5. Write in Polar form the following complex numbers
(a) 4+6j
Answer:
https://www.wolframalpha.com/widgets/view.jsp?id=ecc4c3ee7c6b1f12d078f6541a983c2d
use that it will give you a step by step answer.
Two sides of a parallelogram are 8.5 feet and 3.8 feet. The measure of the angle
between these sides is 107º. Find the area of the parallelogram to the nearest 10th of
a square foot.
Answer: 30.9
Step-by-step explanation:
Delta math
The area of parallelogram is 30.9 ft²
Step-by-step explanation:Definition of parallelogram and its areaThe area of a parallelogram is defined as the region or space covered by a parallelogram in a two-dimensional plane. A parallelogram is a special kind of quadrilateral. If a quadrilateral has two pairs of parallel opposite sides, then it is called a parallelogram.
Let the sides of a parallelogram a, b and height h.
Now the area of parallelogram= a*h
given data are
angle between two sides =107°
and sides are a=8.5 feet and b=3.8 feet
The height of the parallelogram [tex]h= bsin\alpha[/tex]
now height [tex]h= 3.8*sin107\\h=3.634 feet[/tex]
Now the area of parallelogram = 8.5*3.634
Now the area of parallelogram=30.9 ft²
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type to justify why the two larger triangles are congruent
Answer:
HL
Step-by-step explanation:
We are dealing with triangle DAB and CBA.
Angles DAB and CBA are right angles making the triangles right triangles.
Side AB is congruent to side BA. That is a leg of each of the two triangles.
Side DB is congruent to side CA. Tat is a leg of each triangle.
The triangles are congruent by HL.
(1,4) (2,7) (3,10) (4,13) find the equation in slope-intercept form.
Answer:
y = 3x + 1
Step-by-step explanation:
The way you find slope is change in y over change in x, (as a fraction).
So then your equation is y = 3x because the y value goes up 3 times and the x goes up once (3/1), and then you see what value y has when x = 0 to find the b value, which is one.
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot? Assume y not-equals 0.
" StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot "is
(X^7/2)(y^-3/5) which is expressed as Option A (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)
This is further explained below.
What is an expression?Generally, An expression, often known as a mathematical expression, is a finite collection of symbols that is well-formed according to principles that are dependent on the context in which the expression is being used.
In conclusion, The expression equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot is
(X^7/2)(y^-3/5) hence (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) Option A.
Read more about expression
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CQ
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot?
Assume y not-equals 0. (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) (x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline) (x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline) (x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline).
Answer:
A
Step-by-step explanation:
Which one A B C or D?
Answer:
Step-by-step explanation:
D
Answer:
D
Step-by-step explanation:
Find the measure of a 3.
ts
43
90°
<<
43 = [?]
The correct answer is 90
The fraction 5/8
produces a repeating decimal.
___
0.625
True or False
Answer:
False i just did it
Step-by-step explanation:
Angela eats ⅜ box of cereal every day. How many boxes does she eat in one week?
Answer:
2 5/8 boxes of cereal in one week
This circle is centered at the origin, and the length of its radius is 10. What is
the circle's equation?
Answer:
x^2 + y^2 = 100
Step-by-step explanation:
The equation of the circle that you are looking for is x^2 + y^2 = 100.
You can find this by using the base formula for a circle:
(x - x1)^2 + (y - y1)^2 = r^2
In which x1 is the x-coordinate of the origin, y1 is the y-coordinate of the origin, and r is the radius. So we put in the values we know and simplify.
(x -0)^2 + (y - 0)^2 = 10^2
x^2 + y^2 = 100
given the formula solve for x.
y - y1 = m(x-x1)
Answer:
[tex]y - y' = m(x - x') \\ (x - x') = \frac{(y - y')}{m} \\ x = \frac{(y - y')}{m} + x'[/tex]
Which is an expression in terms of pi that represents the area of the shaded part of OK.
Answer:
A) 5/6[tex]\pi[/tex]r²
Step-by-step explanation:
360-60=300
300/360=5/6
A map has the following scale: ½ inch = 5 miles. Mary measured 2 ¾ inches between two towns on a map. What is the actual distance between the two towns?
Answer: 27.5 miles
Step-by-step explanation:
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Which two sports use the dribble skill pattern as part of the game?
Soccer and basketball
Soccer and football
Basketball and rugby
Basketball and tennis
Answer:
SOCCER AND BASKETBALL
mark me brainliest
Step-by-step explanation:
Answer:
soccer and baskball
Step-by-step explanation:
because in basketball you have to dribble the ball with your hands and in soccer you have to dribble the ball with your feet by going back and forth.
Activity 4:
roup
Evaluate 2x + 5 if:
1. X=5
2. X=4
3. X=-7
4. x = 0
5. x= 13
please anwer it
Answer:
1. 15
2. 13
3. -9
4. 5
5. 31
just put the values in the given equation.
:)
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
Which of the following integers is square root of 30 closest to?
a. 15
b. 4
c. 7
d. 6
Answer:
6
Step-by-step explanation:
Select all numbers that are irrational.
Answer:
√2 and π are irrational numbers
Step-by-step explanation:
Answer all of the questions below in order to determine the volume of the rectangular prism. 10 3 5 Press the play button: play You must answer all questions above in order to submit. attenpt 1 out of a
I need help with this please. 20 points
please help someone
Answer:
10, 50, 150
Step-by-step explanation:
i just did it lol.
If 1 litre of Sunflower Oil costs Rs. 160. Find the total cost of 71 litres of
Sunflower Oil?
A) Rs. 1410.00
B) Rs. 1140.00
CRs. 1101
Rs.
Answer:
11360
Step-by-step explanation:
1:160::71:x
160 * 71 = x
x = 11360 rupees
The first one is brainlyist
Answer:
Step-by-step explanation:
What's the value of the expression below:
5 3/4 - 1/8
A. 4 1/8
B. 5 0/12
C. 5 1/8
D. 5 3/8
Answer:
The answer is 5 5/8.
The correct answer is not in the options
Answer:
[tex]5\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]5\frac{3}{4} = 5\frac{6}{8} -\frac{1}{8} =5\frac{5}{8}[/tex]
Mark me as brainliest!!
What is an angle?
A. part of a line that has two endpoints
ОО
B. part of a line that has one endpoint
C. two rays that have the same endpoint
O O
D. two rays that have the same length
Answer:
A .part of a line that has two end points
Find the volumes of the solids whose bases are bounded by the circle x^2 + y^2 = 9, with the indicated cross sections taken perpendicular to the x-axis.
a) Squares
x ^2 + y ^2 = 9 => y = y(x) = ± √(9 - x ^2)
Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by y(x), which is
√(9 - x ^2) - (- √(9 - x ^2)) = 2 √(9 - x ^2)
The area of each square section is the square of this length,
(2 √(9 - x ^2)) = 4 (9 - x ^2) = 36 - 4x ^2
We get the whole solid for -3 ≤ x ≤ 3, so integrating gives a volume of
[tex]\displaystyle\int_{-3}^3(36-4x^2)\,\mathrm dx=\boxed{144}[/tex]
Determine the value of x
ASAP! Help!
Answer:
Step-by-step explanation:
B
90/20=4.5
What is the value of the expression below?
−20÷5
Find the value of x.
Frank has $32.58 he wants to give to his three grandchildren. If he divides the $32.58 evenly between the three, how much money does each grandchild receive? Show your work.
Answer:
$10.86
Step-by-step explanation:
Divide 32.58 by 3
32.58/3 = 10.86
Three factories produce light bulbs to supply the market. Factory A produces 40%, 20% of the tools are produced in factory B and 40% in factory C. 5% of the bulbs produced in factory A, 3% of the bulbs produced in factory B and 4% of the bulbs produced in factory C are defective.A bulb is selected at random in the market and found to be defective. What is the probability that this bulb was produced by factory A?
Answer:
0.4762 = 47.62% probability that this bulb was produced by factory A
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Bulb is defective.
Event B: Produced by factory A.
Probability of a bulb being defective.
5% of 40%(factory A)
3% of 20%(factory B)
4% of 40%(factory C). So
[tex]P(A) = 0.05*0.4 + 0.03*0.2 + 0.04*0.4 = 0.042[/tex]
Defective and from factory A:
5% of 40%. So
[tex]P(A \cap B) = 0.05*0.4 = 0.02[/tex]
What is the probability that this bulb was produced by factory A?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.042} = 0.4762[/tex]
0.4762 = 47.62% probability that this bulb was produced by factory A
Astronomers classified the planets into six sizes with five atmosphere types and four average temperature ranges. How many different planet types are there?
Which equation shows a correct trigonometric ratio for the
given figure?
Answer:
d [tex]\displaystyle sin∠A = \frac{8}{17}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
With the above information, you now should know what the answer is.
I am joyous to assist you at any time.