Answer:
C Y is equal to 2
. hope this is your answer
confused on my math work.
Answer:
The right answer is the last option, 12,12.
Step-by-step explanation:
[tex]GI^2=FI*IH\\ GI^2 = 7*21\\ GI = \sqrt{147}[/tex]
[tex]\sqrt{147} = 12,124... = 12,12[/tex]
What is the area of the sector shown in the diagram below?
Answer:
(B ) . 34.2cm^2
Step-by-step explanation:
[tex]A = \frac{\alpha }{360} \times \pi r^2\\\alpha=20 \\r = 14\\\\A =\frac{20}{360} \times 22/7\times 14^2\\A = 1/18 \times4312/7\\A =34.2 cm^2[/tex]
Of the six members in the Spirit of Woodstock rock band, four can play guitar. There are three who can play keyboards. All of the singers play guitar, and two of the guitarists also play keyboards. Two members do all three. One guitarist doesn’t sing. How many members sing but do not play keyboards?
Answer:
1 can sing but cannot play keyboard.
Step-by-step explanation:
There are six members in the rock band. We need to identify how many person can sing, play guitar and play keyboard. To identify this we will find out number of member for each activity,
Total 6 members
4 can play guitar
3 can pay keyboard
All singers play guitar but one guitarist cannot sing.
There will be 1 singer who cannot play keyboard.
help with this I don't know how to solve.
Answer:
sinR = 0.7184
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
sin∅ = opposite/hypotenuse
Step 1: Find missing leg length
16² + b² = 23²
b² = 23² - 16²
b = √273
Step 2: Find sinR
sinR = √273/23
sinR = 0.718379
Apply the distributive property to factor out the greatest common factor of all three terms. {10a - 25 + 5b} =10a−25+5b =
Answer:
5(2a -5 + b)
Step-by-step explanation:
(10a - 25 + 5b) = 5( 2a - 5 + b)
5(b + 2a - 5) = 5(2a - 5 + b)
Answer:
5(2a -5 + b)
Step-by-step explanation:
the diagram shows a circle drawn inside a square the circle touches the edges of the square
Answer:
69.5309950592 cm²
Step-by-step explanation:
Area of Square:
Area = [tex]Length * Length[/tex]
Area = 18*18
Area = 324 square cm
Area of circle:
Diameter = 18 cm
Radius = 9 cm
Area = [tex]\pi r^2[/tex]
Area = (3.14)(9)²
Area = (3.14)(81)
Area = 254.469004941 square cm
Area of Shaded area:
=> Area of square - Area of circle
=> 324 - 254.469004941
=> 69.5309950592 cm²
What is m<3 ? M<6 is and m<8 is (x+5
Answer:
m∠3 = 115 degrees
Step-by-step explanation:
angle 6 and angle 8 are on a straight line
we know that sum of angles on straight line is 180
therefore
m∠8 = x+5
m∠6 + m∠8 = 180
2x - 5 + x+5 = 180
=> 3x = 180
=> x = 180/3 = 60
Thus,
m∠6 = 2x-5 = 2*60 - 5 = 115
we know that for two parallel lines cut by a transversal
alternate opposite angles are equal
m∠6 and m∠3 are alternate opposite angles
thus
m∠6 = m∠3 = 115 (answer)
Find the indicated probability. Find the probability that 3 randomly selected people all have the same birthday. Ignore leap years. Round to eight decimal places
Answer:
P = 0.00000751
the probability that 3 randomly selected people all have the same birthday is 0.00000751
Step-by-step explanation:
the probability that 3 randomly selected people all have the same birthday P;
P = P1 × P2 × P3 ........1
For the first person, since there is no specified date, he can have any of the 365 days of the year as his birthday. the probability P1 is;
P1 = 365/365 = 1
For the second person, he must have the same birthday as the first. The probability P2 is;
P2 = 1/365
The third person must also have the same birthday as the other two. The probability P3 is;
P3 = 1/365
Substituting the values into equation 1;
P = 1 × 1/365 × 1/365
P = 0.0000075060987051
To eight decimal places;
P = 0.00000751
the probability that 3 randomly selected people all have the same birthday is 0.00000751
Find the square root of 8-2√5
Answer:
1.88
Step-by-step explanation:
8-2√5=3.527864045
square root of 3.527864045=1.87826090972
the question will probably want it to 2d.p (decimal places) which means the answer would be 1.88
Answer:
The square root of 8 - 2√5 is
[tex] \sqrt{4 + \sqrt{11} } \: - \sqrt{4 - \sqrt{11} } [/tex]
Step-by-step explanation:
To find the square root
8-2√5 must be in the form √a - √b where a > b
√ 8 - 2√5 = √a - √b
Square both sides
8 - 2√5 = (√a - √b)²
That's
8 - 2√5 = (a + b) - 2√ab
Since the two surd expressions are equal we can equate them
That's
8 = a + b ........ 1
a = 8 - b ........ 2
2√5 = 2√ab
Simplify
Divide both sides by 2
√5 = √ab
square both sides
We have
5 = ab ....... 3
Substitute a = 8 - b into equation 3
5 = ( 8 - b)b
5 = 8b - b²
b² - 8b + 5 = 0
After solving
b = 4 + √ 11 or 4 - √ 1
Since b is less than a
b = 4 - √11
a = 4 + √11
So the square root of 8 - 2√5 is
[tex] \sqrt{4 + \sqrt{11} } \: - \sqrt{4 - \sqrt{11} } [/tex]
Hope this helps you.
