[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the Radius ~
[tex]\qquad \sf \dashrightarrow \: area = \frac{ \theta}{360} \times \pi {r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: 80= \frac{ 72}{360} \times \pi {r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: {r}^{2} = \frac{80 \times 360}{72 \times \pi} [/tex]
[tex]\qquad \sf \dashrightarrow \: {r}^{2} = \frac{80 \times 5}{ \pi} [/tex]
[tex]\qquad \sf \dashrightarrow \: {r}^{} = \sqrt\frac{400}{ \pi} [/tex]
[tex]\qquad \sf \dashrightarrow \:r = \frac{20}{ \sqrt{\pi} } [/tex]
or
[tex]\qquad \sf \dashrightarrow \:r \approx 11.28 \: ft[/tex]
I hope you understood the whole procedure, let me know if you have doubts ~
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Devon’s favorite applesauce recipe calls for 2 teaspoons of cinnamon for every 3 apples. There is a proportional relationship between the number of apples
Answer:
3x=2y
Explanation:
There is a proportional relationship between the number of apples and teaspoons of cinnamon that is 3x = 2y.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Given that Devon’s favorite apple sauce recipe calls for 2 teaspoons of cinnamon for every 3 apples.
Now, let x be the number of apple and y be the teaspoons of cinnamon
the proportion are;
x/2 = y/3
Therefore, the proportional relationship between the number of apples and teaspoons of cinnamon is
3x=2y
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Calculate the angle of the incline from the diagram. Answers have been rounded to the nearest tenth of a degree.
A. 32.2°
B. 40.2°
C. 49.8°
D. 57.8°
Answer:
40.2
Step-by-step explanation:
Let's see
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{11}{13}[/tex]
[tex]\\ \rm\rightarrowtail tan\theta=0.846[/tex]
[tex]\\ \rm\rightarrowtail \theta=tan^{-1}(0.846)[/tex]
[tex]\\ \rm\rightarrowtail \theta=40.2^{\circ}[/tex]
Roald's annual salary is $100 482. If Roald gets paid monthly, calculate his monthly income.
/1
James has a job that pays him $24 per hour. Assume a working week of 38 hours. Assume
Write an equation for the hyperbola that satisfies the given set of conditions.
Vertices (20,0) and (-20,0) conjugate axis of length 18 units.
The vertices of the hyperbola are the x-intercepts of the hyperbola
The equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]
How to determine the equation of the hyperbola?The equation of a hyperbola is represented as:
[tex]\frac{(y - k)^2}{a^2} -\frac{(x - h)^2}{b^2} = 1[/tex]
The vertices are (20,0) and (-20,0).
So, the center of the hyperbola is:
(h,k) = (0,0).
Also, we have:
a = 20
This gives
[tex]\frac{(y - 0)^2}{a^2} -\frac{(x - 0)^2}{b^2} = 1[/tex]
Evaluate
[tex]\frac{y^2}{a^2} -\frac{x^2}{b^2} = 1[/tex]
Substitute 20 for a
[tex]\frac{y^2}{20^2} -\frac{x^2}{b^2} = 1[/tex]
[tex]\frac{y^2}{400} -\frac{x^2}{b^2} = 1[/tex]
The length of the conjugate axis is:
l = 18 units
So, we have:
[tex]b = \frac{18}2 = 9[/tex]
The equation becomes:
[tex]\frac{y^2}{400} -\frac{x^2}{9^2} = 1[/tex]
[tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]
Hence, the equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]
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Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0. 05m 20, where m is the number of minutes used. What are the domain and range of the function C(m)?.
The domain of the function C(m) = 0.05m + 20 is (0, ∞) and the range of the function C(m) = 0.05m + 20 is (20, ∞).
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function
[tex]\rm C(m) = 0.05\ m + 20[/tex]
The domain of the function is from zero to infinity because time can never be negative.
Then the range of the function will be
At m = 0, the value of C(m) will be
C(m) = 0.05(0) + 20
C(m) = 20
At m = ∞, the value of C(m) will be
C(m) = 0.05(∞) + 20
C(m) = ∞
Thus, the domain of the function is (0, ∞) and the range of the function is (20, ∞).
More about the linear system link is given below.
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What value of c makes x2 6x c a perfect square trinomial? c = If x2 6x c = (x d)2, then d =.
[tex]\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^2 \pm \stackrel{\stackrel{2\sqrt{x^2}\sqrt{c^2}}{\downarrow }}{6x} +c^2~\hspace{10em}6x=2\sqrt{x^2}\sqrt{c^2}\implies 6x=2xc \\\\\\ \cfrac{6x}{2x}=c\implies 3=c\implies 9=c^2~\hfill \boxed{(x\pm 3)^2}[/tex]
c=9 makes the given expression a perfect square trinomial.
