Answer: The value of x is 5.970.
Step-by-step explanation:
Given: The square has sides length of X cm.
Let r be the radius of the circle.
The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.
Then diagonal of square = diameter of circle
i.e. [tex]\sqrt{2}x= 2r[/tex] [Diagonal of square = [tex]\sqrt{2}[/tex](side)]
i.e. [tex]r=\dfrac{x}{\sqrt{2}}[/tex]
area of circle =[tex]\pi r^2[/tex]
i.e. [tex]56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2[/tex]
[tex]56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970[/tex]
Hence, the value of x is 5.970.
Please, I am begging. I don't understand inverses.
Answer:
0
9
-2
-23
Step-by-step explanation:
a function f(x) defines a y-value for any valid x-value.
that's why it is often written as y = f(x).
the inverse function of an original function just turns the question upside down.
now we want to see for a given y-value of the original function, what was the original x-value to get this y.
therefore we try to transform the original equation that calculates y out of x into one that calculates x out of y.
so, in our example
f(x) = y = -4x - 3
4x + y = -3
4x = -y - 3
x = (-y - 3) / 4
in order to keep the usual terminology with functions also for inverse functions, which are in the end nothing else than functions again, we then name the input variable "x" again, and the result "y".
so, the inverse function is therefore as a function of x
y = (-x - 3) / 4
for x = -3, y = (--3 - 3) / 4 = (3-3) / 4 = 0
when we have y for the inverse function looking for its corresponding x value, then we are investing the inverse function and come back to the original function.
so, for y=-3 of the inverse function that means x=-3 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.
f(-3) = -4×-3 - 3 = 12 - 3 = 9 = x of the inverse function.
for x=5 of the inverse function, y = (-5-3)/4 = -8/4 = -2
for y=5 of the inverse function that means x=5 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.
f(5) = -4×5 - 3 = -20 - 3 = -23 = x of the inverse function.
can you please please help me.
Answer:
yes
Step-by-step explanation:
yes
Answer:
[tex]x=22\text{ and } y=123[/tex]
Step-by-step explanation:
By definition, the interior angles of a triangle must sum to 180°. Therefore:
[tex](2x+13)+(57)+(3x)=180[/tex]
Combine like terms:
[tex]5x+70=180[/tex]
Subtract 70 from both sides:
[tex]5x=110[/tex]
And divide both sides by five. Hence:
[tex]x=22[/tex]
Next, notice that y and the 57° angle form a linear pair. By definition, linear pairs equal 180°. Therefore:
[tex]y+57=180[/tex]
So:
[tex]y=123[/tex]
Alternatively, we can use the Exterior Angle Theorem, which states that the exterior angle is equivalent to the sum of the two interior angles opposite to the exterior angle. In other words:
[tex]y=(2x+13)+(3x)[/tex]
Since we've determined that x = 22:
[tex]y=(2(22)+13)+(3(22))=44+13+66= 123[/tex]
We acquire the same answer.
Find the sum of the given arithmetic series.
24 + 17 + 10 + 3 + ... + (-39)
Answer:
-75
Step-by-step explanation:
-39 = 24 +(n-1)(-7)
-39 = 24 +7-7n
-39 = 31-7n
7n = 31+39
7n=70
n=10
the sum = 10/2 × (24-39)
= 5 × -15
= -75
What the midpoint ?
The midpoint formula:
[tex] \large \boxed{( \frac{x_2 + x_1}{2} , \frac{y_2 + y_1}{2} )}[/tex]
From the graph, the point starts from (-3,2) and ends at (4,-1).
Substitute these points in the formula.
[tex] \large{( \frac{ - 3 + 4}{2} , \frac{2 - 1}{2}) = ( \frac{1}{2} , \frac{1}{2} )}[/tex]
Hence the midpoint is (1/2,1/2)
Answer
(1/2,1/2) is the midpoint.Stationary points. Help ASAP please. Thanks
You can use the power rule for derivatives for each problem (though you could also use the product rule for the fourth curve).
y = x ² + 6x - 1 ==> dy/dx = 2x + 6
y = x ² - 5x + 1 ==> dy/dx = 2x - 5
y = 2 - 4x - x ² ==> dy/dx = -4 - 2x
y = (1 + x) (7 - x) = 7 + 6x - x ² ==> dy/dx = 6 - 2x
--
or, using the product rule,
dy/dx = (1 + x) (-1) + 1 (7 - x) = -1 - x + 7 - x = 6 - 2x
--
Now, stationary points occur where the derivative is zero. We have
2x + 6 = 0 ==> x = -3
2x - 5 = 0 ==> x = 5/2
-4 - 2x = 0 ==> x = -2
6 - 2x = 0 ==> x = 3
sacar el perimetro de esta figura
Answer: 6x^2 + 10x -2
Añade todos los lados de la figura y combina los términos iguales por ejemplo todos los que tienen “x” en frente, súmales
Please, help. I need to prove this.
