Answers
Answer:
16.2
Step-by-step explanation:
use Pythagorean theorem
a^2 + b^2 = c^2
15^2 + 6^
225 + 36 = 261
take the sq root of 261
Related Questions
In AABC, which trigonometric ratio has the value a/c?
Answers
Answer:
tan A has the ratio a/c
Step-by-step explanation:
Pleased to help u...
Angles α and β are angles in standard position such that: α terminates in Quadrant III and sinα = - 5/13 β terminates in Quadrant II and tanβ = - 8/15
Find cos(α - β)
-220/221
-140/221
140/221
220/221
Answers
Answer:
140/221.
Step-by-step explanation:
For the triangle containing angle α:
The adjacent side is -√(13^2-5^2) = -12.
For the triangle containing angle β:
Hypotenuse = √(-8)^2 + (15)^2) = 17.
cos(α - β) = cos α cos β + sin α sin β
= ((-12/13) * (-15/17) + (-5/13)* (8/17)
= 180/221 + - 40/221
= 140/221.
Anyone want to help me out?
Answers
Answer:
SAS Postulate (third option)
Step-by-step explanation:
A trick that I use is that s stands for side and a for angle
the picture shows that two sides are the same which means the SS
and one angle is the same, hence the one A
Hope this helps!
Select the correct answer. What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)? A. x2 + y2 − 4x + 2y + 1 = 0 B. x2 + y2 + 4x − 2y + 1 = 0 C. x2 + y2 + 4x − 2y + 9 = 0 D. x2 − y2 + 2x + y + 1 = 0
Answers
Answer:
x^2 +4x + y^2 -2y +1 =0
Step-by-step explanation:
First we need to find the radius
Since the y coordinate is the same, the radius is the difference in the x coordinate -2 - (-4) = -2+4 = 2
A circle can be written in the form
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x--2)^2 + (y-1)^2 = 2^2
(x+2)^2 + (y-1)^2 = 4
FOIL ing
x^2 +4x+4 + y^2 -2y +1 = 4
Combining like terms
x^2 +4x + y^2 -2y +5 -4 =0
x^2 +4x + y^2 -2y +1 =0
Answer and Step-by-step explanation:
Answer:
x^2 +4x + y^2 -2y +1 =0
Step-by-step explanation:
First we need to find the radius
Since the y coordinate is the same, the radius is the difference in the x coordinate -2 - (-4) = -2+4 = 2
A circle can be written in the form
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x--2)^2 + (y-1)^2 = 2^2
(x+2)^2 + (y-1)^2 = 4
FOIL ing
x^2 +4x+4 + y^2 -2y +1 = 4
Combining like terms
x^2 +4x + y^2 -2y +5 -4 =0
x^2 +4x + y^2 -2y +1 =0
Explain why f(x) = x^2-x-6/x^2-9 is not continuous at x = 3.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]
Required
Why is the function not continuous at x = 3
First substitute 3 for x at the denominator
[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]
Factorize the numerator and the denominator
[tex]f(x) = \frac{x^2 - 3x+2x -6}{x^2 - 3^2}[/tex]
[tex]f(x) = \frac{x(x - 3)+2(x -3)}{(x - 3)(x+3)}[/tex]
[tex]f(x) = \frac{(x+2)(x - 3)}{(x - 3)(x+3)}[/tex]
Divide the numerator and denominator by (x - 3)
[tex]f(x) = \frac{x+2}{x+3}[/tex]
Substitute 3 for x
[tex]f(3) = \frac{3+2}{3+3}[/tex]
[tex]f(3) = \frac{5}{6}[/tex]
Because [tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex] is defined when x = 3;
Then the function is continuous
Answer:
A: f is not defined at x = -3
Step-by-step explanation: EDGE 2020
I can’t figure it out
Answers
Answer:
5inch
Step-by-step explanation:
15_10=5
because full length is 15 cm given on another side and length of some part of another side is. given.so we have to subtract it
Answer:
5 inches
Step-by-step explanation:
You can notice that the 15 in side is parallel to the 10 in side and the missing side
let x be the missing side
10+x = 15 substract 10 from both sides 10-10+x = 15-10 x = 5so x is 5 inches
Lucy is going to invest in an account paying an interest rate of 7% compounded daily. How much would Lucy need to invest, to the nearest dollar, for the value of the account to reach $84,000 in 6 years?
