Quadrilateral ABCD is inscribed in this circle. What is the measure of angle a?
Answer:
Step-by-step explanation:
The rule is that opposite angles are supplementary. Therefore, angle A plus angle C = 180:
angle A + 43 = 180 and
angle A = 180 - 43 so
angle A = 137
what does
4(x+2)=2x+10
equal?
Answer:
x=9
Step-by-step explanation:
4(x-2)=2x+10
<=> 4x-8=2x+10
<=> 2x=18
<=>x=9
Answer:
x=3 the explanation is above
i need help with this question pls! :)
Hi there!
[tex]\large\boxed{\text{9 quarters}}[/tex]
We can let x = dimes and y = quarters.
We know that one dime = $0.10 and a quarter = $0.25, so:
$3.05 = $0.10x + $0.25y
And:
17 = x + y
Solve the system of equations. We can rearrange the bottom equation to create an expression equal to y:
17 - x = y
Substitute this into the top equation for y:
3.05 = 0.10x + 0.25(17 - x)
Distribute and simplify:
3.05 = 0.10x + 4.25 - 0.25x
3.05 = 4.25 - 0.15x
Solve for x:
-1.2 = -0.15x
x = 8
Find y using the above expression:
17 - 8 = y
y = 9
i need help plzzzz!!!!!
Step-by-step explanation:
x+2>7
x>7-2
x>5
2x+5>_ 15
2x>_ 15-5
2x>_ 10
2x/2>_ 10/2
x>_5
What is the solution to this inequality?
-16x>-80
A. x < 5
O B. x>-5
O c. x<-5
O D. x>5
Answer:
A
Step-by-step explanation:
Divide both sides with -16. ALWAYS remember that if you divide any number with a negative number, this "< ≤ > ≥" symbols have to change to the opposite direction
Hey can anyone help me with this question
Find Missing Angle
Instructions: Find the measure of the indicated angle to the nearest degree.
27
28
?
II
Answer:
75 degrees
Step-by-step explanation:
Use trigonometry
we are given opposite(27) and hypotenuse(28), so use sin
sin=opp/hyp
sin(x)=27/28
x=arcsin(27/28)
x=74.64111442
Which is not an equivalent expression
Select all the expressions equivalent to 2(x + 3)
2(x + 3) = 2x + 6
1. Correct - 2 * (x + 3) = 2x + 6
2. Correct - (x + 3)2 = 2x + 6
3. Correct - 2x + 6
4. Incorrect - 2x + 3
5. Incorrect - 2x + 3
6. Incorrect - 3x + 6
Hope this helps!
Height is 2ft. More than its width. If the total area is 99ft squared , determine the dimensions of the painting.
Answer: [tex]9\times 11\ ft^2[/tex]
Step-by-step explanation:
Given
Height is [tex]2\ ft[/tex] more than its width
Suppose the width is [tex]x[/tex]. So, height becomes [tex]x+2[/tex]
Area of the painting is [tex]99\ ft^2[/tex]
Area is the product of width and height
[tex]\therefore 99=x(x+2)\\\Rightarrow 99=x^2+2x\\\Rightarrow x^2+2x-99=0\\\Rightarrow x^2+11x-9x-99=0\\\Rightarrow (x+11)(x-9)=0\\\Rightarrow x=-11,9[/tex]
Neglect the negative values
[tex]\text{Width =}9\ ft\\\text{height =}9+2=11\ ft[/tex]
a circular wire with radius 14 cm is cut and made straight then what will be its length?
We have to find the circumference
[tex]\\ \rm\longmapsto C=2\pi r[/tex]
[tex]\\ \rm\longmapsto C=2\dfrac{22}{7}(14)[/tex]
[tex]\\ \rm\longmapsto C=44(2)[/tex]
[tex]\\ \rm\longmapsto C=88cm[/tex]
HELP ME PLS!
i need the first 4 examples
Answer:
1) 6а-9b=3(2a-3b)
2)8a-12b=4(2a-3b)
3) 5ab-5ac=5a(b-c)
4) 6ax+6ay=6a(x+y)
Se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura. Calcular el área del cuadrado
El área del cuadrado es de 3 centímetros cuadrados.
