8.
If TU = 23 and TV = 5x + 6, then x = ?
23
+
+
U
sxto
10
If PQ = 6x - 1 and PR = 15x - 29,
Answer:
17/5
Step-by-step explanation:
23=5x+6
23-6=5x
17=5x
X=17/5
The value of x in the line segment TV is 8 units.
What is a line segment ?A line segment is a subset of a line which has two endpoints.
According to the question a line segment TV is given which is of 5x + 6 units.
TU is also given which is 23 units.
U is the midpoint of TV this implies that UV is also 23 units.
Now, we know that TV = TU + UV.
5x + 6 = 23 + 23.
5x + 6 = 46.
5x = 46 - 6.
5x = 40.
x = 40/5.
x = 8 units.
learn more about line segments here :
https://brainly.com/question/25727583
#SPJ2
Find the area of a cell phone screen with an 8 inch diagonal that has an aspect ratio of 2:3.
Round answer to the nearest square inch.
Which polygon has two sets of parallel sides?
A. Which polygon has two sets of parallel sides?
A.
B.
C.
D.
B.
C.
D.
Answer:
No. D
please mark me as brainliest please
Answer:
The trapezoid.
(it's the third picture)
PLEASE show all work!!!
If the base of a rectangle is 28 cm and the area is 588 cm^2, what is the height of the rectangle?
The base of the rectangle , b = 28 cm
The area of the rectangle , A = 588 cm^2
Therefore , the height of the rectangle , h = A/b
=588/28 cm = 21 cm .
there are 60 teams attend a chess tournament. every team will play with every other team exactly once. Supposed each team has a 50% chances of winning any games it plays and no ties occue which is the probability that no two teams win the same number of games
The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³
The reason for arriving at the above probability is as follows:
The given parameters are;
The number of teams in the tournament, n = 60
The chance of a team winning a game = 50% = 0.5
The number of ties = No ties
The required parameter:
The probability that no two teams win the same number of games
Method:
Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes
Solution:
The number of matches played, n = [tex]\dbinom {60} {2}[/tex] = 1,770
The possible outcomes = 2; Winning or losing
The total number of possible outcomes, [tex]n_p[/tex] = 2¹⁷⁷⁰
The number of games won by each team is between 0 and 59
The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59
Therefore, the number of ways no two teams won the same number of games, the required outcomes, [tex]n_k[/tex] = 59!
[tex]Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}[/tex]
The probability that no two teams win the same number of games is given as follows;
[tex]\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}[/tex]
Therefore;
[tex]P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}[/tex]
The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³
Learn more about probability theory here:
https://brainly.com/question/1539712
The answer if any body knows it
Answer:
[tex]A=\pi(336)[/tex]
[tex]A=1055.575[/tex]
Step-by-step explanation:
1. Approach
One is given a prism. The base of the prism is a quarter of a circle, the prism's length is also given. The easiest method to find the volume of the prism is to find the area of the quarter of the circle, then multiply the result by the length of the prism.
2. Find the area of the quarter circle
The following formula can be used to find the area of a circle,
[tex]A_c=(\pi)(r^2)[/tex]
Since one is trying to find the area of a quarter of a circle, one must multiply this formula by ([tex]\frac{1}{4}[/tex]). Please note that the parameter (r) represents the radius of the circle or the distance from the center of the circle to the circumference or outer edge of the circle. The parameter ([tex]\pi[/tex]) represents the number ([tex]3.1415...[/tex]).
[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]
Substitute the given values into the formula and simplify to evaluate,
[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]
[tex]A_c=\frac{1}{4}(\pi)((8)^2)[/tex]
[tex]A_c=\frac{1}{4}(\pi)(64)[/tex]
[tex]A_c=(\pi)(16)[/tex]
[tex]A_c\approx 50.2655[/tex]
3. Find the volume of the prism
Now multiply the area of the quarter circle by the length of the prism to find the volume of the prism. Note that the parameter (l) represents the length of the prism,
[tex]A=A_c(l)[/tex]
Substitute and simplify to evaluate,
[tex]A=(\pi)(16)(21)[/tex]
[tex]A=\pi(336)[/tex]
[tex]A=1055.575[/tex]
f(x) = -3x2 + 3x + 7
Find f(8)
Answer:
f(8) = -161
Step-by-step explanation:
f(x) = -3x^2 + 3x + 7
f(8) = -3(8)^2 + 3(8) + 7
f(8) = -192 + 24 + 7
f(8) = -161
According to the table. what is the ratio of pattern 2 to pattern 1?
A) 1/4
B) 1/2
C) 2/1
D) 1
Please answer QUICK
Answer:
1/2.
Step-by-step explanation:
When pattern 2 is 2, pattern 1 is 4 so its 2/4 = 1/2.
Find the perimeter of the polygon with vertices Q(-3,2), R(1,2), S(1,-2), and T(-3,-2)
The perimeter is blank units
Plz ASAP!!!
