The measure of many of the other angles shown in the circle is: measure of ∠ADB=29°.
Measure of angle ADBGiven:
∠CAD=58°
Hence:
∠BAD=180°-58°
∠BAD=122°
Since ∠ABD is isosceles, thus:
∠ADB-∠ABD
180°-122°=58°
2∠ADB=58°/2
∠ADB=29°
Therefore the measure of many of the other angles shown in the circle is: measure of ∠ADB=29°.
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-56 divided by -8 find the quotient
Answer:
7
Step-by-step explanation:
We can see that we have a negative number divided by a negative number, so the negatives cancel each other out.
[tex]56\div8[/tex]
We know that 8 will go into 56 7 times, so [tex]-56\div-8=7[/tex].
Hope this helped!
Answer:
7
Step-by-step explanation:
Add this matrix to find the answer.
Answer:
[tex]\huge\boxed{Option \ 2:\left[\begin{array}{ccc}6&1\\1&5\end{array}\right]}[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&0\\-1&3\end{array}\right] +\left[\begin{array}{ccc}5&1\\2&2\end{array}\right][/tex]
Adding both the corresponding elements
[tex]\left[\begin{array}{ccc}1+5&0+1\\-1+2&3+2\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}6&1\\1&5\end{array}\right][/tex]
Elena I drink 3 Liters water yesterday do you drink 3/4 Times as much water as a Lena Raine drink twice as much water as Jada Jada drink more little or less water than a Lena explain how you know
Answer:
less water
Step-by-step explanation:
Elena has drank 3 liters
and you drank 3/4 times so multiply it
3/4*3/4=9/16
3 is more than 9/16
Answer:
lesser water
Step-by-step explanation:
3 is 3 wholes.
9/16 is less than 1...
can i please have help please?? Is 32,120 equal to 3.212×10 to the 4 power?
Answer:
Yes
Step-by-step explanation:
3.212 x 10^4
=> 3.212 x 10000
=> 32.12 x 1000
=> 321.2 x 100
=> 3212 x 10
=> 32120 x 1
=> 32120
Answer:
Yes
Step-by-step explanation:
In scientific notation, the power is the number of times you move the decimal place to the right.
3.212 x 10^4 is equivalent to 32,120 when you move the decimal place 4 times to the right.
So, 32,120 is equivalent to 3.212 x 10^4
if AD is the altitude to BC what is the slope of AD
Answer:
The answer is most likely 1/3
The correct option D. 3. The slope of AD, where A is (-2, 4), B is (-6, 2), and C is (3, -1), is 1/3 using the slope formula.
Given points :
[tex]A(-2, 4)\\B(-6, 2)\\C(3, -1)[/tex]
To find the slope of AD, to determine the slope of the line passing through points A and D.
Calculate the slope of the line passing through points A and D using the formula:
slope [tex]= (y_2 - y_1) / (x_2 - x_1).[/tex]
First, let's find the slope of BC using the coordinates of points B and C:
Slope of BC [tex]= (y_2- y_1 / (x_2- x_1)\\[/tex]
Plugging the coordinates of points B and C gives:
[tex]= (-1 - 2) / (3 - (-6))[/tex]
On adding gives:
[tex]= (-3) / (9)[/tex]
On dividing both numerator and denominator by 3
[tex]= -1/3[/tex]
Since A is the altitude to BC, it is perpendicular to BC.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of that line.
Therefore, the slope of AD will be the negative reciprocal of -1/3.
Negative reciprocal of -1/3 = -1 / (-1/3) = 3
Hence, the slope of AD is 3. The option is D. 3
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0.58333333333 as a whole number
7/12
Step-by-step explanation:
let x=0.583333..
multiply by powers of 10 to get repeated 3's only on the rights for two different multiples of x
1000x= 583.33
100x=58.33
50x= 525/900
=25x21/25x36
=21/36
=7/12
Ikyume is 62m away from Amadi, on a bearing of 012°. Becky is 42m away from Ikyume and on bearing of 082°. How far is Amadi from Becky, and on what bearing?