Dado que se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura, para calcular el área del cuadrado se debe realizar el siguiente cálculo:
Radio = diámetro / 2 3 = X/2 X = 6Hipotenusa del triángulo interno: 6 cmAplicando teorema pitagórico: lado al cuadrado mas lado al cuadrado es igual a hipotenusa al cuadrado.
L^2 + L^2 = 62L^2 = 6L^2 = 6/2L = √ 3L = 1.732Área de un cuadrado = L x L = L^2 = 3Por lo tanto, el área del cuadrado es de 3 centímetros cuadrados.
Aprende más en https://brainly.com/question/16405529
El área del cuadrado es de 18 centímetros cuadrados.
El procedimiento de resolución se basa en conocer que la Medida de la Diagonal de un Cuadrado inscrito es igual a la Medida del Radio del Círculo, lo cual permite determinar el valor de la medida del Cuadrado en función del Radio del Círculo. Finalmente, determinamos el Área del Cuadrado mediante su fórmula conocida.
Dado que existe un cuadrado inscrito en un círculo, la medida de la diagonal del cuadrado es igual a la medida del radio del círculo. Además, conocemos que un cuadrado está formado por 4 triángulos rectángulos con configuración angular 45-45-90. Entonces, la medida del lado del cuadrado se calcula mediante la siguiente relación geométrica:
[tex]l = \sqrt{2}\cdot R[/tex] (1)
Donde:
[tex]R[/tex] - Radio del círculo, en centímetros.
[tex]l[/tex] - Longitud del lado del cuadrado, en centímetros.
Por otra parte, la ecuación de área del cuadrado es igual a:
[tex]A = l^{2}[/tex] (2)
Donde [tex]A[/tex] es el área del cuadrado, en centímetros cuadrados.
Si sabemos que [tex]R = 3\,cm[/tex], entonces el área del cuadrado es:
[tex]l = \sqrt{2}\cdot (3\,cm)[/tex]
[tex]l = 3\sqrt{2}\,cm[/tex]
[tex]A = (3\sqrt{2}\,cm)^{2}[/tex]
[tex]A = 18\,cm^{2}[/tex]
El área del cuadrado es de 18 centímetros cuadrados.
He aquí una pregunta relacionada sobre el área del cuadrado: https://brainly.com/question/23915250
The height h, in feet, of a projectile t seconds after launch is modeled by the equation h=32t-16t^2.
Complete question is;
The height h, in feet, of a projectile t seconds after launch is modeled by the equation h = 32t – 16t². How long after launch does the projectile return to the ground?
Answer:
2 seconds
Step-by-step explanation:
We are told that the height function is given by;
h = 32t – 16t²
Now, the velocity will be the derivative of the height equation.
Thus;
v(t) = dh/dt = 32 - 32t
Now, for projectiles, at max height, v = 0.
Thus;
32 - 32t = 0
32t = 32
t = 32/32
t = 1 s
It will take the same time it took to get to Max height as it will to get to ground from that height.
Thus, total height = 1 + 1 = 2 seconds
HURRY PLEASEEEEE!!!!!!
Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.
Answer:
24+p=t
Step-by-step explanation:
If he scored 24 points in the first half, and p in the next half, he scored a total of t points.
Which equation shows the volume of the rectangular prism as a product of its edge lengths?
Answer:
Top right option
Step-by-step explanation:
multiplying the digits, you get the volume, which is 3/4
Answered by GAUTHMATH
HELP PLEAAASEEEEE
Can someone find the domain and range of this function PLEASE
y = 2/x + 3
Answer:
The domain is the whole R-{0} and the range is R
solve the quadratic equation
give your answer to 2 decimal places
: 3x^2+x-5=0
Given:
The quadratic equation is:
[tex]3x^2+x-5=0[/tex]
To find:
The solution for the given equation rounded to 2 decimal places.
