Answers
Answer:
10 cm
Step-by-step explanation:
Since WX is tangent, it is a right angle
VWX is a right triangle, so we can use the Pythagorean theorem
a^2+b^2 = c^2
6^2 + 8^2 = VX ^2
36+64 = VX ^2
100 = VX ^2
Take the square root of each side
sqrt(100) = sqrt( VX ^2)
10 = VX
Answer:
10 cm
Step-by-step explanation:
Since WX is tangent to the circle V, by definition, WX ⊥ WV.
So, we've established that ΔWXV is a right triangle. This means that we can apply the Pythagorean Theorem, which states that for a triangle with legs a and b and hypotenuse c:
a² + b² = c²
Here, we have a = WV = 6 and b = WX = 8, so:
a² + b² = c²
6² + 8² = 36 + 64 = 100
c² = 100
c = √100 = 10
Therefore, VX = 10 cm.
~ an aesthetics lover
Related Questions
Mrs. Brown has 11 more boys than girls in her class and has a total of 28 students. Which of the following systems of equations could be used to solve this problem?
Answers
Answer:
g=number of girls in the class b=number of boy in the class
g+b=28
g=11+b
A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch which he cannot use. He divides his usable space into four congruent rectangular patches, each of which measures
Answers
Answer:
4m X 6m
Step-by-step explanation:
This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length. the area he will use is 4m x 6m.
What is reflexive property of congruence?The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.
Given information; A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch we need to find which he cannot use.
He divides his usable space into four congruent rectangular patches.
If there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
The 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
Learn more about congruent triangles here:
https://brainly.com/question/16921692
#SPJ2
Which equation represents a graph with a vertex at (-1,6)?
Answers
Answer:
B. [tex]y = 3x^2 -6x -3[/tex]
Step-by-step explanation:
Well, we can use the following formula to find the x coordianate of the vertex -b / 2a.
So let’s start with a)
-6 / 6
-1
A. is wrong because its vertex starts with -1.
b)
6 / 6
1
now that we have our x coordinate we can plug it into the equation to get our y.
3 - 6 - 3
So the y coordinate is -6.
Hence, the answer choice B. [tex]y = 3x^2 -6x -3[/tex]
look at the image below.
Which of the following is the equation of a line that passes through the point
(3.2) and is parallel to the yaxis?
Answers
Answer:
y=2 is the correct ans.
here, tge equn of st line passing through the point (3,2) and is also parallel to y axis.
we have, equn of st line parallel to y xaus is y= b
so , the equn of st line passing through the point (3,2) is y= 2 (where 2 is likely to b).
Triangle ABC is rotated 45° about point X, resulting in triangle EFD. Triangle A B C is rotated 45 degrees about point X to form triangle E F D. The lengths of sides A C and D E are congruent, the lengths of sides A B and E F are congruent, and the lengths of sides D F and C B are congruent. If EF = 4.2 cm, DF = 3.6 cm, and DE = 4.5 cm, what is CB? 3.3 cm 3.6 cm 4.2 cm 4.5 cm
Answers
Answer:
CB = 3.6 cm
Step-by-step explanation:
Here, triangle ABC is rotated about point X which results in triangle EFD. Since triangle ABC is rotated it retains its shape and dimensions. This means that triangle ABC is parallel to triangle EFD ie, ABC≈EFD, also both dimensions will be congruent.
Thus
AB = EF
BC = FD
AC = ED
CB = DF
BA = FE
CA = DE
Since length of side DF = length of side CB, and DF = 3.6 cm. Therefore, CB = DF = 3.6 cm
Length of CB = 3.6 cm
Answer: B it's B
Step-by-step explanation: I got it right
HELP ASAP PLEASE What is the measure of yz (the minor arc) in the diagram below? A.168 B.42 C.192 D.84
Answers
Answer:
B
Step-by-step explanation:
The measure of the tangent- chord angle XYZ is half the measure of its intercepted arc, thus
arc YZ = 2 × 84° = 168° → B
what is the volume of the cylinder below?
Answers
Answer:
A
Step-by-step explanation:
vol of a cylinder = pie* r^2×h
r= 5
h= 9
......vol= 9×5^2 pie= 225pie units ^3
In a group of 45 students, 5 study both Art and Biology. 8 study Biology but not Art. 9 study neither subject. Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answers
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Data provided in the question
There is a total group of 45 students
Art + biology = 5
8 study biology but not Art
Neither subject studied = 9
Based on the above information, the probability of student that studies
art and biology is
Since there is a group of 45 students out of which 5 study both art and biology
So, the ratio is
4: 5
Now divide both sides by 5
So, now the ratio is
9:1
Therefore it means the probability is [tex]\frac{1}{9}[/tex]
write the monomial in standard form. name it's coefficient and identify its degree.
2/3m^2 n *4.5n^3
Answers
Answer:
[tex]Standard\ Form = {3n^2} m^{-2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3m^2n} * 4.5n^3[/tex]
Required
Write in Standard Form
To start with; the two monomials have to be multiplied together;
[tex]\frac{2}{3m^2n} * 4.5n^3[/tex]
[tex]Standard\ Form = \frac{2 * 4.5n^3}{3m^2n}[/tex]
Split the numerator and the denominator
[tex]Standard\ Form = \frac{2 * 4.5 * n^3}{3 * m^2 * n}[/tex]
Multiply Like terms
[tex]Standard\ Form = \frac{9 * n^3}{3 * m^2 * n}[/tex]
Divide 9 by 3 to give 3
[tex]Standard\ Form = \frac{3 * n^3}{m^2 * n}[/tex]
Divide n³ by n to n²
[tex]Standard\ Form = \frac{3 * n^2}{m^2 }[/tex]
Split fraction
[tex]Standard\ Form = {3 * n^2} * \frac{1}{m^2 }[/tex]
From laws of indices;
[tex]\frac{1}{a^n} = a^{-n}[/tex]
[tex]Standard\ Form = {3 * n^2} * \frac{1}{m^2 }[/tex] becomes
[tex]Standard\ Form = {3 * n^2} * m^{-2}[/tex]
Multiply all together
[tex]Standard\ Form = {3n^2} m^{-2}[/tex]
What is the range? Explain
Answers
Answer:
Range = [5, ∞)
Step-by-step explanation:
The initial number of snakes is 5 and it is increasing at a high rate so the maximum number is infinite. The population is increasing exponentially according to the equation P = 5(2)^t where t = the number of years.
Through any 2 points there is exaclty_____line.
Answers
Answer:
One
Step-by-step explanation:
Through any 2 points, there is exactly one line.
Answer:
ONE
Step-by-step explanation:
Through any 2 points there is exaclty ONE line.
Which of the following investments could be represented by the function A = 250(1 + 0.08/12)12 × 4?
Answers
hello,
the first term is 250 so this is the initial invested amount
[tex](1+\dfrac{0.08}{12})^{12}=(1+\dfrac{8\%}{12})^{12}[/tex]
is to compute 8% annual interest compounded monthly (there are 12 months in a year)
and then multiply by 4 means that it is computed for 4 years so
finally the answer is
$250 is invested at 8% annual interest compounded monthly for 4 years
hope this helps
The play director spent 190190190190 hours preparing for a play. That time included attending 35353535 rehearsals that took varying amounts of time and spending 933493 \dfrac{3}{4}934393, start fraction, 3, divided by, 4, end fraction hours on other responsibilities related to the play. What question does the equation 35x+9334=19035x+93\dfrac{3}{4}=19035x+9343=19035, x, plus, 93, start fraction, 3, divided by, 4, end fraction, equals, 190 help answer?
Answers
Answer:
The equation above represents the total time the play director spent preparing for a play.
Step-by-step explanation:
The time spent by the play director for preparing for a play is, 190 hours.
Of these 190 hours, the director spent varying amounts of time attending 35 rehearsals for the play.
Let the varying amounts of time be denoted by, x.
The director also spent 3/4th of an hour, i.e. 45 minutes, on other responsibilities related to the play.
The equation provided is:
[tex]35x+\frac{3}{4}=190[/tex]
The equation above represents the total time the play director spent preparing for a play.
Which expression is equivalent to.......
See pictures
Answers
Answer:
[tex] \sqrt{ {2}^{5} } [/tex]
Step-by-step explanation:
[tex]\huge \bigg( {2}^{ \frac{1}{2} }. {2}^{ \frac{3}{4}} \bigg)^{2} \\ \\ \huge = {2}^{ \frac{1}{2} \times 2 }. {2}^{ \frac{3}{4} \times 2} \\ \\ \huge = 2 \times {2}^{ \frac{3}{2} } \\ \\ \huge = {2}^{ \frac{3}{2} + 1 } \\ \\ \huge = {2}^{ \frac{3 + 2}{2} } \\ \\ \huge = {2}^{ \frac{5}{2} } \\ \\ \huge = \sqrt{ {2}^{5} } [/tex]
Which statement is true about the equations –3x + 4y = 12 and 1/4x-1/3y=1
Answers
Answer: No solution
Step-by-step explanation:
This system of equation has no solution because...
-3x+4y=12
1/4x-1/3y=1
[tex]-3x+4y-4y=12-4y[/tex]
[tex]-3x=12-4y[/tex]
[tex]\frac{-3x}{-3}=\frac{12}{-3}-\frac{4y}{-3}[/tex]
[tex]\frac{12}{-3}-\frac{4y}{-3}[/tex]
[tex]x=-\frac{12-4y}{3}[/tex]
substitute
[tex]\frac{1}{4}\left(-\frac{12-4y}{3}\right)-\frac{1}{3}y=1[/tex]
[tex]-1=1[/tex]
-1=1 is false so therefore this system has no solution
PLEASE HELP ASAP THANKSSSS
Answers
Answer:
The correct answer is C
Step-by-step explanation:
As you can see Town A is on top of Town B this means that Town B has symetric points to town A. This also shows how Town A is Positively skewed.
A 7-column table with 2 rows. Column 1 is labeled Sample with entries catfish, all fish. Column 2 is labeled 1 with entries 3, 20. Column 3 is labeled 2 with entries 5, 20. Column 4 is labeled 3 with entries 7, 20. Column 5 is labeled 4 with entries 5, 20. Column 6 is labeled 5 with entries 6, 20. Column 7 is labeled 6 with entries 8, 20. The mean number of catfish in all 6 samples is approximately 5.7. If 200 fish are in the pond, which proportion can be used to predict the number of catfish in the population? StartFraction 5.7 over 20 EndFraction = StartFraction x over 200 EndFraction StartFraction 5.7 over 20 EndFraction = StartFraction 200 over x EndFraction StartFraction 34 over 20 EndFraction = StartFraction x over 200 EndFraction StartFraction 8 over 20 EndFraction = StartFraction 20 over x EndFraction
Answers
Answer: The correct option is 5.7/20 = x/200
Step-by-step explanation: Please refer to the diagram attached for more details.
From the 7-column by 2-row table drawn, you can determine that the mean number of catfish as given in the question is derived as follows;
Mean = Summation of observed data / Number of observations
Mean = (3 + 5 + 7 + 5 + 6 + 8)/6
Mean = 34/6
Mean = 5.6667
Mean ≈ 5.7
Also the mean number of all fish is derived as follows;
Mean = Summation of observed data / Number of observations
Mean = (20 + 20 + 20 + 20 + 20 + 20)/6
Mean = 120/6
Mean = 20
Using relative frequency, we can confidently predict the number of catfish population in the pond. This simply means, if the mean number of catfish is 5.7 and the mean number of all fish is 20, then the relative frequency would be 5.7 over 20 of the total fish population.
Hence, if there is a total of 200 fish in the pond then to predict the proportion which would be catfish can be expressed as follows;
StartFraction 5.7 over 20 EndFraction = StartFraction x over 200 EndFraction.
OR better expressed as;
5.7/20 = x/200
Answer:
5.7/20 = x/200
Step-by-step explanation:
Which of the following are solutions to the equation below?
Check all that apply.
x2 + 4x-9 = 5x + 3
A. -3
B. 5
| C. 2
D. -4
E. 4
F-7
Answers
Answer:
The answers are options A and E
x² + 4x-9 = 5x + 3
Group like terms
x² + 4x - 5x - 9 - 3 = 0
x² - x - 12 = 0
Using factorization method
(x + 3)( x - 4) = 0
x = - 3 x = 4
Hope this helps
Avery wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3.2% and the other bank is offering a rate of 3% compounded annually. If Avery decides to deposit $7,000 for 5 years, which bank would be the better deal? 1. a simple interest rate of 3.2% 2. a compound interest rate of 3%
Answers
Answer: a simple interest rate of 3.2% will be the better deal.
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 3/100= 0.03)
n= number of compounding periods in each year (1)
Replacing with the values given
A = 7000 (1+0.03/1)^(1x5)
A = 7000( 1.03)^5 = $8,114.92
For simple interest:
I = p x r x t
Where:
I = interest
Replacing with the values given:
I = 7000 x (3.2/100) x 5 = $1,120
Adding the principal amount: 7000+1120 = $8,120
Since 8,120 (simple) >8,114.92(compound)
a simple interest rate of 3.2% will be the better deal.
A grasshopper makes jumps that are either 17 or 19 cm in length, in either direction (forwards or backwards). Is it possible for the grasshopper to cover a distance of 101 cm in 100 jumps?
Answers
Answer: No. The grasshopper cannot cover exactly 101 cm in exactly 100 jumps.
Step-by-step explanation:
If the grasshopper makes 50 forward jumps of 19 cm and 50 backward jumps of 17 cm (in any order) the jumps total 950-850 for a net result of 100.
Changing to any other amount just gets farther away from the goal.
A system of equations yields no solution of integers.
x + y ==100
19x - 17y =101
You can try it, but the result has a decimal. This grasshopper cannot make partial jumps!
y=(x+9)÷(x-3)
Find the value of y when x=5
Answers
solution,
X=5
[tex]y = \frac{x + 9}{x - 3} \\ = \frac{5 + 9}{5 - 3} \\ = \frac{14}{2} \\ = 7[/tex]
hope this helps...
Good luck on your assignment..
Answer:
When x=5
Y=(5+9)÷(5-3)
= 14 ÷2
= 7
Find the missing side length
Answers
I need help please help
Answers
Answer:
21u-16v+18w
Step-by-step explanation:
(7u-4v+4w) 14u-12v+14w
21u-16v+18w
Answer:
= 21u−16v+18w
Step-by-step explanation:
Let's simplify step-by-step.
7u−4v+4w−2(−7u+6v−7w)
Distribute:
=7u+−4v+4w+(−2)(−7u)+(−2)(6v)+(−2)(−7w)
=7u+−4v+4w+14u+−12v+14w
Combine Like Terms:
=7u+−4v+4w+14u+−12v+14w
=(7u+14u)+(−4v+−12v)+(4w+14w)
=21u+−16v+18w
Answer:
=21u−16v+18w
I do not understand this/ help me answer these
Answers
Answer:
-6b -6c3w -122x -246 + 3r8y - 16xStep-by-step explanation:
find the sum of the series 81-27+9......-1/27.
Answers
Answer:
[tex]S_8=\dfrac{1640}{27}=60\frac{20}{27}[/tex]
Step-by-step explanation:
The formula for the sum of a geometric series with first term a1, common ratio r, and n terms is ...
[tex]S_n=a_1\dfrac{1-r^n}{1-r}[/tex]
This series has 8 terms, a common ratio of -1/3, and a first term of 81. Its sum is ...