The given expression is:
[tex]x^{2} +6x+c[/tex]
We can rewrite it as:
[tex]x^{2} +2*x*3 + c[/tex].....(1)
What is the expansion of [tex](a+b)^2[/tex]?The expansion of [tex](a+b)^2[/tex] is [tex]a^{2} +2ab+b^{2}[/tex]
Comparing (1) with [tex]a^{2} +2ab+b^{2}[/tex]
We get
a=x
b=3
c=b²
So, c=3² =9.
So, c=9 makes the given expression a perfect square trinomial.
Hence, c=9 makes the given expression a perfect square trinomial.
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Please help on this
Answer:
5.025m
Step-by-step explanation:
The clothesline also creates an upside-down triangle with two sides being 5m, 0.5m, and the hypotenuse being the clothesline.
We can use the pythagorean theorem to find the length of the clothesline.
5 squared +.5 squared= the length of the clothesline squared
25+.25= the square root of 25.25
= 5.025
Answer:
Your answer would be:
5.025m
Step-by-step explanation:
5 sq + 0.5sq = the length of the clothesline sq
25 + 0.25= the square root of 25.25
= 5.025m
Have a great rest of your day
#TheWizzer
Answer the question with true or false:
True:
Area of trapezoid = [tex]\frac{1}{2}(b1 + b2) * h[/tex]
Hope that helps!
John bought a crate of floor tiles $100. the crate had 5 boxes of floor tiles. each box contained 40 floor tiles. what is the cost per box ?
Answer:
20
Step-by-step explanation:
100/5=20
What is the value of c
Answer:
x = 49º
Step-by-step explanation:
This is right angle, and right angle's are always a 90º angle. 90º - 41º is 49.
So the basic answer is 49, but it's properly written as "49º".
Hope this helps!!
The value of x: 49 degrees
Note: All the angles in a triangle add up to 180 degrees
What we're given:
41 degrees, A right angle, and x.
A right angle is 90 degrees.
Equation:
41 + 90 + x = 180
131 + x = 180
x = 49 degrees
Is the length of the hypotenuse of a right triangle with legs that mea-
sure 5 cm and 6 cm a rational number or an irrational number? Justify
your answer. Answer in complete sentences and indude all relevant calculations
PLS HELP I'LL MARK BRAINLIEST
Answer:
Domain: (-∞, -5) ∪ (-1, ∞)
Step-by-step explanation:
Note:
For f(x) > 0: See the points of x for which the graph of f(x) lies above the x-axis.
For f(x) < 0: See the points of x for which the graph of f(x) lies below the x-axis.
We need to find the domain of f(x) for which f(x) < 0
From the graph, we can tell:
f(x) < 0 on (-∞, -5) ∪ (-1, ∞)
Therefore: The domain on which the given graph f(x) is negative, is (-∞, -5) ∪ (-1, ∞)
Evaluate the following expression: (2,3)-3(1,1). Enter your answer as a vector
Answer:
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression(2,3) - 3(1,1) in vector form is (-1, 0).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The given expression can be solved as shown below.
(2,3) - 3(1,1)
Multiply 3 in the second vector,
= (2,3) - (3,3)
Subtracting vectors
= (2-3, 3-3)
= (-1, 0)
Hence, the value of the given expression(2,3) - 3(1,1) in vector form is (-1, 0).
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State whether each equation is in standard form.
A.) 3x + y = 8
B.) x - y = 15z
C.) x(to the second power) + y = 11
D.) 3xy + y(to the second power) = 4
E.) x + 4y = 12
F.) 5x + 24y = 544
Please help, I'll give Brainliest!
Answer:
Step-by-step explanation:
Standard form: Ax + By = C
State whether each equation is in standard form.
A.) 3x + y = 8 (in standard form)
B.) x - y = 15z (not in standard form, because it has a variable(15z))
C.) x^2 + y = 11 (not in standard form, this is not a linear equation)
D.) 3xy + y^2 = 4 (not in standard form, this is not a linear equation)
E.) x + 4y = 12 (in standard form)
F.) 5x + 24y = 544 (in standard form)
Hope this helps!
