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aliina [53]
3 years ago
11

Sides that match up between two similar figures are called corresponding sides.

Mathematics
1 answer:
Naily [24]3 years ago
5 0

Answer:

A. Height of the Flag pole  

B. Longest.

Explanation:

Two similar triangles have corresponding sides with the same ratio.

A smaller triangle is showing the shadow of a person and the larger one is showing the shadow of a flag.

Now the person's shadow in the smaller triangle corresponding to the Height of the Flag pole.

The longest side of the large triangle corresponds with the Longest side of the smaller triangle.

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1. Make sure your answers and work is SHOWN please and steps are in order.
JulijaS [17]

Been a while since I've done synthetic division.

1a. Let's assume that's supposed to be an equals sign

p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6

possible rational roots have factors of 6 in the numerator and of 2 in the denominator.  We'll only worry about negative numerators.

Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6

Factors of 2: 1,2

Possible rational roots:

(dividing by 1:) 1,-1,2,-2,3,-3,6,-6

(dividing by 2:) 1/2, -1/2  (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2

Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2

Synthetic division, trying x=1,

   1 | 2  -3  -6  5  6

             2  -1  -7  -2

       2    -1  -7  -2  4

Got a remainder of 4, so 1 isn't a root;

Trying x=-1  

-1 | 2  -3  -6  5  6

         -2   5  1  -6

     2  -5  -1  6  0

Zero remainder, found a root, x=-1.  This division says

(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6

Same set of rational roots on the cubic, we continue with x=2

2 | 2 -5 -1 6

         4 -2 -6

    2  -1 -3 0

Another zero remainder, x=2 is a root.  We're left with 2x² - x - 3 = 0, which factors as

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

That's a second factor of x+1.  Our final factorization is

2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)

Fourth degree with a positive leading coefficient so goes to +infinity at both ends.  Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.  

I'll leave the actually sketching and the other two polynomials to you -- that took some time.

4 0
3 years ago
Betty wants to bake the perfect cookie. She wants to determine the ideal temperature at which to bake the cookies. She has enoug
borishaifa [10]

The true option about the randomized design is (c) Betty should prepare all 60 cookies.

Each cookie will receive a number.

The numbers will be written on slips of paper, put into a hat, and shuffled well.

The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated.

The given parameters are:

n=60

batches=4

cookies=15 ---- the number of cookies in each batch

Temperature=300,325,350,375.

To randomly assign the cookies to the given temperatures, all cookies have to be subjected to the same conditions (except for the difference in the temperature).

<h3>What is the temperature?</h3>

Normal human body temperature is the typical temperature range found in humans. The normal human body temperature range is typically stated as 36.5–37 °C. Human body temperature varies.

This means that she can bake all the cookies at once at different temperatures while noting down the cookies with a given number.

Hence, the true option is (c)

Read more about randomization at:

brainly.com/question/20046524

#SPJ1

6 0
2 years ago
Find the circumference of the circle. Use π=3.14
borishaifa [10]

There is no picture or diameter/radius measurements, therefore this question cannot be answered properly.

5 0
3 years ago
4+4x+x^2 = y Given x = 3
stira [4]

Answer:

y=25

Step-by-step explanation:

y=4+4x+x^2

x=3

y=4+4(3)+(3)^2

y=4+12+(3)^2

y=4+12+(3x3)

y=4+12+(9)

y=16+9

y=25

If this helps please mark as brainliest

4 0
3 years ago
If five less than y is six more than x + 1, then by how <br><br>much is x less than y?<br> ​
Pie

Answer:

12 more

Step-by-step explanation:

y-5= 6+ (x+1)

5+6+1=12

6 0
3 years ago
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