is based on the total principal still due at the time and the principal repayment component will be the rest of the payment.

As the interest is listed in annual terms, it needs to be made a monthly rate:

= 6%/12 months

= 0.5%

Interest = 60,000 * 0.5%

= $300

Payment to principal = 386.40 - 300

= $86.40

New balance = Amount due - payment to principal

= 60,000 - 86.40

= $‭59,913.6‬0

Answer:

the answer is 1 and 1 fourth

Answer:

3 toothpaste

Step-by-step explanation:

Tube of toothpaste : year

1/2 : 1/3

how much toothpaste would he use in one year

Tube of toothpaste : year

x : 1

Seductions

1/2 : 1/3 = x : 1

1/2 ÷ 1/3 = x / 1

1/2 × 3/1 = x/2

3/2 = x/2

x = 3/2 ÷ 1/2

= 3/2 × 2/1

= 6/2

x = 3 toothpaste

Answer:

its 1  1/2

Step-by-step explanation:

Find Warren's rate in tubes of toothpaste per year. Divide  

1

2

of a tube of toothpaste by  

1

3

of a year.

To divide by  

1

3

, multiply by its reciprocal, 3.

1

2

÷

1

3

=  

1

2

3

=  

13

2

Simplify.

13

2

=  

3

2

= 1

1

2

Warren used the toothpaste at a rate of 1

1

2

tubes per year. So, he would use 1

1

2

tubes in 1 year.

Answer:

1,500

Step-by-step explanation:

Answer:

13.50200 or 13

Step-by-step explanation:

you use c = 3.14 (which is pie) x d to get the full sphere, hopefully this is correct

Answer:

s=6.2

Step-by-step explanation:

-3.1s=-19.22

divide -19.22 by -3.1 to get s

s=6.2

Answer:

Area of the Rectangle is (length×breadth)

[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]

Third option is the right answer.

The value of z = 0.2

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

"The sum of the probabilities of all outcomes must equal 1."

For given situation,

An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.

The probability of customers choosing Vanilla flavor = 0.45

The probability of customers choosing Chocolate flavor = 0.35

We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.

The sum of the probabilities of all outcomes must equal 1.

From given tree diagram,

⇒ 0.45 + 0.35 + z = 1

⇒ 0.8 + z = 1

⇒ z = 1 - 0.8

⇒ z = 0.2

Therefore, the correct answer is option (A)

Learn more about probability here:
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Answer:

The answer is t=4 s

Step-by-step explanation:

Answer: T=4s

Step-by-step explanation: it is option 2

Answer:

73°

Step-by-step explanation:

Angles on a straight line add up to 180°

angle ABC= 180-146= 34°

Angles in a traingle add up to 180°

180-34= 146°

y= 146÷2= 73°

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Answer:

Option D (73°)

Step-by-step explanation:

According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.

So, according to the question -

[tex]y + y = 146[/tex]

[tex] = > 2y = 146[/tex]

[tex] = > y = \frac{146}{2} = 73[/tex]

Answer:

-5/2, -2, 1.7

Step-by-step explanation:

Answer:

y = [tex]-\frac{5}{3}[/tex] x + 5

Step-by-step explanation:

Solve an equation for a variable mean to leave that variable on one side of that equation by itself.

5x + 3y = 15

5x + 3y - 5x = 15 - 5x

3y = - 5x + 15

[tex]\frac{3y}{3}[/tex] = [tex]\frac{-5x}{3}[/tex] + [tex]\frac{15}{3}[/tex]

y = [tex]-\frac{5}{3}[/tex] x + 5

Answer:

Where is the graph?

Step-by-step explanation: How does anyone answer without a graph lol

There are 9 other CD's of a different genre.

Answer:

the answer would be 5 hours

Step-by-step explanation:

we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.

3000/600 = 5

another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.

30/6 = 5

and ta da the question is sloved!!!

Answer:

Step-by-step explanation:

x^2-(2+2)x+4=0

or, x^2-2x-2x+4=0

or, x(x-2)-2(x-2)=0

or, (x-2)(x-2)=0

Now,

Either, x-2=0

=2

Or, x-2=0

=2

Answer:

[tex]x=80^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to [tex]180^{\circ}[/tex], we set up the following equation:

[tex]x+50+50=180[/tex].

Solving, we get:

[tex]x+100=80,\\x=\fbox{$80^{\circ}$}[/tex].

Solution 2:

The Law of Sines states:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex], for any triangle.

We can use this to set up a proportion with the information given:

[tex]\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}[/tex].

Solving, we get:

[tex]x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}[/tex].

Answer: $2.11

Step-by-step explanation:

A customer brings a bag of chips with a regular price of $2.19 to the register which is marked down 10% the price to pay will be:

= $2.19 - (10% × $2.19)

= $2.19 - $0.219

= $1.971

After a 7% sales tax on the final price, the amount paid by the customer will be:

= $1.971 + (7% × $1.971)

= $1.971 + $0.13797

= $2.11

Answer:

108

Step-by-step explanation:

150x0.72=108

Step-by-step explanation:

72% of 150

=> (72/100)×150

=> 10800/100 [ Because, 72×150=10800 ]

=> 108

Thus, 72% of 150 is 108.

Hope this helps you.

Answer:

point form: (-2,7)

equation form: X = -2, Y = 7