What is the measure of angle z in this figure?
Enter your answer in the box.
z =
°
Two intersection lines. All four angles formed by the intersecting lines are labeled. Clockwise, the angles are labeled 124 degrees, x degrees, y degrees, and z degrees.
Answer:
z= 56°
hope u understood it...
Answer:
Z=56
Step-by-step explanation:
Because i said so
Which of the following best describes the dashed line shown in the regular
octagon below?
A. Altitude
B. Base
C. Apothem
D. Leg
Answer: Apothem
Step-by-step explanation: Half of an octagon is called an apothem
The dashed line shown in the regular octagon is called an apothem.
What is an octagon?Octagon is an eight-sided two-dimensional geometrical figure. An octagon consists of 8 interior angles and 8 exterior angles. The sum of the interior angles of an octagon is 1080°, and the sum of its exterior angles is 360°.
Given is a regular octagon, we need to determine the asked part of the given octagon is called what,
So, the part asked is called the apothem.
A line from the center of a regular polygon at right angles to any of its sides is called an apothem.
Hence, the dashed line shown in the regular octagon is called an apothem.
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You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats. You sample 80 men, and 55% own cats. You sample 100 women, and 30% own cats. Find the test statistic, rounded to two decimal places. 41.11Incorrect
Answer:
Step-by-step explanation:
This is a test of 2 population proportions. Let 1 and 2 be the subscript for the men and women who own cats respectively. The population proportion of men and women who own cats would be p1 and p2 respectively.
p1 - p2 = difference in the proportion of men and women who own cats.
The null hypothesis is
H0 : p1 = p2
p1 - p2 = 0
The alternative hypothesis is
Ha : p1 ≠ p2
p1 - p2 ≠ 0
it is a two tailed test
Sample proportion = x/n
Where
x represents number of success
n represents number of samples
For men
n1 = 80
p1 = 55/100 = 0.55
x1 = p1n1 = 0.55 × 80 = 44
For women,
n2 = 100
p2 = 30/100 = 0.3
x2 = p2n2 = 0.3 × 100 = 30
The pooled proportion, pc is
pc = (x1 + x2)/(n1 + n2)
pc = (44 + 30)/(80 + 100) = 0.41
1 - pc = 1 - 0.41 = 0.59
z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)
z = (0.55 - 0.3)/√(0.41)(0.59)(1/80 + 1/100) = 3.39
Test statistic = 3.39
What is the length of each leg in the right triangle shown?
Answer: C
Step-by-step explanation:
This is a 45-45-90 triangle. In a 45-45-90 triangle, the hypotenuse is x√2 in length. The legs are equal to each other. They have the length of x. X is consistent throughout all 3 sides of the triangle. Since we have the hypotenuse, we can set it equal to x√2 to find x that will let us know the length of the legs.
7√2=x√2 [divide both sides by √2]
x=7
Now that we know the length is x=7, the legs are 7 in length each.
If 3/4 and 12/x are equivalent what is the value of x
Answer:
x = 16
Step-by-step explanation:
Simply set them equal to each other and solve:
3/4 = 12/x
3x = 48
x = 16
Answer:
16
Step-by-step explanation:
3/4 = 12/x
Cross multiply.
3 × x = 12 × 4
3x = 48
Divide both sides by 3.
3/3x = 48/3
x = 16
Express the confidence interval 0.333 less than p less than 0.999 in the form Modifying Above p with caret + or - E. Modifying Above p with caret + or - E = + or -.
We are being asked to express the confidence interval " [tex]0.333 < p < 0.999[/tex] " in the form [tex]P + / - E[/tex]. Well, just take a look at procedure below for the first half of the problem,
[tex]P = ( 0.999 + 0.333 ) / 2,\\E = ( 0.999 - 0.333 ) / 2[/tex]
As you can see, for this first bit we took the average of the numbers, for the second we subtracted one from the other, and now let us approximate each value -
[tex]P = ( About ) 0.666,\\E = ( About ) 0.333[/tex]
And so, [tex]P + / - E[/tex] should be [tex]0.666 + / - 0.333[/tex]. That is our solution!
