Answer:
4 + 9i
Step-by-step explanation:
A complex number consists of a real part and an imaginary part, that is
z = x + yi ( x is the real part and yi the imaginary part )
A complex number does not exist in the set of real numbers.
Answer:
4 + 9i
Step-by-step explanation:
HELP! what is the measure of < B
Answer:
m∠B = 98°
Step-by-step explanation:
180° - 143° = 37°
61° + 37° = 98°
m∠B = 98°
look at picture * plz and thank you <3
Answer:
D
Step-by-step explanation:
Carlos is selling bracelets for $2 each and necklaces for $3 each to raise $500 for his basketball gear. Which of the following is a linear equation that describes the situation?
A. 2x+3y=500
b. 2x+3=500
c. 2x+3x=500
d. 3x+2=500
4,6,9,...
Find the 7th term.
Answer:
The relation is 1 digit is being added after every number in the pattern.
So, the 7th term can be found like this.
9+4=13 -4th
13+5=18 -5th
18+6=24 -6th
24+7=31 -7th
Another doctor suggest that for women, there are two researched formulas to find a maximum heart rate m in terms of age a m=220 -a m=206-(0.88xa) using the two equations, at what age year and months would both formulas give the same solution for m? How did yoh find this age? Is your solution reasonable? Explain your reasoning
Answer:
At 116 years and 8 months, the rate would be the same
The solution is not reasonable
Step-by-step explanation:
Given
[tex]m = 220 - a[/tex]
[tex]m = 206 - (0.88 * a)[/tex]
Solving (a): At what age would both rate be equal
To do this, we simply equate both expressions.
[tex]m = m[/tex]
This gives
[tex]220 - a = 206 - (0.88 * a)[/tex]
[tex]220 - a = 206 - 0.88 a[/tex]
Collect Like Terms
[tex]0.88a - a = 206 - 220[/tex]
[tex]-0.12a=-14[/tex]
Divide both sides by -0.12
[tex]\frac{-0.12a}{-0.12} =\frac{-14}{-0.12}[/tex]
[tex]a =\frac{-14}{-0.12}[/tex]
[tex]a =\frac{14}{0.12}[/tex]
Multiply fraction by 100/100
[tex]a = \frac{14*100}{0.12*100}[/tex]
[tex]a = \frac{1400}{12}[/tex]
[tex]a = 116\frac{8}{12}[/tex]
This implies at 116 years and 8 months, the rate would be the same
Is the solution reasonable?
No, it is not reasonable, considering the life expectancy of women to be around 70-72 years old.
116 years old is way too bigger than the life expectancy.
Can anyone help me out with algebra problem ?
Answer:
Option A: x+y=136 and x-y=34 is the correct answer.
Step-by-step explanation:
Let,
x and y be the two numbers.
According to given statement,
The sum of two numbers is 136.
x + y = 136 Eqn 1
The difference of two numbers is 34.
x - y = 34 Eqn 2
x+y=136 and x-y=34 is the system of equations that could be used to solve and determine the numbers.
Hence,
Option A: x+y=136 and x-y=34 is the correct answer.
the product of x and 5
Answer: The product of x and 5 is 5x
Hello guys, plz help me with this question
Answer:
150(1.28^t). ^ sign is to the power of
i’m literally desperate can someone help me figure this out
9514 1404 393
Explanation:
(In order avoid issues with the Brainly censor, we're going to rename point F as point G in this answer. Wherever you see G, you can use F in your own response to this question.)
General Approach
The perpendicular lines tell you these are right triangles. There are a few ways to show right triangles are congruent, one of which is the "HL theorem." It requires you show the hypotenuse and one leg are congruent in the two triangles.
Here, the hypotenuses, DE and AG, are shown as congruent. All that remains is to show one leg is congruent. We have no information about legs BE and CG, but we do have information that will let us show legs AC and DB are congruent.
