Answer:
The circumference of the circle is 6 cm (approximately).
Step-by-step explanation:
Given:
Area of the circle = 1/4π²
Now, to get the circumference of the circle we need the radius.
So, finding the radius by putting the formula of area:
Area = 
=
dividing π by both sides:


using square root on both the sides:

So, the radius is 
Now, putting the formula of circumference:

=
=
putting the value of π =3.14
=
=
=
Circumference = 5.56 cm
Therefore, the circumference of the circle is 6 cm (approximately).
Answer:
The amount of peanuts to use is 5 pounds and that of cashews is 30 pounds.
Step-by-step explanation:
Let the amount of peanut to use to be x
Let the amount of cashews to use to be 35-x
Form equations to compare amounts for individual foods and the mixture

So the pounds to be used for peanuts is 5 pounds
The pounds to be used for cashews will be 35-x= 35-5=30 pounds
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Mixtures : brainly.com/question/11497620
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Answer:
627200LJ
Step-by-step explanation:
Height of box=5 m
Side of square base=4 m
Volume of rectangular box=
Using the formula
Volume of rectangular box=
Density of material=
We know that

Using the formula
Mass of rectangular box=
Gravity=
Weight of rectangular box,F=
Let L be the vertical distance traveled by box
Total work done =
Therefore,total work done against gravity =
=627200 L J
Hence, the box requires work against gravity=627200LJ
The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
<h3>What is a quadratic equation?</h3>
Any equation of the form
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:

We have an equation:
x(x + 4) = 6
By distributive property:
x² + 4x = 6
x² + 4x - 6 = 0
a = 1, b = 4, c = -6
Plugging all the values in the formula:

After calculating:


Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
Learn more about quadratic equations here:
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Answer:
a) x = 30°
b) mRS = x = 30°
mST = 4x = 4(30°) = 120°
mTU = 4x = 4(30°) = 120°
mUR = 3x = 3(30°) = 90°
Question:
The complete question as found on Chegg website:
In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs
intercepted have the following ratio of measurements:
mRS : mST :MTU : mUR=1:4:4:3
(a) If mRS = x, then write an equation that could be used to solve for x
and find the value of x.
(b) State the measure of each of the four arcs.
mRS =
mST =
MTU
MUR =
Step-by-step explanation:
Find attached the diagram related to the question
mRS : mST : mTU : mUR = 1:4:4:3
Since mRS = x
Writing the ratios of the measure of angle in terms of mRS:
mST = 4× mRS = 4×x = 4x
mTU = 4× mRS = 4×x = 4x
mUR= 3× mRS = 3×x = 3x
The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)
mRS + mST + mTU + mUR = 360°
x + 4x + 4x + 3x = 360
12x = 360
x = 360/12
x = 30°
b) The measure of angle
mRS = x = 30°
mST = 4x = 4(30°) = 120°
mTU = 4x = 4(30°) = 120°
mUR = 3x = 3(30°) = 90°