Answer:
The answer is C.
Step-by-step explanation:Th answer is C because you identify pi and devide it 12 which gives you the answer is which is C.
Answer:
[tex]\frac{1}{2} \sqrt{2+\sqrt{3}[/tex]
Step-by-step explanation:
just took the test
Which function is represented by this graph?
Answer:
Option B.
Step-by-step explanation:
From the given graph it is clear that it is a V-shaped graph. It means, it is the graph of absolute function.
The vertex form of an absolute function is
[tex]y=a|x-h|+k[/tex]
where, a is a constant and (h,k) is the vertex.
From the given graph it is clear that the vertex is at (7,-3). It means h=7 and k=-3.
[tex]y=a|x-(7)|+(-3)[/tex]
[tex]y=a|x-7|-3[/tex] ...(1)
It passes through (4,0).
[tex]0=a|4-7|-3[/tex]
[tex]3=3a[/tex]
[tex]1=a[/tex]
Put this in (1).
[tex]y=1|x-7|-3[/tex]
[tex]y=|x-7|-3[/tex]
Therefore, the correct option is B.
If, 3a/b= 12 what is the value of (-a/-b)
Answer:
A ; -4
Step-by-step explanation:
3a = 12b then a = 4b (dividing by 3)
we put 4b in the equation instead of a:
(-4b / b) = -4
.. ..
Answer:
A. -4
Step-by-step explanation:
3a/b = 12
Let b = 2
3a/2 = 12
3a = 24
a = 8
( - a/b)
( - 8/2)
( - 4)
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?
Answer:
I guess that we want to create 4 digit numbers that are divisible by 5, only using the odd numbers in the image.
We know that a number is divisible by 5 only if the last digit (the units digit) is a zero or a five, in the image we only have a five, so our 4-digit numbers need to end with a five, so we have a digit fixed in five and the other 3 digits can be other numbers.
We have two different approaches to this:
First, if each odd number can be used only once, we already used the five, so we can use the other 4 numbers.
Then, for the first digit, we have 4 options.
for the second digit, we have 3 options (because we already used one)
for the third digit, we have 2 options (because we already used 2)
then the number of combinations is equal to the product of the number of options for each selection:
C = 4*3*2 = 24 combinations.
The second approach is If the numbers in the image can be repeated (for example, 5555 or 3435 are allowed)
we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third, we also have 5 options, then, with the same reasoning as above, we have:
C = 5*5*5 = 25*5 = 125 combinations.
Ewen has 48 whistle tiles and 16 blue tiles the cost of each white tile was £2 and the cost of each blue tile was £4 Work out the ratio of the total cost of the white tiles to the total cost of the blue tiles
Answer:
3:2
Step-by-step explanation:
Ewen has 48 white tiles and 16 blue tiles
The cost of each white tile was £2
The cost of each blue tile was £4
Therefore the total cost of 48 white tiles is
= 48×2
= £96
The total cost of 16 blue tiles is
= 16×4
= £64
The ratio of the total cost of the white tiles and blue tile can be calculated by dividing the cost of both tiles by their greatest common factor
The greatest common factor of £96 and £64 is 32
96/32 = 3
64/32= 2
Ratio= 3:2
Hence the ratio of the total cost of the white tiles to the blue tiles is 3:2
14.3p – 32.24 = 127.92 14.3p – 32.24 + 32.24 = 127.92 + 32.24 14.3p = 160.16 StartFraction 14.3 p Over 14.3 EndFraction equals StartFraction 160.16 Over 14.3 EndFraction.
Answer:
p = 11.2
Step-by-step explanation:
The computation is shown below:
Data provided in the question
2.6(5.5p – 12.4) = 127.92
Now
Distributive Propertyis
14.3p - 32.24 = 127.92
Addition Property is
14.3p = 127.92 + 32.24
Division Property is
14.3p ÷ 14.3 = 160.16 ÷ 14.3
p = 11.2
We simply find the value of p by applying the distributive property, addition property, and the division property and the same is to be considered
Answer:
The Answer is 11.2
Step-by-step explanation:
this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters
Answer:
The perimeter of the actual playground is 22000 units
Step-by-step explanation:
By measurement, the width of the scale drawing = 16 units
The breadth of the scale drawing = 6 units
Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;
Actual width of the playground = 500×16 = 8,000 units
Actual breadth of the playground = 500×6 = 3,000 units
Therefore;
The perimeter of the actual playground = 2 × 8000 + 2 ×3000 = 22000 units.
first chance you get the best marks
Answer:
First box and last box.Step-by-step explanation:
It is the first box.Distribute 7 to the first number
7 * -3/4 = -21/4
-21/4 = 5 -1/4
Distribute 7 to the second number
7 * -3
= -21
Put the numbers together
5 -1/4x -21 is the answer.It is also the last box.They separated the parenthesis.