Answer:
2. angle BAD is equal to angle DCB?
3. angle CBA is equal to angle ADC, then
4.triangle BEA is equal to triangle DEC and triangle BEC is equal to DEA
Step-by-step explanation:
since line BCD is equal to line DAB
AND line CBA is equal to line ADC
and because BEA triangle equals DEC, angles BEA and DEC are congruent
and angle BEC is equal to DEA
and yeah your right, it would be supplementary.
3. Escribe la ecuación de la elipse que cumple con:
F1(-3,0) F2(3,0) y a=4
Answer:
90
Step-by-step explanation:
The median of the data set is?
Answer:
60 is the median
Step-by-step explanation:
Take the square of every integer between $-20$ and $20$ (including $-20$ and $20$), and write them down on a list. The first few numbers in the list should be $(-20)^2 = 400$, $(-19)^2 = 361$, and $(-18)^2 = 324$. How many different numbers are there on the list
Answer:
There are 21 distinct numbers on the list
Step-by-step explanation:
Square of integers between - 20 and 20
-20² = 400
-19² = 361
-18² = 324
-17² = 289
-16² = 256
-15² = 225
-14² = 196
-13² = 169
-12² = 144
-11² = 121
-10² = 100
-9² = 81
-8² = 64
-7² = 49
-6² = 36
-5² = 25
-4² = 16
-3² = 9
-2² = 4
-1² = 1
0² = 0
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
11² = 121
12² = 144
13² = 169
14² = 196
15² = 225
16² = 256
17² = 289
18² = 324
19² = 361
20² = 400
A blue light flashes every 8 seconds.
A red light flashes every 12 seconds.
Both lights have just flashed together.
After how many seconds will both lights flash together ?
Answer:
24 seconds
Step-by-step explanation:
Given data
Blues flashes= 8 seconds
Red flashes= 12 seconds
Let us find the least common factor of 8 and 12
8= 2,4,8,16,24
12=2,3,4,6,24
Hence the number seconds is 24 seconds
what is the greatest 5 digit number which when divided by 2, 3, 4, and 5 leaves a remainder of 1 in each case
Answer:99904.
Step-by-step explanation:
Find the LCM of
5
10 = 2x5
15 = 3x5
20 = 2x2x5
25 = 5x5
LCM = 2x2x3x5x5 = 300
Take the smallest 5-digit number: 10000 and divide it by 300 to get 33.33. Round it off to 34 and multiply it by 300 to get 10200. Finally add 4 to 10200 to get 10204 which is the smallest final 5-digit number.
Check: 10204/5 = 2040 as quotient and a remainder of 4. Correct.
10204/10 = 1020 as quotient and a remainder of 4. Correct.
10204/15 = 680 as quotient and a remainder of 4. Correct.
10204/20 = 510 as quotient and a remainder of 4. Correct.
10204/25 = 408 as quotient and a remainder of 4. Correct.
Answer: 10204.
To get the greatest 5-digit number take 99999 and divide it by 300 to get 333.33. Round it off to 333 and multiply it by 300 to get 99900. Finally add 4 to 99900 to get 99904 which is the final greatest 5-digit number.
Check: 99904/5 = 19980 as quotient and a remainder of 4. Correct.
99904/10 = 9990 as quotient and a remainder of 4. Correct.
99904/15 = 6660 as quotient and a remainder of 4. Correct.
99904/20 = 4995 as quotient and a remainder of 4. Correct.
99904/25 = 3996 as quotient and a remainder of 4. Correct.
Answer: 99904.
What is a name for the marked angle?
Chose 1 answer
<EAD (2nd option)
The angle (going clockwise) goes from the line with point E on, to point A, to the line with point D on.
Not a fan of how they're naming the angles (seems messy to me) but yeah it's the 2nd one
Kelsey is solving the inequality 17+4<9 17 + 4 x < 9 . To solve the inequality, she begins by solving the equation as shown. Which number line represents the solution to the inequality? 17 + 4 x = 9. Subtract 17 from both sides. 4 x = negative 8. Divide both sides by 4. X = negative 2. CLEAR CHECK A number line going from negative 10 to positive 10. A closed circle is at negative 2. A number line going from negative 10 to positive 10. Closed circles are at negative 4, negative 3, negative 2, negative 1, 0. A number line going from negative 10 to positive 10. An open circle is at negative 2. The line is shaded to the right of the circle. A number line going from negative 10 to positive 10. An open circle is at negative 2. The line is shaded to the left of the circle.