Answers
Answer:
Lucy needs to invest $55,194.16
Step-by-step explanation:
The given information are;
The interest rate of the account = 7% compounded daily
The amount at the end of 6 years = $84,000
The time duration = 6 years
The amount Lucy
The formula for compound interest is
[tex]A(t) = P \times \left ( 1 + \dfrac{r}{n} \right )^{n \times t}[/tex]
Where;
r = The interest rate = 7% = 0.07
n = The number of times a year = 365
t = The number years = 6 years
A(t) = The amount after 6 years = $84,000
P = The initial amount invested
Therefore, we have;
[tex]\$ 84,000 = P \times \left ( 1 + \dfrac{0.07}{365} \right )^{365 \times 6}[/tex]
[tex]P = \dfrac{\$84,000}{\left ( 1 + \dfrac{0.07}{365} \right )^{365 \times 6}} =\dfrac{\$84,000}{1.522} = \$55,194.16[/tex]
Therefore, Lucy needs to invest $55,194.16.
The hanger image below represents a balanced equation.
3
5
2
Write an equation to represent the image.
Answers
Answer:
The answer is 1/5 + z = 3/5
Step-by-step explanation:
Answer:
1/5+z=3/5
Step-by-step explanation:
please Evaluate (1/6) to the 3 power A.) 1/216 B.) 1/36 C.) 1/18 D.) 1/9
Answers
Answer:
A-1/216
Step-by-step explanation:
(1/6)^3 is the same as: 1^3/6^3. Since one to any power is always 1, it woudl just be 1/6^3. 6^3 is 216, so the answer would be 1/216.
Hope this is helpfule! :)
Answer:
1/216
Step-by-step explanation:
(1/6)^3
(1/6) * (1/6) * (1/6)
1/216
A sector with an area of 30 pi cm^2 has a radius of 10cm. What is the central angle measure of the sector of the degree?
Answers
Answer:
108
Step-by-step explanation:
1. In your own words please describe a Relations vs. Function
2. please describe the mathematical order of operation(photo attached)
Answers
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
1. Relations are the set of y (output) and x (input) values that are related. A function is when each input has a relation with one output.
2. The mathematical formula is the formula of Pythagoras theorem. Where the length c (hypotenuse) is equal to the square root of the sum of the legs squared.
ASAP!!! PLEASE help me with this question!
Answers
Answer:
C. 16π
Step-by-step explanation:
Well we need to find the area of the top circle which has a radius of 4cm.
π(4)^2
16π in terms of pi
Thus,
the answer is C. 16π.
Hope this helps :)
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
w²-30w+210=0
Step-by-step explanation:
2w + 2l = 60 , w + l = 30, l = 30 - w
wl = 210
w(30-w) -210 = 0
30w - w²-210 = 0
w²-30w+210=0
PLEASE HELP ME GUYS Consider adjacent angles that measure (2x + 45)° and (3x + 55)°. The sum of the measures of these two angles is 135°. Write and solve and equation to find the value of x and the measure of the two angles.
Answers
Answer:
x=7
2x+45=59
3x+55=76
Step-by-step explanation:
Answer:
7°, 59°, 76°
Step-by-step explanation:
The equation for the sum of the angles:
(2x + 45)° + (3x + 55)° = 135°Solving for x:
(5x + 100)°= 1355x= 35x= 35°/5x= 7°The angles:
(2x + 45)°= 2*7°+45° = 59°(3x+55)°= 3*7° + 55° = 76°what is
[tex] \frac{2ax + 3}{ax + 3} = - 1[/tex]
x value
Answers
[tex]\dfrac{2ax+3}{ax+3}=-1[/tex]
Rewrite -1 as a fraction
[tex]\dfrac{2ax+3}{ax+3}=\dfrac{-1}{1}[/tex]
Cross multiply
[tex]2ax+3=-1(ax+3)[/tex]
Distribute the -1
[tex]2ax+3=-ax-3[/tex]
Add both sides by ax
[tex]3ax+3=-3[/tex]
Subtract both sides by 3
[tex]3ax=-6[/tex]
Divide both sides by 3a
[tex]x=-\dfrac{6}{3a}[/tex]
Simplify
[tex]=-\dfrac{2}{a}[/tex]
That's the value of x respect to a. Let me know if you need any clarifications, thanks!