_____
Proof
1. DE ≅ AG, DC ≅ AB, GC⊥AC, EB⊥DB . . . . given
2. m∠EBD = 90°, m∠GCA = 90° . . . . definition of perpendicular lines
3. CD + CB = DB . . . . segment sum theorem
4. AB + CB = DB . . . . substitution property of equality (CD→AB)
5. AB +CB = AC . . . . segment sum theorem
6. DB = AC . . . . transitive property of equality
7. ΔACG ≅ ΔDBE . . . . HL theorem
Can someone help me please thank you
Answer:
C,D, and E
Step-by-step explanation:
Markup means to raise the price. Multiplying by anything grater than 1 is a markup and since C,D, and E are all multiplying the price of W by greater than one they are all marking up.
What is the domain of y=2x-6?
Answer:
D
Step-by-step explanation:
Will give crown help
Answer:
the slope is -3
Step-by-step explanation:
down 6 and over 2 = -6/2 = -3
Answer:
slope = -3
Step-by-step explanation:
Line pass (1,2) and (3,-4)
slope = difference of y/difference of x
m = (-4 - 2)/(3 - 1) = -6/2 = -3
The picture should have all of the questions, thanks for helping!
Can anybody help with this?
Please help:) (15 points)
Answer:
10.33333 or 31/3 or 10 and 1/3 =x
Step-by-step explanation:
-2=3x-23/4
*4 *4
-8=3x-23
+23 +23
31=3x
/3 /3
10.33333 or 31/3 or 10 and 1/3 =x
-3. 5 * -12= ?
please help me please
Answer:
42
Step-by-step explanation:
The answer is 42 because -3.5 multiplied by -12 is 42
Answer:
-3.5 * -12 = 42
Step-by-step explanation:
Hope this helps
Can someone answer this one question for me? Real answer only please, thanks.
Answer:
209.1 cm2
Step-by-step explanation:
the area of the circle around the rectangle is 113.1 cm2 and the area of the rectangle is 12x8=96cm and 113.1+96=209.1
State the angle congruence theorem that can be used to prove triangles congruent
ASA
SSS
SAS
AAS
ASA
HL
Cannot Be Determined
Andy found these used car prices in the newspaper
Answer:
Good for him also there is no question
Step-by-step explanation:
Answer: whats the car prices that was in the news paper
Step-by-step explanation:
what is the measure of an angle if it is 90 less than 5 times its own compliment
Answer:
The angle is 30. It's complement is 60.
Step-by-step explanation:
Complementary angles add up to 90.
x + (5x-90) = 90
6x = 180
x = 30
The measure of the angle is 60 degrees.
How to find the angle?Let's denote the angle as "x." The complement of angle x would be 90 degrees minus x.
According to the given information, the angle is 90 less than 5 times its own complement. Mathematically, we can express this as:
x = 5(90 - x) - 90
Now, let's solve this equation to find the value of x:
x = 450 - 5x - 90
x + 5x = 450 - 90
6x = 360
x = 360/6
x = 60
That is the angle.
Learn more about angles at:
https://brainly.com/question/25716982
#SPJ2
Greta had $2,992 in a savings account with simple interest. She had opened the account with $2,200 exactly 4 years earlier. What was the interest rate?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
18.3824%
Step-by-step explanation:
Sorry, this may be wrong. I am using an old skill, so it may be wrong.
pls help brainliest if correct
Answer:
72%
Step-by-step explanation:
Answer:
seventy two percent
Will mark brainliest!
What are the slope and the y-intercept of the linear function that is represented by the table?
The slope is -3, and the y-intercept is -1/2
The slope is -3, and the y-intercept is 3/2
The slope is 3, and the y-intercept is -1/2
The slope is 3, and the y-intercept is 3/2
Answer:
The slope is 3, and the y-intercept is -1/2
Work out the area of abcd.
please ensure you give workings out too.
Answer:
[tex]\displaystyle A_{\text{Total}}\approx45.0861\approx45.1[/tex]
Step-by-step explanation:
We can use the trigonometric formula for the area of a triangle:
[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]
Where a and b are the side lengths, and C is the angle between the two side lengths.
As demonstrated by the line, ABCD is the sum of the areas of two triangles: a right triangle ABD and a scalene triangle CDB.
We will determine the area of each triangle individually and then sum their values.
Right Triangle ABD:
We can use the above area formula if we know the angle between two sides.