Write this trinomial in factored form.
7x^2 - 16x - 15
Enter the correct answer.
Hey there! :)
Answer:
(7x +5)(x - 3)
Step-by-step explanation:
Starting with:
7x² - 16 - 15
Find two numbers that add up to -16 and multiply to form -15. Remember the coefficient of 7 in the front of the equation.
The numbers '5' and '-3' can be derived. Put these into factored form:
(7x +5)(x - 3)
Determine the product of (4.2 × 10–1) ⋅ (5.7 × 10–1). Write your answer in scientific notation. Question 7 options: A) 239.4 × 10–1 B) 2.394 × 10–1 C) 23.94 × 10–1 D) 239.4 × 10–2
Answer:
Its B
Step-by-step explanation:
B is the proper answer in scientific notation and scientific notation is only one decimal placed
The most common form of scientific notation inserts a decimal point after the first significant digit
Derive R = v0 2 sin2θ0 / g for the range of a projectile on level ground by finding the time t at which y becomes zero and substituting this value of t into the expression for x − x0, noting that R = x − x0.
Answer:
R = V₀² Sin 2θ₀/g
Step-by-step explanation:
Consider a projectile motion with following properties:
R = range of projectile
V₀ = Launch Velocity of Projectile
θ₀ = Launch Angle
V₀ₓ = V₀ Cos θ₀ = x - component of launch velocity
V₀y = V₀ Sin θ₀ = y - component of launch velocity
t = time to reach maximum height
T = 2t = total time of flight
First we use 1st equation of motion in vertical direction to find value of "t":
Vfy = V₀y + gt
where,
Vfy= final vertical velocity at highest point = 0 m/s
g = -g (for upward motion)
V₀y = V₀ Sin θ₀
Therefore,
0 = V₀ Sin θ₀ - gt
t = V₀ Sin θ₀/g
Now the total time of flight will be:
T = 2t = 2 V₀ Sin θ₀/g
Since, the horizontal velocity of the projectile remains uniform throughout the motion. Therefore:
x - x₀ = V₀ₓ T
where,
x - x₀ = R = Range of Projectile
V₀ₓ = V₀ Cos θ₀
Therefore,
R = (V₀ Cos θ₀)(2 V₀ Sin θ₀/g)
R = V₀² (2 Sin θ₀Cos θ₀)/g
since, 2 Sin θ Cos θ = Sin 2θ
Therefore,
R = V₀² Sin 2θ₀/g
A colleague has been tutoring six students in 11th grade to prepare for the ACT. This colleague has asked you to evaluate the performance of his students. Student scores were as follows: 20, 18, 16, 15, 23, 20. The mean of the ACT scores is:
Answer:
Mean value of the ACT scores
x⁻ = 18.66
Step-by-step explanation:
Explanation:-
Given data
Student scores were as follows: 20, 18, 16, 15, 23, 20.
Mean value or Expected value
x ⁻ = ∑x/n
[tex]x^{-} = \frac{20+18+16+15+23+20}{6}[/tex]
[tex]x^{-} = \frac{112}{6} = 18.66[/tex]
Mean value = 18.66
Final answer:-
Mean value of the ACT scores
x⁻ = 18.66
solve and find the value of (1.7)^2
Answer:
2.89
Step-by-step explanation:
just do 1.7×1.7=2.89
Find the distance of the line segment joining the two points:
segment joining the two points: (√ 2,0) and(0, - √ 2)
Answer:
2
Step-by-step explanation:
[tex]\sqrt{((\sqrt{2} - 0)^2 + (0 - (-\sqrt{2}))^2)[/tex]
SOMEONE HELP! I AM GOING TO FAIL THIS WITHOUT U :(
A survey was taken of students in math classes to find
out how many hours per day students spend on social
media. The survey results for the first-, second-, and
third-period classes are as follows:
First period: 2, 4, 3, 1, 0, 2, 1, 3, 1, 4, 9, 2, 4, 3,0
Second period: 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Third period: 4, 5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1, 3
Which is the best measure of center for second period
and why?
Answer:
D) Standard deviation, because there are no outliers that affect the center
a geometric series has second term 375 and fifth term 81 . find the sum to infinity of series .
Answer: [tex]\bold{S_{\infty}=\dfrac{3125}{2}=1562.5}[/tex]
Step-by-step explanation:
a₁, 375, a₃, a₄, 81
First, let's find the ratio (r). There are three multiple from 375 to 81.
[tex]375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}[/tex]
Next, let's find a₁
[tex]a_1\bigg(\dfrac{3}{5}\bigg)=375\\\\\\a_1=375\bigg(\dfrac{5}{3}\bigg)\\\\\\a_1=125(5)\\\\\\a_1=625[/tex]
Lastly, Use the Infinite Geometric Sum Formula to find the sum:
[tex]S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}[/tex]
Which ordered pairs are solutions to the equation 3x+12y=2?
Select the correct answer below:
A. (7,10)
B. (-8,-8)
C. (-7,4)
D. (-2,-4)
E. none of the above
Answer:
E
Step-by-step explanation:
Substitute each point into the equation to test whether they would equate to 2. Point a equates to 141, point b to -120, c to 27 and d to -54. Therefore, none of the points would correctly balance/be solutions to the equation
The solutions to the equation 3x + 12y = 2 is the option E. none of the above.
What is Equation?Equations are the mathematical expressions which consist of two expressions including one or more variables connected with an equal to sign.
We have to find the solution of the equation 3x + 12y = 2.
Substitute each ordered pairs given.
A. (7, 10)
(3 × 7) + (12 × 10 ) = 21 + 120 ≠ 2
B. (-8, -8)
(7 × -8) + (12 × -8) ≠ 2
C. (-7, 4)
(3 × -7) + (12 × 4) = -21 + 48 ≠ 2
D. (-2, -4)
(3 × -2) + (12 × -4) ≠ 2
So none of the ordered pairs satisfies the given equation.
Hence there is no solutions for the given equation in the options.
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what is the property of 9 + (8 + 1) = (9 + 8) + 1
Answer:
associative property of addition
Step-by-step explanation:
There are various properties of mathematics.
One of these is called the associative property of addition, which states that for three numbers a, b, and c:
(a + b) + c = a + (b + c)
Basically, this means that given an addition statement, no matter if we change the order of how we solve it (solving a + b first or solving b + c first), we will still obtain the same result.
Therefore, here, it's clearly a representation of the associative property of addition, and that's the answer.
~ an aesthetics lover
Solve the system by the method of elimination.
Answer:
no solution
Step-by-step explanation:
4x+3y = 6
8x + 6y = 5
Multiply the first equation by -2
-2(4x+3y) = 6*-2
-8x -6y = -12
Add this to the second equation
-8x-6y = -12
8x + 6y = 5
---------------------
0x + 0y = -7
0 = -7
Since this is never true there is no solution
Answer:
X = 8/3, y= -14/9
Step-by-step explanation:
using elimination method:
subtract equation 1 from equation 2
8x-4x + 6y-3y = 5-6
4x+3y= -1
4x= -1-3y
divide both sides by 4
x = -1-3y÷4
substitute x = -1-3y/4 in equation 2
8(-1-3y)/4 +6y = 5
-8-24y/4+ 6y =5
-8-24y+6y/4 =5
-8-18y/4 = 5
Cross multy
-8-18y × 1 = 4×5
-8-18y = 20
collect like terms
-18y = 20+8
-18y = 28
divide both sides by-18
y = 28/-8
y = -14/9
put y = -14/9 in equation 1
4x+3(-14/9) = 6
4x-42/9 = 6
42/9 = 14/3
so, 4x=6+14/3
LCM =3
4x = 18+14/3
4x= 32/3
cross multiply
4x×3 = 32
12x = 32
divide both sides by 12
12x/12= 32/12
x = 8/3
so, x = 8/3, y = -14/9
check:
first equation:
4(8/3) + 3(-14/9)
32/3 - 14/3( 3 cancels 9 rem 3)
LCM= 3
32 - 14/3
= 18/3
= 6
Define vertical, supplementary, complementary, and adjacent angles
The diameter, D, of a sphere is 15.2m. Calculate the sphere's volume, V.
what is tan 30*? picture below
Answer:
C
Step-by-step explanation:
Tan = opposite / adjacent
= 1 / √3
= √3 / 3
Answer:
C.
Step-by-step explanation:
Tangent= opposite over adjacent.
Tangent = 1/√3
Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes. Emma has already run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min) 70 greater-than 7 minus 55 70 less-than t minus 55 70 less-than-or-equal-to t + 55 70 greater-than t + 55
Answer:
70>t+55
Step-by-step explanation:
The way you wrote the options were somewhat confusing.
She is looking to beat her time, so we are looking at one that is 70> because the new time must be below 70
Since she has already ran 55 minutes, we're looking at her remaining time she still has to run for
We could suppose t is the remaining time left, so 70>t+55
Answer:
D
Step-by-step explanation:
70>t+55 /edge.