Answer:
33.14 ft^2
Step-by-step explanation:
First find the area of the circle
The diameter is 20 ft so the radius is 1/2 of the diameter of 20*1/2 = 10 ft
A = pi r^2 = pi ( 10)^2 = 100 pi
The central angle is 38
That is a fraction of the circle, which is 360 degrees
38/360 = 19/180
Multiply the fraction of the circle by the area
19/180 * 100 pi
19/9 * 5 pi
Using 3.14 for pi
33.144444
To the nearest hundredth
33.14 ft^2
The area of the slice of pie that was cut, rounded to the nearest hundredth 33.14 ft^2.
We have to first find the area of the circle.
The diameter is 20 ft so the radius is 1/2 of the diameter of
20*1/2 = 10 ft.
What is the area of the circle?
The area of a circle [tex]A = \pi r^2[/tex]
By using the formula we have,
A= pi ( 10)^2
A = 100 pi
The central angle is 38.
That is a fraction of the circle, which is 360 degrees
38/360 = 19/180
Multiply the fraction of the circle by the area
19/180 * 100 pi
19/9 * 5 pi
Using 3.14 for pi
33.144444
To the nearest hundredth, it is 33.14 ft^2.
To learn more about the circle visit:
https://brainly.com/question/24375372
The reciprocal of 1 is *
Answer:
[tex]\boxed{1}[/tex]
Step-by-step explanation:
When finding the reciprocal of a value, it flips the denominator with the numerator and vice versa.
The number 1 can be represented as the fraction 1/1 and 1 divided by 1 is still equivalent to 1.
Therefore, the reciprocal of 1 will always be 1.
m=8+n
PLZ HELP ASAP, WILL MARK BRAINLIEST!!!
[tex]\\ \qquad\quad\sf\longmapsto m=8+n[/tex]
Take n to left[tex]\\ \qquad\quad\sf\longmapsto m-n=8[/tex]
Henceif m=1
[tex]\\ \qquad\quad\sf\longmapsto n=m-8=1-8=-7[/tex]
if n=1
[tex]\\ \qquad\quad\sf\longmapsto m=8+1[/tex]
[tex]\\ \qquad\quad\sf\longmapsto m=9[/tex]
There are two types of boxes containing mangoes. Each box of the larger type contains 4 more mangoes than the number of mangoes contained in 8 boxes of the smaller types. Each box has 100 mangoes. Find the number of mangoes contained in the smaller box.
Answer:
12 mangoes
Step-by-step explanation:
Two types of boxes contains mangoes
The larger box contain 4 mangoes than the number of mangoes that is present in 8 smaller box
Each of the box have a total of 100 mangoes
Let y represent the number of mangoes that is present in the smaller box
Therefore, the number of mangoes in the smaller box can be calculated as follows
8y + 4= 100
Collect the like terms
8y= 100-4
8y= 96
Divide both sides by the coefficient of y which is 8
8y/8= 96/8
y= 12
Hence the number of mangoes that is present in the smaller box is 12
Can any kind soul help me please
Use the cosine rule
Answer:
M = 45°
Step-by-step explanation:
a²=b²+c²-2bc Cos A
m² = n² + p² - 2np cos M
(5.1)² = (7.2)² + (5.3)² - 2(7.2)(5.3) cos M
26.01 = 51.84 + 28.09 - 76.32 cos M
-53.92 = -76.32 cos M
0.7065 = cos M
M = [tex]cos^{-1 }[/tex](0.7065)
M = 45°
Pls help number 1 n 3 Maths
Answer:
Step-by-step explanation:
1)
[tex]Sin \ \alpha = \frac{oppsoite \ side \ of \alpha }{hypotenuse}=\frac{QR}{PR}\\\\\\Cos \ \alpha = \frac{adjacent \ side \ of \alpha }{hypotenuse}=\frac{PQ}{PR}\\\\\\tan \ \alpha = \frac{oppsoite \ side \ of \alpha }{adjacent \ side \ of \alpha}=\frac{QR}{PQ}\\\\[/tex]
[tex]Sin \ \beta =\frac{opposite \ of\ \beta }{hypotenuse}=\frac{PQ}{PR}\\\\\\Cos \ \beta =\frac{adjacent \ of\ \beta }{hypotenuse}=\frac{QR}{PR}\\\\\\tan \ \beta =\frac{opposite \ of\ \beta }{adjacent \ of\ \beta }=\frac{PQ}{QR}\\\\[/tex]
If g(x) = (x + 2)/3, find g(-8).
Answer:
-2
Step-by-step explanation:
Substitute -8 in place of x and you get (-8+2)/3 or -6/3 which is -2
Answer:
g(- 8) = - 2
Step-by-step explanation:
To find g(- 8) substitute x = - 8 into g(x) , that is
g(- 8) = [tex]\frac{-8+2}{3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
Manuel is saving money for college. He already has $250. He plans to
save another $50 per month,
Regardless of how many months he saves, how much does he save each
month?
Step-by-step explanation:
That is $250-$50=$200
why because he plans to
save $50 per month and
he already has$250to begin
so that explains what i did
Daniel practises his guitar for 40 minutes every day
If Daniel practises six days per week for 50 weeks per year, how many years will it take him to log up 10 000 hours of practice?
1-Determine a solução dos sistemas abaixo pelo método de adição: a) {x + y = 5 {2x- y=9 b) {3x - y = 10 {x + y =18 Prfvr gente
a)
X + Y = 5
2X - Y = 9
X + 2X + Y - Y = 5 + 9
3X = 14
X = 14/3Para Y, basta substituir o valor de X em qualquer uma das 2 equacoes - arbitrariamente. Escolhendo a primeira:
X+ Y = 5
14/3 + Y = 5
Y = 5 - 14/3
Y = 1/3.........................
b)
3X - Y = 10
X + Y = 18
3X + X - Y + Y = 10 + 18
4X = 28
X = 7Para Y, basta substituir o valor de X em qualquer uma das 2 equacoes - arbitrariamente. Escolhendo a segunda:
X + Y = 18
7 + Y = 18
Y = 18 - 7
Y = 11Brian is building a wood frame around a window in his house. If the window is 4 feet by 5 feet, how much wood does he need for the frame?
Answer:
18 feet
Step-by-step explanation:
to find the frame around the widow means need to find the perimeter around the window:
P=2l+2w
P= 2(5+4)
P=18 feet
Which graph represents a function?
Answer:
D, the horizontal line is a function
Step-by-step explanation:
To pass the vertical line test, a vertical line cannot go through the function more than once
A is a vertical line so it will fail the vertical line test
B will fail the vertical line test at many points. One example is at
x =0 where you can see it will intersect at two points
C will fail the vertical line test at many points. One example is at
x =0 where you can see it will intersect at two points
D is a horizontal line. This will pass the vertical line test
how is this solved..?
Answer:
Range : { -5,1,7}
Step-by-step explanation:
Take the values in the domain and substitute into the equation
x = -3
y = -2(-3) +1 = 6+1 =7
x = 0
y = -2(0) +1 = 0+1 =1
x = 3
y = -2(3) +1 = -6+1 =-5
The range is the y values
We put then in order from smallest to largest
Range : { -5,1,7}
5 diferrent representations of the value 3
Answer:
3
= 15/5
= [tex]\sqrt[3]{27}[/tex]
= 1.5*2
= 3/1
= 3*1
= 3¹
= 1/3⁻¹
= 3⁴ / 3³
= 3⁵ * 3⁻⁴
5 of 17Questions Question 5 Safiya needs to find a number that can be multiplied by 18−−√3 to result in a rational product. Which values could she use? Select all that apply.
Answer:
18 + √3
Step-by-step explanation:
The product of a surd and its conjugate gives a rational number. Hence;
(18 - √3) (18 + √3)
=324 + 18√3 - 18√3 - 3
=321
A rational number does not contain any surd, hence the answer.
Answer: cube root 1/18 & cube root 12
What are the solutions to the equation StartFraction w Over 2 w minus 3 EndFraction = StartFraction 4 Over w EndFraction? w = –6 and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6
Answer:
Hope it will helps you
.
.
Answer:
and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6
hope it's help you...!!!
#rishu
The expression 6(x − 5) means the . If x = 7, the value of the expression is
Answer:
Hey there!
6(x-5)
6(7-5)
6(2)
12
Hope this helps :)
Answer:
12
Step-by-step explanation:
Replace x by 7 in 6(x-5) to be able to evaluate the expression.
● 6(x-5)
● 6(7-5)
● 6 × 2
● 12
So the expression is equal to 12 when x=7
1. 8y = 48
2. q — 12 = 1
3. 18 = a/2
4. r/3 = 7
5. 11 = m — 4
Hello!
1. 8y = 48 => y = 48 : 8 => y = 6
2. q - 12 = 1 => q = 1 + 12 => q = 13
3. 18 = a/2 => a = 18 × 2 => a = 36
4. r/3 = 7 => r = 3 × 7 => r = 21
5. 11 = m - 4 => m = 11 + 4 => m = 15
Good luck! :)
Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? A sign labeled 2x-1 on one side. A: 4x^2 - 1 B:4x^2 + 1 C: 4x^2 + 4x - 1 D: 4x^2 - 4x + 1
Answer:
D: 4x² - 4x + 1
Step-by-step explanation:
(2x - 1) ( 2x - 1)
4x² - 2x - 2x + 1
4x² - 4x + 1
The correct answer is d) 4x2 - 4x + 1.
The area of a square is found by squaring the side length:
(2x-1)? = (2x-1)(2x-1) = 2x*2x - 2x*1 - 2x*1 - = 1(-1) = 4 x 2 - 2x - 2x + 1 = 4x2-4x+1
What is the volume of this figure?
