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IRISSAK [1]
2 years ago
14

Figure A is a scale image of Figure B

Mathematics
1 answer:
valina [46]2 years ago
5 0

Answer:

x = 30

Step-by-step explanation:

Put in proportions \frac{x}{45} = \frac{18}{27}

Cross multiply and get 27x = 45 x 18

OR...

27x = 810.

THEN...

divide by 27 on both sides to get 30

x = 30

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1. If a polynomial of Degree 4 has an imaginary zero at -2i and a real zero at 5, how many imaginary zeros does it have?
Vadim26 [7]

Answer:

Complex roots for polynomials equations will always come in conjugate pairs.  Since 1-2i is a root, 1+2i will also be a root.  (Just switch the sign of the imaginary part to its opposite.)

Step-by-step explanation:

So far we have 1-2i and 1+2i as roots.  We need two more to make a 4th degree polynomial.

x=1 with multiplicity of 2 means that we count the root twice when we write down the polynomial: (x - 1)(x - 1) = (x - 1)2

Putting it all together, we can construct our polynomial of degree 4 as

y = f(x) = (x - 1)(x - 1)[x - (1-2i)][x - (1+2i)]

Multiply the factors (FOIL):

[x - (1-2i)][x - (1+2i)] =

x2 - (1+2i)x - (1-2i)x + (1-2i)(1+2i) =

x2 - x - 2ix - x + 2ix + (1 + 2i - 2i + 4) =

x2 - 2x + 5

(x - 1)(x - 1) = x2 - x - x + 1 = x2 - 2x + 1

Now multiply the two underlined expressions:

y = (x2 - 2x + 5)(x2 - 2x + 1)

= x4 - 2x3 + 5x2 - 2x3 + 4x2 - 10x + x2 - 2x + 5  by multiplying term by term

= x4 - 4x3 + 10x2 -12x + 5 by collecting like terms.

4 0
3 years ago
mei practices calligraphy and is shopping for new pens and paper she has $38 worth of supplies in her cart she has a coupon for
Tanzania [10]

Answer:28.50

I’m doing a lesson for iready and I had the same question

7 0
3 years ago
Read 2 more answers
If 19.40 is paid per 200 brochures how much is paid for 600 brochures sold
arlik [135]

Answer:

$58.20

Step-by-step explanation:

600 /200 = 3

3 * 19.40 = 58.20

5 0
3 years ago
Can someone please help
sveta [45]
Some of the problems are in scientific notation, which if you don't know how to do, I will try to explain, when you see for example 1 x 10^3, what it is saying is basically 1 x 10 x 10 x 10 so in that case 1,000, simple trick is to look at what ever number is in the top right, then add that many zeroes. So this is most likely supposed to be a division problem. if you need more help message me.
7 0
3 years ago
What is the approximate value of b, rounded to the nearest tenth? Use the law of sines to find the answer.
vivado [14]

You can use the Law of Sines for this problem, but what makes it tough at first glance is that they put a step in before you can use it directly. That first step is to get m∠C. When solving a triangle, always get the third angle if you know the other two so that you can use the Law of Sines (or Law of Cosines) more directly.


The sum of the angles of any triangles is 180°. We know the measures of the two other angles. So we subtract them from 180° to find that third angle.


180° - 76° - 66° = 38°


Now we can use the proportion from the picture. Angle B measures 76°, side b is our unknown, Angle C measures 38°, and side c measures 3 units.


sin 76° sin 38°

----------- = -----------

b 3


Cross multiply to find b (the side). We carry out five places in these calculations to get more accuracy.


3 * sin 76° = b * sin 38°


b = 3 * sin 76° 3 * 0.56611 1.69832

--------------- = --------------- = ---------------- = 5.73044

sin 38° 0.29636 0.29636


To the nearest tenth, b - 5.7 units.

3 0
3 years ago
Read 2 more answers
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