Answer:
Step-by-step explanation:
[tex]\frac{2ax+3}{ax+3} =-1\\2ax+3=-ax-3\\2ax+ax=-3-3\\3ax=-6\\x=-\frac{2}{a}[/tex]
Mr. Berger assigned the following system of equations to be solved for homework. 2 x minus 3 y = negative 12. 4 x + y = negative 10. Which is the x-coordinate of the correct solution? x = negative 3 x = negative one-fifth x = StartFraction 9 Over 7 EndFraction x = 2
Answers
Answer:
x=-3
Step-by-step explanation:
2 x - 3 y = -12.
4 x + y = -10.
The Answer is:
X= -3
A metal cube
of
side 4.4cm was melted
and the molten material used to make a Sphere
Find to 3 significant figures the radius of
the
sphere [take It - 22/7].
Answers
Answer: 2.73 cm
Step-by-step explanation:
Given that :
Side (a) of cube = 4.4cm
Volume of a cube (V) = a^3
V = 4.4^3
V = 85.184cm^3
Therefore, volume of the sphere made = 85.184cm^3
Volume of sphere = 4/3 πr^3
Where r = radius
85.184 = (4/3)*(22/7)*r^3
85.184 = (88/21)*r^3
85.184 = 4.1905 * r^3
r^3 = 85.184 / 4.1905
r^3 = 20.327884
Take the cube root of both sides
r = 2.73 cm
Simplify.
B2 x b6=??
Answers
Answer:
b^8
Step-by-step explanation:
When multiplying exponents with the same base, we can add the exponents
b^2 * b^6
b^ (2+6)
b^8
Answer:b8 x
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "b6" was replaced by "b^6". 1 more similar replacement(s).
STEP
1
:
Multiplying exponential expressions
1.1 b2 multiplied by b6 = b(2 + 6) = b8
Final result :
b8x
30% of a number is 45 what is the number ?
Answers
Hey there! I'm happy to help!
When talking about percents, the word "is" usually means equals. Let's use this to solve an equation! We will call our number n. Note that 30% is equal to 0.3 in decimal form because 0.3 is 30% of one! :D
0.3n=45
To solve, we need to isolate the n. To do this, we divide both sides by 0.3 because this cancels out the 0.3 that is being multiplied by n and it shows us what n will then equal.
0.3n÷0.3=45÷0.3
n=150
Therefore, 30% of 150 is 45. Try multiplying 0.3 by 150 and you will get 45!
Have a wonderful day! :D
Omar has a new credit card.He earns 300 reward points for every 100 dollars he spends. If Omar earned 1800 reward points, how much money did he spend?Easy question for easy points
Answers
Answer:
$600
Step-by-step explanation:
1800/300 = 6
6 x 100 = $600
Answer:
$600
Step-by-step explanation:
1800/300 = 6
6 x 100 = $600
i cant see the answers does anyone else have this problem
Answers
Answer:
yeah....same!
Step-by-step explanation:
I'm having the same problem I thought it was just me
Please answer this in two minutes
Answers
How
are in
3 5 dozens ?
many eggs
6
Answers
Answer: 46 eggs
Step-by-step explanation:
There are 12 eggs in a dozen. Thus, there are 3 5/6*12, or 46 eggs.
Hope it helps <3
help me plz its math plz help
Answers
Hi there! :)
Answer:
a = 12 units.
Step-by-step explanation:
Using the Pythagorean Theorem (c² = a² + b²), where
c = length of the Hypotenuse
a = length of the shorter leg
b = length of the longer leg
We can calculate the length of "a" by substituting in the values into the equation:
c = 15
a = "x"
b = 9
----------------
15² = x² + 9²
Simplify the squares:
225 = x² + 81
225 - 81 = x²
144 = x²
Take the square root of both sides:
√144 = x
x = 12 units.
Therefore, the length of a = 12 units.
Answer:
a= 12
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
b= 9
c= 15
a= x = what we are looking for
For this problem, we need to set c² equal to x² and b², which would look like:
15²= x²+9²
225= x²+81
Subtract 81 from both sides
144=x²
Square root both sides
x=12
a= 12
Based on the table, which best predicts the end
behavior of the graph of f(x)?
As x, f(x) —, and as x->-0, f(x) →..
As x 700, f(x) →, and as x -→-00, f(x) →--.
As x, f(x) →-00, and as x———00, f(x)
As x -+-0, f(x) →-00, and as x->-00, f(x) -
->
-→-00
Answers
Answer:
The correct option is;
As x → ∞ f(x) → -∞, and as x → -∞ f(x) →∞
Step-by-step explanation:
The values given are;
x, f(x)
-4, 18
-3, 9
-2, 6
-1, 3
0, 0
1, -3
2, -6
3, -9
4, -18
Based on the table, as the magnitude of x increases in the positive direction, the magnitude of f(x) increases in the negative direction
Therefore, the correct option that best predicts the end behavior of the graph of f(x) is As x → ∞ f(x) → -∞, and as x → -∞ f(x) →∞.
Determine if the function below is continuous.
Answers
Answer:
No
Step-by-step explanation:
I believe at the point of (1,1) there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous.
Continuous means that there is no abrupt changes (google) and im sure you know this already (im just saying no offence to anyone's intelligence)
The given function is not continuous. The correct option is D.
What is a continuous function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
A continuous function in mathematics is one that causes the value of the function to continuously vary as the input changes over time. This indicates that there aren't any discontinuities or sudden changes in value.
The point of (1,1) there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous. Continuous means that there are no abrupt changes.
It is shown in the graph that the function is reducing continuously at the point ( 1,-1) and after that, there is a sudden change in the function after that it becomes constant or parallel to the x-axis.
Because there is a sudden change in the function it will be termed a discontinuous function.
Hence, the function is not continuous, and the correct option is D.
To know more about continuous function follow
https://brainly.com/question/18102431
#SPJ5
There are 5 orange bumper cars and 3 green bumper cars that are being tested
for safety for a ride at an amusement park. Two bumper cars are tested at
random, one at a time, without retesting the same car.
Find the probability that both cars are orange.
Enter the correct answer in the box.
Answers
Answer:
5/14
Step-by-step explanation:
I assume after testing the 1st car, it is not placed back into the pool.
So, 1st test orange is 5/8
2nd test orange is 4/7.
Both had to be true, so 5/8 x 4/7 = 5/14
Solve for X and determine the measure of each angle.
X
(x - 35)
X
(2x - 75°)
Answers
it's a quadrilateral
interior angles add up to 360
x + 2x - 75 + x + x - 35 = 360
5x - 110 = 360
5x = 360 + 110
x = 470 ÷ 5
x = 95
and x - 35 = 60
2x - 75
= 190 -75
= 115
Answer:
see explanation
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Sum the given angles and equate to 360
x + x + x - 35 + 2x - 75 = 360, that is
5x - 110 = 360 ( add 110 to both sides )
5x = 470 ( divide both sides by 5 )
x = 94 , then
x - 35 = 94 - 35 = 59
2x - 75 = 2(94) - 75 = 188 - 75 = 113
Thus
The 4 angles are 59°, 94°, 94°, 113°
PLEASE HELPP!!!
Find C to two decimal places and find the measure of angle B.
Answers
Answer:
<B = 32°
c = 9.43
Step-by-step explanation:
To find the measure of <B, add up the measures of the two angles that you know and subtract from 180°.
58° + 90° = 148°
180° - 148° = 32°
The measure of <B is 32°.
To find the length of side c, use the Pythagorean Theorem.
a² + b² = c²
5² + 8² = c²
25 + 64 = c²
89 = c²
c = √89
c = 9.433981132 ⇒ 9.43 (rounded to two decimal places)
The length of side c = 9.43.
Hope that helps.
There are 6 chemical elements represented by Li, Na, Mg, Rb, Cs, and Fr that
are written on separate pieces paper. You randomly choose 3 elements, one
at a time, without replacement.
Find the probability that the third element is Na.
Enter the correct answer in the box.
Answers
Answer:
1/6
Step-by-step explanation:
I think this is tricky.
when you randomly choose the 1st two times, it doesn't matter as long as Na was not chosen, otherwise the probability would become ZERO for the 3rd one be Na.
So, after 1st two is removed, there are only 4 left in the pool, so picking Na at the 3rd draw is 1/4 probability.
But, come to think of it, when 1st draw, you have to draw the other 5 out of 6, 2nd draw the 4 out of 5, then 3rd is 1 Na out of the 4.
So, 5/6 x 4/5 x 1/4 = 1/6