Answers
The secant in the given figure is:
CD
Step-by-step explanation:We know that in geometry a secant is a line that intersect the circle or any curve in atleast two distinct points.
Here we have a curve as a circle.
Hence, the secant is: CD
( Also MH is not a secant since it does not intersect the curve at any point.
Also CT is not a secant because it is not a line, it is a line segment although it intersect the curve at two distinct points )
Related Questions
Identify the polynomial written in ascending order. (1 point) 8x3+ 2x2− 6x − 11 2x2− 11 + 8x3− 6x −6x + 8x3− 11 + 2x2 −11 − 6x + 2x2+ 8x3
Answers
The polynomial which is written in ascending order is:
[tex]-11-6x+2x^2+8x^3[/tex]
Step-by-step explanation:To write the polynomial in ascending order means to write it in the increasing powers of x.
Here the polynomial which is written in ascending order is:
[tex]-11-6x+2x^2+8x^3[/tex]
because the first term i.e. -11 is a term with power 0 of x.The second term i.e. -6x is a term with power 1 of x.The third term i.e. 2x² is a term with power 2 of x.The last term i.e. 8x³ is a term with power 3 of x.busses run every 9 minutes starting at 6:00 am. you get to the bus stop at 7:16 am. how long will you wait for the bus
Answers
Lines that form the outer edge of a three-dimensional shape and suggest its volume are called
Answers
Identify the property demonstrated.
4(3 + 5) = 4 • 3 + 4 • 5
Answers
4(3+5) : 12+20 : 32=(4)3+(4)5
^
distribution
The distributive property demonstrated.
4(3 + 5) = 4 • 3 + 4 • 5
What is distributive property?This property states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend by the number separately and then adding the results together.
Given:
Expression,
4(3 + 5) = 4 • 3 + 4 • 5
Here,
we take LHS,
4(3 + 5)
= 4 x 3 + 4 x 5
= 12 + 20
= 32
We take RHS,
4 • 3 + 4 • 5
= 12 + 20
32.
So, this property is distributive property.
To learn more about the distributive property;
https://brainly.com/question/6276874;
#SPJ2
What are the zeros of f left parenthesis x right parenthesis equals x cubed minus 57 x plus 56 ?
Answers
Regroup to factor it: f(x)=x^3-x-56x-56=(x^3-x)-(56x+56)
f(x)=x(x^2-1)-56(x+1)
f(x)=x(x+1)(x-1)-56(x+1)
f(x)=(x-1)[x(x+1)-56] =(x-1)(x^2+x-56)=(x-1)(x+8)(x-7)
the zeros are the values of x when f(x)=o
(x-1)(x+8)(x-7)=0
x=1, -8, 7
I need help pleasss
Rammy has $9.60 to spend on some peaches and a gallon of milk. Peaches cost $1.20 per pound, and a gallon of milk costs $3.60.
The inequality 1.20x + 3.60 ≤ 9.60 models this situation, where x is the number of pounds of peaches.
Solve the inequality. How many pounds of peaches can Rammy buy?
A. x ≥ 8; Rammy can buy 8 pounds or more of peaches.
B. x ≤ 5; Rammy can buy 5 pounds or less of peaches.
C. x ≥ 5; Rammy can buy 5 pounds or more of peaches.
D. x ≤ 8; Rammy can buy 8 pounds or less of peaches.
Answers
Rammy can buy 5 pounds or less of peaches that is x ≤ 5. Then the correct option is B.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Rammy has $9.60 to spend on some peaches and a gallon of milk. Peaches cost $1.20 per pound, and a gallon of milk costs $3.60.
The inequality 1.20x + 3.60 ≤ 9.60 models this situation, where x is the number of pounds of peaches.
Then the number of pounds of peaches can Rammy buy will be
1.20x + 3.60 ≤ 9.60
1.20x ≤ 6
x ≤ 5
Rammy can buy 5 pounds or less of peaches that is x ≤ 5. Then the correct option is B.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
For women at hartford college, times to run 400 meters are normally distributed with a mean of 84 seconds and a standard deviation of 7 seconds. what percentage of the times are more than 91 seconds? more than 63 seconds?
Answers
z=(63-84)/3= -21/7= -3
P(x>63)=p(z > -3) = .9987 or 99.87%
Approximately 84.13% of times are more than 91 seconds, and approximately 0.13% of times are more than 63 seconds.
