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VMariaS [17]
3 years ago
7

Dianne drew a triangle in math class.

Mathematics
1 answer:
likoan [24]3 years ago
4 0
I think its a=6;b=4;c=2
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Please answer question
sweet-ann [11.9K]

Given;

ABCDE is similar to VWXYZ

so, the corresponding segments are proportional

We need to find the length of XY

XY is corresponding to CD

CD = 1.2 cm

Finding another two corresponding sides

DE = 3.2 cm , YZ = 4 cm

so,

\begin{gathered} \frac{XY}{CD}=\frac{YZ}{DE} \\  \\ \frac{XY}{1.2}=\frac{4}{3.2} \\  \\ XY=\frac{4}{3.2}\cdot1.2=1.5\operatorname{cm} \end{gathered}

So, the length of XY = 1.5 cm

3 0
2 years ago
Which of the following is a solution of z^5 = 1 + √3 i?
nordsb [41]

Answer:

Option 2 is right

Step-by-step explanation:

Given that

z^5=1+\sqrt{3} i

We can write this in polar form with modulus and radius

|z^5|= \sqrt{1+3} =2\\tan of Angle t =\sqrt{3} \\

Hence angle = 60 degrees and

|z^5|= 2(cos60+isin60)

Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360

Using Demoivre theorem we get 5th root would be

5th root of 2 multiplied by 1/5 th of 60, 420, 780,....

z= \sqrt[5]{2} (cos12+isin12)\\z=\sqrt[5]{2} (cos84+isin84)\\\\z=\sqrt[5]{2} (cos156+isin156)\\\\z=\sqrt[5]{2} (cos228+isin228)\\\\z=\sqrt[5]{2} (cos300+isin300)\\

Out of these only 2nd option suits our answer

Hence answer is Option 2.

8 0
3 years ago
A computer chip has the dimensions 8mm x 8mm but the scale is drawn with the ...
Yuliya22 [10]
Given that the chip has a dimension of 8 mm by 8 mm which can be written as 0.8 cm by 0.8 cm, is drawn to scale and the dimensions of the plot is 4 cm by 4 cm, the scale of the drawing will be:
0.8 cm is represented by 4 cm
thus;
4 cm rep 0.8 cm
1 cm rep 0.2 cm
The answer is:
1 cm rep 0.2 cm  
6 0
3 years ago
Factor the following: x2−16x+64
boyakko [2]

Answer:

why wont u just go to quizlet for the answer of look it up on calculator soup it is a great place for those kinds of answers

Step-by-step explanation:

3 0
3 years ago
An employee receives a 2% raise once per year. If the employee's initial salary is $60,000.00, what will
satela [25.4K]

Answer:

The employee's salary after 9 years will be$70800

Step-by-step explanation:

find the % raise of the salary per year:2%×$60000=$1200

Then multiply the raise by the number of years:$1200×9=$10800

finally add the product with the initial salary:$10800+$60000=$70800

8 0
2 years ago
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