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2 years ago

Find the surface area and round to the nearest hundredths place when necessary.

Mathematics

1 answer:

pashok25 [27]2 years ago

6 0

Answer:

First lets find the area of the bottom circle:

7.2 is your radius so:

7.2^2 = 51.84 the reason why you square your radius is because thats apart of the formula when finding the are of a circle.

lets continue:

51.84 x 3.14(pi) = 162.7776

Now we need to find the area of the round surface but first we need to find the circumference of one circle and multiply it by the height.

2 x 3.14 x 7.2 = 45.216

Now lets multiply it by the height:

45.216 x 17 = 768.672

Now lets add both areas:

768.672 + 162.7776 = 931.4496 dont forget to round to the nearest hundredths place! 931.4496 rounded up = 931.45 square meters is your answer.

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What is the value of x when y has a value of -9 ? -3x = y + 51

andreyandreev [35.5K]

The best option here is option B) -14

3 0

3 years ago

Find the solutions to x⁴-64=0 and the x-intercepts of the graph of y=x⁴-64.

Setler [38]

Answer:

1. $x_1=2\sqrt{2}\\x_2=-2\sqrt{2}\\x_3=i2\sqrt{2}\\x_4=-i2\sqrt{2}$

2. $A=(2\sqrt{2},0)$ and $B=(-2\sqrt{2},0)$

Step-by-step explanation:

We have the expression $x^4-64=0$ to find the solutions we have to clear $x$ . Then,

$x^4-64=0$ Add 64 in both sides of the equation.

$x^4-64+64=64\\x^4=64$

Now we have to re-write the equation:

$u=x^2$ ⇒ $u^2=(x^2)^2\\u^2=x^4$

Then,

$u^2=64$

Apply square root on both members

$\sqrt{u^2}=\sqrt{64}\\u=8 , u=-8$

Now substitute back $u=x^2$

1. $x^2=8$

2. $x^2=-8$

Solving for x:

1. $x=+\sqrt{8}=\sqrt{2^3}=\sqrt{2^2}.\sqrt{2}\\x=2\sqrt{2}\\or\\x=-\sqrt{8}\\x=-2\sqrt{2}$

2. $x=+\sqrt{-8}=\sqrt{(-1).8} =\sqrt{-1}\sqrt{8} \\x=i\sqrt{8}\\x=i.2\sqrt{2} \\or\\x=-\sqrt{-8}\\x=-i.2\sqrt{2}$

Then the solutions for $x^4-64=0$ are:

$x_1=2\sqrt{2}\\x_2=-2\sqrt{2}\\x_3=i2\sqrt{2}\\x_4=-i2\sqrt{2}$

To find the x intercepts of the graph $y=x^4-64$ we have to replace with y=0.

This means: $x^4-64=0$

We already found the solutions for the expression, but we have to consider only the real solutions.

$x_1=2\sqrt{2}\\x_2=-2\sqrt{2}$

Because in a graph we can't have imaginary solutions.

Then the x intercepts of the graph are:

$A=(2\sqrt{2},0)$ and $B=(-2\sqrt{2},0)$

The graph of the function is:

3 0

3 years ago

3. Basket A had 7 times as many plums as basket B at first. Zoe put 58 more plums in each

asambeis [7]

Answer:

87 many more plums are there in Basket A than Basket B

Step-by-step explanation:

Before

N = 58/2

Basket A = N x 7 + 58

Basket B = N x 7

Now

Basket A = 29 x 7 + 58

= 261/3

= 87

Basket B = 29 x 7

= 203 + 58

= 261/3

= 87

Basket A and B has a difference of 87 Plums

:) Thank you!!

4 0

2 years ago

The diameter of Circle terminates on the circumference of the circle at (3,0) and (3,−7).. Write the equation of the circle in

Verdich [7]

Step-by-step explanation:

that means the center of the circle is exactly in the middle between the 2 points.

and since both points have the same x value (so, the diameter here is a vertical line), it is ready to get the y value of the middle : (-7 - 0) / 2 = -3.5

so, the coordinates of the center are (3, -3.5).

and that makes the standard circle equation

(x - h)² + (y - k)² = r²

(x - 3)² + (y + 3.5)² = 3.5² = 12.25

as h, k are the coordinates of the center, and r is the radius (half the diameter).

7 0

2 years ago

Solve for X and Y: <br> Y=2+7x and -2x+6y=-28

Furkat [3]

Answer:

x=-1 and y=-5

Step-by-step explanation:

ሰላም!

Given expressions let them given as two equations

y=2+7x....... equation (1)
-2x+6y=-28..... equation (2)

Thus, substitute y=2+7x into equation (2)

$- 2x + 6(2 + 7x) = - 28 \\$

simplify it

$- 2x + 12 + 42x = - 28 \\ 40x + 12 = - 28$

subtract 12 from both sides

$40x + 12 - 12 = - 28 - 12 \\ 40x = - 40$

divide both sides by 40

$\frac{40x}{40} = \frac{ - 40}{40} \\ x = - 1$

Therefore, as we get the value of x=-1 substitute it to equation (1) and solve for variable y

$y = 2 + 7x \\ y = 2 + 7( -1 ) \\ y = 2 - 7 \\ y = - 5$

To be more sure make a cross check on both of the two expressions

Thus,

1) y=2+7x .... substitute y=-5 and x=-1 and check if it is equal

-5=2+7(-1)

-5=2-5

-5=-5

2)-2x+6y=-28... substitute and check

-2(-1)+6(-5)=-28

2-30=-28... (-a)(-b)=ab

-28=-28

Hope it helps!

6 0

1 year ago