So it is still 7 * -3/4
and
7*-3.
Hope this helps,
Kavitha
?
Match each ratio to an equal ratio. Drag the items on the left to the
correct location on the right.
1:4
4:48
1:3
4:6
2:3
2:8
1:12
2:6
Answer:
2:8 is the ratio to an equal ratio
Solve: -4 < -2x < 10
Explanation:
The expression -2x means -2 times x. To undo this, we divide all parts of the inequality by -2. Dividing by a negative number will flip the inequality sign. We go from "less than" to "greater than"
-4 < -2x < 10
-4/(-2) > x > 10/(-2) .... inequality signs flip
2 > x > -5
-5 < x < 2
This unknown number x is between -5 and 2. It cannot equal -5. It cannot equal 2.
Simon has 160160160 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by A(x)=-x(x-80)A(x)=−x(x−80)A, left parenthesis, x, right parenthesis, equals, minus, x, left parenthesis, x, minus, 80, right parenthesis What width will produce the maximum garden area?
The width for maximum area will be 40 metres.
Given,Simon has 160 metres of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width x(in meters) is modeled by,
[tex]A(x)=-x(x-80)[/tex].
We know that perimeter of rectangle will be,
[tex]P=2(L+B)\\[/tex]
Here p is 160,
So,[tex]160=2(L+B)[/tex]
[tex]\L+B= 80[/tex]
Now we have the sum of length and width off the rectangular garden is 80.
Since,
[tex]A(x)=-x(x-80)\\[/tex]
So, [tex]A(x)=x(80-x)[/tex]
We know that the area of rectangle will be the product of length and , here in question width is [tex]x[/tex] so the length will be[tex](80-x)[/tex].
Now we have to calculate the width for which the area will be maximum.
The area will be maximum when the first derivative of area function will becomes zero.
So,
[tex]\frac{\mathrm{d} }{\mathrm{d} x} A(x)=\frac{\mathrm{d} }{\mathrm{d} x}(-x)(x-80)[/tex]
[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=\frac{\mathrm{d} }{\mathrm{d} x}(-x^{2} +80x)[/tex]
[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=-2x+80\\[/tex]
For maximum area ,
[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=0[/tex]
Hence,
[tex]-2x+80=0\\x=40[/tex]
Hence the width for maximum area will be 40 metres.
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The maximum area is 1600 sq meters.
Step-by-step explanation:The garden's area is modeled by a quadratic function, whose graph is a parabola.
The maximum area is reached at the vertex.
So in order to find the maximum area, we need to find the vertex's y-coordinate.
We will start by finding the vertex's x-coordinate, and then plug that into A(x).
The vertex's x-coordinate is the average of the two zeros, so let's find those first.
A(x)=0 -x(x-80)=0
↓ ↓
-x=0 or x-80=0
x=0 or x=80
Now let's take the zeros' average:
[tex]\frac{(0)+(80)}{2}=\frac{80}{2}=40[/tex]
The vertex's x-coordinate is 40. Now lets find A(40):
A(40)= -(40)(40-80)
= -(40)(-40)
= 1600
in conclusion, the maximum area is 1600 square meters.
A chemist is using 367milliliters of a solution of acid and water. If 18.4% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answer:
For this case we know that the total amount of solution including water and acid is V=367 ml
And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:
[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]
Step-by-step explanation:
For this case we know that the total amount of solution including water and acid is V=367 ml
And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:
[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]
Customers at your store select their groceries from shelves and then pay. Sales records and records of restocks for flaming roast coffee ( 1 lb size) are as follows: # of sales tues 5, we'd 8, thu 2, fri 19, sat 22, sun 15, mon 3, # of restock tue 6, wed 12, thurs 12, fri 18, sat 24, sun 0, mon0. What is the net change of how many bags are on the shelf, from the the beginning of tuesday to the end of monday?
Answer: - 2
Step-by-step explanation:
- - - - - - - - - - - T - - W - - TH - - F - - S - - S - - M
# of SALE - - - 5 - - 8 - - - 2 - - 19 - 22 - 15 - - 3
# of restock - 6 - - 12 - - 12 - - 18 - 24 - 0 - - 0
Calculating the change in shelf unit on a daily basis:
Change = difference in restock unit and the unit sold, that is, # RESTOCK - # SOLD
TUESDAY :
6 - 5 = 1
WEDNESDAY :
12 - 8 = 4
THURSDAY :
12 - 2 = 10
FRIDAY :
18 - 19 = - 1
SATURDAY :
24 - 22 = 2
SUNDAY :
0 - 15 = - 15
MONDAY :
0 - 3 = - 3
The net change equals the algebraic sum of all daily changes in shelf unit between Tuesday to Monday ;
[1 + 4 + 10 + (-1) + 2 + (-15) + (-3)]
[1 + 4 + 10 - 1 + 2 - 15 - 3]
[ 1 + 4 + 10 + 2 - 1 - 15 - 3]
= 17 - 19
= - 2
Number of bags decreased by 2
HELP ME PLEASEEEEEEEE
X Y
-2 11
-1 7
0 3
1 -1
2 -5
-2 = 16 times minus 2 plus 4y equals to 12
-1 = 16 times minus 1 plus 4y equals to12
0 = 16 times 0 plus 4y equals to 12
1 = 16 times 1 plus 4y equals to 12
2 = 16 times 2 plus 4y equals to 12
Therefore,
-2 = 16 * -2 + 4y = 12
-32 + 4y = 12
4y = 12 + 32
4y = 44
y = 44/4
y = 11
-1 = 16 * -1 + 4y = 12
-16 + 4y = 12
4y = 12 + 16
4y = 28
y = 28/4
y = 7
0 = 16 * 0 + 4y = 12
0 + 4y = 12
4y = 12 + 0
4y = 12
y = 12/4
y = 3
1 = 16 * 1 + 4y = 12
16 + 4y = 12
4y = 12 - 16
4y = -4
y = -4/4
y = -1
2 = 16 * 2 + 4y = 12
32 + 4y = 12
4y = 12 - 32
4y = -20
y = -20/4
y = -5
PLZ HELP ME I NEED THIS FAST WILL GIVE BRAINLIEST
Step-by-step explanation:
The formula the amusement parc use is 100y-39000=55(x-800)
The slope intercept form of a function is wriiten generally as:
y = mx+c
m is a slope c is a constant and represents the y-intercept x is a variable y is the input of the functionLet's rewrite our equation in the precedent form
100y-39000 = 55(x-800)100y -39000 = 55x-44000 add 39000 in both sides100y-39000+39000 = 55x-44000+39000100y = 55x-5000 divide both sides by 100y = 0.55x-50The slope intercept form of this equation is:
y= 0.55x-50
Answer:
y=55x+38992
Explanation:
You have to turn the equation into the form y=mx+b
Step 1: Get y by itself(divide both sides by 100)
100y-39,000=55(x-800)
100/100y-39,000=55(x-800)/100
y-39,000=55(x-800)/100
Step 2: Get y by itself(+ 39000 to both sides)
y-39,000=55(x-800)/100
+39,000=55x-800/100+39,000
y=55x-800/100=39,000
Step 3: Simplify
y=55x+38992
7. In 2015 a club has 250 members who each
pay
$95 annual subscription.
In 2016 the membership increases by 4% and the annual subscription is
increased by 6%. What is the total income from subscriptions in 2016?
2015:
250 members
$95 annual subscription
2016
250 members + 4%
$95 annual subscription + 6%
Work:
250 x 1.04 = 260
95 x 1.06 = 100.7
260 x 100.7 = 26,182
Thus, the club makes $26,182 from 260 members who pay a subscription of $100.7
Please help me……………………………………………………………
Hey there! :)
Answer:
x = -6.
Step-by-step explanation:
Given:
[tex]\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}[/tex]
Cube both sides:
5x - 4 = 7x + 8
Subtract 5x from both sides:
-4 = 2x + 8
Subtract 8 from both sides:
-12 = 2x
x = -6.
Para medir la temperatura se pueden utilizar diferentes escalas, por ejemplo, la escala de grados Celsius (°C) y Fahrenheit (°F ). La relación entre estas escalas está dada por la expresión: C igual fracción numerador 5 por F menos 160 entre denominador 9 fin fracción ¿A cuántos grados Fahrenheit equivalen 62 °C?
Answer:
143.6F
Step-by-step explanation:
Entonces la ecuación establecida es;
C = [tex]\frac{5F-160}{9}[/tex]
Entonces, para resolver el Celsius, debes hacer de F el tema que hago a continuación.
[tex]C = \frac{5F - 160}{9}\\C * 9 =( \frac{5F-160}{9}) *9\\9C - 5F = 5F -160 - 5F\\9C-5F =-160 \\-5F = -160 - 9C\\\frac{-5F}{-5} = \frac{-160-9C}{-5}\\[/tex]
∴[tex]F = \frac{-160-9C}{-5}[/tex]
Ahora ingresamos los valores y resolvemos para F
F = [tex]\frac{-160 - 9(62)}{-5}[/tex]
=[tex]\frac{-160-558}{-5}[/tex]
= [tex]\frac{-718}{-5}[/tex]
= 143.6
∴ 62C = 143.6F
Three angles of an octagon are equal and the sum of the remaining angles is 705⁰. find the size of one of the equal angles.
Answer:
125°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 8 (octagon), thus
sum = 180° × 6 = 1080°
let x represent one of the equal angles, then
3x + 705 = 1080 ( subtract 705 from both sides )
3x = 375 ( divide both sides by 3 )
x = 125
Thus the size of one equal angle = 125°
In 2004, the world's fastest knitter was able to knit 225 stitches in 3 min. How long would she take to knit a scarf that was 20 cm wide and 1.2 m long, if she used yarn that resulted in 1.6 stitches per centimetre?
It will take her 49.15 seconds to knit the scarf.
Since in 2004, the world's fastest knitter was able to knit 225 stitches in 3 min, to determine how long would she take to knit a scarf that was 20 cm wide and 1.2 m long, if she used yarn that resulted in 1.6 stitches per centimeter, the following calculation must be performed:
0.2 x 120 = Area 24 cm2 = Area 1.6 x 1.6 = 2.56 stitches per cm2 24 cm2 x 2.56 = 61.44 225/3 = 75 61.44 / 75 = 0.8192 1 = 60 0.8192 = X 0.8192 x 60 = X 49.15 = X
Therefore, it will take her 49.15 seconds to knit the scarf.
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help i don't understand
Answer:
x = mn+y
Step-by-step explanation:
=> [tex]m = \frac{x-y}{n}[/tex]
Multiplying n to both sides
=> x-y = mn
Now, Adding y to both sides
=> x = mn+y
Answer:
x = m n + y
Step-by-step explanation:
A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule c = 0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 1-mile ride? A)$0.20 B)$0.02 C) $2.20 D)$2.00
Answer:
c
Step-by-step explanation:
Any ride takes $2.00 and one mile takes $0.20.
Cost = $0.20 + $2.00
Cost = $2.20
help please!!!! ty :)
Answer:
I think the answer should be 112
I'm guessing the supports in the water are equally distanced. Therefore, I'd divide 168 by four to get a singular distance between two supports. I got 42 yards.
If Tanø =a/b Find the value of sinø+cosø/sinø-cosø
Answer:
[tex]\frac{b+a}{b-a}[/tex]
Step-by-step explanation:
Tan θ = [tex]\frac{perpendicular}{base}[/tex] = [tex]\frac{b}{a}[/tex]
So, Perpendicular = b, base = a
Finding hypotenuse by Pythagorean Theorem:
[tex]c^2 = a^2+b^2[/tex]
=> So, hypotenuse = c
Sin θ = [tex]\frac{perpendicular}{hypotenuse}= \frac{b}{c}[/tex]
Cos θ = [tex]\frac{base}{hypotenuse}= \frac{a}{c}[/tex]
So, Now finding [tex]\frac{sin\theta+cos\theta}{sin\theta-cos\theta}[/tex]
=> [tex]\frac{b}{c} + \frac{a}{c}[/tex] ÷ [tex]\frac{b}{c} - \frac{a}{c}[/tex]
=> [tex]\frac{b+a}{c}[/tex] ÷ [tex]\frac{b-a}{c}[/tex]
=> [tex]\frac{b+a}{c} * \frac{c}{b-a}[/tex]
=> [tex]\frac{b+a}{b-a}[/tex]
de un tanque lleno de agua se utiliza la cuarta parte para lavar ropa, los 5/ 6 del resto para cocinar y aun quedan 100 litros de agua ¿ cuantos litros de agua tenia el tanque?¿ cuantos litros de agua se utilizan para cocinar?