Answer:
an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle (since the sign is "left than")
Step-by-step explanation:
Given the inequalities
17+4x < 9
Subtract 17 from both sides
17+4x -19 < 9 - 17
4x < -8
Divide both sides by 4
4x/4 < -8/4
x < -2
To represent the solution on a number line, an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle.
Emma bought two televisions at 2500 cedis each. One got slightly damaged during transportation. He sold the undamaged one at 3000 cedis and sold the damaged one at 2200 cedis. Calculate the percentage profit made by Emma.
Answer:
90%
Step-by-step explanation:
cost price of both tv = 2500
sale price of undamaged = 3000
sale price of damaged = 2200
sale price of both tv = 5200
profit = sale price - cost price
profit = 5200 - 2500
profit = 2700
profit percentage = profit × 100 ÷ cost price
profit percentage = 2700 × 100 ÷ 2500
profit percentage = 90%
please help guys
Thankyou!
I’ve been stuck on these for a while, can someone help? Thank you :) !!
Answer:
6.32
5
254.34
Step-by-step explanation:
The lengths of the missing sides can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
first missing side
7² = 3² + x²
49 = 9 + x²
x² = 49 - 9
x² = 40
x = 6.32
second missing side
3² + 4²
9 + 16
= 25
√25 = 5
Area of a circle = πr²
Where : = π = pi = 3.14
3.14 x 9² = 254.34
Find the missing angle measure
Answer:
65.5
Step-by-step explanation:
Any help on this anyone. ?
Answer:
CDEF and GHIJ
Step-by-step explanation:
This prism is composed by parallelograms. A parallelogram is composed by two pairs of parallel lines
two parallelograms that are parallel can be: CDEF and GHIJ
A turkey has a mass of 6 kilograms. A bag of sweet potatoes has a mass of 2 kilograms. How many more grams does the turkey weigh than the sweet potatoes?
Answer:
the correct answer is 4,000 grams
MATH HELP PLEASE! Last question due in 20 minutes
9514 1404 393
Answer:
all space diagonals meet in the center of the prism
Step-by-step explanation:
The center of the prism is halfway between any pair of parallel faces. The dimension to it is half the dimension between the faces.
One way to find it is by seeing where the space diagonals meet.
-5+(-4)
Adding and subtracting intergers
Answer:
9
Step-by-step explanation:
Integer
Will give BRAINLIEST to the correct answer.
Use a calculator. Round to the nearest tenth of a degree.
Given cos 0 = 0.9326, find 0.
Pls help ASAP I’m so lost with this and I need this done quick
Answer:
the slope of the graph is 3/2
Step-by-step explanation:
Which function's graph has a period of 2?
O A. y = cos -
y = cos(x - 22
O B. y = 2 sinax
O C. y = 3cosx
O D. y = -4 sin 2x
Answer:
I BELIEVE ITS C {^_^}
Step-by-step explanation:
The trigonometric function y = 3cos(πx) has a period 2.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.
a is the function's amplitude.
The function's wavelength is b.
The phase shift of a function is c.
We already know that y = cosx has a 2 period.
The period is calculated as T= 2π/b and if T = 2.
y = 3cosx
2=2π/b
b= 2π/2 = π.
learn more about trigonometric functions here :
https://brainly.com/question/6904750
#SPJ7
Find the missing side length, and enter your answer in the box below. If necessary, round your answer to 2 decimal places.
Answer:
75
Step-by-step explanation:
87°
Step-by-step explanation:
We know that sum of angles of triangle is 180 ° .
Let as assume that the length of missing side be x.21° + 72° + x = 180°
combine like terms
93 ° + x = 180 °
Subtract 93 ° from each side
93° - 93° + x = 180° - 93°
x = 87 °
what is 7 divide 550
78.5714286..answer ..........
0.0127
Step-by-step explanation:
the answer is recurring
The formula for the volume of a cylinder is Y = gr). Solve y = grn for h, the height of the cylinder. O A. = O B. has Yr2 OC. h - TV O D. h =
PLEASE HELP ASAPPPPPPPPPPPPP
Will
Give
Brainlist
Write the sentence as an equation
The quotient of -112 and 8 amounts to -14
Answer: -112/8=-14
Step-by-step explanation: Quotient means to divide.
Can someone help me? It's urgent and thank you!
Also pls look at the other 2 pictures!
Answer:
14x^3 LCD
(35x+4) / 14x^3
Step-by-step explanation:
5 /2x^2 + 2 / 7x^3
We need to find the least common denominator
2x^2 =2 *x*x
7x^2 = 7*x*x*x
x*x is common so we need to multiply that by 2*7*x
The least common denominator is 2*7*x*x*x = 14 x^3
To add the two, multiply to get the common denominator)
5/2x^2 * (7x/7x) + 2/7x^3 *(2/2)
35x/14x^3 + 4/14x^3
(35x+4) / 14x^3