Answer:
44
Step-by-step explanation:
Answer:
4 x 4 x 4 =64
4 x 4 x 8 =128
4 x 4 x 12 =192
64+128+192=384³
hope it'll be helping
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option D, 192 m³
Step-by-step explanation:
Volume = base area × height
= (6×8/2)×8
= 192 m³
The cost of a cycle is $ 950 and that of a scooter is $ 23,500. He sold them together for $ 25,000. Find his profit.
actual cost is 950+23,500=24450
he sold them for 25000 so his profit is 25000-950-23500=550
Answer:
A cycle + A scooter
= 950 + 23,500
= 24,450
Profit = Sold - cost
= 25,000 - 24,450
= 550
So the profit is $550
A car leaves Orlando, FL and travels east toward West Palm Beach. The
equation D = 280-59t can be used to represent the distance, D, from
Orlando after t hours. In this equation, the 59 represents
A.the car's distance from Orlando
B.the speed of the car
C.the distance between Orlando and West Palm Beach D.the number of hours driving
Answer:
Step-by-step explanation:
A) 280 Km
B) When D = 0: speed, S = 280/59 = 4,9 Km/hour
C) 280 Km
D) 59 hours
Can someone help me with this please !!
Step-by-step explanation:
I need help to...
I keep putting it in and no one has ever answered it and I'm struggling and getting stressed.
If (8z − 9)(8z + 9) = az2 − b, what is the value of a?
Explanation:
We use the difference of squares rule to say
(m-n)(m+n) = m^2 - n^2
So in this particular case,
(8z-9)(8z+9) = (8z)^2-(9)^2 = 64z^2 - 81
We can see that the 64 matches with the 'a' of the expression az^2-81, which must mean a = 64
Side note: This means b = 81
Answer:
64
Step-by-step explanation:
took the test
What is 105x - 125y + 236z if "x = 10, y = 23, and z = 54" (40 points!) GIVE A GOOD EXPLANATION, NOT JUST AN ANSWER, WHO EVER DOES IT RIGHT FIRST GETS BRAINLIEST.
Answer:
Hey mate, here is your answer. Hope it helps you.
Step-by-step explanation:
105x-125y+236z
Now you need to multiply the values which are given for respective variables.
=105*10-125*23+236*54
=1050-2875+12744
=10919
Hi there friend!
The answer: 10,919
First we need to rewrite the problem.
105(10) - 125(23) + 236(54)
Now we need to multiply everything like so it looks like this:
1050 - 2875 + 12744 which equals:
10,919
Q: Marci wants to prove that the diagonals of
a rectangle are congruent. Which of these
procedures would be best for Marci to use
to write a correct proof?
a) She should use the fact that the
diagonals of a square are perpendicular
and then use the triangle-angle-sum
theorem.
b) She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.
c) She should use the fact that the
opposite angles of a parallelogram are
congruent and then use triangle
similarity relationships.
d) She should use the fact that the
diagonals of a parallelogram bisect the
angles of the parallelogram and then
use triangle congruence relationships.
Answer: Option B
She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.
We cannot use the diagonals of square property because this is a rectangle, opposite angles will also not work, and we cannot use the diagonal property because thats what we have to prove.
Must click thanks and mark brainliest
Factorize. a^4-a^2+2a-1
Answer:
(a²-a+1)(a²+a-1)
Step-by-step explanation:
[tex]Formula\ to\ use:\\x^2-2xy+y^2=(x-y)^2\\\\x^2-y^2=(x-y)(x+y)\\\\a^4-a^2+2a-1\\\\=a^4-(a^2-2a+1)\\\\=a^4-(a-1)^2\\\\=(a^2-(a-1))(a^2+(a-1))\\\\\\=(a^2-a+1)(a^2+a-1)\\[/tex]
Write an expression in simplified form for the area of each rectangle. Width: 5+2y Length:5
Answer:
25+10y
Step-by-step explanation:
The area of a rectangle is
A = l* w where l is the length and w is the width
A = 5(5+2y)
Distribute
A = 25+10y
Area of rectangle = Length * Width
Length is 5
Width is 5 + 2y
⇛Area = 5(5+2y)
⇛Area = 25 + 10y
Suppose you buy 6 cans of peaches at $1.10 each, 5 cans of corn for $.89 each, and 3 boxes of breakfast cereal at $3.52 each. a. Write three expressions; one each that shows how to determine the total spent on peaches,
corn and breakfast cereal. (3 pts)
Si yo tendria que sumar esos numeros daria: 21.61
porque, 6x1.10= 6.60
5x0.89= 4.45
y las tres cajas de cereal 3x3.52
Equivalent expression -(-5.6m-n+9.9
Answer:
5.6m + n - 9.9
Step-by-step explanation:
-(-5.6m-n+9.9)
5.6m + n - 9.9