Answer:
D : x² + y² = 64
Step-by-step explanation:
x² + y² = 8²
x² + y² = 64
therefore, your answer is 64
Answer:
D
Step-by-step explanation:
The circle equation is (x-h)² + (x-k)² = r²
Where (h,k) is the center of the circle and r is the radius
Since the center of this circle is at the origin and the radius is 8,
the equation will be x² + y² = 64
Pls answer i will mark as branliest
Answer:
A) Corresponding Angles Theorem (They correspond to each other)
B) If <XBC = 55 Then <XCB = 55
(Because they both are opposite to equal sides)
Now, Finding <BXC:
=> <BXC = 180-55-55 (Angles of a triangle add up to 180 degrees)
=> <BXC = 70 degrees
Solve the problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. In isosceles triangle ∆ABC, BM is the median to the base AC . Point D is on BM . Prove the following triangle congruencies: b ∆AMD ≅ ∆CMD △ AM D≅△CMD by rule ______
Answer:
ΔAMD ≅ ΔCMD by Side Side Side (SSS) congruency rule
Step-by-step explanation:
Given that ΔABC is an isosceles triangle, with [tex]\overline{BA}[/tex] ≅ [tex]\overline{BC}[/tex]
With BM as the median line from B to AC, we have;
∠ABM = ∠CBM
Also we have;
[tex]\overline{BD}[/tex] ≅ [tex]\overline{BD}[/tex] - Reflexive property
Therefore, ΔABD ≅ ΔCBD Side Angle Side SAS condition of congruency
Therefore;
[tex]\overline{AD}[/tex] ≅ [tex]\overline{CD}[/tex] Corresponding sides of congruent triangles are congruent CPCTC
[tex]\overline{AM}[/tex] ≅ [tex]\overline{CM}[/tex] - AC is bisected by [tex]\overline{BM}[/tex] where [tex]\overline{BM}[/tex] = Median line
[tex]\overline{DM}[/tex] ≅ [tex]\overline{DM}[/tex] - Reflexive property
Therefore, we have;
ΔAMD ≅ ΔCMD - Side Side Side (SSS) congruency rule
In a lottery, the top cash prize was $693 million, going to three lucky winners. Players pick four different numbers from 1 to 51 and one number from 1 to 48. A player wins a minimum award of $ 400 by correctly matching two numbers drawn from the white balls (1 through 51) and matching the number on the gold ball (1 through 48). What is the probability of winning the minimum award?
Answer:
0.00054
Step-by-step explanation:
Gold ball: we have one chance of choosing the correct ball from 1 to 48, so the probability is 1/48
White balls: we will pick 4 numbers from 1 to 51, so the total possibilities of groups of numbers we can choose is a combination of 51 choose 4:
C(51, 4) = 51! / (4! * 47!) = 51*50*49*48/(4*3*2)
If we want to correctly guess two numbers, we have groups of 2 winning numbers in the 4 numbers we guess, so a combination of 4 choose 2, and we also have to incorrectly guess the other 2 winning numbers in the 47 remaining numbers we didn't choose, so a combination of 47 choose 2:
C(4, 2) = 4! / (2! * 2!) = 4*3/2 = 6
C(47, 2) = 47! / (2! * 45!) = 47*46/2
The probability of the white balls case is the two combinations above over the total number of cases (the first combination we calculated):
P = C(4, 2) * C(47, 2) / C(51, 4)
P = (6 * 47 * 46/2) / (51 * 50 * 49 * 48/(4*3*2))
P = (3 * 47 * 46 * 4 * 3 * 2) / (51 * 50 * 49 * 48) = 0.026
Then the final probability is the probability in the gold ball case times the probability in the white balls case:
P = (1/48) * (3 * 47 * 46 * 4 * 3 * 2) / (51 * 50 * 49 * 48) = 0.00054
help me answer these questions
Answer:
Page # 1:
Diameter = 14 cm
Radius = 7 cm
Area of the circle = [tex]\pi r^2[/tex]
=> (π)(7)²
=> 49π cm²
Page # 2:
Area of quarter circle = [tex]\frac{\pi r^2 }{4}[/tex]
Where r = 8 cm
=> Area = [tex]\frac{(\pi)(8)^2 }{4}[/tex]
=> Area = 16 π cm²
What is the value of x? Enter your answer in the box.
Answer:
19
Step-by-step explanation:
Since these two are vertical angles, their measure must be equal. Therefore:
[tex]3x-3=6(x-10) \\\\3x-3=6x-60 \\\\3x+57=6x \\\\3x=57 \\\\x=19^{\circ}[/tex]
Hope this helps!
Answer:
19
Step-by-step explanation:
The two angles are vertically opposite angles, so they are equal.
