Answer:
7.0
Step-by-step explanation:
Tangents form right angles, so AOB is a right triangle.
Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.
5^2 + B^2 = 8.6^2
25 + B^2 = 73.96
B^2 = 48.96
B = squareroot 48.96
B = 6.997 --> 7.0
Answer: r is 7
Step-by-step explanation:
ABO is a right triangle
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997[/tex]
Which pair of expressions are equivalent?
27x + 45y and 7(9x + 7y)
2x + 18y and 2(x + 9y)
2(15x + y) and 30x + 15y
10(4x + 5y) and 20x + 10y
Answer:
second one
Step-by-step explanation:
Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2
So it will be 2x+18y
2*9=18
A triangle has side lengths of 6,9, and 17. Is this possible or impossible
Answer:
impossible
Step-by-step explanation:
the formula for triangle sides is a^2 + b^2 = c^2
and these numbers dont equal that
The graph below shows the solution set of which inequality ?? HELP FASTTT
Answer:
A.The graph shows the solution set of the equality √x < -1
(No Solutions)
Hi anyone here for talking
Answer:
yessssssssss.........
Gordon decided on purchasing a $141,000 home. At closing he brought a check for $7570. The closing costs were as follows: Title Fee $545 Processing Fee $2100 Appraisal $695 Based on this information, how many points did Gordon purchase? O A. 2 B. O C. 1 OD. 3
Answer:
D. 3 points purchased
Step-by-step explanation:
Took the bullet
Option D is correct, based on the information Gordon purchased 3 point
What is Fraction?A fraction represents a part of a whole.
Given that Gordon decided on purchasing a $141,000 home.
At closing he brought a check for $7570.
One point is equal to 3% of the total loan amount, so the cost of one point would be:
Cost of one point = 3% of $130,090
Cost of one point = $3,902.70
To find out how many points Gordon purchased
we need to divide the total cost of points by the cost of one point:
Number of points = Total cost of points / Cost of one point
Number of points = $10,910 / $3,902.70
Number of points = 2.8
=3
Therefore, based on the information Gordon purchased 3 points, Option D is correct.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ2
Subtract 8 1/6- 4 5/6 . Simplify the answer and write as a mixed number
Answer: 3 1/3
Step-by-step explanation: You change 8 1/6 to improper fraction which is 49/6 and change 4 5/6 to improper fraction which is 29/6. Next you take 49/6 and subtract 29/6 which is 20/6.After that you simplify 20/6 by divide both sides by 2 which gives you 10/3.Lastly change 10/3 to a mixed number which is 3 1/3.
Hope it helps :) and look at pic below.
5. Which is the best estimate for the sum of 3/8 and 1/12?
The best estimate is 11/24.
To solve, find a common denominator between both 8 and 12. They can both multiply into 24.
To turn 8 into 24, you multiply by 3, so you must do the same with its numerator. To turn 12 into 24, you multiply by 2, so again, you must do the same with its numerator:
3/8 ---> 9/24
1/12 ---> 2/24
Then, you can add the numerators together and keep the denominator 24:
9/24 + 2/24 = 11/24.
Please Help! SCAMMERS WILL BE REPORTED. Use Gauss-Jordan elimination to solve the following linear system
-4x + 4y + 5z = 9
-2x + 2y + z = 3
-4x + 5y = 4
Answer:
This is possible and the answer is (-1,0,1)
Step-by-step explanation:
It’s difficult to write out matrices here.
I apologize!
What is the surface area of the cylinder shown below? Use 3.14 for π.
A. 502.4 cm2
B. 602.88 cm2
C. 785 cm2
D. 602.4 cm2
it is C
Step-by-step explanation:
i did the test
Answer:
The answer is actually B.
Step-by-step explanation:
I have an actual explanation to this! But I don't like dealing with pdfs, also typing it out will be a lot. Ik I am late, but to whomever else needs help that's the answer! Glad to help:)
The area of the trapezium is four times the area of the parallelogram. Work out the value of x
Answer:
2.5cm
Step-by-step explanation:
area of trapezium = 4 * area of parallelogram
1/2(a+b)*h=4* bh
1/2(5+11)*4= 4* 3.2x
8*4=4*3.2x
8/3.2=x
2.5cm=x
Es fills his sport bottle wit 1.2 liter of water how much milliliters of water is in ed sport bottle
A fast-food restaurant operates both a drive through facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-through and walk-in facilities are in use, and suppose that the joint density function of these random variables is,
f (x, y) ={2/3(x+2y) 0 ≤ x ≤ 1 , 0 ≤ y ≤ 1
(a) Find the marginal density of X.
