Which choices are equivalent to the fraction below? Check all that apply. 30 36

AURORKA [14]

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

h = 0.6 m

π = 3.14

Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912

= 3,432 m²

8 0

3 years ago

the number of cakes baked varies directly with the number of hours the caterers work. What is the ratio of cakes baked to hours

aniked [119]

The required ratio of cakes baked to hours worked = 30: 1

Concept:

We know that a ratio is a term in mathematics that signifies how many times one value contains the other.

Given: The number of cakes baked varies directly with the number of hours the caterers work.

Explanation:

From the given graph, it can observe that,

30 cakes are made in 1 hour. ( When we draw a vertical line from x = 1 to the curve, we get y=30 i.e. point is ( 1,30).

The required ratio of cakes baked to hours worked = 30: 1

Learn more:

brainly.com/question/24728840

5 0

3 years ago

Helpppppppppppppppppppppppppppppppp

nirvana33 [79]

Answer:

$= 15.6 \times 18 \\ = 280.8 \: {in}^{2} \\ = > \: six \: sides \\ = 280.8 \times 6 \\ = 1684.8 \: {in}^{2}$

8 0

3 years ago

CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION

Murljashka [212]

Answer:

The value of DC is 66.34.

Step-by-step explanation:

The triangles ABC and DCA are right angled triangles.

The straight line AC is a bisector for angles C and A.

The measure of ∠C is 30°.

Then the measure of angles BCA and ACD will be 15° each.

The measure of angle DAB is 150°.

Then the measure of angles DAC and BAC will be 75° each.

Now consider the right angled triangle ABC.

The measure of side AC is:

$AC^{2}=AB^{2}+BC^{2}\\AC=\sqrt{AB^{2}+BC^{2}}\\=\sqrt{4^{2}+(10\sqrt{3})^{2}}\\=\sqrt{316}$

Consider the right angled triangle DCA.

The angle DAC measure 75°.

Using the trigonometric identities compute the value of Perpendicular DC as follows:

$tan\ 75^{o}=\frac{DC}{\sqrt{316}}\\\\DC=3.732\times\sqrt{316}\\\\DC=66.34$

Thus, the value of DC is 66.34.

7 0

3 years ago

at the craft store , alan bought a bag of orange and green marbles. the bag contained 25 marbles, and 40% of them where orange.

Kazeer [188]

Answer:

There are 10 orange marbles

Step-by-step explanation:

There are 25 marbles in the bag

40% are orange

To determine the number of orange marbles, we multiply the total number of marbles by the percent that are orange

25 *40% = number of orange marbles

25*.40

10

There are 10 orange marbles

4 0

3 years ago

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