3x - 3 = 6 (x - 10)
3x - 3 = 6x - 60
3x - 6x = - 60 + 3
-3x = -57
x = -57/-3
x = 19
What is the measure of a 137 degree angle
Answer: 137 degrees
Step-by-step explanation:
It's in the sentences, the angle is 137 degrees
1. Definir por extensión los siguientes conjuntos: a. El conjunto de los enteros no negativos menores que cinco. b. El conjunto de los números primos entre 10 y 20. c. El conjunto de los múltiplos de 12 que son menores que 65. d. A = {x ∈ Z/ 3 < x < 12}. e. B = {x/ x es un número de un dígito}. 2. Definir por comprensión los siguientes conjuntos: a. El conjunto de los enteros mayores que diez. b. El conjunto de los enteros pares. c. El conjunto {1, 2, 3, 4, 5}. d. El conjunto de los números naturales menores que 10. e. El conjunto de los múltiplos de 2 que son menores que 15.
Answer:
Parte 1
a) {0, 1, 2, 3, 4}
b) {11, 13, 17, 19}
c) {12, 24, 36, 48, 60}
d) Conjunto A = {4, 5, 6, 7, 8, 9, 10, 11}
Conjunto B = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Parte 2
a) {x ∈ Z / x > 10}
{11, 12, 13, 14, 15, ....}
b) {x ∈ Z / 2x}
{2, 4, 6, 8, 10, 12, ....}
c) {x ∈ Z / 1 ≤ x ≤ 5}
{1, 2, 3, 4, 5}
d) {x ∈ N / x < 10}
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9} o {1, 2, 3, 4, 5, 6, 7, 8, 9}
e) {x ∈ Z / 2x < 15}
{2, 4, 6, 8, 10, 12, 14}
Step-by-step explanation:
Parte 1
a.) El conjunto de enteros no negativos menos de cinco.
Los enteros son números enteros. Los enteros no negativos son enteros positivos y 0 (0 es un entero neutral ya que es un número entero)
{0, 1, 2, 3, 4}
b.) El conjunto de números primos entre 10 y 20.
Los números primos son números divisibles por solo 1 y ellos mismos.
{11, 13, 17, 19}
c.) El conjunto de múltiplos de 12 que son menores de 65.
Los múltiplos de 12 son números que surgen cuando 12 se multiplica por números enteros.
{12, 24, 36, 48, 60}
d.) A = {x ∈ Z / 3 < x < 12}. y. B = {x / x es un número de un dígito}.
El conjunto A se refiere a todos los números enteros entre 3 y 12 (no incluido)
Conjunto A = {4, 5, 6, 7, 8, 9, 10, 11}
El conjunto B es un conjunto de todos los números de un dígito.
Conjunto B = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Parte 2
a. El conjunto de enteros mayores que diez.
El conjunto variará de 11 a infinito.
Se escribirá como {x ∈ Z / x> 10}
{11, 12, 13, 14, 15, ....}
b.) El conjunto de enteros pares.
El conjunto de enteros pares comenzará desde 2 e incluirá todos los números pares hasta el infinito.
Se escribirá como {x ∈ Z / 2x}
{2, 4, 6, 8, 10, 12, ....}
c.) El conjunto {1, 2, 3, 4, 5}.
Este es un conjunto de enteros entre 1 y 5 (inclusive)
Se escribirá como {x ∈ Z / 1 ≤ x ≤ 5}
{1, 2, 3, 4, 5}
d.) El conjunto de números naturales menores de 10.
Los números naturales son números de conteo.
Se escribirá como {x ∈ N / x < 10}
Algunos casos incluyen 0 como número natural y otros no.
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9} o {1, 2, 3, 4, 5, 6, 7, 8, 9}
e.) El conjunto de múltiplos de 2 que son menores que 15.
Se puede escribir como {x ∈ Z / 2x <15}
{2, 4, 6, 8, 10, 12, 14}
¡¡¡Espero que esto ayude!!!
In English
Part 1
a. The set of nonnegative integers less than five.
Integers are whole numbers. Non-negative integers are positive integers and 0 (0 is a neutral integer as it is a whole number)
{0, 1, 2, 3, 4}
b. The set of prime numbers between 10 and 20.
Prime numbers are numbers divisible by only 1 and themselves.
{11, 13, 17, 19}
c. The set of multiples of 12 that are less than 65.
Multiples of 12 are numbers that arise when 12 is multiplied by whole numbers.
{12, 24, 36, 48, 60}
d. A = {x ∈ Z / 3 < x < 12}. and. B = {x / x is a one-digit number}.
Set A refers to all integer numbers between 3 and 12 (non-inclusive)
Set A = {4, 5, 6, 7, 8, 9, 10, 11}
Set B is a set of all the one digit numbers.
Set B = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Part 2
a. The set of integers greater than ten.