To find the percentage of times that are more than 91 seconds and more than 63 seconds, we can use the properties of a normal distribution and the standard normal distribution table (also known as the z-table).
Given:
Mean (μ) = 84 seconds
Standard deviation (σ) = 7 seconds
1. Probability of times more than 91 seconds:
First, we need to find the z-score for the value 91 seconds:
[tex]\(z = \frac{X - \mu}{\sigma} = \frac{91 - 84}{7} = \frac{7}{7} = 1\)[/tex]
Now, using the z-table, find the area under the standard normal curve to the right of [tex]\(z = 1\)[/tex]. The z-table provides the percentage of values below a given z-score, so we need to find the complement (1 - percentage) to get the percentage of values above [tex]\(z = 1\).[/tex]
From the z-table, the area to the right of [tex]\(z = 1\)[/tex] is approximately 0.1587.
So, the percentage of times more than 91 seconds is [tex]\(1 - 0.1587 = 0.8413\)[/tex] or 84.13%.
2. Probability of times more than 63 seconds:
Similarly, we need to find the z-score for the value 63 seconds:
[tex]\(z = \frac{X - \mu}{\sigma} = \frac{63 - 84}{7} = \frac{-21}{7} = -3\)[/tex]
Now, using the z-table, find the area under the standard normal curve to the right of [tex]\(z = -3\)[/tex]. Again, we need to find the complement to get the percentage of values above [tex]\(z = -3\).[/tex]
From the z-table, the area to the right of [tex]\(z = -3\)[/tex] is approximately 0.9987.
So, the percentage of times more than 63 seconds is [tex]\(1 - 0.9987 = 0.0013\)[/tex] or 0.13%.
Therefore, approximately 84.13% of times are more than 91 seconds, and approximately 0.13% of times are more than 63 seconds.
To know more about time:
https://brainly.com/question/13932039
#SPJ2
Which point on the graph represents the y-intercept?
V
W
Y
Z
Answers
What is 0.9 x 10 power of negative 2 in scientific notation
Answers
This gives us 9.0
But now we must deal with the exponents
Because we are moving to the right, it will be another negative.
This gives us 9.0x10 to the negative 3rd
ANSWER 9.0x10 to the negative 3rd
F. one die is rolled 3 times. what is the chance of getting no 2's?
Answers
m∠WYX = (4x − 8)° and m∠WYZ = 10x°. If ∠WYX and ∠WYZ are complementary, find the measure of each angle.
Answers
WYX = 20 degrees
WYZ = 70 degrees
Answer:
[tex]m\angle WYX=20^{\circ}[/tex]
[tex]m\angle WYZ=70^{\circ}[/tex]
Step-by-step explanation:
We have been given that [tex]m\angle WYX=(4x-8)^{\circ}[/tex] and [tex]m\angle WYZ=(10x)^{\circ}[/tex].
Since ∠WYX and ∠WYZ are complementary, so they will add up-to 90 degrees.
[tex]m\angle WYZ+m\angle WYX=90^{\circ}[/tex]
Substitute the given values:
[tex]4x-8+10x=90[/tex]
Combine like terms:
[tex]14x-8=90[/tex]
[tex]14x-8+8=90+8[/tex]
[tex]14x=98[/tex]
[tex]\frac{14x}{14}=\frac{98}{14}[/tex]
[tex]x=7[/tex]
Let us substitute [tex]x=7[/tex] in measure of each angle as:
[tex]m\angle WYX=(4(7)-8)^{\circ}[/tex]
[tex]m\angle WYX=(28-8)^{\circ}[/tex]
[tex]m\angle WYX=20^{\circ}[/tex]
Therefore, the measure of angle WYX is 20 degrees.
[tex]m\angle WYZ=(10x)^{\circ}[/tex]
[tex]m\angle WYZ=(10(7))^{\circ}[/tex]
[tex]m\angle WYZ=70^{\circ}[/tex]
Therefore, the measure of angle WYZ is 70 degrees.
Name the corresponding part if RST WXY.
RS =
A. WY
B. WX
C. XY
Answers
so
RS = WX
answer is
B. WX
Name the corresponding part if RST WXY.
Answer:
RS = WX
Dennis has 30 plums and 42 apricots. He wants to put the fruit in bags so that each bag has the same number of like fruit.
If Dennis wants to make baskets of fruit sells plums in bags of 12 and apricots in bags of 8, what is the minimum amount of baskets we can make if they are identical?
Please help this due tommorow for me. Thank you!
Answers
To find equal number of the fruits in the bag = HCF of 30 & 42
= 6
Each bag contains 6 fruits, So number of bags are required = [tex] \frac{30+42}{6}[/tex]
= [tex] \frac{72}{6}[/tex]
= 12 bags
Dennis wants to make baskets of fruit sells plums in bags of 12 and apricots in bags of 8
Bag 1 Contain 12 plums
Bag 2 Contains 12 plums
Bag 3 contains 6 plums
Bag 4 contains 8 apricots
Bag 5 contains 8 apricots
Bag 6 contains 8 apricots
Bag 7 contains 8 apricots
Bag 8 contains 8 apricots
Bag 9 contains 2 apricots
Therefore, 9 bags are required.
A cyclist rides her bike at a rate of 10 meters per second. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 3 hours? Do not round your answers.
Answers
EXPERTS ONLY!! Ill mark as brainlist!
Answers
Lets check our work shall we.
We need to plug in the variables.
7= 2(2) + 3
7= 4 + 3
7= 7
Lets check the other equation.
7= 5 + 2
7= 7
Both of these equations are correct so (2,7) is your answer.
I hope this helps love! :)
Write the equation of a vertical line that passes through the point (–4, 4).
A. y = 4
B. x = 4
C. y = -4
D. x = -4
Answers
so ur answer is : x = - 4
Nadia cuts 3 pieces of equal length from a 8 yards of ribbon. how long is each piece?
Answers
Each piece is approximately (2.67) yards long.
To find the length of each piece, we divide the total length of the ribbon (8 yards) by the number of pieces (3).
First, we set up the division:
[tex]\[ \frac{8 \text{ yards}}{3} \][/tex]
Now, let's perform the division:
[tex]\[ 8 \div 3 = 2 \, \text{with a remainder of } 2 \][/tex]
So, each piece is [tex]\(2 \frac{2}{3}\)[/tex] yards long.
To express the length in a mixed number (a whole number plus a fraction), we rewrite [tex]\(2 \frac{2}{3}\)[/tex] as:
[tex]\[ 2 + \frac{2}{3} \][/tex]
To convert the fraction into yards, we multiply the numerator (2) by the unit fraction [tex]\(\frac{1}{3}\)[/tex]:
[tex]\[ 2 \times \frac{1}{3} = \frac{2}{3} \][/tex]
So, each piece is [tex]\(2 \frac{2}{3}\)[/tex] yards long, or [tex]\(2\frac{2}{3}\)[/tex] yards.
Alternatively, in decimal form:
[tex]\[ 2 \frac{2}{3} \text{ yards} = 2.666... \text{ yards} \][/tex]
So, each piece is approximately (2.67) yards long.
A pizza shop makes a profit of $1.50 for each small pizza and $2.15 for each large pizza. On a typical Friday, it sells between 70 and 90 small pizzas and between 100 and 140 large pizzas. The shop can make no more than 210 pizzas in a day. How many of each size pizza must be sold in order to maximize profit?
Answers
The pizza shop should sell 70 small pizzas and 140 large pizzas to maximize profit.
What is a linear equation in two variables?A linear equation in two variables is an algebraic equation of degree one in two variables generally in x and y.
As there is no condition for how much time is required to make one small and one large pizza and by making large pizza the shop makes more profit.
∴ Pizza shops should make the least amount of small pizzas in the given range which is 70 and the most amount of large pizzas in the given range which is 140.
So, the profit of the pizza shop will be = 1.50(70) + 2.15(140) dollars.
= (105 + 301) dollars.
= 406 dollars.
learn more about linear equations here :
https://brainly.com/question/24085666
#SPJ2
Find the difference.
(8 - 6i) ( -1 -3i )
a) 7 - 9i
b) 9 - 9i
c) 7 - 3i
d) 9 - 3i
Thank you!
Answers
That is, we treat i as x: we add or subtract the numbers together, and the x'es (that is the i's) together.
