Answer:
Area of sector is 6pi cm^2
Step-by-step explanation:
Mathematically pi radians is 180 degrees
thus pi/6 radians is 180/6 = 30 degrees
The formula for the length of an arc is;
theta/360 * 2 * pi * r
where theta in this case is 30 degrees
And the arc length is pi
so we have
30/360 * 2 * pi * r = pi
30/360 * 2 * r = 1
60r = 360
r = 360/60
r = 6 cm
Now the area of a sector is;
theta/360 * pi * r^2
30/360 * pi * 36
= 6pi cm^2
Hailey is making pizzas for a pizza party. Each pizza requires 1/2 pound of cheese. How many pounds of cheese does she need to make 19 pizzas? Express your answer in simplest form.
Cheese required for 1 pizza = ½ pound
So, cheese required for 19 pizzas
= 19 × ½ pounds
= 19/2 pounds
= 9½ pounds
So, Hailey needs 9½ pounds of cheese to make 19 pizzas.
The solution is 9.5 pounds
The number of pounds of cheese Hailey need to make 19 pizzas is 9.5 pounds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pounds of cheese for 19 pizzas be A
Now , the equation will be
The number of pounds of cheese for 1 pizza = 1/2 pounds
So , the number of pounds of cheese for 19 pizzas = 19 x number of pounds of cheese for 1 pizza
Substituting the values in the equation , we get
The number of pounds of cheese for 19 pizzas = 19 x ( 1/2 )
The number of pounds of cheese for 19 pizzas = 19/2
The number of pounds of cheese for 19 pizzas = 9.5 pounds
Therefore , the value of A is 9.5 pounds
Hence , the number of pounds of cheese is 9.5 pounds
To learn more about equations click :
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Find the reciprocal of 4/5
Answer:
its 5/4! haha i used to be good at this when i was in 6th grade:)
(x+5). (x-4)-(x+2)^2+(2x+3)^2=(2x-1) (4x^2+2x-1)+18x(2x+3)
Answer:
x ≈ -0.73151
Step-by-step explanation:
Daniel incorrectly solved the equations shown. Explain what he did wrong in each situation and then solve both equations correctly. 16x2 - 9 = 16
V16x2 - 19 - + 16
4x - 3 - +4
4x = +7
* = 14
(a)
IN
y3 - 1 = 7
= 8
(b)
y = 2
Step-by-step explanation:
the scanned description is very hard to understand.
so I think what happened :
16x² - 9 = 16
then the first error :
sqrt(16x²) - sqrt(9) = sqrt(16)
that is wrong, as you cannot split a + or - operation inside a sqrt function into + or - separate sqrt results of the parts.
so, correctly, the only possible transformation involving sqrt for both sides :
sqrt(16x² - 9) = sqrt(16)
but it would be even easier to clean up the various constant numbers with each other.
so,
16x² - 9 = 16
16x² = 25
and now we trashes the square root
sqrt(16x²) = sqrt(25)
4x = 5
x = 5/4 or x = -5/4
and I cannot see or understand for my life what the second equation was, as Daniel did something wrong, so I cannot deduct the original equation out of a supposedly wrong
y³ - 1 = 7
Solve the equation for all values of x.
- 2x(– 8)(10x + 1) = 0
From deltamath.com
Answer:
Hi I'm going to answer the question is 0
Step-by-step explanation:
-2x(-8)(10x+1)=0
Multiply -2 times -8 is 16
16x(10x+1)=0
Use the distributive property to multiply 16x by 10x+1
[tex] {160}^{2} + 16 = 0 \\ [/tex]
Factor out x.
x(160x+16)=0
To find equation solutions, solve x=0 and 160x+16=0
x=0
x=
[tex] - \frac{1}{10} [/tex]
Find the value of x
Answer:
C
Step-by-step explanation:
Using exterior angle property, we have 97+4x+7=17x+13. 13x=91, x=7
Un ingeniero civil a cargo de una obra contrata una cierta cantidad de obreros. Estima que, si le
pagara S/ 1.400 a cada uno de los obreros, le faltarían S/ 8.000, pero si le pagara S/ 1.200 a cada
uno, le sobrarían S/ 2.000. El número de obreros que contrató es
Al plantear un sistema de ecuaciones lineales, encontramos que el número de obreros que contrató el ingeniero civil fue 50.
Para encontrar el número de obreros que el ingeniero contrató debemos plantear un sistema de ecuaciones lineales de dos ecuaciones con dos incógnitas, tal como sigue:
[tex] M - 1400*x = -8000 [/tex] (1)
[tex] M - 1200*x = 2000 [/tex] (2)
En donde:
M: es la incógnita igual al monto de dinero del ingeniero
x: es la incógnita igual al número de obreros
De la ecuación (1) tenemos:
[tex] M = 1400*x - 8000 [/tex] (3)
Podemos encontrar el valor de x (número de obreros), introduciendo la ecuación (3) en la ec (2):
[tex] 1400*x - 8000 - 1200*x = 2000 [/tex]
[tex] 200*x = 10000 [/tex]
[tex] x = 50 [/tex]
El monto de dinero inicial del ingeniero sería entonces (ec 3):
[tex] M = 1400*50 - 8000 = 62000 [/tex]
Por lo tanto, el número de obreros que contrató el ingeniero es 50.
Puedes aprender sobre otro método de resolución de sistemas de ecuaciones lineales ingresando acá: https://brainly.com/question/10831551?referrer=searchResults
Espero que te sea de utilidad!
Find the income tax of the following cases annual salary=8000,allowance=1450,rate of tax=12℅
Answer: don't know
Step-by-step explanation:
Helpppppppp pleaseeee
Answer:
5
Step-by-step explanation:
median means the number in the middle
Solve for x. Type your answer below.
5(2x−12)=−90
Hi there!
[tex]\large\boxed{x = -3}[/tex]
Begin by distributing the 5:
5(2x) + 5(-12) = -90
Simplify:
10x - 60 = -90
Add 60 to both sides:
10x = -90 + 60
10x = -30
Divide both sides by 10:
x = -3
Answer:
x = -3
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, divide 5 from both sides of the equation:
5(2x - 12) = -90
(5(2x - 12))/5 = (-90)/5
2x - 12 = -90/5
2x - 12 = -18
Next, add 12 to both sides of the equation:
2x - 12 (+12) = -18 (+12)
2x = -18 + 12
2x = -6
Finally, divide 2 from both sides of the equation:
(2x)/2 - (-6)/2
x = -6/2
x = -3
-3 is your answer for x.
~
given m||n, find the value of x
Answer:
x = 127º
Step-by-step explanation:
y = 127º {Corresponding angles}
x = y {Vertically opposite angles}
x = 127º
Multiply: (2x+y) (n2-3xy+y2)
Answer:
[tex]{ \tt{(2x + y)( {n}^{2} - 3xy + {y}^{2} )}} \\ = { \tt{(2x {n}^{2} - 3 {x}^{2}y + 2x {y}^{2} + {n}^{2}y - 3x {y}^{2} + {y}^{3} )}} \\ = { \tt{ {y}^{3} - xy(y + 3x) + {n}^{2} y }}[/tex]
Hello!
(2x+y) (n2-3xy+y2)
2x* n²= 2xn²
2x* -3xy = -6x²y
2x* y² = 2xy²
y*n² = yn²
y*-3xy = -3xy²
y* y² = y³
=>
2xn²- 6x²y + 2xy² +yn²- 3xy² +y³
HELPPP MEE PLEASE!!!
Consider the function shown on the graph.
Answer:
Domain x ≥ - 5
Range y ≥ - 2
Step-by-step explanation:
x ≥ - 5
y ≥ - 2
Can anyone help pls :)? Thank you
Answer:
It's D:5.3
Step-by-step explanation:
√28 =5.29
Round off therefore is 5.3
Please help!
This is a part 2 of a question, I found the first one and couldn’t find the second one. These are from edginuity. If you guys need the first part lmk.
Answer:
The vertical line test is basically a way to determine whether or not a graph is a function. All three of the options are accurate, so I would select all three.
Let me know if you have any other questions!
Select the correct answer.
Which equation matches the function shown in the graph?
Answer:
D. y = cos(4x)
Step-by-step explanation:
The graph passes through the points y = 0 and x = 3π/8
So you solve x = 3π/8 into 4 answers, which is equal to 0 is the correct answer.
A fair spinner has 10 equal sections: 3 red, 3 blue and 4 green.
It is spun twice.
What is the probability of getting 2 different colours?
Answer:
11/30
Step-by-step explanation:
Help help help help help
Answer: 0 and 4
Step-by-step explanation:
nick was scuba diving at -32 1/2 feet if he descends another 8 3/5 feet what is his location ?
Answer:
-41 1/10
Step-by-step explanation:
subtract the two numbers may i get brainliest plz
This is a really simple fraction problem. All we have to do is realize that, because he is descending, the [tex]8\frac{3}{5}[/tex] is actually negative, so we get [tex]-32\frac{1}{2}-8\frac{3}{5}=-41\frac{1}{10}[/tex] which can also equal -41.1
Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less than the sum if the other two
Answer:
The shortest side of the triangle is 18
Step-by-step explanation:
Let the sides the triangle be x, y and z.
From the question, the perimeter of the rectangle is 64, that is
x + y + z = 64 ...... (1)
Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)
The third side, z, is 20 less than the sum of the other two, that is
z + 20 = x + y ...... (3)
Substitute equation (3) into (1)
Then,
z + 20 + z = 64
2z +20 = 64
2z = 64 - 20
2z = 44
z = 44/2 k
z = 22
From equation (3)
z + 20 = x + y
Then, k
22 + 20 = x +y
42 = x + y
x = 42 - y ...... (4)
Substitute this into equation 2
3x = 4y
3(42-y) = 4y
126 - 3y = 4y
4y + 3y = 126
7y = 126
y = 126/7
y = 18
Substitute this into equation (4)
x = 42 - y
x = 42 - 18
x = 24
∴ x = 24, y = 18 and z = 22
Hence, the shortest side of the triangle is 18.
The mean age of 5 women in an office is 35 years old.
The mean age of 5 men in an office is 24 years old.
What is the mean age (nearest year) of all the people in the office?
Answer:
29.5
Step-by-step explanation:
(5×35)+(5×24)/10
175+120/10
295/10
=29.5
HELPPP PYTHAGOREAN THEOREM
Answer:
60
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2+25^2 = 65^2
a^2 +625 = 4225
a^2 = 4225-625
a^2=3600
Taking the square root of each side
sqrt(a^2) = sqrt(3600)
a = 60
Answer:
Step-by-step explanation:
Hypotenuse: 65
Leg: 25
Let Hypotenuse be c, and leg be a
[tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]
[tex]a^{2} + 25^{2} = 65^{2}[/tex]
[tex]a^{2} + 625 = 4225\\[/tex]
[tex]a^{2}[/tex] = 4225 - 625
[tex]a^{2}[/tex] = 3600
3600 is the exponential value of a, meaning we need to apply the opposite of squaring to get the value of b. Which is square rooting.
a = [tex]\sqrt{3600\\}[/tex]
a = 60
Therefore a is equal to 60 feet
Please help, the question is in the picture
Answer:
per = 18a 7a+2a+7a+2a
area = 14 [tex]a^{2}[/tex] 7a*2a
Step-by-step explanation:
Answer:
(i) 18a
(ii) 14[tex]a^2[/tex]
Step-by-step explanation:
i: 7a+7a+2a+2a
14a+4a
18a
ii: 7a*2a
14a2
I hope this helps!
if the cost of 5 dozen of copies is rupees 60 what is the cost of 33 such copies
Answer: Rs 33
Step-by-step explanation:
Cost of 5 dozen copies = Rs 60
Total copies in 5 dozen = 5×12
= 60
Cost of each copy = 60/60
= Rs 1 per copy
Cost of 33 copies = 33×1
= Rs 33
Therefore cost of 33 such copies is Rs 33
please click thanks and mark brainliest if you like :)
Write the expression 4^4(4^-7)(4) using a single
exponent.
4^-28
4^-4
4^-3
4^-2
Answer:
4^(-2)
Step-by-step explanation:
4^4(4^-7)(4)
We know that a^b * a^c = a^(b+c)
4^4(4^-7)(4^1)
4^(4+-7+1)
4^(-2)
Find the vertical asymptotes of the function (x-1)(x-3)^2(x+1)^2/(x-2)(x+2)(x-1)(x+3)
Answer:
x=2, x=-2, x=-3
Step-by-step explanation:
-check if anything simplifies
(x-1)(x-3)²(x+1)² / (x-2)(x+2)(x-1)(x+3), simplify (x-1)
(x-3)²(x+1)² / (x-2)(x+2)(x+3)
-make the denominator 0 to find the asymptotes
(x-2)(x+2)(x+3) = 0
(x-2) =0 gives x = 2 asymptote
(x+2) =0 gives x= -2 asymptote
(x+3) = 0 gives x=- 3 asymptote
find the value of x.
Answer: x=35
Step-by-step explanation:
To find the value of x, we can use the Pythegorean Theorem because this is a right triangle.
Pythagorean Theorem: a²+b²=c²
[tex]12^2+x^2=(x+2)^2[/tex] [exponent and distribute]
[tex]144+x^2=x^2+4x+4[/tex] [subtract both sides by 144]
[tex]x^2=x^2+4x-140[/tex] [subtract both sides by x²+4x]
[tex]-4x=-140[/tex] [divide both sides by -4]
[tex]x=35[/tex]
Now, we know that x=35.
Fifteen years from now, Atli’s age will be 4 times his current age. What is his current age?
Answer:
he is three i think
Step-by-step explanation:
someone please help me with this question
Answer:
Step-by-step explanation:
The diagram is given to you below. I could not change <C so that it was theta. So C = theta.
So C is the reference angle. Call it theta when you think of it. The diagram shows you how cos(C) must be set up.
The adjacent side is 7
The hypotenuse is 18
theta = C = cos-1(7/18) = 67.11
To the nearest degree 67.11 = 67
If 55% people in a city like Cricket, 30% like Football and the remaining like nother games, then what per cent of the people like other games? If the total people is 60 lakh, find the exact number who like each type of games Answer it fast, no spam please
write in notebook
[tex]\large{\dag\:{\underline{\underline{\frak{\pmb{\red{Answer:-}}}}}}}[/tex]
Cricket = 55%Football = 30%Other games = Remaining (?)So, the percent of people who like other games equals:
= 100 – (55 + 30)
= 100 – 85
= 15%
If the total no. of. people is 60,00,000:
★ Cricket
= 60,00,000 × 55/100
= 33,00,000
★ Football
= 60,00,000 × 30/100
= 18,00,000
★ Other sports
= 60,00,000 × 15/100
= 9,00,000
