The purple shape is a dilation of the black shape. What is the scale factor of the dilation?

Final answer:

If the brackets in the expression “[-1.1]” are interpreted as the floor function, the value is “-2”, because the floor function always rounds a number down to the closest lesser whole number.

Explanation:

The question appears to be asking for the value of the mathematical expression “[-1.1]”. However, the notation is a bit unclear. If the brackets denote the floor function, which rounds a number down to the nearest whole number, then the value of “[-1.1]” is indeed “-2” because -1.1 is rounded down to -2.

The floor function basically chops off all decimal points and moves a number to the next lower integer if it's not already an integer. Hence, the correct answer based on the interpretation of the floor function is “-2”.

Answer: I think its 5/9

Step-by-step explanation:

Answer:

it is a 32-gon

Step-by-step explanation:

Answer: < DCQ ≅ <DCE.

Step-by-step explanation: We are given a composite figure of two triangles CDE and CDQ.

In the shown composite figure we can see:

<CDQ ≅ < CDE   : Given

CD are common sides of both triangles

Therefore, by reflexive property

CD = CD

We need to apply ASA congruence criteria.

That is Angle Side Angle congruence criteria.

We already got One angle is congruent and one side on both triangles.

We just need one-one more angles in both triangles those would be congruent.

Therefore,

Answer:

Step-by-step explanation:

Answer:

3g+5.5c=29

g+c=8

There are 14 dogs and 46 chickens on your uncle's farm.

To solve this problem, we can set up a system of equations. Let x be the number of dogs and y be the number of chickens on your uncle's farm.

The number of legs equation can be written as: 4x + 2y = 148 (since dogs have 4 legs and chickens have 2 legs).

The number of heads equation can be written as: x + y = 60 (since both dogs and chickens have 1 head).

We can solve this system of equations by substitution or elimination. Let's use elimination:

Multiplying the second equation by 2, we get 2x + 2y = 120.

Subtracting the new equation from the first equation, we can eliminate the 2y term: (4x + 2y) - (2x + 2y) = 148 - 120. Simplifying, we have 2x = 28.

Dividing both sides of the equation by 2, we find that x = 14. Substituting this value back into the second equation, we find that 14 + y = 60. Solving for y, we get y = 46.

Therefore, there are 14 dogs and 46 chickens on your uncle's farm.

Answer:

Sin(F)=4/5

Cos(F)=3/5

Tan(D)=3/4

Step-by-step explanation:

Answer:

C. 1.1 seconds

Step-by-step explanation:

The formula to use is :

[tex]h=ut+\frac{1}{2}at^{2}[/tex]

Where: h is the height of 20 ft, u is the velocity of 2ft/s and a is the gravitational acceleration of 9.8m/s². The acceleration should be converted to ft/sec² to simplify calculations. The value is then 32.15ft/sec².

Substituting these values into the equation:

[tex]20=2t+0.5*32.15t^{2} \\20=2t+16.075t^{2} \\0=16.075t^{2}+2t-20[/tex]

Using the quadratic formula, t can be solved.

a = 16.075, b = 2, c = -20:

[tex]t=\frac{-b+-\sqrt{b^{2}-4ac} }{2a} \\t=\frac{-2+-\sqrt{2^{2}-4(16.075)(-20)} }{2(16.075)}\\t=\frac{-2+-35.92}{32.15}\\t=1.055 \\OR\\t=-1.179[/tex]

The answer cannot be negative, therefore the answer is t = 1.055 ≈ 1.1seconds

Answer:

8 is the answer you are looking for

Step-by-step explanation: not needed

Answer:

5.8

Step-by-step explanation:

Daniel can earn $7510 interest he get after 15 years of investment.

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Here, principal = $80,000

         Time = 15 years

         Rate of Interest = 0.6% compounded annually

We know that,

       [tex]A = P(1+i)^n[/tex]

      [tex]A = 80000(1 + 0.006)^{15}[/tex]

      [tex]A = 80000 X 1.006^{15}[/tex]

      A = 80000 X 1.094

      A = 87,510.41

Interest = Amount - Principal

             = 87510 - 80000

             = $ 7,510

Thus, Daniel can earn $7510 interest he get after 15 years of investment.

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A parabola is the locus of points equidistant from the focus and directrix. This means the distance from the green point is the same to the focus as it is to the directrix. The appropriate choice is ...

... B. 7

Hi there!

I believe your answer would be B. 7. I say this because the focus is the same distance away from the green point as the directrix is away from the point.

Hope this helps!

- Chris

Answer:

Option 2. 25 pounds

Step-by-step explanation:

As per graph weight gain of Bryan's puppy is represented by a linear function which is a straight line.

Therefore equation of the line will be y = mx + c

to calculate the value of m we will take two points (endpoints) on the line (0, 0) and (50, 6)

So m = (50-0)/(6-0) = 50/6 = 8.33

since this passes through (0, 0) so c = 0

Equation will be y = 8.33x

Now we have to get the value of y (weigh of puppy) at x = 3.

y = 8.33×3 = 24.99 ≈ 25 lb.

Option 2 is the answer.

The coefficient of the x-term in the trinomial is C. The sum of -p and -q, which is -p - q. therefore ,option C. The sum of -p and -q, which is -p - q is correct.

When the factors of a trinomial are (x - p) and (x - q), you can find the coefficient of the x-term in the trinomial by multiplying these factors together and paying attention to the x-term.

The product of (x - p) and (x - q) is:

(x - p)(x - q) = x^2 - qx - px + pq

Now, notice that the coefficient of the x-term is the sum of the terms that contain 'x,' which are -qx and -px:

Coefficient of the x-term = -qx - px

This can be factored as:

Coefficient of the x-term = x*(-q - p)

So, the coefficient of the x-term in the trinomial is:

C. The sum of -p and -q, which is -p - q

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