So we have, [tex]\displaystyle{ (8-6i)-(-1-3i)=8-6i+1+3i=9-3i[/tex]
Answer: D
Jordan works at a hair salon. He earns $9 per hour, plus 5% of any hair products he sells. If he works 20 hours a week, how much money in hair products must he sell to earn at least $250? *
Answers
The product of (-8+2i) and its conjugate is equal to
Answers
product=(-8+2i)*(-8-2i)
=64-4 i^2
=64+4=68
The conjugate of the complex number -8 + 2i is -8 -2i. By multiplying the complex number by its conjugate we get the answer 68, which corresponds to option C.
Explanation:To solve this question, we first need to know what a conjugate is. In complex numbers, if a number is represented as a + bi, its conjugate will be a - bi. The provided complex number in the question is -8 + 2i, so its conjugate would be -8 - 2i.
Next, we multiply the complex number by its conjugate. This would give us (-8 + 2i) × (-8 - 2i). Executing this multiplication based on the rule of multiplication of brackets (a+b)(a-b) = a2 - b2, we have (-8)2 - (2i)2, which results in 64 - (-4) = 68.
Therefore, the product of (-8 + 2i) and its conjugate is equal to 68, which is option C.
https://brainly.com/question/20566728
#SPJ3
How do you simplify 2√5+3√5-√5
Answers
Help finding angles 4, 3 ,2 ,5... Picture attached this time
Answers
Angle 3 = 180° - 70°
Angle 3 = 110°
Angle 2 = 180° - (110° + 36°)
Angle 2 = 180° - 146°
Angle 2 = 34°
Angle 4 = 180° - 70°
Angle 4 = 110°
Angle 5 = 180° - (110° + 62°)
Angle 5 = 180° - 172°
Angle 5 = 8°
I hope this helps.
Find the Least Common Multiple of of these two monomials:
15x^2y^8z^5 and 6x^4y^3z^9
30x^4y^8z^9
3x^2y^3z^5
3x^4y^8z^9
30x^6y^11z^14
Answers
LCM of 15 & 6 = 30
then take the highest exponent for each variable
answer is:
30x^4y^8z^9
He ratio of black socks to white socks in the sock drawer is 1:4. there are 8 black socks. how many white socks are there? white socks
Answers
Final answer:
Based on the ratio of 1:4 for black socks to white socks, and knowing there are 8 black socks, we calculate the number of white socks to be 32.
Explanation:
The question asks us to find the number of white socks when given the ratio of black socks to white socks in a drawer and the number of black socks. The ratio is 1:4, which implies for every black sock, there are 4 white socks. Since there are 8 black socks, to find the number of white socks, we multiply the number of black socks by the ratio of white socks to black socks, which would be 8 * 4 = 32. Therefore, there are 32 white socks in the drawer.
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
13.4 units
17.9 units
26.8 units
40.0 units
Answers
see the attached figure to better understand the problem
Let
x------> the length side of a rectangle
y-------> the width side of a rectangle
we know that
the perimeter of a rectangle is equal to the formula
[tex]P=2x+2y[/tex]
in this problem
[tex]AB=DC=x[/tex]
[tex]AD=BC=y[/tex]
Step 1
Find the distance AB
[tex]A(-6,4)\\B(2,8)[/tex]
we know that
the distance's formula between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}[/tex]
substitute the values
[tex]d=\sqrt{(8-4)^{2} +(2+6)^{2}}[/tex]
[tex]d=\sqrt{(4)^{2} +(8)^{2}}[/tex]
[tex]dAB=\sqrt{80}\ units[/tex]
Step 2
Find the distance BC
tex]B(2,8)\\C(4,4)[/tex]
we know that
the distance's formula between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}[/tex]
substitute the values
[tex]d=\sqrt{(4-8)^{2} +(4-2)^{2}}[/tex]
[tex]d=\sqrt{(-4)^{2} +(2)^{2}}[/tex]
[tex]dBC=\sqrt{20}\ units[/tex]
Step 3
Find the perimeter
we know that
the perimeter of a rectangle is equal to the formula
[tex]P=2x+2y[/tex]
[tex]P=2AB+2BC[/tex]
we have
[tex]dAB=\sqrt{80}\ units=8.9\ units[/tex]
[tex]dBC=\sqrt{20}\ units=4.5\ units[/tex]
substitute the values of the distance in the formula
[tex]P=2*8.9+2*4.5=26.8\ units[/tex]
therefore
the answer is
The perimeter of the rectangle is equal to [tex]26.8\ units[/tex]
IT COST 859.32 TO HAVE A SCHOOL DANCE A. HOW MANY TICKETS MUST BE SOLD TO COVER THE COST. B HOW MANY TICKETS MUST BE SOLD TO MAKE A 980.68 PROFIT
Answers
a. At least 108 tickets must be sold to cover the cost.
b. To make a $980.68 profit, 230 tickets must be sold.
