Given that z is inversely proportional to t. When t = 9,z = 28. Find a) the value of z when t = 12 b) the value of t when z = 36
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The side length of the cube is 13 feet.

We have given that

Lateral area of a cube = 676 square feet

We have to determine the side length of the cube

So here we use the formula of the lateral surface area of the cube.

[tex]L=4side^2[/tex]

L=676,and side =a

[tex]676=4a^2[/tex]

divide both side by 4

[tex]\frac{676}{4}=a^2[/tex]

[tex]169=a^2[/tex]

Taking square root on both side of equation we will get

[tex]13=a[/tex]

Therefore, Side length of the cube is 13 feet.

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Answer:

13

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The volume of the half part of a cylinder of 60 cm high and 14 cm in diameter is 1470π cm³.

volume of a cylinder = πr²h

where

Therefore,

r = 14 / 2 = 7 cm

h = 60 cm

volume of the cylinder = π × 7² × 60

volume of the cylinder = π × 49 × 60

volume of the cylinder = 2940π cm³

The volume of the half part = 2940π / 2 = 1470π cm³

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Answer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWER

Answer:

0.

Step-by-step explanation:

1.8 + 3.4 = 5.2.

The sum of two sides is less than the length of the third side (5.6 cm)  so the answer is 0 triangles,

Answer:

(-5,-1)

Step-by-step explanation:

Answers:

10.) [tex]\displaystyle \pm{5}[/tex]

9.) [tex]\displaystyle 1\frac{1}{2}[/tex]

8.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]

7.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]

6.) [tex]\displaystyle \pm{\frac{1}{2}}[/tex]

Step-by-step explanations:

10.) [tex]\displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}[/tex]

9.) [tex]\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}[/tex]

8.) [tex]\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]

7.) [tex]\displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]

6.) [tex]\displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}[/tex]

I am joyous to assist you at any time.

Answer:

C

Step-by-step explanation:

The answer is C because if you look at the shape carefully, there are two shapes. The measurements for the shape going up and down is (6 x 2 x 4) and the measurements for the shape going from left to right is (8 x 4 x 2).

I wasn't entirely sure how to explain this but I really hope this helps!

Answer:

A and C

those are the two ways to find surface area on that shape without overlap

Answer:

55833 that may answer

Step-by-step explanation:

thanktou

Answer:

x = 8

Step-by-step explanation:

Answer:

x = 8

m∠M = 52°

m∠K = 52°

m∠L = 128°

m∠J = 128°

Step-by-step explanation:

If the given shape is a parallelogram, its opposite interior angles are equal.

⇒ m∠M = m∠K

⇒ 7x - 4 = 5x + 12

Subtract 5x from both sides:

⇒ 2x - 4 = 12

Add 4 to both sides:

⇒ 2x = 16

Divide both sides by 2:

⇒ x = 8

Substitute found value of x into the expressions for each angle to find the measures of the angles:

⇒ m∠M = 7(8) - 4 = 52°

⇒ m∠K = 5(8) + 12 = 52°

As the angles on the same side of the transversal in a parallelogram sum to 180°, then

⇒ m∠J + m∠M = 180°

⇒ m∠J = 180° - m∠M

⇒ m∠J = 180° - 52°

⇒ m∠J = 128°

As m∠L = m∠J  then m∠L = 128°

None of these choices are correct

The down side of the shape is unknown and cannot be found, therefore you cannot find the perimeter of the shape.

Eman's unit rate given the miles he skateboarded and the hours is 12 miles per hour.

The unit rate is the same as average speed. Average speed is the total distance travelled per time. The unit rate can be determined by dividing the distance by the time.

Average speed = total distance / total time

24/2 = 12 miles per hour

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Answer:
Hope this helps <3

Step-by-step explanation:

(I color coded them and named them for you so that you wouldn’t have trouble with finding the points <3)

Answer:

1,000,000 cm³

Step-by-step explanation:

A cube has 3 dimensions of equal measure:  length, width and height

To determine the volume of a cube, we multiply the dimensions:

⇒ volume of a cube = length × width × height

1 metre = 100 centimetres

Therefore, for a cube with a length, width and height of 100 cm:

⇒ volume = 100 cm × 100 cm × 100 cm

                 = 1,000,000 cm³

Answer:

n=3m+5

n−2m=3

\hboxsubstitute3m+5forninthesecondequation:

3m+5−2m=3

m+5=3

m=3−5

m=−2

n=3m+5

n=3×(−2)+5

n=−6+5

n=−1

(m,n)=(−2,−1)

The answer is C.

Answer:

it classified as a

error.

Step-by-step explanation:

Answer:

not a solution

Step-by-step explanation:

substitute the coordinates of the point into both equations and compare values on both sides. If both equations are true then the point is a solution.

2(2) - 4(- 1) = 4 + 4 = 8 ← true

- 3(2) + 6 = - 6 + 6 = 0 ≠ - 1

then (2, - 1 ) is not a solution of the system

Answer:

That is true!

[tex]1,200 * 11 = 13,200[/tex]

Let me know if you need more help with multiplication. I may be able to help.

Have a great day.

Answer:

the anwer is b

I did the math

820 rodents in total

------------------------------------

create a proportional equation:

[tex]\sf \dfrac{present \ rodents}{present \ marked \ rodents} = \dfrac{later \ rodents}{later \ marked \ rodents}[/tex]

[tex]\hookrightarrow \sf \dfrac{x}{41} = \dfrac{320}{16}[/tex]                               ( Let the total population be x )

[tex]\hookrightarrow \sf x= \dfrac{320*41}{16}[/tex]

[tex]\hookrightarrow \sf x= 820[/tex]

Let that be x

[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{16}{320}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{1}{20}[/tex]

[tex]\\ \rm\Rrightarrow x=41(20)=820[/tex]

Answer:

5/2

Step-by-step explanation:

to find the reciprocal you just flip the fraction.

Answer:

the answer is 5/2 because reciprocal means to flip the equation

Step-by-step explanation:

Answer:

13 not including Shawna

Step-by-step explanation:

First, you have to take into account that the remainder is 1, so you must subtract 1 from 40, giving you 39. 39/3 is 13, so 13 is your final answer.

Answer:

13

Step-by-step explanation:

13 x 3=39. There is one remaing, +1 = 40.

Answer:

-148/3 or -49.3

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

x and y are in the ratio: 1 : 4

which means that if y is 35 x is 4 times y equating to 140

hence if x is 70 then y is 17.5

Answer:

Answer:divide by 2Step-by-step explanation:16 divide by 2 =8 divide

Step-by-step explanation:

Answer:

103

Step-by-step explanation:

To find the nearest liter look at the 4th digit in the actual number, 103.468. Since the value of 4 is less than 5 you'll round down to 0 making the nearest liter 103.

The cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

To find area of the composite figures,

The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,

[tex]A_r=3\times4\\A_r=12\rm \;ft^2[/tex]

The radius of the semicircle is 1.5 m. The area of the semicircle is,

[tex]A_{sc}=\dfrac{1}{2}\pi\times(1.5)^2\\A_{sc}=\dfrac{1}{2}(3.14)\times(1.5)^2\\A_{sc}=3.5325\rm\; ft^2[/tex]

The area of the composite figure is,

[tex]A=12+3.5325\\A=15.5325\rm\;ft^2\\[/tex]

The rate of  painting is $2.00 per square foot. Thus the cost to paint the figure is,

[tex]A=15.5325\times2\\A=31.065[/tex]

Hence, the cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

Learn more about the area  of composite figures here;

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Answer:31

Step-by-step explanation: