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2 years ago

Find the value of x. x = [?]

Mathematics

1 answer:

zubka84 [21]2 years ago

6 0

Answer:

x = 14 units

Step-by-step explanation:

Distance of both the chords from the center of the circle is 9 units.

-> Both the chords are equal. (Chords equidistant from the center of the circle are equal)

Perpendicular drawn from the center of the circle bisects the chord.

-> Measure of one chord = 7 + 7 = 14 unit

-> Measure of the other chord = 14 units

-> x = 14 units

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The Social Justice Club is going to rent a mammoth barbeque to cook the hot dogs for the hot dog sale After contacting three ren

zimovet [89]

Answer:

(A)Cost of Rental A, C= 15x

Cost of Rental B, C=5x+50

Cost of Rental C, C=9x+20

(B)

i. Rental C ii. Rental A iii. Rental B

Step-by-step explanation:

Part 1

Let x be the number of hours of the barbeque use by the club.

Rental A: $15/h

Cost of Rental A, C= 15hx

Rental B: $5/h + 50

Cost of Rental B, C=5x+50

Rental C: $9/h + 20

Cost of Rental C, C=9x+20

Part 2

The graph of the three models is attached below

Part 3(11.05-4.30)

If the barbecue's usage hour is from 11.05 to 4.30 when the football match ends.

Number of Hours between 11.05am and 4.30pm=4 hours 25 Minutes = 4.42 Hours

Cost of Rental A, C= 15x=15(4.42)=$66.30

Cost of Rental B, C=5x+50 =5(4.42)+50=$72.10

Cost of Rental C, C=9x+20=9(4.42)+20=$59.78

Rental C should be chosen as it offers the lowest cost.

Part 4 (11.05-12.30)

Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours

Cost of Rental A, C= 15x=15(1.42)=$21.30 Cost of Rental B, C=5x+50 =5(4.42)+50=$57.10 Cost of Rental C, C=9x+20=9(4.42)+20=$32.78

Rental A should be chosen since it offers the lowest cost.

Part 5

If the barbecue is returned the next day, say after 24 hours

Cost of Rental A, C= 15x=15(24)=$360 Cost of Rental B, C=5x+50 =5(24)+50=$170 Cost of Rental C, C=9x+20=9(24)+20=$236

Rental B should be chosen as it offers the lowest cost.

6 0

3 years ago

The radius of a circle is equal to half of its diameter. What is the RADIUS of this circle?

Gekata [30.6K]

If the diameter is 18, the radius would be nine. Someone please tell me if I missed something.

8 0

3 years ago

Read 2 more answers

Which classification best describes the following system of equations? X=5, y=6, -x-y+z=0

PolarNik [594]

I don't see any answer choices, but because it already gives you x and y, all you have to do is plug them into the equation.
-(5)-(6)+z=0
combine like terms
-11 + z = 0
add 11 to both sides
z = 11 is your answer

7 0

3 years ago

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EXPLAIN why we placed the value of x= 4/3( the minimum value) into the equ of gradient(dy/dx) [in the answer, marking scheme att

aliina [53]

$y=x(x-2)^2$
$\implies y'=(x-2)^2+2x(x-2)=3x^2-8x+4=(3x-2)(x-2)=0$
$\implies x=\dfrac23,x=2$

are the critical points, and judging by the picture alone, you must have $b=\dfrac23$ and $a=2$ . (You might want to verify with the derivative test in case that's expected.)

Then the shaded region has area

$\displaystyle\int_0^2x(x-2)^2\,\mathrm dx=\dfrac43$

I'll leave the details to you.

Now, for part (iv), you're asked to find the minimum of $\dfrac{\mathrm dy}{\mathrm dx}=y'$ , which entails first finding the second derivative:

$y'=3x^2-8x+4$
$\implies y''=6x-8$

setting equal to 0 and finding the critical point:

$6x-8=0\implies x=\dfrac86=\dfrac43$

This is to say the minimum value of $\dfrac{\mathrm dy}{\mathrm dx}$ *occurs when $x=\dfrac43$ *, but this is not necessarily the same as saying that $\dfrac43$ is the actual minimum value.

The minimum value of $\dfrac{\mathrm dy}{\mathrm dx}$ is obtained by evaluating the derivative at this critical point:

$m=\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=4/3}=3\left(\dfrac43\right)^2-8\left(\dfrac43\right)+4=-\dfrac43$

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3 years ago

Type the correct answer in each box. Use numerals instead of words. Consider the equation below. x/h+1=-2 The value of x in term

arlik [135]

Answer:

x = -3h

x = -12

Step-by-step explanation:

Given equation is $\frac{x}{h}+1=-2$