Brainliest available
Simplify
8x^5 y^8 z^9 ur welcome
Answer:
[tex]64x^6y^{12}z^{14}[/tex]
Step-by-step explanation:
[tex]\left(8x^3y^6z^7\right)^2[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n[/tex]
[tex]\left(8x^3y^6z^7\right)^2=8^2\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]
[tex]=8^2\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]
[tex]8^2=64[/tex]
[tex]=64\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]
[tex]=64x^6\left(y^6\right)^2\left(z^7\right)^2[/tex]
[tex]=64x^6y^{12}\left(z^7\right)^2[/tex]
[tex]=64x^6y^{12}z^{14}[/tex]
~lenvy~
in each diagram line p is parallel ANSWER FAST Pls
Answer:
choice A is correct
Step-by-step explanation:
the value of x should be 75
4x^2−24x
that is a 4x to the second power thanks you people are so helpful oh yeah factor it thats it
Answer:
See below.
Step-by-step explanation:
4x^2-24x
Find the GCF.
4 - 1, 2, 4
24 - 1, 2, 3, 4, 6, 8, 12, 24
The GCF of x^2 and x is x.
The complete GCF is 4x.
4x(x-6)
-hope it helps
What is the total amount paid for a $60 meal with a 15% tip and 8% tax?
Answer:
I believe it would be 73.8 or if they are rounding up 74.
Step-by-step explanation:
15% of 60 is *9* and 8% of 60 is *4.8*
9+4.8=13.8
13.8+60=73.8.
(b) A line has the equation y = 6x + 11
Does the point (-3,15) lie on the line? Explain you answer as fully as possible
Hi, to begin, the ordered pair value (-3, 15) has an x-value of -3. So, to see if it lies on the line of your equation y = 6x + 11, plug -3 in for x. This gives you y = 6(-3) + 11 = -7 So the ordered pair answer for this would be (-3, -7) and not (-3, 15). So the answer is no.
Hey there!
-----------------------_----------_---------5/6-(2/3-4/9)= (5/6-2/3)-4 is this equal
This equation is False.
5/6-(2/3-4/9) = 11/18
(5/6-2/3)-4 = -23/6
Showing two different answers, so no they are not equal.
6.005= as what percent
Answer:
[tex]\displaystyle 600\frac{1}{2}\%[/tex]
Explanation:
Just move the decimal mark twise to the right and you will arrive at your result.
I am joyous to assist you at any time.
An equation of a line through (1, 1) which is parallel to the line y = − 4 x 3 has slope:
Step-by-step explanation:
slope -4
equation of line = (y-y1)=m(x-x1)
eq. = (y-1)= -4(x-1)
y-1=-4x+4
4x+y=5slope of this line is -4x
MARK ME AS BRAINLISTHow long is 10% of a 24-hour day?
Answer:
2.4 hour is 10%
Step-by-step explanation:
Because 10% is equal to 0.1 24÷ 10% =2.4
3 is 9 greater than an unknown number
find unknown number
-6
Step-by-step explanation:
First we see 3 is greater than the subject so 3<x 3-9 = -6
What is the volume in cubic meters of the rectangular prism that is 4 meters tall, 212 meters wide, and 8 meters long?
Write your answer as a fraction or as a whole
6
cm
4.
m
ол
52
cm
52 cm
62 cm
Answer:
Perimeter=25
Step-by-step explanation:
HOPE THIS HELPS YOU
Find the measure of
Mr. endres wants to put fencing around his rectangular shaped backyard. the width of the backyard is 42 feet and the length is two times the width. how many feet of fencing does mr. endres need?
The the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.
What is the Perimeter of a Rectangle?Perimeter = 2(length + width).
The number of feet needed for the fence around the rectangular garden = perimeter of teh rectangular garden.
Given the following:
Width = 42 ft.Length = 2(42) = 84 ft.Plug the values into Perimeter = 2(length + width):
Perimeter of the rectangular garden = 2(42 + 84)
Perimeter of the rectangular garden = 252 ft
Therefore, the the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.
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Please help me solve this
Answer:
The length of river D is 2550
length of river C is 2550+500=3050
Step-by-step explanation:
Let the river D be 'x'
and the river C is (x+500)
x + x + 500 = 5600
2x + 500 = 5600
2x = 5600 - 500
2x = 5100
x = 5100/2
x = 2550
The length of river D is 2550
length of river C is 2550+500=3050
1) Which of the following has a probability of 0?
1. Rolling a 1 on a standard die
2.Flipping tails on a standard coin
3.Rolling a sum of 20 with two standard dice
4.Rolling a sum of 5 with two standard dice
Answer:
3. rolling a sum of 20 with two standard dice
Step-by-step explanation:
If something has a probability of 0 then there is no chance of it happening
A standard die goes up to 6. The max sum you can get by rolling two dice would be 12 as 6 + 6 = 12. So you have no chance of rolling a sum of 20 with two standard dice therefore the probability would be 0.