Solution:
Quadratic formula: If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have,
[tex]3x^2+x-5=0[/tex]
Here, [tex]a=3,b=1,c=-5[/tex]. Using the quadratic formula, we get
[tex]x=\dfrac{-1\pm \sqrt{1^2-4(3)(-5)}}{2(3)}[/tex]
[tex]x=\dfrac{-1\pm \sqrt{1+60}}{6}[/tex]
[tex]x=\dfrac{-1\pm \sqrt{61}}{6}[/tex]
[tex]x=\dfrac{-1\pm 7.81025}{6}[/tex]
Now,
[tex]x=\dfrac{-1+7.81025}{6}[/tex]
[tex]x=1.13504167[/tex]
[tex]x\approx 1.14[/tex]
And
[tex]x=\dfrac{-1-7.81025}{6}[/tex]
[tex]x=-1.468375[/tex]
[tex]x\approx -1.47[/tex]
Therefore, the required solutions are 1.14 and -1.47.
what is y=2x*2-6x-8 as a graph
Answer:
[tex] \bf \: y = 2 {x}^{2} - 6x - 8[/tex]
It is equation of a parabolla.
It is to be noted that the graph of y = 2x * 2-6x-8 which when simplified is y = -12x² - 12x. is attached accordingly.
What are the qualities of the graph of y = -12x² - 12x?The graph of y = -12x² - 12x is a downward-opening parabola.
It has a concave shape and its vertex is the highest point on the graph. The axis of symmetry is a vertical line passing through the vertex.
The graph may intersect or be tangent to the x-axis at two points, one point, or no points, depending on the discriminant.
Learn more about Graph at:
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What 2 days did he decrease his walking
Answer:
4, 7, 14
Step-by-step explanation:
Because it's were it decreases
Tính giá trị của I = [tex]\lim_{x \to \infty}[/tex] ([tex]\frac{4^{n} - 5.3^{n} + 1}{2.4^{n} + 2}[/tex])
I assume you're supposed to find the limit as n approaches infinity, not x.
You have
[tex]\displaystyle \lim_{n\to\infty}\frac{4^n-5.3^n+1}{2.4^n+2} = \lim_{n\to\infty}\frac{\left(\dfrac4{5.3}\right)^n-\left(\dfrac{5.3}{5.3}\right)^n+\dfrac1{5.3^n}}{\left(\dfrac{2.4}{5.3}\right)^n+\dfrac2{5.3^n}} \\\\ = \lim_{n\to\infty}\frac{\left(\dfrac4{5.3}\right)^n-1+\dfrac1{5.3^n}}{\left(\dfrac{2.4}{5.3}\right)^n+\dfrac2{5.3^n}}[/tex]
For |x| < 1, we have lim |x|ⁿ = 0 as n goes to infinity. Then each exponential term converges to 0, which leaves us with -1/0. This means the limit is negative infinity.
On the other hand, perhaps you meant to write
[tex]\displaystyle \lim_{n\to\infty}\frac{4^n-5\times3^n+1}{2\times4^n+2}[/tex]
The same algebraic manipulation gives us
[tex]\displaystyle\lim_{n\to\infty}\frac{\left(\dfrac44\right)^n-5\left(\dfrac34\right)^n+\dfrac1{4^n}}{2\left(\dfrac44\right)^n+\dfrac2{4^n}} = \lim_{n\to\infty}\frac{1-5\left(\dfrac34\right)^n+\dfrac1{4^n}}{2+\dfrac2{4^n}}[/tex]
Again the exponential terms converge to 0, but this time we're left with the limit 1/2.
Please help me with my Geometry.
Answer:
it should be 6
Step-by-step explanation:
I could be wrong
PLEASE HURRY
1 Your dad asks you to go to the grocery store and buy at least 3 pounds of grapes. Write an inequality for this scenario.
Answer:
X ≥ 3
Step-by-step explanation:
Let the number of grapes you'll buy be X, you need to buy at leaF 3 pounds so:
X ≥ 3
Answered by Gauthmath
Line m has no y-intercept, and its x-intercept is (3,0). line n has no x-intercept, and its y-intercept is (0-,4).
the equation of line m is ___ , and the equation of line n is ____.
type the correct answer in each box.
Answer:
x=3 and y=4
Step-by-step explanation:
please verify the answer
3x-4y;x=4andy=3 evaluate the expression for the indicated values of the variables
Step-by-step explanation:
In this problem, all we have to do is replace x and y with the values we've been given.
It can be helpful to think of 3x as 3 * x (which is the same exact thing), so I'll write it out that way.