Answer: The perimeter is 16 units
Step-by-step explanation:
I just need some help in math. This problem specifically
Answer:
∠ ABD = 37° , ∠ DBC = 58°
Step-by-step explanation:
∠ ABD + ∠ DBC = ∠ ABC , substitute values
2x + 23 + 9x - 5 = 95 , that is
11x + 18 = 95 ( subtract 18 from both sides )
11x = 77 ( divide both sides by 11 )
x = 7
Then
∠ ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37°
∠ DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58°
Step-by-step explanation:
Here are all the steps. First, you need to find the value of x . After finding x , just put the answer in the equation and calculate it .
Write the explicit rule of the sequence -1/3, -1 2/3, -3, -4 1/3
Answer:
-1 1/3
Step-by-step explanation:
You can see that if you subtract 1 1/3 from -1/3, you get -1 2/3, and so on
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
5/12 divided then turned into decimal and rounded near hundredth
[tex]\\ \sf\longmapsto \dfrac{5}{12}[/tex]
[tex]\\ \sf\longmapsto 0.4166[/tex]
Round to nearest thousand[tex]\\ \sf\longmapsto 0.417[/tex]
Round to nearest hundredth[tex]\\ \sf\longmapsto 0.42[/tex]
Step-by-step explanation:
0.417 round to the nearest hundredth
type the correct answer rounded to the nearest ten dollars
Answer:
$120.00
Step-by-step explanation:
brainliest please
find locus of a point which moves so that
it's distance from the point (2,1) is double its distance from (1,2)
Answer:
hi,
Step-by-step explanation:
Let say P=(x,y) a point of the locus
[tex]Distance\ from\ P\ to\ (2,1)= \sqrt{(x-2)^2+(y-1)^2} \\Distance\ from\ P\ to\ (1,2)= \sqrt{(x-1)^2+(y-2)^2} \\\\\sqrt{(x-2)^2+(y-1)^2} =2*\sqrt{(x-1)^2+(y-2)^2} \\\\(x-2)^2+(y-1)^2=4*((x-1)^2+(y-2)^2)\\\\3x^2-4x+3y^2-14y+15=0\\\\[/tex]
[tex]3x^2-4x+3y^2-14y+15=0\\3(x^2-2*\dfrac{2}{3} x)+3(y^2-2*\dfrac{7}{3}*y) +15=0\\3(x^2-2*\dfrac{2}{3}*x+\dfrac{4}{9})+3(y^2-2*\dfrac{7}{3}*y+\dfrac{49}{9} ) +15-\dfrac{4}{3}-\dfrac{49}{3}=0\\\\3(x-\dfrac{2}{3})^2+3(y-\dfrac{7}{3})^2-\dfrac{8}{3}=0\\\\\\\boxed{(x-\dfrac{2}{3})^2+(y-\dfrac{7}{3})^2=\dfrac{8}{9}}\\\\[/tex]
Locus is the circle of center (2/3,7/3) and radius =2√2 /3.
What is the value of f(x) when X=-3
f(x) = 2x2 + 4x+10
A. -14
B. -8
C. 16
D. 34
Find a16 of the sequence 1, 6, 11, 16, ....
A. 81
B. 66
C. 76
D. 71
Answer:
C. 76
Step-by-step explanation:
Since the numbers add up by 5, you can use this equation. 5x-4. Plug in 16 for x to get the answer which is 76.
23 - C<6
I cannot find the answer can someone help me?
Answer:
C > 17
Step-by-step explanation:
23 - C < 6
-23 -23
-----------------
-C < -17
multiply both sides by -1
(-c) (-1) > (-17) (-1)
C > 17
What is the quotient of 8,595 ÷ 24?
Hey there!
The quotient of 8595 ÷ 24 would be 358.125.
Hope this helps!
Have a great day!
pls hello ASAP 3/4+(2 1/2)
Answer:
Step-by-step explanation:
Plsss helpppp worth 100 points + other 2 questions
1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function. (1st picture)
a) What is the phase shift, c, of this curve?
b) What is the vertical shift, d, of this curve?
c) What is the amplitude, a, of this curve?
d) What is the period and the frequency factor, b, of this curve?
e) Write an equation using the cosine function that models this data set.
2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to model the curve using the sine function.
(4.5, 2), (1.5, 22)
a) What is the vertical shift, d, of this curve?
b) What is the amplitude, a, of this curve?
c) What is period and the frequency factor, b, of this curve?
d) Write an equation using the sine function that models this curve.
Answer:
1.)
A.) phase shift is c = 6
B.) Vertical shift is 21 units down
C.) The amplitude is 5 from the midline at y = -21
D.) The period is 16 and the frequency factor is pi/8
E.) 5 cos(pi/8(x - 6)) - 21
2.)
Answer:
A.) Vertical shift is 12 units down
B.) The amplitude is 10
C.) The period is 6 and the frequency factor is pi/3
D.) Equation: y = 10sin(pi/3(x)) + 12
Answer:
1.)
A.) phase shift is c = 6
B.) Vertical shift is 21 units down
C.) The amplitude is 5 from the midline at y = -21
D.) The period is 16 and the frequency factor is pi/8
E.) 5 cos(pi/8(x - 6)) - 21
2.)