Answer:
Amadi is 86m far from Becky
Amadi is on the bearing of 78° .
Step-by-step explanation:
From the information given ,
let I represent Ikyume
A represent Amadi and B represent Becky
From the information in the diagrammatic expression shown below:
Using cosine rule;
i² = a² + b² - 2ab cos (I)
i² = 42² + 62² - 2(42×62) cos (110°)
i² = 1764 + 3844 - 5208 (- 0.342)
i² = 1764 + 3844 - ( - 1781.136)
i² = 1764 + 3844 + 1781.136
i² = 7389.136
i = [tex]\mathtt{\sqrt{7389.136}}[/tex]
i = 85.96
i [tex]\simeq[/tex] 86 m
Amadi is 86m far from Becky
From point I , 12° = 12° at point A (alternate angles)
In that quadrant = 90 - 12° = 78°
Therefore, Amadi is on the bearing of 78° .
In the second raffle, winning tickets are prime numbers. Click on the winning tickets. 11 71 66 18 22 15 19 49 60 9 75 1 45 88 67 72 30 16 99 43
Answer:
11, 71, 19, 67, 43.
Step-by-step explanation:
Before an algebraic fraction is selected as a final answer what should you always check?
That the power of the numerator is greater than the denominator.
That the coefficients of the denominator are greater than those in the numerator.
That the variables are all written in alphabetical order.
That the fractions are reduced with all common factors canceled.
Answer:
That the fractions are reduced with all common factors canceled.
Step-by-step explanation:
Hello,
Before an algebraic fraction is selected I should that the fractions are reduced with all common factors cancelled so that I got the irreducible fraction.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
A number is three times another number. The difference of these two numbers is 10. Find these number.
Answer:
5,15
Step-by-step explanation:
let the numbers be x and y
but y = 3x
3x - x = 10
2x = 10
x = 5
Answer:
[tex]\Large \boxed{\sf 15 \ and \ 5}[/tex]
Step-by-step explanation:
Let the first number be x.
Let the second number be y.
x is 3 times y.
Difference of x and y is 10.
[tex]x=3y[/tex]
[tex]x-y=10[/tex]
Put x as 3y in the second equation.
[tex]3y-y=10[/tex]
Combine like terms.
[tex]2y=10[/tex]
Divide both sides by 2.
[tex]y=5[/tex]
Plug y as 5 in the first equation.
[tex]x=3(5)[/tex]
Multiply.
[tex]x=15[/tex]
The two numbers are 15 and 5.
If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation?
Answer:
f(x) = 3x - 14
Step-by-step explanation:
note that y = f(x), thus rearrange the equation making y the subject.
Given
y - 3x = - 14 ( add 3x to both sides )
y = 3x - 14 , that is
f(x) = 3x - 14 ← in functional notation
Ricky went to buy stationary to New Paper Mart. He found missing data in the bill as shown below. Find the values of A, B, C and D and complete the bill.
Answer:
The value of A = 36
The value of B = 42
The value of C = 30
The value of D = 12
Step-by-step explanation:
A= $6 x 6= 36
B= 336 ÷ 8= 42
C= $15 x 2= 30
D= 24 ÷ $2= 12
Find complete question in the attachment
how many are 3 raised to 3 ???
Answer:
27
Step-by-step explanation:
3^3 = 3 x 3 x 3 = 27
HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?
Answer:
33
Step-by-step explanation:
For every 5 squares, two are red and three are green. So 3/5 of the squares are green.
3/5x55=33
if S( 1, 2, 3, 4, 5,6 ) find the probability that a number chosen is more than 4
[tex]|\Omega|=6\\|A|=2\\\\P(A)=\dfrac{2}{6}=\dfrac{1}{3}[/tex]
Answer:
1/3
Step-by-step explanation:
The list of sample space's elements: {1, 2, 3, 4, 5, 6}
The number of elements in sample space: 6
The list of elements belonged to the event "choosing the number larger than 4": {5, 6}
The number of elements in the event: 2
Hence, the probability of event "choosing a number larger than 4":
P = number of event's elements/number of sample space's elements
= 2/6
= 1/3
Helpppp pleaseee!!! Thank you
plz hurry thank you!