To solve this problem, let's break it down step by step:
a. To cover the cost of $859.32, we need to find out how many tickets need to be sold at $8 each.
Let's denote:
C = total cost of the dance
T = number of tickets sold
P = price per ticket
Given:
C = $859.32
P = $8
We can use the formula: Cost = Number of tickets * Price per ticket
So, we have:
859.32 = T * 8
To find T, divide both sides by 8:
T = 859.32 / 8
T = 107.415
Since we can't sell a fraction of a ticket, we round up to the nearest whole number.
T = 108
Therefore, at least 108 tickets must be sold to cover the cost.
b. To make a $980.68 profit, we need to find out how many tickets must be sold.
Profit = Total Revenue - Total Cost
Profit = (Price per ticket * Number of tickets) - Total Cost
Given:
Profit = $980.68
Total Cost = $859.32
Price per ticket = $8
Let T represent the number of tickets to be sold.
So, we have:
Profit = (8 * T) - 859.32
We want to solve for T:
Profit + Total Cost = Price per ticket * Number of tickets
Profit + Total Cost = 8T
(Profit + Total Cost) / Price per ticket = T
(980.68 + 859.32) / 8 = T
1840 / 8 = T
T = 230
Therefore, to make a $980.68 profit, 230 tickets must be sold.
Complete Question:
It costs $859.32 to have a school dance. The dance is $8 per ticket.
a. How many tickets must sold to cover the cost?
b. How many tickets must be sold to make a $980.68 profit?
The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 =1/2 (x – 1). What is the slope-intercept form of the equation for this line?
y = 1/2x + 2
y = 1/2x – 4
y = 1/2x + 5/2
y =1/2x – 7/2
Answers
So the two points are (-9, -2) and (1, 3)
m = y₂ - y₁ / x₂ - x₁ = 3 - (-2) / 1 - (-9) = 5 / 10 = 1/2
I don't remember how to find the y intercept so I used a calc. The y intercept is 5/2
So the equation would be y = 1/2x + 5/2 which is C
What is the solution to 2x^2+x+2=0 ??
Answers
Answer:
[tex]x=\frac{-1+-i\sqrt{15}}{4}[/tex]
Step-by-step explanation:
[tex]2x^2+x+2=0[/tex]
Apply quadratic formula to solve for x
[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]
a=2, b= 1, c=2
Plug in the value in the quadratic formula
[tex]x=\frac{-1+-\sqrt{1^2-4(2)(2)}}{2(2)}[/tex]
[tex]x=\frac{-1+-\sqrt{-15}}{4}[/tex]
Square root of -1 is 'i'
[tex]x=\frac{-1+-i\sqrt{15}}{4}[/tex]
The solution of the given quadratic equation is,
x = [-1±i√15]/4
Hence option 3rd is correct.
The given quadratic equation is,
2x²+x+2=0
Here we can see that it is of the form of ax² + bx + c = 0.
Since we know that
The quadrature formula for ax² + bx + c = 0 is
⇒ x = [-b±√(b²- 4ac)]/2a
Here we have,
a = 2
b = 1
c = 2
Put these value in quadrature formula we get,
⇒ x = [-1±√(1²- 4x2x1)]/2x2
= [-1±√(1- 16)]/4
= [-1±√(-15)]/4
Since we know that, i = √-1
Therefore,
⇒ x = [-1±i√15]/4
To learn more about quadratic equation visit:
https://brainly.com/question/30098550
#SPJ6
What is the value of g?
−5+7g=3g+9 Please, i need this answer ASAP, Thanks.
Answers
I got this by simplifying like terms, which in this case you can start by adding five to both sides to get -
7g = 3g +14
You can then subtract 3g from both sides -
4g = 14
and finally you just divide both sides by 4 to get g by itself. This leaves you with -
g = 3.5
the answer to your question is g=3 1/2