Answer:
[tex]x=360[/tex]
Step-by-step explanation:
The inscribed angles theorem states that when given a circle, with an angle that has its vertex at the center of the circle, the measure of the angle is congruent to the measure of the arc surrounding it. One can apply this knowledge here by stating the following,
[tex]m<MON = MN\\[/tex]
Substitute,
[tex]x=2\pi[/tex]
However, this answer is in radians, it is the literal measurement. One must convert into degrees so that the answer fits the format of the question. The conversion rate to switch between radians and degrees is the following,
[tex]degree=\frac{\pi}{180}radians[/tex]
Substitute,
[tex]degree=\frac{180}{\pi}(x)\\\\degree=\frac{180}{\pi}(2\pi)\\[/tex]
Simplify,
[tex]degree=\frac{180*(2\pi)}{\pi}\\degree=360[/tex]
Answer:
x = 45°
Step-by-step explanation:
Given arc length = 2π cm
Radius, r = 8 cm
[tex]Arc \ Length = 2 \pi r (\frac{x}{360})[/tex]
[tex]2 \pi = 2 \pi \times 8 \frac{ x}{360}\\\\\frac{2 \pi}{16 \pi} = \frac{x }{ 360}\\\\\frac{1}{8} = \frac{x}{360}\\\\\frac{360}{8} = x\\\\x = 45^\circ[/tex]
4. Un granjero tiene 57 puercos, que representan el 8 % del total de sus puercos. ¿Cuántos puercos tiene en total?
Answer:
713 puercos
Step-by-step explanation:
Sea T el número total de puercos
Número de cerdos = 57
Porcentaje = 8%
Para encontrar el número total de puercos;
Porcentaje = 8/100 * T = 57
8T/100 = 57
8T = 5700
T = 5700/8
T = 712,5 ≈ 713 puercos
Por lo tanto, el granjero tiene 713 puercos en total.
What is the slope of the line represented by the equation y = -1/2x + 1/4
Answer:
The slope is -1/2 and the y intercept is 1/4
Step-by-step explanation:
y = -1/2x + 1/4
This equation is in slope intercept form
y = mx+b where m is the slope and the y intercept is b
The slope is -1/2 and the y intercept is 1/4
Which of the following is an irrational number? OA. 67 OB. 564 OC. 19 9 OD. 1.9
Answer:
D. 1.9
Step-by-step explanation:
An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.
what is the value of x
2/3x -32=35
Answer:
To find the value of x we need to simplify this.
The steps to simplifying are simple.
We need to take away, add and do a lot to a bunch of stuff, until we receive our answer.
___________________________
Let's continue.
___________________________
Alright, let's go ahead and show our steps.
[tex]\mathrm{Multiply\:both\:sides\:by\:}3x-32[/tex]
[tex]\frac{2}{3x-32}\left(3x-32\right)=35\left(3x-32\right)[/tex]
_____________________
[tex]Simplify = \\2=35\left(3x-32\right)[/tex]
_____________________
[tex]\mathrm{Switch\:sides}\\35\left(3x-32\right)=2[/tex]
_____________________
[tex]\mathrm{Divide\:both\:sides\:by\:}35\\\frac{35\left(3x-32\right)}{35}=\frac{2}{35}[/tex]
_____________________
[tex]\mathrm{Simplify}\\3x-32=\frac{2}{35}[/tex]
_____________________
[tex]\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{1122}{35}}{3}[/tex]
_____________________
[tex]Simplify = \\x=\frac{374}{35}[/tex]
_____________________
Therefore, the answer is x = 374/35
Describe fully the single transformation that mata tange onto anges
3
2
1
4
5320
4
2
-4
Answer:
mee.com/pbj-kbyh-bzm
join it fast
3. Given that a is 30% of b, find the value of a/4b
Answer:
a/4b = 0.075
Step-by-step explanation:
a = 30% of b
a = 30/100 × b
a = 0.3b
The value of a/4b is calculated as:
= 0.3b/4b
= 0.075
What is the approximate circumference of a circle that has a diameter of 15 inches?
Answer:
[tex]{ \tt{circumference \approx\pi \: d}} \\ \approx{ \tt{3.14 \times 15}} \\ \\ \approx47.124 \: inches[/tex]
Which one could NOT be the probability of an event occuring?
A. 23
B. 3/4
C. 2.3
D. 0
Please help !!!