(b) Find the marginal density of Y .
(c) Find the probability that the drive-through facility is busy less than one-half of the time.
Answer:
[tex](a)\ g(x) = \frac{2}{3}(x+1)[/tex]
[tex](b)\ h(y) = \frac{1}{3}[1 + 4y][/tex]
[tex](c)[/tex] [tex]P(x>0.5) =\frac{5}{12}[/tex]
Step-by-step explanation:
Given
[tex]f(x,y) = \left \{ {{\frac{2}{3}(x+2y)\ \ 0\le x \le 1,\ 0\le y\le 1} \right.[/tex]
Solving (a): The marginal density of X
This is calculated as:
[tex]g(x) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dy[/tex]
[tex]g(x) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dy[/tex]
[tex]g(x) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dy[/tex]
Integrate
[tex]g(x) = \frac{2}{3}(xy+y^2)|\limits^{1}_{0}[/tex]
Substitute 1 and 0 for y
[tex]g(x) = \frac{2}{3}[(x*1+1^2) - (x*0 + 0^2)}[/tex]
[tex]g(x) = \frac{2}{3}[(x+1)}[/tex]
Solving (b): The marginal density of Y
This is calculated as:
[tex]h(y) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dx[/tex]
[tex]h(y) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dx[/tex]
[tex]h(y) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dx[/tex]
Integrate
[tex]h(y) = \frac{2}{3}(\frac{x^2}{2} + 2xy)|\limits^{1}_{0}[/tex]
Substitute 1 and 0 for x
[tex]h(y) = \frac{2}{3}[(\frac{1^2}{2} + 2y*1) - (\frac{0^2}{2} + 2y*0) ][/tex]
[tex]h(y) = \frac{2}{3}[(\frac{1}{2} + 2y)][/tex]
[tex]h(y) = \frac{1}{3}[1 + 4y][/tex]
Solving (c): The probability that the drive-through facility is busy less than one-half of the time.
This is represented as:
[tex]P(x>0.5)[/tex]
The solution is as follows:
[tex]P(x>0.5) = P(0\le x\le 0.5,0\le y\le 1)[/tex]
Represent as an integral
[tex]P(x>0.5) =\int\limits^1_0 \int\limits^{0.5}_0 {\frac{2}{3}(x + 2y)} \, dx dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 \int\limits^{0.5}_0 {(x + 2y)} \, dx dy[/tex]
Integrate w.r.t. x
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (\frac{x^2}{2} + 2xy) |^{0.5}_0\, dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 [(\frac{0.5^2}{2} + 2*0.5y) -(\frac{0^2}{2} + 2*0y)], dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (0.125 + y), dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}(0.125y + \frac{y^2}{2})|^{1}_{0}[/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125*1 + \frac{1^2}{2}) - (0.125*0 + \frac{0^2}{2})][/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125 + \frac{1}{2})][/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125 + 0.5][/tex]
[tex]P(x>0.5) =\frac{2}{3} * 0.625[/tex]
[tex]P(x>0.5) =\frac{2 * 0.625}{3}[/tex]
[tex]P(x>0.5) =\frac{1.25}{3}[/tex]
Express as a fraction, properly
[tex]P(x>0.5) =\frac{1.25*4}{3*4}[/tex]
[tex]P(x>0.5) =\frac{5}{12}[/tex]
PLEASE ANSWER ASAP FOR BRANILEST!!!!!!!!!!!!!!!!!!!!
Answer: 60
Step-by-step explanation: Plug in 8 for x and either use the linear supplements theorem to solve or the vertical angles congruence theorem.
Will give BRAINLEST :)
Answer:
A
Step-by-step explanation:
This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.
g + t + k = 90
g + 2t - k = 55
-g - t + 3k = 30
Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.
g + t + k = 90
-g - t + 3k = 30
____________
0 + 0 + 4k = 120
4k = 120
k = 30
No you can plug this into the first two equations
g + t + (30) = 90
g + t = 60
and
g + 2t - (30) = 55
g + 2t = 85
now use elimination again by multiplying the first equation by -1
g + 2t = 85
-g - t = -60
_________
0 + t = 25
t = 25
Now plug those both back into one of the equations. I'll just do the first one.
g + (25) + (30) = 90
g = 35
Therefore, we know that Ted spent the least amount of time on the computer.