[tex]S_8=81\dfrac{1-(-\frac{1}{3})^8}{1-(-\frac{1}{3})}=81\dfrac{6560/6561}{4/3}=\dfrac{6560(3^4)(3)}{(4)(3^8)}\\\\\boxed{S_8=\dfrac{1640}{27}=60\frac{20}{27}}[/tex]
I'll always give away 5 stars, thanks and Brainliest to the answer that's correct!
Naruto has a baseball card that is worth $45. The value of the card is increasing at the rate of 1.5% per year. How much will the card be worth in 15 years?
A: $366.17
B: $56.26
C: $89.21
D: $263.97
Answers
Answer:
a I believe sorry if I'm wrong
Answer:
I think its B: $56.26
find a18 of the arithmetic sequence 2, -5, -12, -19
Answers
Answer:
The 18th term of the sequence is -117.
Step-by-step explanation:
The given sequence is 2,-5,-12,-19
From this AP,
First term, a = 2
Common difference, d = -5-2 = -7
It is required to find the 18th term of the sequence. The nth term of an AP is given by :
[tex]a_n=a+(n-a)d\\\\a_{18}=a+17d\\\\a_{18}=2+17\times (-7)\\\\a_{18}=-117[/tex]
So, the 18th term of the sequence is -117.
Complete the equation of the line through (-8,8)(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis and (1,-10)(1,−10)left parenthesis, 1, comma, minus, 10, right parenthesis.
Answers
Answer:
[tex]y = -2x - 8\\OR\\2x+y+8=0[/tex]
Step-by-step explanation:
Given that there are 2 points
[tex]A(-8,8)[/tex] and
[tex]B(1,-10)[/tex]
So, the coordinates are:
[tex]x_2 = 1\\x_1 = -8\\y_2 = -10\\y_1 = 8[/tex]
Equation of a line is given as:
[tex]y =mx+c[/tex]
where 'm' is the slope of the line, formula for 'm' is given as:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex](x,y)[/tex] are the points that satisfy the equation of the line.
[tex]c[/tex] is the [tex]y -[/tex] intercept.
Calculating the value of m using the given coordinates:
[tex]m=\dfrac{-10-8}{1-(-8)}\\\Rightarrow m=\dfrac{-18}{9} = -2[/tex]
So, the equation of line becomes:
[tex]y =-2x+c[/tex]
Now, putting the coordinates of point [tex]A(-8,8)[/tex]
[tex]8 =-2\times (-8)+c\\\Rightarrow 8 = 16+c\\\Rightarrow c = -8[/tex]
Please refer to the graph of given equation of line.
The equation of line is:
[tex]y =-2x+-8\\OR\\2x+y+8=0[/tex]
Which of the following can be represented by the inequality below? 69h + 126 > 540 A. Yvonne is driving more than 540 miles on a trip. She has already driven 126 miles and drives 69 miles each hour. B. Yvonne is driving less than 540 miles on a trip. She has already driven 126 miles and drives 69 miles each hour. C. Yvonne is driving less than 126 miles on a trip. She has already driven 69 miles and drives 540 miles each hour. D. Yvonne is driving more than 540 miles on a trip. She has already driven 69 miles and drives 126 miles each hour.
Answers
Answer:
The answer is A.
Step-by-step explanation:
The inequality states that the amount that Yvonne drives is more than 540 miles. Since h represents the number of hours, we know that 69 probably means the number of miles Yvonne can drive per hour. Finally, 126 shows the amount of miles that Yvonne has already driven.
The police department uses a formula to determine the speed at which a car was going when the driver applied the breaks, by measuring the distance of the skid marks.The equation d=0.03r^2+r models the distance, d, in feet, r miles per hour (r is the speed of the car) Factor the equation. d=?
Answers
Answer:
0.03 feet
Step-by-step explanation:
d = 0.03r² + r
When d = 0: 0.03r² + r = 0
r(0.03r + 1) = 0
∴ r = 0
When r = 0: d = 0.03 feet