Answer:
A.) Vertical shift is 12 units down
B.) The amplitude is 10
C.) The period is 6 and the frequency factor is pi/3
D.) Equation: y = 10sin(pi/3(x)) + 12
Step-by-step explanation:
What is the amplitude of sin ?
You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.
Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.
For sine function, can be written as:
[tex] \displaystyle \large{ y = A \sin(bx - c) + d}[/tex]
A = amplitudeb = period = 2π/bc = horizontal shiftd = vertical shiftI am not able to provide an attachment for an easy view but I will try my best!
We know that amplitude or A is a distance from baseline/midline to the max-min point.
Let's see the example of equation:
[tex] \displaystyle \large{y = 2 \sin x}[/tex]
Refer to the equation above:
Amplitude = 2b = 1 and therefore, period = 2π/1 = 2πc = 0d = 0Thus, the baseline or midline is y = 0 or x-axis.
You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.
So to conclude or say this:
If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.
HELP PLZ
The running back for the Southern High School wears his lucky number
48
on his jersey. During his last three games, he carried the ball 58 yards, 49
yards, and
53 yards. What was his total yardage for those last three games. *I have to use the CUBES method so plz show you using that method*
Answer:
160 yards total
Step-by-step explanation:
https://i1.wp.com/caffeinequeenteacher.com/wp-content/uploads/2014/12/cubes-math-strategy-for-word-problems-blog-image.jpeg?resize=1032%2C1536&ssl=1 that link show you what cubes method is. You can take my answer and put it into cubes method form.
Solve x4 − 4x2 − 12 = 0.
Answer:
x^2+2=0 or x^2−6=0
Step-by-step explanation:
x^4-4x^2-12=0
(x^2+2)(x^2−6)
x^2+2=0 or x^2−6=0
Answer:
x=6
Step-by-step explanation:
Hope It Help!
Thanks
What is the base length of a rectangle with a height of 23 ft and an area of 437 ft??
Enter your answer in the box.
Answer:
Answer is 19
Step-by-step explanation:
firstly,the area of a rectangle is =LxW
secondly since there is no number for length,we use X for representing the number ,then height is used for representing breath and the number is 23ft and area is 437ft
so we solve,
LxW=AREA
Xx23=437
23X/23=437/23
X=19
therefore the length is =19
Given (x – 1)2 = 50, select the values of x.
x=-49
x=51
x=1+5sqrt{2}
x=1-5sqrt{2}
Answer:
C and D.
Step-by-step explanation:
We want to solve the equation:
[tex](x-1)^2 = 50[/tex]
We can take the square root of both sides. Since we are taking an even root, we need plus/minus:
[tex]\displaystyle (x-1) = \pm\sqrt{50}[/tex]
Note that:
[tex]\sqrt{50} = \sqrt{2\cdot 5^2} = 5\sqrt{2}[/tex]
Hence:
[tex]\displaystyle (x - 1) = \pm5\sqrt{2}[/tex]
And by adding one to both sides:
[tex]\displaystyle x = 1 \pm 5\sqrt{2}[/tex]
In conclusion, our answers are both C and D.
سر
.
A particular satellite is 15 m wide. A model
of it was built with a scale of 1 cm: 5 m.
How wide is the model?
Answer:
3cm
Step-by-step explanation:
A particular satellite is 15 m wide
Model of it was built with a scale of 1 cm: 5 m
=> scale of the model will be: 1/500cm and A particular satellite is 1500 cm wide
=>1500*1/500=3(cm)
Can someone explain how this equation is solved? I have it already solved but I don't understand how the outcome is got but here is the problem.
Selling price=(1+r)(original cost)
63=(1+r)(42)
1.5=1+r
r=0.5
How did we go from that first part of the problem to the second; what was done exactly?
Which point is located at -0.905?
В.
H
-0.9
HHH
-0.8
-1
Choose 1 answer:
A
Point A
B.
Point B
Point C
Point D
Answer:
point b is located at -0.905 . If it was -0.95 then it would be point A
Answer:
point B
I hope it's helps you
How many names would be said if in a room of 875 people each said everyone name?
Answer:
765625
Step-by-step explanation:
because 875x875 is 765625
Answer:
765,625 names if each says their own name, 764,750 if they don't. (Although, if you wanna get technical, only 875 names are being said, since they're repeating the same names over and over again)
Step-by-step explanation:
Alrighty, this is complicated. Just to make it easier, we're going to switch the word "names" to "words."
There are 875 people in the room, and each one of them is saying 875 words (assuming it includes their own name). So to figure out how many words would be said, you multiply 875 by 875, which gives you 765,625 words. If they say everyone's name EXCEPT their name, then subtract 875, which gives you 764,750.
The value of the 7 in 37,560 is blank the value of the 7 and 4,720
Answer:
The value of the 7 in 37, 560 is greater than the value of the 7 in 4, 720.Step-by-step explanation:
In 37, 560, the value of 7 is 7, 000; in 4, 720, the value of 7 is 700.7, 000 > 700[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]