The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.
Each figure below represents a fraction. Which figure is NOT equivalent to the others
The full question with the answer options is as follows:
Each figure below represents a fraction. Which figure is NOT equivalent to the others?
the answer options are as follows:
a. [tex]\frac{2}{3}[/tex]
b. [tex]\frac{4}{6}[/tex]
c. [tex]\frac{3}{4}[/tex]
d. [tex]\frac{8}{12}[/tex]
Answer:
The correct answer is c:
Step-by-step explanation:
To know when two or more fractions are equivalent, we must multiply the numerator of one fraction by the denominator of the other fraction, the result must be the same value.
[tex]\frac{2}{3} x \frac{4}{6}[/tex] = (2x6) =12 ; (3x4)=12
[tex]\frac{2}{3} x \frac{8}{12}[/tex] = (2x12)=24 ; (3x8) =24
[tex]\frac{4}{6} x \frac{8}{12}[/tex] = (4x12)=48; (6x8)=48
Two sides of a right triangle have lengths of 78 inches and 30 inches. The third side is not the hypotenuse. How long is the third side ?
Answer:
the answer is 72 inches
Step-by-step explanation:
a²+b²=c²
a²+900=6084
a²=5184
a=72
URGENT WILL GIVE BRAINLIEST
Answer:
40
Step-by-step explanation:
Please help me..........
Answer:
I think it's 4.5
Step-by-step explanation:
I divided the servings by the packages and I got 4.5 for each of them.
40x +16y = ( + )
plz help me
Answer:
Write in Slope-Intercept Form
Graph
Find the x and y Intercepts
Find the Slope
Find the Slope and y-intercept
Write in y=mx+b Form
Write in Standard Form
Write in order from least to greatest 0, 7, −2, |− 5|, 1.5, 0.7
Answer:-5,-2, 0, .7,1.5,7
Step-by-step explanation:
AS shown above
sorry to bother and all but i have no idea
Answer:
t=40
Step-by-step explanation:
first, add 21 to -21=0
to keep it balanced add 21 to 19=40
so t=40
hope this helps
Please help and stop with the links!
What’s the mean median mode and range of the data set 14,18,12,20
Answer:
....
Step-by-step explanation:
mean: 16
median: 16
there is no mode
range: 8
Hi pls help ASAP no links or you will be reported and terminated. Pls and Thx.
Answer:
Area = [tex]x^{2} +2x+2[/tex]
Perimeter = [tex]4x+1[/tex]
Step-by-step explanation:
So the shape is made up of one [tex]x^{2}[/tex], two xs and two 1s
add that together you get [tex]x^{2} +2x+2[/tex]
Starting at the top left you have a side length of 1. Then it goes down 1 before an x. Then you have up 1 and over 1, which is 2. Going down the right side you have a 1 and an x. Then the bottom is 1, x, and 1. You go up another x and then 1 to meet back where you started.
In total that is [tex]4x+1[/tex]
What is the range of y=4sin(x)-2
Answer:
According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.
Step-by-step explanation:
$500 at 4% for 3 years
:FIND THE INTEREST EARNED
Answer:60$
Step-by-step explanation:
Which of the following ordered pairs is a solution of the system of inequalities?
y > 2x2 – 8
y ≤ –x2 – 3x + 4
Question 5 options:
A)
(4, –3)
B)
(–3, –2)
C)
(5, 0)
D)
(0, –5)
9514 1404 393
Answer:
D) (0, -5)
Step-by-step explanation:
A graphing calculator is helpful. It shows that the point (0, -5) is in the solution spaces of both inequalities.
__
If we consider only the case of x=0, then the solution space reduces to ...
-8 < y ≤ 4 . . . . . the constants of the two inequalities
Here, it is easy to see that y=-5 is in the solution space.
(0, -5) is a solution
Given the table below, what is the x-intercept of the linear function?
Answer:
-6
Step-by-step explanation:
5/9 divided by 8/= ?
Find the value of y.
3 cm
5 cm
X
6 cm
у
2 cm
3 cm
y = [?] cm
Enter a decimal rounded to the nearest tenth.
Answer: 4.3
Step-by-step explanation:
11x2=22
22/3= 7.3
7.3-3= 4.3