Answer:
D
Step-by-step explanation:
there is zero chance of it happening
Add these mixed numbers 4 4/7+3 2/7
Answer:
50/7 or 7 1/7
Step-by-step explanation:
12 Rose and Haydn share £250 in the ratio 2:3
Rose gives all her share of the money to charity.
Haydn gives 42% of his share of the money to charity.
Rose gives more money to charity than Haydn gives to charity.
Work out how much more.
Answer:
Amount = £37
Step-by-step explanation:
Let Rose be represented by R.
Let Haydn be represented by H.
Given the following data;
Total amount = £250
Ratio of R:H = 2:3 = 2 + 3 = 5
To find how much Rose earned;
R = 2/5 * 250
R = 500/5
R = £100.
For Haydn;
H = 3/5 * 250
H = 750/5
H = £150
Next, we calculate the amount Haydn gave to charity;
Percent = 42% = 42/100 = 0.42
H = 0.42 * 150
H = £63
To find how much more Rose gave to charity than Haydn;
Amount = R - H
Amount = 100 - 63
Amount = £37
I need help please and thank you!!!
Answer:
Area: 288 m^2
Step-by-step explanation:
First find the area of the big rectangle:
A= L•W
A= 24 • 12
Area = 288 meters squared
So this is the area of the shaded one heh heh…
Hope this helps, have a great summer!
Encuentra la solución a los triángulos que cuentan con las siguientes características y represéntalos gráficamente
Answer:
unce de Grenada! Nani de suburban don't listen to me in trying to get points here
PLEASE HELP LAST QUESTION MATH
9514 1404 393
Answer:
A = 48°B = 115°C = 115°D = 67°E = 48°Step-by-step explanation:
A and the angle marked 48° are vertical angles, hence congruent.
A = 48°
B is part of a linear pair with the angle marked 65°, so it is supplementary to that angle.
B = 115°
C is an alternate interior angle with angle B, so is congruent.
C = 115°
D is a vertical angle with the one marked 67°, so is congruent.
D = 67°
E is an alternate exterior angle with the one marked 48°, so is congruent. It is also a corresponding angle with A, so congruent to that as well.
E = 48°
Helllpppp my teacher is being a chihuahua and won’t help meeeee
Answer:
the constant of proportionality is 9 here as the division of all the numbers leads to the answer 9
Step-by-step explanation:
Answer:
Your constant proportionality is 9 because 2x9=18, 3x9=27, 4x9=36, and 5x9=45.
Step-by-step explanation:
m∠MNO =____because they are_____ (Fill in the blanks)
Answer:
No answer is possible from the information provided
Step-by-step explanation:
The is no∠MNO in the image.
Answer:
But then there is no < MNO on the diagram
In the triangle below, what is the sine of 60°?
site
60°
2
1
30°
13
ОА.
NI
O B. 2
O c. 1
D. VE
Answer:
[tex]{ \boxed{ \bf{formular : } \: { \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}} \\ \sin(60 \degree) = \frac{ \sqrt{3} }{2} \\ { \underline{ \blue{ \tt{ {beckerjnr}}}}}[/tex]
The value of expression sine of 60° is,
⇒ √3 / 2
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle is shown in image.
Now, We know that;
Sin x = Opposite / Hypotenuse
Hence, We get;
⇒ sin 60° = √3 / 2
Thus, The value of expression sine of 60° is,
⇒ √3 / 2
Learn more about the triangle visit;
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The sum of the interior angle measures of a convex polygon with n sides is given by the expression 180n–360 . Factor the expression.
Answer: 180(n-2)
You use the distribution rule to factor
The distribution rule is a(b+c) = a*b+a*c
Which of the following steps were applied to ABCD to obtain A'B'C'D
Answer:
B. 3 units right and 4 units up
The correct steps were applied to ABCD to obtain A'B'C'D is,
⇒ 3 units right and 4 units up
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
Translation applied to ABCD to obtain A'B'C'D.
Now, We get;
Coordinate of A = (2, 3)
Coordinate of A' = (5, 7) = (2 + 3, 3 + 4)
Hence, The correct steps were applied to ABCD to obtain A'B'C'D is,
⇒ 3 units right and 4 units up
Learn more about the transformation visit:
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Lola's salary is $40,000 plus a 2% commission on all sales. The rate of change for her salary is a constant rate.
