Answer:
please check explanations
Step-by-step explanation:
As we all know, i is same as root of -1
let us expand what we have;
(1 + i)^2
= 1(1 + i) + i(1 + i)
= 1 + i + i + i^2
as i is square root of -1, the square of the square root of -1 is -1
Thus, we have
1 + 2i - 1
= 2i
If a field's length is 75m and breadth is 50m then what is the area?
Answer:
3750m^2 is it's area hope it helps
Answer:
3750m²
Step-by-step explanation:
75x50=3750
In 42 minutes, Mr. Goo can run 6 miles. How long does it take him to run 1 mile?
Answer:
7 min
Step-by-step explanation:
Answer:
7 Minutes
Step-by-step explanation:
If you divide 42 by 6, you get 7.
what is the nearest degree ?
Answer:
maybe 65 degrees
sorry if its wrong
Answer:
45 degrees
Step-by-step explanation:
All three angles equal 180
Its a right triangle, C=90
Two angle, 90 degrees left, and they're equivalent so divide by 2
B=45, A=45
what is sum 5x7 equal up
Here is a right-angled triangle.
Diagram NOT
accurately drawn
6.5 cm
B
6.3 cm
AC = 6.5 cm.
BC = 6.3 cm.
Angle ABC = 90°
Calculate the length of AB.
(3 marks)
It is given that, ABC BC =6.5cm CA=6.3cm AB=4.8cm Steps involved in construction Step 1: First draw a line segment AB = 4.8cm using pencil and ruler And mark one end A and other end B Step 2: From the point A draw an cm Step 3: From the point B draw an arc of length 6.5 cm Step point of intersection of these arc as C. Step 5: Join A and C & B and C. Now the triangle ABC is ready with BC =6.5cm CA=6.3cm AB=4.8cm
A cylinder has a radius of 20 meters. It’s volume is 13,816 cubic meters. What is the height of the cylinder
Answer:
H ≈ 10.994424 m ≈ 11 mStep-by-step explanation:
[tex]V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m[/tex]
I have $1000 invested in a coin worth $43000. If the coin reaches $100000 how much will I have invested?
Answer:
$2326
Step-by-step explanation:
I have $1000 invested in a coin worth $43000. If the coin reaches $100000 how much will I have invested?
To solve the above question, we have:
$43,000 = $1000
$100,000 = x
Cross Multiply
43000 × x = 100,000 × 1000
x = 100000 × 1000/43000
x = $2325.5813953
Approximately = $2326
Therefore, If the coin reaches $100000 you would have invested $2326
The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden.
I need some help here please
Answer:
d. raíz de 44
[tex] \sqrt{48 \\ } [/tex]
In JKL, k=4.1 cm,j=3.8 cm and angle J=Q3^ Find all possible values of angle K , to the nearest inch of a degree .
Answer:
74.0°
Step-by-step explanation:
In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the nearest 10th of a degree
Solution:
A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.
Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:
[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.
Using sine rule, we can find ∠K:
[tex]\frac{k}{sin(K)}=\frac{j}{sin(J)} \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)} \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o \\[/tex]
The measure of angle D is 50⁰, the measure of angle E is 80⁰, and the measure of angle F is 10x . What is the value of x ?
By the interior angle theorem of triangles, the value of x is 5°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of the interior angles in a triangle is 180°.
Given, In a triangle DEF the measure of angle D is 50⁰, the measure of angle E is 80⁰, and the measure of angle F is 10x .
Therefore, m∠D + m∠E + m∠F = 180°.
50° + 80° + 10x = 180°.
10x = 180° - 130°.
10x = 50°.
x = 5°.
So, The value of x is 5°.
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Jon invested a total of $1500 in two
simple interest accounts. Account A
earns 4% interest and Account B earns
6%. Jon earned a total of $80 interest
after one year. How much did Jon invest
in each account?
A $500 in A, $1000 in B
B $750 in A, $750 in B
C $1000 in A, $500 in B
D $1400 in A, $100 in B
Answer:
the answer is A.
Step-by-step explanation:
A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The height of the airplane above ground after t seconds is given by the equation h=-16t^2+56t+1 where h is the height of the airplane in feet and t is the time in seconds after it is launched. Approximately how long does it take the airplane to reach its maximum height?
A)0.3 seconds
B)1.8 seconds
C)3.5 seconds
D)6.9 seconds
Answer: I think is none
Step-by-step explanation:
Tbh
4 cm
7-64. When Madelyn examined the triangle at left, she says, “I
don't think this diagram is drawn to scale because I think the
side labeled x has to be longer than 4 cm.”
26°
42°
a. Do you agree with Madelyn? Why or why not?
b. Leila thinks that x can be determined by using right triangles. Review what you learned in
Lesson 7.2.1 by calculating the value of x.
Answer:
k
Step-by-step explanation:
The value of x is determined as 6.10 cm using law of sines and the diagram is correctly drawn.
What is the law of sines?The sine law is used to calculate the sides and angles of a triangle. It states that the ratio of the sides and the angles opposite to it are equal.
It can be written a/SinA = b/SinB = c/SinC.
For the diagram shown, the length of side of triangle can be calculated by Sin law as,
x/Sin(42°) = 4/Sin(26°)
⇒ x = 4/Sin(26°) × Sin(42°)
⇒ x = 6.10
Thus, x is greater than 4 cm.
(a) One cannot agree with Madelyn because x is greater than 4 cm.
(b) The value of x can be found by using law of sines.
Hence, the value of x is 6.10 and the diagram is drawn to scale.
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How do I solve 3/2x-7=17
Answer:
x = 0.06 if 3 is over 2x
Step-by-step explanation:
which graph models the solution of the Inequality -6 ≤ -3x
We know that graph (B) models the solution of the given inequality -6 ≤ -3x.
What are graphs?Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function.Line graphs, bar graphs, pie charts, scatter plots, and histograms are examples of common graph types. Graphs are a fantastic tool for displaying statistics and visualizing data. To depict numerical data that is unrelated to one another, a bar graph or chart may be utilized.So, in the given inequality:
-6 ≤ -3xWe know that:
Make x subject: -6/-3 ≤ xWhich is 2 ≤ x, represented in a graph (B).Therefore, we know that graph (B) models the solution of the given inequality -6 ≤ -3x.
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a) Simplify
X-2
7(x - 2)2
Answer:
the fist u cant simply is it will be x - 2
second is 14x-28
Step-by-step explanation:
what is 8333333333/100000000000 simplified? It might be hard but I need help and it's for tonight. Thanks!
Which equations matches the graph shown below ?
Answer:
its y= -0.3(x-2)^2-5
Step-by-step explanation:
I need help asap!!!!!
Which of the following possibilities will form a triangle? (5 points)
Side = 15 cm, side = 6 cm, side = 8 cm
Side = 15 cm, side = 6 cm, side = 9 cm
Side = 16 cm, side = 9 cm, side = 6 cm
Side = 16 cm, side = 9 cm, side = 8 cm
Answer:
16 cm, side = 9 cm, side = 8 cm
Step-by-step explanation:
plz help Consider the figure below.
Simplify answers!
Answer:
Sin Z = 40/85
Tan G = 75/40
Cos Z = 75/85
Sin M = 1
Step-by-step explanation:
23. Sara is playing a board game. The probability
that Sara will score a point on her next turn is
Which statement describes the probability that
Sara will score a point on her next turn?
3.
A. likely
B. certain
C. unlikely
D. impossible
PLZ PLZ PLZ HELP ME :,(
[tex]32/8 = 40/h[/tex]
Which of the following pairs of numbers is matched with its correct greatest common factor? Select two that apply.
A
The greatest common factor of 10 and 68 is 2.
B
The greatest common factor of 33 and 99 is 3.
C
The greatest common factor of 78 and 84 is 6.
D
The greatest common factor of 45 and 54 is 5.
I need the answer right now! It will be worth all of my points!!!!!!
Answer:
a and c
Step-by-step explanation:
10 and 68 is 2 and 78 and 84 is 6
How would I figure this out? It’s graphing circles
Use the distributive property to write (−1)( + 3) as an equivalent expression.
Answer:
-3
Step-by-step explanation:
- times + is equal to -
Charles earns $61.50 for 6 hours of work. What is his rate of pay?
Answer:
The rate of pay per hour is 10.25$ an hour
Step-by-step explanation:
61.50/6= 10.25
–19w + 11 = –17w − 19
w=?
Answer:
W = 15. I hope this helped.
Step-by-step explanation:
Steps:
1.Add 19w to both sides.
11=−17w−19+19w
2.Simplify -17w-19+19w to 2w-19
11=2w−19
3.Add 19 to both sides.
11+19=2w
4. Simplify 11+19 to 30.
30=2w
5.Divide both sides by 2.
30/2 = w
6.Simplify 30/2 to 15.
15=w
7.Switch sides.
w=15
i will give brainliest to whoever answers correctly. this is due in 10 minutes so i would appreciate if you could do it
Answer:
choice 1) 7
Step-by-step explanation:
6 + (9-1)^2 / 4 x (1/2)^4
6 + 64/4(1/16)
6+16/16
6+1 = 7
Simply (square root) 36x^3