If you input 3 into the equation below, what is the resulting y-value?
y=9
Answer:
It will still be 9. y=9 is a horizontal line. No matter the x value, the answer will be the same.
Step-by-step explanation:
Which of the following is true about similar right triangles ?
A. Corresponding angles are not equal.
B. Corresponding trigger number trigonometric ratios are in proportion
C.Corresponding trigonometric ratios are equal
D.Corresponding sides are equal
Answer:
b
Step-by-step explanation:
because its alternation
The option (C) Corresponding trigonometric ratios are equal is correct.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have a statement:
Which of the following is true about similar right triangles?
As we know from the definition the two triangles have the same shape, but it is not compulsory to have the same size.
The ratio of the corresponding sides is in the same proportions
The corresponding trigonometric ratios are equal.
Thus, the option (C) Corresponding trigonometric ratios are equal is correct.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ2
the pythagorean theorem equation
Answer:
(Altitude)^2+(Base)^2=(Hypotenuse)^2
A credit card has a nominal annual interest rate of 18%, and interest is compounded monthly. The cardholder uses the card to make a $30 purchase.
Which expression represents the balance on the card after 5 years, in dollars, assuming no further charges or payments are made?
Answer:
30 [tex](1 + \frac{.18}{12})^{5*12}[/tex]
Step-by-step explanation:
A light bulb consumes 3600 watt-hours per day. How many watt-hours does it consume in 4 days and 18 hours?
Answer:
17,100
Step-by-step explanation:
A light bulb consumes 3600 watts per day
Therefore the number of watts consumed in 4 days 18 hours can be calculated as follows
3600= 24 hours
x= 1 hour
= 3600/24
= 150 watts in an hour
3600×4
= 14,400
150×18
= 2,700
Total watts
= 14,400+2700
= 17,100
Hence the number if watss produced in 4 days 18 hours is 17,100 watts
Last question, so please help me out ASAP!
Answer:
5/18
Step-by-step explanation:
conditional probability formula:
A|B (a given b) = (A∩B)/(B)
so
Moderate|college (moderate given college)= (moderate∩college)/college
moderate∩college= 15
college= 11+15+28= 54
15/54= 5/18
What the hcf of 24 and 180
Answer:
12
Step-by-step explanation:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Graph the image of AUVW after a translation 11 units left and 3 units down.
Please help ASAP!!!
A rectangle is formed by placing two identical squares side by side. the area of the rectangle is 892 cm2. What is the perimeter of the square?
Answer:
288 cm^2
Step-by-step explanation:
If you have 2 congruent squares, side by side, the perimeter is 6*sidelength.
We divide 72 by 6 to find sidelength, and get 12.
We square 12 to find the area of a square, and get 144.
Multiply by 2 to find the area of the rectangle, and get 288 cm^2
change from improper fraction to mix number 51/7
Answer:
7 3/7
Step-by-step explanation:
Solve 3x + 8 = 2x + 21
please find the result !
Answer:
[tex] \displaystyle - \frac{1}{2} [/tex]
Step-by-step explanation:
we would like to compute the following limit:
[tex] \displaystyle \lim _{x \to 0} \left( \frac{1}{ \ln(x + \sqrt{ {x}^{2} + 1} ) } - \frac{1}{ \ln(x + 1) } \right) [/tex]
if we substitute 0 directly we would end up with:
[tex] \displaystyle\frac{1}{0} - \frac{1}{0} [/tex]
which is an indeterminate form! therefore we need an alternate way to compute the limit to do so simplify the expression and that yields:
[tex] \displaystyle \lim _{x \to 0} \left( \frac{ \ln(x + 1) - \ln(x + \sqrt{ {x}^{2} + 1 } }{ \ln(x + \sqrt{ {x}^{2} + 1} ) \ln(x + 1) } \right) [/tex]
now notice that after simplifying we ended up with a rational expression in that case to compute the limit we can consider using L'hopital rule which states that
[tex] \rm \displaystyle \lim _{x \to c} \left( \frac{f(x)}{g(x)} \right) = \lim _{x \to c} \left( \frac{f'(x)}{g'(x)} \right) [/tex]
thus apply L'hopital rule which yields:
[tex] \displaystyle \lim _{x \to 0} \left( \frac{ \dfrac{d}{dx} \ln(x + 1) - \ln(x + \sqrt{ {x}^{2} + 1 } }{ \dfrac{d}{dx} \ln(x + \sqrt{ {x}^{2} + 1} ) \ln(x + 1) } \right) [/tex]
use difference and Product derivation rule to differentiate the numerator and the denominator respectively which yields:
[tex] \displaystyle \lim _{x \to 0} \left( \frac{ \frac{1}{x + 1} - \frac{1}{ \sqrt{x + 1} } }{ \frac{ \ln(x + 1)}{ \sqrt{ {x}^{2} + 1 } } + \frac{ \ln(x + \sqrt{x ^{2} + 1 } }{x + 1} } \right) [/tex]
simplify which yields:
[tex] \displaystyle \lim _{x \to 0} \left( \frac{ \sqrt{ {x}^{2} + 1 } - x - 1 }{ (x + 1)\ln(x + 1 ) + \sqrt{ {x}^{2} + 1} \ln( x + \sqrt{ {x }^{2} + 1} ) } \right) [/tex]
unfortunately! it's still an indeterminate form if we substitute 0 for x therefore apply L'hopital rule once again which yields:
[tex] \displaystyle \lim _{x \to 0} \left( \frac{ \dfrac{d}{dx} \sqrt{ {x}^{2} + 1 } - x - 1 }{ \dfrac{d}{dx} (x + 1)\ln(x + 1 ) + \sqrt{ {x}^{2} + 1} \ln( x + \sqrt{ {x }^{2} + 1} ) } \right) [/tex]
use difference and sum derivation rule to differentiate the numerator and the denominator respectively and that is yields:
[tex] \displaystyle \lim _{x \to 0} \left( \frac{ \frac{x}{ \sqrt{ {x}^{2} + 1 } } - 1}{ \ln(x + 1) + 2 + \frac{x \ln(x + \sqrt{ {x}^{2} + 1 } ) }{ \sqrt{ {x}^{2} + 1 } } } \right) [/tex]
thank god! now it's not an indeterminate form if we substitute 0 for x thus do so which yields:
[tex] \displaystyle \frac{ \frac{0}{ \sqrt{ {0}^{2} + 1 } } - 1}{ \ln(0 + 1) + 2 + \frac{0 \ln(0 + \sqrt{ {0}^{2} + 1 } ) }{ \sqrt{ {0}^{2} + 1 } } } [/tex]
simplify which yields:
[tex] \displaystyle - \frac{1}{2} [/tex]
finally, we are done!
9514 1404 393
Answer:
-1/2
Step-by-step explanation:
Evaluating the expression directly at x=0 gives ...
[tex]\dfrac{1}{\ln(\sqrt{1})}-\dfrac{1}{\ln(1)}=\dfrac{1}{0}-\dfrac{1}{0}\qquad\text{an indeterminate form}[/tex]
Using the linear approximations of the log and root functions, we can put this in a form that can be evaluated at x=0.
The approximations of interest are ...
[tex]\ln(x+1)\approx x\quad\text{for x near 0}\\\\\sqrt{x+1}\approx \dfrac{x}{2}+1\quad\text{for x near 0}[/tex]
__
Then as x nears zero, the limit we seek is reasonably approximated by the limit ...
[tex]\displaystyle\lim_{x\to0}\left(\dfrac{1}{x+\dfrac{x^2}{2}}-\dfrac{1}{x}\right)=\lim_{x\to0}\left(\dfrac{x-(x+\dfrac{x^2}{2})}{x(x+\dfrac{x^2}{2})}\right)\\\\=\lim_{x\to0}\dfrac{-\dfrac{x^2}{2}}{x^2(1+\dfrac{x}{2})}=\lim_{x\to0}\dfrac{-1}{2+x}=\boxed{-\dfrac{1}{2}}[/tex]
_____
I find a graphing calculator can often give a good clue as to the limit of a function.
What is the length of Line segment B C?
What is the measure of _X in degrees?
O A. Cannot be determined
O B. 20°
O C. 40°
O D. 70°
what is the scale factor from figure a to figure b
Scale factor from figure a to figure b = DIVIDE BY 3
{Check:- 33/3 = 11 & 15/3 = 5}
hope this helps :)
Answer:
1/3
Step-by-step explanation:
These two quadrilaterals are similar because figure A's sides are 3 times figure B's sides. Figure A's bottom is 15, while figure B's bottom is 5. To get from 15 to 5, we multiply by 1/3. This is the scale factor. All the other sides of figure A are also 3 times bigger than figure B's.
randy is a car salesman who earns a base pay of $39,800 and is a paid commission of 18% for each car he sells. if x represents total sales in dollars, which equation best represents randys total pay in dollars
Answer:
39,800+x0.18= his total pay
Your Welcome
Biffy Out!!!
can someone help me in this problem
Answer:
8a³b
Step-by-step explanation:
Parallel Lines
PLEASE HELP I NEED ASAP!
Answer:
B
Step-by-step explanation:
The triangles do have equal angles and proportional sides, because they are bot right triangles formed on parallel lines.
:)ur welcome
Answer: Choice B
Yes. Right triangles formed on parallel lines have proportional side lengths and congruent angles.
====================================================
Explanation:
Parallel lines always have equal slopes, but different y intercepts.
Recall that slope = rise/run.
The "rise" is the vertical portion of the triangle, while the "run" is the horizontal portion.
So let's say we had a slope of rise/run = 2/3. This means rise = 2 and run = 3.
If we had something like rise/run = 4/6, then that reduces to 2/3, showing that 4/6 = 2/3. They are the same slope.
We can use the SAS similarity theorem to prove the triangles formed in the diagram are congruent based on what is discussed above.
Because the triangles are similar, this means the corresponding angles are congruent. One such pair is the pair of right angles shown.
help plzzzzzzzzzzzzzzzzzzzzz
Which equation shows the distributive property? (a) 6 x 3 + 6 x 8 = 6 x (3 + 8) (b) 5 + (22 + 19) = (5 + 22) + 19 (c) 20 x 10 = 10 x 20 (d) 45 + 7 = 7 + 45
help me please
help asap ------------------------------
Answer:
(0,-41)
Step-by-step explanation:
Let see if this table of values are proportional.
All x values decrease by -9.All y values decrease by -19.This mean that the function is proportional. This also gives us the slope which is 19/9.
This tell us that this function will be a linear function since we are trying to find the y intercept we would use this equation
We know the slope and we know a point so let use point slope form to find the intercept.
[tex]y - y _1= m(x - x _1)[/tex]
Let use points (-18,-79) and let m =19/9.
[tex]y + 79 = \frac{19}{9} (x + 18)[/tex]
[tex]y + 79 = \frac{19}{9} x + 38[/tex]
[tex]y = \frac{19}{9} x - 41[/tex]
This is in slope intercept form so the y intercept is
[tex] - 41[/tex]
The answer is -41.
graph:y-10=-2(x-10)grgrgrgrggrgrgrgrgrgrrgrrggr
Answer: 14
Step-by-step explanation:
y -1 0 = -6
Ans -2 (x-10) = 14
Hope I could help :)
what is the perimeter of semicircle with radius of 3cm
Answer:
198/7
Step-by-step explanation:
perimeter of semi circle= (pi) x r + d
= 22/7 x 3 + 6
= 198 cm
Answer:
15.42 cm
Step-by-step explanation:
perimeter of semicircle = πr + 2r
=3.14*3 + 2*3
=9.42 + 6
=15.42
What are reciprocals?
Answer:
In mathematics,reciprocal is an expression or function so related to another that their product is unity; the quantity obtained by dividing the number one by a given quantity.
Answer:Rh
Step-by-step explanation:mama
-3x+20+7x=80 what is x? and how do I get it?
Answer:
x = 15
Step-by-step explanation:
-3x+20+7x=80
Combine like terms
4x+20 = 80
Subtract 20 from each side
4x+20 -20 = 80-20
4x = 60
Divide by 4
4x/4 = 60/4
x = 15
A wooden frame is to be constructed in the form of an isosceles trapezoid, with diagonals acting as braces to strengthen the frame. The sides of the frame each measure 5.3 feet, and the longer base measure 12.7 feet. If the angles between the sides and the longer base each measure 68.4 degrees, find the length of one brace to the nearest tenth of a foot.
Answer:
11.8 ft
Step-by-step explanation:
Since the length of one side, l = 5.3 ft, the longer base b = 12.7 ft and the one brace, d form a triangle with angle between the longer base and side being the angle facing the brace is θ = 68.4°, we use the cosine rule to find the length of thee brace.
So d² = l² + b² -2lbcosθ
So, substituting the values of the variables into the equation, we have
d² = (5.3 ft)² + (12.7 ft)² -2(5.3)(12.7)cos68.4°
d² = 28.09 ft² + 161.29 ft² - 134.62(0.3681)
d² = 189.38 ft² - 49.56 ft²
d² = 139.82 ft²
taking square-root of both sides, we have
d = √139.82 ft²
d = 11.82 ft
d ≅ 11.8 ft to the nearest tenth of a foot.
1 Select the correct answer. Kalid simplified a polynomial expression as shown. (6x3 + 8x2 − 7x) − (2x2 + 3)(x − 8) step 1 (6x3 + 8x2 − 7x) − (2x3 − 16x2 + 3x − 24) step 2 6x3 + 8x2 − 7x − 2x3 − 16x2 + 3x − 24 step 3
Answer:
So, the step1 is correct.
Step-by-step explanation:
The expression is
[tex](6 x^3 + 8 x^2 - 7 x)-(2x^2 + 3)(x- 8)\\\\(6 x^3 + 8 x^2 - 7 x) - (2x^3 - 16 x^2 + 3 x - 24)\\\\6 x^3 + 8 x^2 - 7 x - 2 x^3 - 16 x^2 + 3 x - 24\\\\4 x^3 - 8 x^2 - 4 x - 24[/tex]
So, the step 1 is correct.
help pls i need this asap
Answer:
I got 45 degrees
Step-by-step explanation:
knowing that where T is is 90 degrees and a triangle always= 180 degrees I just split 90 in half and got 45. I could be wrong but I hope this helps :)
If a line has a slope of 3, what is the slope of a line perpendicular to it?
Answer:
- [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
Here m = 3 , then
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{3}[/tex]
A triangle has vertices (-1, 2), (3, 1), and (7.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth
Answer
16.25
Step-by-step explanation: To The Nearest Hundredth
(-1, 2), (3, 1)
√17
(3, 1), (7, 2)
√17
(3, 1), (7, 2)
√8
So our answer is =
8 + √17 + √17 = 16.25
hope it works for you!