Answer:
a. 800 litros
b. 500 litros
Step-by-step explanation:
Aquí, se nos dice que 1/4 del total se usa para lavar la ropa.
Lo que queda sería 1-1 / 4 = 3/4 Fuera de esto, 5/6 se usa para cocinar.
La fracción utilizada para cocinar es 5/6 * 3/4 = 15/24 = 5/8
Y todavía nos quedan 100 litros.
La cantidad utilizada ya sería 1/4 + 5/8 = (2 + 5) / 8 = 7/8
Entonces la fracción no utilizada = 1-7 / 8 = 1/8
Ahora, es este 1/8 que corresponde a 100 litros.
Digamos que el volumen total es x litros inicialmente, Eso significa 1/8 * x = 100 x / 8 = 100 x = 800 litros
La fracción utilizada para cocinar es 5/8 del total, por lo que el valor sería 5/8 * 800 = 500 litros
Write in figures;Nine million twenty thousand four hundred and six and twenty seven thousandths.
Answer:
9,020,406.27
Step-by-step explanation:
Answer:
9,020,406.27
Step-by-step explanation:
Given: Parallelogram LMNO; MO ⊥ LN Prove: LMNO is a rhombus. Parallelogram L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. A square is drawn around point P. Sides L M and O N are parallel and sides L O and M N are parallel. ♣: ♦: ♠: I WILL GIVE BRAINLIEST PLS ANSWER
The proofing is as follows:
Given that,
|LO|=|MN| and |LM|=|ON|
It means that Opposite sides of a parallelogram are equa
Now, LN⊥OM
So,
∠LPO = ∠NPO = 90° ( by definition of perpendicular lines)
LPO ≅ ∠NPO (by definition of congruent angles)
|LP|=|PN| (diagonals of a parallelogram bisect each other)
based on this LMNO is a rhombus
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Answer:
All right angles are congruent
Reflexive property
Opposite sides of a parallelogram are congruent
Step-by-step explanation:
That what i got on my assignment
Trig work i don’t understand. pls help
Answer: A
Step-by-step explanation:
So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.
To find H we need to apply trigonometry solve for h the height.
As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is going to be using the sin formula opposite over hypotenuse.
[tex]sin(26)=\frac{h}{25}[/tex] solve for h by multiplying both sides by 25.
h= 25 sin(26)
h= 10.96 is being rounded to the nearest hundredth because that is essential
Now we know H is equal to 10.96 which is the Height so now we have all the information we need the height and the base.
Multiply 10.96 by 32 and divide it by 2.
10.96 * 32 = 350.72
350.72 /2 = 176.36
The best answer is A because that is the only best approximation to 175.35.
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)
4.- En una pastelería han preparado 30 pasteles. Los van a colocar en bandejas de forma que en cada bandeja haya el mismo número de pasteles y no sobre ninguno. ¿De cuántas formas los puede colocar?
Answer:
7 formas
Step-by-step explanation:
En la pastelería, se han preparado 30 pasteles.
Cada bandeja contendrá la misma cantidad de pasteles.
Para encontrar de cuántas maneras puedes ponerlos, tenemos que encontrar los factores de 30. Ellos son:
1, 2, 3, 5, 6, 10, 15, 30
Esto significa que podemos tener:
30 bandejas que contienen 1 bandeja cada una
15 bandejas con 2 tortas cada una
10 bandejas con 3 tortas cada una
6 bandejas con 5 tortas cada una
5 pasteles que contienen 6 pasteles cada uno
3 bandejas con 10 pasteles cada una
2 bandejas con 15 tortas cada una
Esto significa que hay 7 formas de colocar los pasteles.
How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from
yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer
Manatee Springs
Elephant
House
3,500 yds
- 200 yds
Tran Depot
2000
Bird Sanctuary
Main Gate
(SHOW WORK)
Answer:
6.04 km
Step-by-step explanation:
From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.
Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:
[tex]\frac{3500\ yards}{2000\ yards} = \frac{4200\ yards}{x}\\ x= \frac{4200\ yard*2000\ yards}{3500\ yards}=2400\ yards[/tex]
x = 2400 yards.
The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards
The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km
The distance from the main gate to Manatee Springs = 6.04 km