True
False
Answer:
False
Step-by-step explanation:
what is the effect on the graph of f(x) if it is changed to f(x)+7, f(x+7) or 7f(x)
Answer:
it changed to f(x)+7 because it has an asymptote of 7
Find the trigonometric ratio. Write your answer as a fraction in the simplest form
Answer:
sinB = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]
The Trigonometric ratios is 12/13
What is Trigonometry?The branch of mathematics concerned with specific functions of angles and their application to calculations.
We have,
H= 13, B= 5 and P=12
So,
sin B= Perpendicular/ Hypotenuse
= 12/13
hence, sin B= 12/13
Learn more about trigonometry here:
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Given the linear equation 2x + y = 6, write another linear equation in two variables such that these two equations when represented geometrically form parallel lines.
Answer:
The family of lines that are parallel to [tex]2\cdot x + y = 6[/tex] is of the form [tex]2\cdot x + y = k, \,k\neq 6[/tex]. A possible solution is [tex]2\cdot x + y = -2[/tex].
Step-by-step explanation:
Let be [tex]2\cdot x + y = 6[/tex] the equation of a line, another line is parallel to it if and only if it is of the form:
[tex]2\cdot x + y = k, \,k\neq 6[/tex] (1)
Then, a possible solution is [tex]2\cdot x + y = -2[/tex].
find AD and AB
hhjhh
Answer:
y = 13
x = 20.6155281281
Step-by-step explanation:
5^2 + 12^2 = y^2
25 + 144 = y^2
169 = y^2
[tex]\sqrt{169}[/tex] = y
y = 13
y^2 + 16^2 = x^2
13^2 + 16^2 = x^2
425 = x^2
20.6155281281 = x
Hope this helps!
simple Answer:
y = √(119)
x = √(375)
Step-by-step explanation:
harder answer:
12^2 - 5^2 = y^2
y = √(119)
16^2+ √(119) = 375
x = √(375)
somebody help pls im stuck on this one
Answer:
x=77 degrees
Step-by-step explanation:
The angles of a triangle always add to 180 degrees.
26 is already taken up 180-26=154
There are 2 angles left 154/2=77
x=77
A car company sells a scale model to of the size of one of its cars.
Complete the following table.
Scale Model
Real Car
2
Area of windscreen (cm)
135
V25
[3]
3
Volume of storage space (cm)
408000
Answer:
[tex]w = 13500[/tex] --- real windscreen
[tex]v = 408[/tex] --- scale volume
Step-by-step explanation:
Given
[tex]k = \frac{1}{10}[/tex] --- scale factor
See attachment
Required
Complete the table
To get the windscreen (w) of the real car, we do the following computation
[tex]w = \frac{w_{scale}}{k^2}[/tex]
This gives:
[tex]w = \frac{135}{(1/10)^2}[/tex]
[tex]w = \frac{135}{1/100}[/tex]
[tex]w = 13500[/tex]
Next, the volume (v) of the scale mode
We make use of the following computation
[tex]v = v_{real} * k^3[/tex]
So, we have:
[tex]v = 408000 * (1/10)^3[/tex]
[tex]v = 408000 * 1/1000[/tex]
[tex]v = 408[/tex]
Which expression is the radical form of x^4/5?
Answer:
The picture is the answer
Step-by-step explanation:
PLSSS HELP!!!!!!!!! 20 POINTSSSSS!!!!!!!!!
In right ∆ABC the altitude CH to the hypotenuse AB intersects angle bisector
AL in point D. Find BC if AD = 8 cm and DH = 4 cm.PLS EXPLAIN SO THAT A CHILD CAN UNDERSTAND.
PLEASE HELP, and dont forget to show work!
Write an algebraic equation to represent the following problem:
Five friends went out to dinner. Each one of them left an $18 dollar tip and they also split the $148 bill evenly. How much did each person pay for dinner?
PLS I NEED THIS!! I'll give brainiest if correct!!!!!!
Answer:
$47.60
Step-by-step explanation:
[tex]18+\frac{148}{5} =47.60[/tex] ($)
What are the x-intercepts of the graphed function?
(–3, 0) and (0, 1.5)
(–3, 0) and (1,0)
(–1, 2) and (1, 0)
(0, 1.5) and (1, 0)
Answer:
Step-by-step explanation:
d
Answer:
D
Step-by-step explanation: