Answer: 3
Step-by-step explanation:
1. 2²=4
2. 4*5=20
3. 180/20=9
4. √9=3
Hope this helped :)
Answer:
x = 3
Choice 2
Step-by-step explanation:
180 = 2^2 * x^2 * 5
180 = 20x^2
9 = x^2
x = 3
Checking:
180 = 2^2 * 8^2 * 5
180 = 4 * 9 * 5
180 = 36 * 5
180 = 180
Pls help need this for my finalWhat is the value of x in the isosceles trapezoid below?
A. 13
B. 26
2
A
C. 11
D. 22
Answer:
A) 13!
Step-by-step explanation:
Just answered the question!
Answer:
13
Step-by-step explanation:
Given w= √ 2(cos(pi/4)+isin(pi/4)) and z=2(cos (pi/2)+i sin (pi/2)) what is w-z expressed in polar form?
Answer:
It is B.
Step-by-step explanation:
Edge2021
[tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]
What is complex number?"The number of the form a + ib where a, b are real numbers and [tex]i=\sqrt{-1}[/tex] "
What is polar form of complex number?"The polar form of complex number z = x + iy is [tex]z=r~(cos\theta+i~sin\theta)[/tex] where [tex]r=\sqrt{x^{2} +y^{2} }[/tex] and [tex]\theta=tan^{-1}(\frac{y}{x} )[/tex]"
For given question,
We have been given two complex numbers in polar form.
[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} ))[/tex] and [tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))[/tex]
We simplify above complex numbers.
[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} )) \\\\w=\sqrt{2}(\frac{1}{\sqrt{2} } +i~ \frac{1}{\sqrt{2} } ) \\\\w=1+i[/tex]
And the second complex number is,
[tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))\\\\z=2(0+i~1)\\\\z=0+2i[/tex]
Now if we find the value of w - z
⇒ w - z = (1 + i) - (0 + 2i)
⇒ w - z = 1 - i
Now we find the polar form of complex number.
[tex]r=\sqrt{1^{2} +(-1)^{2} } \\\\r=\sqrt{2}[/tex]
And the value of [tex]\theta[/tex] would be,
[tex]\theta=tan^{-1}(\frac{-1}{1} )\\\\\theta=tan^{-1}(-1)\\\\\theta=\frac{3\pi}{4}[/tex]
So, w - z in the polar form would be [tex]1+i=\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]
Therefore, [tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]
Learn more about the complex numbers here:
https://brainly.com/question/17162901
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Josh worked 30 hours last week and earned $8.50 per hour. If $32.50 was withheld from his paycheck, what was Josh's net pay?
Answer:
$222.50
Step-by-step explanation:
Hours Josh worked last week = 30
Money earned per hour = $8.50
Money withheld = $32.50
Josh's net pay = (30 x 8.50) - 32.50
= 255 - 32.50
= $222.50
Pls mark as brainliest <3
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Given:
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).
To find:
The coordinates of point P.
Solution:
Section formula: If a point divide a line segment in m:n, then the coordinates of point are
[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get
[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]
[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]
[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]
[tex]P=\left(-1,4\right)[/tex]
Therefore, the coordinates of point P are (-1,4).
Please help me ...........................
Answer:
Carla's dog =15 pounds
Paula's dog= 45 pounds
60÷4=15,so Carla's dog weighs 15 pounds and Paula's dog weighs 45 pounds
Step-by-step explanation:
divide 60 by 4 and multiply your answer (15) by 3
Find the missing side:
Which is the right one
Answer:
D , drinking coffee
Step-by-step explanation:
hope this helps you somehow
£800 is invested for 3 years at 2% simple interest per year. work out the total interest.
show working out pls I will mark the brainest
Answer:
848.97
Step-by-step explanation:
[tex]800(1 \ + \frac{2}{100} ) {}^{3} [/tex]
= 848.9664
can someone please help me out its due very soon,
Answer:
yes it is ok
Step-by-step explanation:
40 ok equate
Estimate the quotient: 1628 ÷ 8
Answer:
203.5
Step-by-step explanation:
Please mark brainliest.
Answer:
Answer is: 203.5
Step-by-step explanation:
Hope this helped YOU! :)
What is the 6th term in the arithmetic sequence below?
-2,5, 12, 19, 26, -, ...
A. 33
B. 34
C. 7
D. 8
Natasha invests $600 in a different bank, she gets $60 after two years workout the interest rate that the bank pay
Answer:
hope this helps....... anyways try this
What is the slope of the line that is perpendicular to the line containing the points (5,-2) and (8,-3)?
Answer:
3
Step-by-step explanation:
m=y2-y1/x2-x1
-3+2/8-5
-1/3
perp. = negative reciprocal
3
confused :( please help!!!!
angles are confusing aaaaaa
Answer:
22
Step-by-step explanation:
Angles CBD and ABD are complementary, which means that they have a sum of 90 degrees. Since it tells you that angle ABC is 68 degrees, subtract that from 90.
90-68= 22
Answer:
29
Step-by-step explanation:
HELP PLEASE AND THANK YOU!!
what is measurement
Ans Measurement is the process of comparing and unknown physical quantity with a known or standard one.
Simplify. Rewrite the expression in the form 9^n.
{9^7}{9^5}
Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?
Step-by-step explanation:
A. Where do you see circles and semicircles in the world around you?
1. Ring.
2. Earing
3. Coin
4. Hockey puck
5. Car tyre
6. Dartboard
7. Wreath
8. Plate
9. Hula hoop
10. Mercedes logo
11. Bass drum
12. Drain
B. Why could finding the area or circumference be helpful?
Finding the area or circumference can help us estimate the size of these circular shape/figures, it can tell us the amount of space they can occupy or the amount of materials needed to produce them
solve:4^x-2+2*2^2x-1=1 whole 1/6
Answer:
64
Step-by-step explanation:
)3£56::?£
yerk
v hi is
)(5_-
find the slope of the line parallel to the coordinates -5, 1 and -1, 2
Answer:
m = 1/2 or 0.25
Step-by-step explanation:
Brainliest Please!!
Select all the ratios that are equivalent to 9: 6.
06:9
18:12
13:10
0 3:2
O 7:5
Answers:
18:12
3:2
Step-by-step explanation:
9:6 = 9 * 2 : 6 * 2 = 18:12
9:6 = 9/3 : 6/3 = 3:2
Hope this helps.
What is 27 times 30 to the power of 2?(“real” question)
Answer:
24300
Step-by-step explanation:
first find the square for 30 * 30
then multiply!
find the amount and the compound interest on rupees 12000 at 6% p.a. compounded half yearly for 3/2 years
Answer:
A= ₹3,112.72
CI = ₹1,112.72
Step-by-step explanation:
Here P = ₹ 12000
Since, interest is compounded half yearly.
Therefore, R = 6/2 = 3%
n = 3/2* 2 = 3 half years
[tex] \because A= P\bigg(1+\frac{R}{100}\bigg)^n [/tex]
[tex] \therefore A= 12000\times \bigg(1+\frac{3}{100}\bigg)^3 [/tex]
[tex] \therefore A= 12000\times \bigg(\frac{100+3}{100}\bigg)^3 [/tex]
[tex] \therefore A= 12000\times \bigg(\frac{103}{100}\bigg)^3 [/tex]
[tex] \therefore A= 12000\times \bigg(1.03\bigg)^3 [/tex]
[tex] \therefore A= 12000\times 1.092727 [/tex]
[tex] \therefore A= 13,112.724 [/tex]
[tex] \therefore A=Rs. \:13,112.72 [/tex]
CI = A - P
CI = 13,112.72 - 12000
CI = ₹1,112.72
Frank went to the store and bought water, juice, and soda for everybody. Write an expression to show the total amount of beverages he bought. (Use w for water, j for juice, and s for soda.)
please help! id give you master brainlist.
Answer:
w + j + s = total amount of beverages
Step-by-step explanation:
37+99+-x-is it scaling or isosceles or equilateral
Answer:
scalene triangle
How many tables that seat eight are required to provide places for 62 people at a banquet
Answer:
8
Step-by-step explanation:
62 divided by 8 is 7.75
you can't cut people so round it up and you get 8
Write (2x10) + (9 x 1) + (7 x 0.10 ) + (8 x 0.001) in standard form.
Answer:
hi
Step-by-step explanation:
Solve for x: 10(x + 1) = 2x - 7
Answer:Simplifying
x = -2.125
Step-by-step explanation:Add '-10' to each side of the equation.
10 + -10 + 8x = -7 + -10
Combine like terms: 10 + -10 = 0
0 + 8x = -7 + -10
8x = -7 + -10
Combine like terms: -7 + -10 = -17
8x = -17
Divide each side by '8'.
x = -2.125
Simplifying
x = -2.125
What is the type slope?
Please help
Answer:
its positive
Step-by-step explanation:
because the line going upward
Answer:
positive
Step-by-step explanation:
The bottle is completely full at 11:40 a.m.
Which statements help explain this result? Check all that apply.
The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.
The bottle was 1/2 full at 11:35 a.m. and more bacteria were added to fill the bottle.
Exponential growth involves a constant multiplicative rate of change.
Exponential growth involves a constant additive rate of change.
Answer:
A,B,D
Step-by-step explanation:
Answer:
A,B,D
Step-by-step explanation:
HELP I WILL MARK BRAINLIESTTT!!!
Answer:
D
Step-by-step explanation:
I know this stuff