The set will range from 11 to infinity.
It'll be written as {x ∈ Z / x > 10}
{11, 12, 13, 14, 15, ....}
b. The set of even integers.
The set of even integers will start from 2, and include all the even numbers till infinity.
It'll be written as {x ∈ Z / 2x}
{2, 4, 6, 8, 10, 12, ....}
c. The set {1, 2, 3, 4, 5}.
This is a set of integers between 1 and 5 (inclusive)
It'll be written as {x ∈ Z / 1 ≤ x ≤ 5}
{1, 2, 3, 4, 5}
d. The set of natural numbers less than 10.
Natural numbers are counting numbers.
It'll be written as {x ∈ N / x < 10}
Some cases include 0 as a natural number and some others do not.
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9} or {1, 2, 3, 4, 5, 6, 7, 8, 9}
e. The set of multiples of 2 that are less than 15.
It can written as {x ∈ Z / 2x < 15}
{2, 4, 6, 8, 10, 12, 14}
Hope this Helps!!!
If it were two hours later,it would be half as long until midnight as it would be if it were an hour later. what time is it now. please could you help me with this as soon as possible.
Answer:
its 10 am I think
Step-by-step explanation:
it says 2 hours until midnight. 12 - 2 = 10
Answer:
its 10 am
Step-by-step explanation:
12 - 2 = 10
binomial numbers, Stifel
Answer:
binomiales, números combinatorios o combinaciones son números estudiados en combinatoria que corresponden al número
Step-by-step explanation:
How many cubes are needed to build this figure?
Answer:
3 cubes are needed are needed to build the figure
Your lawn mower mows a lawn in 1.5 hours. When your friend's lawn mower is used together with your lawn mower, the lawn is mowed in 0.5 hours. How long (in hours) does it take your friend's mower to mow the lawn when working alone?
Answer:
My friend's mower will take approximately 0.75 h to mow the lawn alone.
Step-by-step explanation:
To solve this problem we can use the idea of average speed and apply to this problem, using the appropriate formula shown below:
[tex]speed = \frac{distance}{time}[/tex]
Where each lawn mower has a speed at which they can mown, the distance is the lawn they're mowing and the time is how long they will take to do it. In the case where my equipment is working alone, its speed "x" can be modeled as below:
[tex]x = \frac{lawn}{1.5}[/tex]
When my friend's mower does the job, its speed "y" can be seen as:
[tex]y = \frac{lawn}{time}[/tex]
When both work together the speed can be seen as:
[tex]x + y = \frac{lawn}{0.5}[/tex]
Applying the first two equations on the second, gives us:
[tex]\frac{lawn}{1.5} + \frac{lawn}{time} = \frac{lawn}{0.5}\\\frac{1}{time} = \frac{1}{0.5} - \frac{1}{1.5}\\\frac{1}{time} = 2 - 0.667\\\frac{1}{time} = 1.333\\1.333*time = 1\\time = \frac{1}{1.333} = 0.75[/tex]
My friend's mower will take approximately 0.75 h to mow the lawn alone.
Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be twelve feet long.
Answer:
3s+15
Step-by-step explanation:
let 's' be the length of the shortest side
-> twice as long as the length of the shortest side =2s
->length of the longest side to be three more than twice as long as the length of the shortest side = 2s + 3
-> the third side= 12 feet
p = s + 12 + 2s+3
p= 3s+15
___rational numbers are real numbers. 1.) All 2.) Some 3.) No
Answer:
All
Step-by-step explanation:
Rational numbers are numbers that are/can written as fraction form and have terminating decimals (or repeating decimals that can be written as fractions). They also aren't imaginary numbers.
Answer:
There aren't fake or imaginary numbers so all rational numbers are real numbers. Rational numbers are a fraction or repeating decimal or an infinite digit number.
Step-by-step explanation:
What is the standard form for the quadratic function? f(x)=(x−3)2+5 f(x)=x2−4
f(x)=x2+14
f(x)=x2−6x+14
f(x)=x2+6x−4
Answer:
x^2-6x + 14
Step-by-step explanation:
Here, we want to
write the standard form of the quadratic equation in the question.
This can be written by expanding the bracket.
F(x) = (x-3)^2 +5
F(x) = (x-3)(x-3) + 5
F(x) = x(x-3)-3(x-3) +5
F(x) = x^2 -3x-3x + 9 + 5 = x^2-6x + 14
If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.
Triangle DEF is an obtuse triangle.
The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle,
The angle at vertex D is obtuse.
Answer:
The angle at vertex D is acute
Triangle DEF is a right triangle
Step-by-step explanation:
Acute means that the angle is smaller that 90degrees
Correct statement are,
The angle at vertex D is acute.
And, Triangle DEF is a right triangle,
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
We have to given that;
Triangle DEF has a 90° angle at vertex E.
Since, In triangle DEF,
vertex E has 90 degree.
So, Possible value of angle E and F are less than 90 degree
Hence, The angle at vertex D is acute.
And, Triangle DEF is a right triangle,
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ5
Expand and simplify . 2xy(5y-3x)-6xy(4y-2x) PLEASE HELP. BEST ANSWER RECIEVES A BRIANLIEST
Answer:
-14xy^2+6x^2y
Step-by-step explanation:
Hope this helps at least
Answer:-14xy^(2)+6x^(2)y
Hi can you help me with this question
Answer:
68 m²
Step-by-step explanation:
The area of the lawn is calculated as
area of garden - area of flower bed - area of vegetable patch
Calculating the area of each
area of rectangular garden = 14 × 10 = 140 m²
area of flower bed = [tex]\frac{1}{2}[/tex] × 3 × 8 = 12 m²
area of vegetable patch = [tex]\frac{1}{2}[/tex] × 10 × (5 + 7) = 5 × 12 = 60 m²
Thus
area of lawn = 140 - 12 - 60 = 68 m²
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.
9514 1404 393
Answer:
£170,000
Step-by-step explanation:
Bianca bought the house for 1 +20% = 1.2 times Rafik's purchase price. She sold it for 1 -5% = 0.95 times what she bought it for. So, we have ...
(Rafik's purchase price)×1.2×0.95 = £193800
Rafik's purchase price = £193,800/(1.2×0.95) = £170,000
Rafik bought the house for £170,000.
Figure ABCD is a parallelogram.
What is the value of n?
3
5
17
25
Answer:
n is equal to 17 if you want you can plug the number to both equation and try to see if both are equal if they are equal that means you did it right
Answer:
n = 17
Step-by-step explanation:
The opposite angles of a Parallelogram are equal.
So,
4n-2 = 2n+32
4n-2n = 32+2
2n = 34
Dividing both sides by 2
n = 17
Can someone make sure that I’m right I don’t know I think I’m wrong but I don’t know so can you help me
Answer:
2 sqrt(5)
Step-by-step explanation:
To find the geometric mean to two numbers
sqrt( x*y)
sqrt( 5*4)
sqrt(5) * sqrt(4)
2 sqrt(5)
Use a= √a b= √5 c= √10
to work out the value of ac/b
Give your answer in its simplest form.
Answer:
a = √a b = √5 c = √10
ac/b = (√a)(√10)/√5
= √ 10 × a /√5
= √10a / √5
Rationalize the surd
√10a ×√5/(√5)²
= √50a /5
= 5√2a/ 5
= √2a
The final answer is √2a
Hope this helps
-67/50 + 1.5 - 100% =
Need help!
Answer:
-0.84
Step-by-step explanation:
hope ths helps i did the test btw :)
(05.06) coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below? (2 points) 2x + y 8
Answer: I'm not sure if this is right but I believe its point E, F, G, J
Step-by-step explanation:
Don't use this without getting confirmation I don't want to trip anyone up!
Answer: EFG is correct
Step-by-step explanation:
I did the quiz
suppose f(x)=x^2-4.Find the graph of f(3x)
Answer:
3(x²-4) or 3x²-12
Step-by-step explanation:
x²-4 times 3 is equal to 3x-12 which is also 3(x²-12)
Which of these sequences is a geometric sequence?
Answer:
The answer is option d.
Hope this helps you.
Answer:
D
3,9,27,81,243,729
Step-by-step explanation:
A local volunteer group is planning a family picnic. They ordered 175 hot dogs and
275 hamburgers. If they are planning for each person at the picnic to have one item
to eat, how many people will be attending?
Answer:
450 people
Step-by-step explanation:
Find the area of a circle with diameter 10cm use the value 3.14
Answer:
78.5 cm
Step-by-step explanation:
The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.
Answer:
78.5 cm^2[tex]solution \\ diameter = 10 \: cm \\ radius = \frac{10}{2} = 5 \: cm \\ area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {5}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 5 \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 25 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78.5 {cm}^{2} [/tex]
hope this helps...
Good luck on your assignment...
You have a 90% as your grade and on your final you get 80%. Your current grade is 20%of your grade and your final is 80% of your grade. What percent for your grade would you get in the end?
Answer:
82%
Step-by-step explanation:
(20×90+80×80) / (20+80) = 8200 / 100 = 82.00
Which statement is NOT true?
Answer:
A, a rhombus has all the properties of a square.
Step-by-step explanation:
Not all quadrilaterals will be the same
I NEED HELP ASAP Which equation is equivalent to: −10r−6=115
A. 10r=−115+6
B. −10r=115+6
C. −10r=115−6
D. 10r=115−6