Answer: tgA=12/5
Step-by-step explanation:
[tex]\displaystyle\\0^0 < B < 90^0\\sin^2B+cos^2B=1\\sin^2B+cos^2B-sin^2B=1-sin^2B\\cos^2B=1-sin^2B\\cos^2B=1-(\frac{5}{13})^2\\\\cos^2B=1-\frac{5^2}{13^2} \\\\cos^2B=1-\frac{25}{169} \\\\cos^2B=\frac{1*169-25}{169} \\\\cos^2B=\frac{144}{169}\\\\\sqrt{cos^2B} =\sqrt{\frac{144}{169} } \\\\cosB=б\sqrt{\frac{12^2}{13^2} } \\\\cosB=б\sqrt{(\frac{12}{13})^2 } \\\\cosB=б\frac{12}{13} \\\\As,\ 0^0 < B < 90^0\\\\cosB=\frac{12}{13} \\\\[/tex]
[tex]\displaystyle\\tgB=\frac{sinB}{cosB}\\\\ tgB=\frac{\frac{5}{13} }{\frac{12}{13} } \\\\tgB=\frac{5}{12} \\\\tgA=tg(90^0-tgB)\\\\tgA=ctgB\\\\tgA=\frac{1}{tgB} \\\\tgA=\frac{1}{\frac{5}{12} }\\\\ tgA=\frac{12}{5}[/tex]
What are the real and imaginary parts of the complex number?
10−7i
The real part:
The imaginary part:
Answer:
Real: 10
Complex: -7i
Step-by-step explanation:
i is imaginary.
The real part of the complex number is 10 and the imaginary part of the complex number is -7i.
What is complex number?The complex number is of the form a+ib where a and b are real numbers.
The given number is 10-7i.
Compare the given number with a+ib and determine the values of a and b.
a=10
b=-7
In the complex number, a+ib the real part is a and b is the imaginary part.
So, the real part of the given number is 10 and the imaginary part is -7i.
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Which of the following series is equal to the repeating decimal 0.353535…?
ANSWERS
1.C
2. 0.35.
3. 0.01
4. 35/99
Answer: 2.
Step-by-step explanation: This is because 35 is repeating forever.
Translate to an equation and solve the following: h divided by −13 is equal to −65.
-9r+10r i have one more pls help me
Answer:
r
Step-by-step explanation:
10r - 9r = r
What is 25% of 2,000
Answer:
500
Step-by-step explanation:
= (25/100)*2000
= (25*2000)/100
= 50000/100 = 500
Step 1: In the given case Output Value is 2000.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 2000 = 100%.
Step 4: In the Same way, x = 25%.
Step 5: On dividing the pair of simple equations we got the equation as under
2000 = 100% (1).
x = 25% (2).
(2000%)/(x%) = 100/25
Step 6: Reciprocal of both sides results in the following equation
x%/2000% = 25/100
Step 7: Simplifying the above-obtained equation further will tell what is 25% of 2000
x = 500%
Therefore, 25% of 2000 is 500
Which line is an asymptote of the function f(x)= -6e^4(x-1) - 2 ?
A. y = 1
B. y = -2
C. y = -6
D. y = 1
Answer:
i am positive it is B
Step-by-step explanation:
Can someone explain me to me how to solve this
Answer:
4/10 or simplified to 2/5
Step-by-step explanation:
when dividing fractions by a whole number, you want to imagine the whole number as a fraction. which would be 2/1. So you want to use the reciprocal of 2/1 which is 1/2. Then you multiple 4/5 by 1/2 which is 4/10 or simplified to 2/5 hope this helps :)
the science club went on a two-day field trip the first day the members pay $50 for transportation plus $12 per ticket to the Planetarium the second day they paid $100 for transportation plus $9 for tickets to the geology Museum write an expression to represent the total cost in dollars for two days for the end members of the club and expression that represents the total cost in dollars for two days for the end members of the club is given
Answer:
y=50+12x y=100+9x
Step-by-step explanation:
The health benefits Daisy receives from his employer covers 45% of the total montly premium of $350.00. How much does Daisy have to pay each month?