3*x - 4*y
(replace)
3*4 - 4*3
(multiply (doing this step first because of PEMDAS))
12 - 12
(subtract)
0
Answer:
0
Answer: 0
Step-by-step explanation:
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given
3x - 4y
x = 4, y = 3
Substitute value of x and y
3(4) - 4(3)
Simplify multiplication
12 - 12
Final subtraction
0
Hope this helps!! :)
Please let me know if you have any questions
What is the range of the function on the graph?
Answer:
The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.
Step-by-step explanation;
The range of a function is the set of y-coordinates of all the points int he graph of the function.
Look at the graph. The vertex is point (2, -3).
The graph does not go lower than that point.
The lowest y-coordinate is -3.
The graph goes up forever on both sides until infinity.
The range is all numbers greater than or equal to -3.
Zoe walks at a speed of 10 miles/h and jogs at a speed of 20 miles/h. She goes to the park to walk 2 miles on a Monday. How long will she take to walk 2 miles?
Answer:
12 minutes
Step-by-step explanation:
Given
[tex]s_1 = 10mi/h[/tex] --- walk speed
[tex]s_2 = 20mi/h[/tex] --- jog speed
[tex]d = 2\ miles[/tex] --- distance
Required
The time to walk the given distance
Time is calculated as:
[tex]Time = \frac{distance}{speed}[/tex]
In this case, the speed is the speed at which she walks.
So, we have:
[tex]Time = \frac{d}{s_1}[/tex]
Substitute known values
[tex]Time = \frac{2mi}{10mi/h}[/tex]
[tex]Time = 0.2hr[/tex]
Convert to minutes
[tex]Time = 0.2 * 60mins[/tex]
[tex]Time =12mins[/tex]
(4x-5y) is subtracted from (-10x-y)
Answer:
-14x+4y
this is the correct answer.
In a survey of women in a certain country the mean height was 62.9 inches with a standard deviation of 2.81 inches answer the followinv questions about the specified normal distribution
The question is incomplete. The complete question is :
In a survey of women in a certain country ( ages 20-29), the mean height was 62.9 inches with a standard deviation of 2.81 inches. Answer the following questions about the specified normal distribution. (a) What height represents the 99th percentile? (b) What height represents the first quartile? (Round to two decimal places as needed)
Solution :
Let the random variable X represents the height of women in a country.
Given :
X is normal with mean, μ = [tex]62.9[/tex] inches and the standard deviation, σ = [tex]2.81[/tex] inches
Let,
[tex]$Z=\frac{X - 62.9}{2.81}$[/tex] , then Z is a standard normal
a). Let the [tex]99th[/tex] percentile is = a
The point a is such that,
[tex]$P(X<a)=0.99$[/tex]
[tex]$P \left( Z < \frac{a-62.9}{2.81} \right) = 0.99$[/tex]
From standard table, we get : [tex]P( Z < 2.3263) =0.99[/tex]
∴ [tex]$\frac{(a-62.9)}{281} = 2.3263$[/tex]
[tex]$a= (2.3263 \times 2.81 ) +62.9$[/tex]
= 6.536903 + 62.9
= 69.436903
= 69.5 (rounding off)
Therefore, the height represents the [tex]99th[/tex] percentile = 69.5 inches.
b). Let b = height represents the first quartile.
It is given by :
[tex]P( X < b) =0.25[/tex]
[tex]$P \left( Z < \frac{(b-62.9)}{2.81} \right) = 0.25$[/tex]
From the standard normal table,
[tex]P( Z < -0.6745) =0.99[/tex]
∴ [tex]$\frac{(b-62.9)}{2.81}= 0.6745$[/tex]
[tex]$b=(0.6745 \times 2.81) +62.9$[/tex]
= 1.895345 + 62.9
= 64.795345
= 64.8 (rounding off)
Therefore, the height represents the 1st quartile is 64.8 inches.
what are the domain and range of y= cos x? Select one for domain and one for range
Answer:
Domain = all real numbers
range = -1<= y <= 1
The domain of y=cosx is all real numbers and the range is -1 ≤ y ≤ 1.
What is the domain and range of a function?The range of 'x' of a function is known as the domain of definition of a function and the range of 'y' of a function is known as the range of the function.
How to find the domain and range of a function?The function is continuous for all real values of 'x'.
Hence, the domain of the function is all real numbers.
The upper limit value of cosx =1 and lower limit value of cosx = -1 .
Hence, the range of the function is -1 ≤ y ≤ 1.
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