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larisa [96]
2 years ago
6

How do you do this? ​

Mathematics
1 answer:
ad-work [718]2 years ago
8 0

a) The ratio of the perimeters is the same as the scale factor, so the ratio is the perimeters is 2/3.

b) The perimeter of triangle ABC is 36\left(\frac{3}{2} \right)=\boxed{54 \text{ ft}}

c) The ratio of the areas is the scale of the scale factor. In this case, the ratio is (2/3)^{2}=\boxed{4/9}

d) The area of FDE is 36(4/9)=\boxed{16 \text{ ft}^{2}}

You might be interested in
Part 1
svetlana [45]

Answer:

A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.

B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.

Step-by-step explanation:

f(x) = 12x^2 + 5x - 2.

Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).

To find the roots of f(x), set f(x) = 0. Therefore:

12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:

12x^2 + 8x - 3x - 2 = 0.

4x(3x + 2) -1(3x+2) = 0.

(4x-1)(3x+2) = 0.

4x-1 = 0 or 3x+2 = 0.

x = 1/4 or x = -2/3.

It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!

8 0
3 years ago
Robert is entering a contest at a local radio
lbvjy [14]

Answer:

Robert has a 59% chance of winning.

Step-by-step explanation:

I had this question on a test once, and I got it right.

Plz can I have brainliest plzzzzz

5 0
3 years ago
Explain how to translate the phrase into an algebraic expression.
ASHA 777 [7]
Hey there.. I will be more than happy to help you today..  :)

A Number squared decreased by ten

We will do this with steps:-

Step 1 - "A number ". So, Let's say any number be x

Step 2 -  "A number squared". Our number x is squared i.e. x²

Step 3 - "A number squared" ( i.e. x²  ) is decreased by ten
x² - 10 

This is your answer.
Hope this helps you :)
4 0
3 years ago
Read 2 more answers
How many ratios are equivalent to 3 : 8 ?
Vanyuwa [196]

Answer:

6 : 16, 12 : 32 and 18 : 48.

Step-by-step explanation:

Therefore, the three equivalent ratios of 3 : 8 are 6 : 16, 12 : 32 and 18 : 48.

5 0
3 years ago
The population of algae in an
mezya [45]

The equation is y = 20(1.40)^x

where x is the number of days and y is the future amount after x days go by

The 1.40 is from the fact that 1+r = 1+0.40 = 1.40, where r is the decimal form of 40%, so r = 0.40

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

Plug in x = 7 to get

y = 20(1.40)^x

y = 20(1.40)^7

y = 210.827008

y = 211

We round to the nearest whole number since it doesn't make much sense to have a fractional portion of an algae. After 7 days, there are about <u>211</u> algae.

5 0
3 years ago
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