a 12 foot tall building casts on 8 foot long long shadow. how long of a shadow will a 5 foot tall women have

The surface areas of two similar solids are 312 ft2 and 1,198 ft2. The volume of the smaller solid is 239 ft3. What is the volum

marin [14]

Answer:

The volume of the larger solid is $1,798\ ft^{3}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar , then the ratio of its surface areas is equal to the scale factor squared

so

Let

z-------> the scale factor

x-------------> surface area larger solid

y-------------> surface area smaller solid

$z^{2} =\frac{x}{y}$

substitute

$z^{2} =\frac{1,198}{312}$

$z=\sqrt{\frac{1,198}{312}}$ ----> scale factor

step 2

Find the volume of the larger solid

we know that

If two figures are similar , then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z-------> the scale factor

x-------------> volume of the larger solid

y-------------> volume of the smaller solid

$z^{3}=\frac{x}{y}$

we have

$z=\sqrt{\frac{1,198}{312}}$

$y=239\ ft^{3}$

substitute the values

$(\sqrt{\frac{1,198}{312}}^{3})=\frac{x}{239}$

$x=239*(\sqrt{\frac{1,198}{312}}^{3})=1,798\ ft^{3}$

5 0

2 years ago

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A battery factory typically produces 12,000 batteries per day and uses 50 boxes for packing the batteries. If the number of boxe

weqwewe [10]

Answer:

25 more boxes is needed

Step-by-step explanation:

12000 batteries require 50 boxes. Let's find the unit rate.

That is, how many batteries are in each box??

That's 12,000/50!

12,000/50 = 240 batteries per box

Now, to find how many boxes we would need for 18,000 batteries, we will have to divide the total (18000) by 240(number of batteries per box). That is:

18,000/240 = 75 boxes

We would need 75 boxes to pack 18,000 batteries.

We want "how many MORE boxes needed", so we will the excess:

75 - 50 = 25 more boxes is needed

4 0

2 years ago

Leo needs 10 red roses and 15 pink daisies for every 5 bouquets he makes for a flower shop. Drag red roses and pink daisies into

Lelechka [254]

For this equation, you need only 2 red roses and 3 pink daisies to make 1 boutique.
So, just multiply 3 * 2 and 3 * 3.
Which is 6 and 9, then add the two together = 15.
Hope this helps!!

8 0

2 years ago

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If quadrilateral PQRS is a rectangle, then which of the following is true?

brilliants [131]

∠STP ≅ ∠QTR is the True statement ⇒ answer C

Step-by-step explanation:

In any rectangle

1. Each two opposite sides are equal and parallel

2. The measure of its vertex angles is 90°

3. The two diagonals are equal

Now lets find the true statements

∵ PQRS is a rectangle

∴ PS = QR ⇒ opposite sides

∴ PQ = SR ⇒ opposite sides

∴ PR = QS ⇒ diagonals

A. ∠PSQ ≅ ∠QSR

∵ The diagonals of the rectangle do not bisect the vertex angles

∴ AQ does not bisect angle S

∴ m∠PSQ ≠ m∠QSR

∴ ∠PSQ not congruent ∠QSR

∠PSQ ≅ ∠QSR ⇒ False

B. segment SR ≅ segment RQ

∵ SR and RQ are two adjacent sides

∵ The adjacent side in the rectangle not equal

∴ SR ≠ QR

∴ segment SR not congruent to segment RQ

segment SR ≅ segment RQ ⇒ False

C. ∠STP ≅ ∠QTR

∵ PR intersects QS at point T

∴ m∠STP = m∠QTR ⇒ vertically opposite angles

∴ ∠STP ≅ ∠QTR

∠STP ≅ ∠QTR ⇒ True

D. segment PS ≅ segment PR

∵ PS is a side in the rectangle

∵ PR is a diagonal in the rectangle

∵ The side of the rectangle not equal the diagonal of the rectangle

∴ PS ≠ PR

∴ segment PS not congruent to segment PR

segment PS ≅ segment PR ⇒ False

∠STP ≅ ∠QTR is the True statement

Learn more:

You can learn more about rectangle in brainly.com/question/6594923

#LearnwithBrainly

8 0

2 years ago

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Consider f(x) = 1.8x – 10 and g(x) = −4. A 2 column table with 6 rows. The first column, x, has the entries, negative 4, 0, 2, 4

viktelen [127]

Answer:1.8x – 10 = –4; x = 1.8 x minus 10 equals negative 4; x equals StartFraction 10 Over 2 EndFraction.

1.8 - 10= -4 x= -10/9

Step-by-step explanation:

5 0

2 years ago

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