Answer:
$192.5
Step-by-step explanation:
1. turn 45% into .45
2. multiply .45 x 350
3. get 157.5 and then subtract 350-157.5
4. answer is 192.5
how would you factorise 3y + 12
Answer:
lol it so easy man 3(y+4) is the answer
Find the measures of the numbers angles in each rectangle
Answer:
m<1 = 60°
m<2 = 30°
m<3 = 90°
Step-by-step explanation:
Recall some properties of Rectangle. Thus:
The four angles of a rectangle are right angles = 90° each.
Opposite sides of a rectangle are also parallel to each other.
With the knowledge of these, we can solve for angles 1, 2, and 3.
Thus:
m<1 = 60° (alternate interior angles are congruent)
m<2 + m<1 = 90° (complementary angles)
m<2 + 60° = 90° (substitution)
m<2 = 30° (substraction property of equality)
m<3 = 90° (angle of a rectangle)
The school band has 8 trumpet players and 10 flute players. The ratio of trumpeters to flutists is 4 to what number?
Answer= 5 flute players
Need help ASAP!!! Please comment if you know the answer I Really need help
Explain why (y - 7)/(x - 5) = 2/6
Step-by-step explanation:
The given equation is :
[tex]\dfrac{y-7}{x-5}=\dfrac{2}{6}[/tex]
or
[tex]\dfrac{y-7}{x-5}=\dfrac{1}{3}[/tex]
Cross multiplying both sides:
[tex]3(y-7)=x-5\\\\3y-21=x-5\\\\3y-x=21-5\\\\3y-x=16[/tex]
The simplified equation is 3y-x=16.
Part E
Open the parallel lines rotation application .The right set of parallel lines is a 90° rotation counterclockwise of the left set of
parallel lines. Click the 90° counterclockwise button. Are the two sets of parallel lines the same? What does this mean about
how parallel lines change when you rotate them?
Two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.
What is Angle Translation?A translation is a type of transformation that involves sliding each point in a figure the same distance in the same direction. In geometry, translating something simply means moving it around. We do not alter it in any way. When we translate a segment, it remains a segment and its length remains constant. Similarly, when we translate an angle, the angle's measure remains constant.According to the given diagram:
Although the two sets of parallel lines in each set remain equidistant to each other, the parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.Therefore, two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.
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Isabella tossed a coin and spun a spinner that is divided into 3 equal sections. She did this 50 times. The results are shown in the table. What is the experimental probability that the next time Isabella tosses the coin and spins the spinner she will get a tails and a 2? *
Answer:
ur gay landen
Step-by-step explanation:
Write the slope intercept form of the equation of the line through the given point with the given slope
Through: (-5,3), slope=-3/5
Given that,
Point = (-5,3)
Slope, m = -3/5
To find,
The slope intercept form of the equation of the line.
Solution,
The general form of equation is :
y = mx +b
We have, x = -5, y = 3
So,
[tex]3=\dfrac{-3}{5}(-5)+b\\\\3=-3+b\\\\b = 6[/tex]
The equation is :
[tex]y=\dfrac{-3}{5}x+6[/tex]
Hence, the required equation is [tex]y=\dfrac{-3}{5}x+6[/tex].
Solve the equation for X
X^2 = 36/324
Answer:
X = 1/3 or X = -1/3
Step-by-step explanation:
Solve for X over the real numbers:
X^2 = 36/324
36/324 = 1/9:
X^2 = 1/9
Take the square root of both sides:
Answer: X = 1/3 or X = -1/3
In the parallelogram below, x = [? ] 6x-57 3x+3
The value of x is 20
What is a parallelogram?A parallelogram is a quadrilateral with equal opposite sides
Since the opposite sides of a parallelogram are equal, then the following equation is true
[tex]6x - 57 = 3x + 3[/tex]
Divide through by 3
[tex]2x - 19 = x + 1[/tex]
Collect like terms, in the above equation
[tex]2x - x = 19 +1[/tex]
Evaluate the like terms
[tex]x = 20[/tex]
Hence, the value of x is 20
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Are the two triangles in the image similar? ASAP
Answer:
Yes, they are
Step-by-step explanation:
180 - 100 = 80
80 - 45 = 35
All angles 100, 45, and 35
Answer:
Yes
Step-by-step explanation:
Triangle QRP is missing angle R, which is 35 degrees and triangle TUS is missing angle S, which is 45 degrees. The two triangles have the other missing angle.