Looking at our triangle, we know that ∠ADB is 55 DB is 10.
So, if we can find AD, we can apply the formula.
Notice that AD is the adjacent side to ∠ADB. Also, DB is the hypotenuse.
Since this is a right triangle, we can utilize the trig ratios.
In this case, we will use cosine. Remember that cosine is the ratio of the adjacent side to the hypotenuse.
Therefore:
[tex]\displaystyle \cos(55)=\frac{AD}{10}[/tex]
Solve for AD:
[tex]AD=10\cos(55)[/tex]
Now, we can use the formula. We have:
[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]
Substituting AD for a, 10 for b, and 55 for C, we get:
[tex]\displaystyle A=\frac{1}{2}(10\cos(55))(10)\sin(55)[/tex]
Simplify. Therefore, the area of the right triangle is:
[tex]A=50\cos(55)\sin(55)[/tex]
We will not evaluate this, as we do not want inaccuracies in our final answer.
Scalene Triangle CDB:
We will use the same tactic as above.
We see that if we can determine CD, we can use our area formula.
First, we can determine ∠C. Since the interior angles sum to 180 in a triangle, this means that:
[tex]\begin{aligned}m \angle C+44+38&=180 \\m\angle C+82&=180 \\ m\angle C&=98\end{aligned}[/tex]
Notice that we know the angle opposite to CD.
And, ∠C is opposite to BD, which measures 10.
Therefore, we can use the Law of Sines to determine CD:
[tex]\displaystyle \frac{\sin(A)}{a}=\frac{\sin(B)}{b}[/tex]
Where A and B are the angles opposite to its respective sides.
So, we can substitute 98 for A, 10 for a, 38 for B, and CD for b. Therefore:
[tex]\displaystyle \frac{\sin(98)}{10}=\frac{\sin(38)}{CD}[/tex]
Solve for CD. Cross-multiply:
[tex]CD\sin(98)=10\sin(38)[/tex]
Divide both sides by sin(98). Hence:
[tex]\displaystyle CD=\frac{10\sin(38)}{\sin(98)}[/tex]
Therefore, we can now use our area formula:
[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]
We will substitute 10 for a, CD for b, and 44 for C. Hence:
[tex]\displaystyle A=\frac{1}{2}(10)(\frac{10\sin(38)}{\sin(98)})\sin(44)[/tex]
Simplify. So, the area of the scalene triangle is:
[tex]\displaystyle A=\frac{50\sin(38)\sin(44)}{\sin(98)}[/tex]
Therefore, our total area will be given by:
[tex]\displaystyle A_{\text{Total}}=50\cos(55)\sin(55)+\frac{50\sin(38)\sin(44)}{\sin(98)}[/tex]
Approximate. Use a calculator. Thus:
[tex]\displaystyle A_{\text{Total}}\approx45.0861\approx45.1[/tex]
If P'(5,-4) is the image of point P(2,3) under a translation then what is (6,-2) under the same translation? Please and thank you!
Solve for x.
a. 10.2
b. 19.2
c. 4.8
d. 16.9
Answer:
C I think is the answer ok.
A rectangular prism with a length of 11 inches, width of 8 and one-half inches, and height of 2 and one-half inches.
What statements about the volume of the prism are correct? Check all that apply.
Find the area of the base and multiply that by the height to find volume.
The volume is measured in squared inches.
The volume is measured in cubic inches.
The volume of the prism is 176 and one-fourthin.3.
The volume of the prism is 233 and three-fourths in.3.
Answer:
A, C, and E
Step-by-step explanation:
just did the assignment on edge 2020 uwu
Answer:
a, e, c or 1, 2, 3
Step-by-step explanation:
just got it right on edge 2021 trust me :)
Z=m-x
(Rearrange the equation so that the x is alone)
Could someone help me solve it and explain ?
I’m confused !!!
What is 7643.63 rounded to the nearest dollar?
Answer:
7644
Step-by-step explanation:
Hope this helps!
2x + y = 3
y = x - 3
Which point is the solution?
A (-2, -1)
C (-1,2)
B (-1,-2)
D (2, -1)