Greetings from Brasil...
According to the properties of the radiation:
X^(a/b) = [tex]\sqrt[b]{X^a}[/tex]
So
X^(2/3) = [tex]\sqrt[3]{X^2}[/tex]
And
Y^(-3/4) = 1/Y^(3/4)
so 1/Y^(-3/4) = Y^(3/4) = [tex]\sqrt[4]{Y^3}[/tex]
Then we get
[tex]\sqrt[2]{X^3} .\sqrt[4]{Y^3}[/tex]
Ahmad has some files.
زرا
He gave
of the files and had 14 files left.
5
How many files did he have at first?
Step-by-step explanation:
why did u add the 5 in the question?.
plz answer this asap
Answer:
50%
Step-by-step explanation:
PLEASE ANSWER QUICKLY ASAP
READ QUESTIONS CAREFULLY
Answer:
see details below
Step-by-step explanation:
a) week 1 : #10" / (#10"+#12") = 509 / 736 = 69% (to nearest percent)
b) week 2 : #10" / (#10"+#12") = 766 / 1076 = 383/538 = 71% (to nearest percent)
A).69% for week 1
B)71% for week 2
Given the function f(x) = x + 7 What would the input have to be so that f(x) = 15?
I really need help with question.
Step-by-step explanation:
[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]
in this we have given the value of f(x) = 15
[tex]f(x) = x + 7[/tex]
[tex]f(15) = 15 + 7[/tex]
[tex]f(15) = 22[/tex]
so this is ur answer
hope it helps .
Please answer this question now
Answer:
x² + (y - 2)² = 144
Step-by-step explanation:
Standard equation of a circle is given by,
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle and 'r' is the radius.
If the center of the circle is (0, -2) and radius 'r' = 12 units
Equation of the circle will be,
(x - 0)² + (y + 2)² = (12)²
x² + (y - 2)² = 144
Therefore, equation of the circle will be,
x² + (y - 2)² = 144
11,9,7,5,3,1,
B) Common Difference:
Recursive Function:
D) Explicit
Function:
Answer:
The terms 11, 9, 7, 5, 3, 1 have a common difference of -2 therefore, the correct option defining the relationship between the terms is
B) Common difference
Step-by-step explanation:
The common difference between a series of numbers is found by subtracting a number from the next number following and a common difference exists when the difference between successive adjacent number pairs is the same
A sequence that has a common difference is an arithmetic sequence or arithmetic projection.
The given sequence, 11, 9, 7, 5, 3, 1, is an arithmetic sequence.
I REALLY NEED HELP WITH THESE 5 QUESTIONS!!!!!!!!!
Answer:
is -5,-3
Step-by-step explanation:
set up the tablet and done
Plz Hurry! Find the equivalent for -(3)^-4.
Answer:
-1 ( 1/3*1/3*1/3*1/3)
Step-by-step explanation:
-(3)^-4
The exponent is only affecting what is inside the parentheses
-1 * (3) ^-4
We know that a^-b = 1/a^b
-1 * 1/3^4
-1/3^4
-1 ( 1/3*1/3*1/3*1/3)
Does anyone know this
=================================================
Explanation:
The graph goes on forever to the left and right. This means any real number x can be plugged into the function to get some output y. The domain is the set of all real numbers. In interval notation, we would say [tex](-\infty, \infty)[/tex] which is another way of saying [tex]-\infty < x < \infty[/tex]
The range is y > -100 because the exponential graph steadily approaches this horizontal asymptote. Think of it like an electric fence you cannot touch. Since we never actually get to this y value, this means y = -100 is not part of the range. Your teacher made a typo when they wrote [tex]y \ge -100[/tex] and instead they should have written [tex]y > -100[/tex]. So basically y can be anything larger than -100. The graph may look like it eventually reaches y = -100 itself, but it's actually just getting closer and closer to this y value. To write the range in interval notation, we would say [tex](-100, \infty)[/tex]
This function is exponential because it has the general shape all exponential growth functions do. We have a fairly flat part with very slow growth at first, but then as time goes on, the growth rate increases dramatically resulting in the very steep curve.
Quartic polynomials are 4th degree polynomials. They have the same end behavior as quadratic functions do, since both are even degree polynomials. We don't have a quartic here because the left end behavior isn't going off to positive infinity as the right end behavior is.
3) Find f(3) for the function below.
f(x) = 2x² – 3x
Answer:
9
Step-by-step explanation:
f(x) = 2x² – 3x
Let x=3
f(3) = 2 * 3^2 - 3*3
= 2 *9 - 9
= 18-9
= 9
Answer:
f(3) = 9Step-by-step explanation:
[tex]f(x) = 2x^2 -3x\\ f(3) = ?\\\\ f(3) = 2(3)^2 -3(3)\\ f(3) = 2(9) - 9\\ f(3) = 18- 9\\ f(3) = 9[/tex]
¿Cuál es el área de un rectángulo, sabiendo que su perímetro mide 24 cm y que su base es el triple de su altura?
Answer:
El área del rectángulo es:
27 cm²
Step-by-step explanation:
Consideración:
La formula del perímetro de un rectángulo es:
p = 2(altura + base)
Planteamiento:
24 = 2(a+b)
b = 3a
a = longitud de la altura del rectángulo
b = longitud de la base del rectángulo
Desarrollo:
sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:
24 = 2(a + 3a)
24/2 = 4a
12 = 4a
a = 12/4
a = 3 cm
de la segunda ecuación del planteamiento:
b = 3a
b = 3*3
b = 9 cm
Comprobación:
de la primer ecuación del planteamiento:
24 = 2(3+9)
24 = 2*12
Respuesta:
la formula del área de un rectángulo es:
A = base * altura
A = 9cn * 3cm
A = 27cm²
The Area of rectangle is 27 unit².
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Perimeter = 24 cm
let the height of rectangle be x.
then the base= 3x
Now, Perimeter of rectangle= 2 ( l + w)
24 = 2( x+ 3x)
12 = 4x
x= 12/4
x= 3 units
So, length= 9 units and width= 3 units
Thus, Area of Rectangle= l x w
= 9 x 3
= 27 unit²
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The translated Question is:
What is the area of a rectangle, knowing that its perimeter measures 24 cm and that its base is three times its height?
kofi and kweku are two brothers. Kofi is older than kweku. Given that kofi's age is (5x-4) years and kweku's age is (2x+1) years.
a. write down an expression, interns of x,for how much old is Kofi than kweku.
b. if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku
Answer:
Kindly check explanation
Step-by-step explanation:
Given the details :
Kofi is older than kweku
kofi's age = (5x-4) years
kweku's age = (2x+1) years
a. write down an expression, interns of x,for how much old is Kofi than kweku
Equate the ages of Kofi and kweku
(5x - 4) = (2x + 1)
5x - 4 = 2x + 1
5x - 2x = 1 + 4
3x = 5
3x - 5
B.) if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku
Then,
(5x-4) = (2x + 1) + 10
5x - 4 = 2x + 1 + 10
5x - 2x = 1 + 10 + 4
3x = 15
x = 5
Kofi's age : 5x - 4
5(5) - 4 = 25 - 4 = 21 years
Kweku's age : (2x + 1)
2(5) + 1 = 10 + 1 = 11 years
When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?
A (-2,2)
B. (2.-2)
C. (-2,-2)
D. (2, 2)
Answer:
answer B: (2,-2)
Step-by-step explanation:
First, write the equations on top of each other:
[tex]3x+2y=2\\2x-y=6[/tex]
Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:
[tex]3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12[/tex]
Next, use elimination to find the value of "x":
[tex]3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2[/tex]
So, your x-value is 2.
Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:
[tex]2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2[/tex]
Your y-value is -2.
With all your information gathered, you find that the solution to this system of equation is (2,-2).