Mrs.jones waters the plants on her porch every 5 days. She waters the vegetable garden every 2 days. If she waters them both today, how many days will pass before she will water both of them on the same day again?
the answer is 10. if you take the lcm of 5 and 2 you should get it.
Find x and y, i only need the answer so no need to show work
Answer:
x = 26
y = 92
Step-by-step explanation:
4x - 16 = 3x + 10
x = 26
y = 180 -88
y = 92
What is the length of JL?
As We can see that point J is on (-2,5) and L is on (-2,-2)
So we know that distance cannot be in negative, thus
Distance between J and L =5+2=7 units
JL=7
pls help I will fail 10th grade
Answer:
b
Step-by-step explanation:
Please mark brainiest
si en la cancha de una escuela se va a colocar 150 sillas en forma rectangular, cuales seran las posibles arreglos de manera que no sobren sillas en ninguna fila
Answer:
RGRGAEGETG
Step-by-step explanation:
The theater has 9 chairs in a row and there are 4 rows there are 36 chairs and for an upcoming show, the theater needs to have 4 times as many chairs, they are able 3 more chairs to each row and they can add as many rows as you want and how many rows do they need if they need 144 chairs
Answer:
the answer is 118
Step-by-step explanation:
so you basically want to add the numbers first but not 144 you want to see if those numbers add up to 144 or if its not enough, then you will need to subract 46 and 144 for get your answer! Btw if this is wrong im sorry but i hope it helps you.
For the line that passes through the points (0, 2) and ((6, 0), the xintercept is what the y-intercept is what
Answer:
x int = 6
y int = 2
Step-by-step explanation:
Construct a viable argument. Mr. Allen has $149
in his checking account. He wants to write a check
for $169 to pay a bill. Is this a good idea? Why or
why not? Use addition of integers in your
explanation.
Not possible to pay the bill
• Addition of integers is the process for finding out the sum of more than two variables. There may be an increase or decrease in value, depending on whether the integers are positive or negative or a mixture
• Addition in mathematics is one out of the four basic mathematical operations used for adding of two numbers.
Rules for addition of integers
• The sum of an integer and its additive inverse is 0.
• Addition of two positive integers always result in a positive value that is always greater than both the integers.
• Adding two negative values always result in a positive value what is smaller than the given numbers.
• Adding 0 to any numbers results the same number.
Mr Allen has $149 in his account and he need to write a check of $169 . It is not possible because 149 < 169 , he must have money more than or equal to $169 for paying the bill.
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(HELP ME EXTRA POINTS )John just hired a new employee to work in your bakeshop. In one day, the employee burned 150
chocolate chip cookies out of 1,000 cookies made. What percent of the day's production, did
John's new employee burn?
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Step-by-step explanation:
Answer:
15%
1000* 15% = 150
Step-by-step explanation:
150 : 1000 = x : 100
(150 * 100) / 1000
15000/1000 =
15
What 5 points are not coplanar with H, E, and A?
5 points that are not coplanar with H, E, and A are B, I, C, F, and G.
The figure in the given diagram is a cube. We have to find the 5 points in the cube that are not coplanar with H, E, and A.
Points are non-coplanar if they don't lie on the same plane.
From the given cube diagram, it is clear points A, E, H, J, and D lie on the same plane, while the points B, I, C, F, and G lie on a different plane. Since we have to check if the points are coplanar with respect to the given points H, E, and A.
It can be concluded that points J and D are coplanar with the given points H, E, and A as they all lie in the same plane, while the points B, I, C, F, and G are non coplanar points with respect to the given points H, E, and A as they lie on a different plane.
Therefore, using the concept of coplanar and non coplanar points, we get 5 points that are not coplanar with H, E, and A as B, I, C, F, and G.
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