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ryzh [129]
3 years ago
10

The Garzas have a kiddie pool and an adult swimming pool in their backyard. The kiddie pool is 7 feet long. The adult swimming p

ool is 42 feet long. How many times as long as the kiddie pool is the adult swimming pool?
Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0

Given:

The kiddie pool is 7 feet long. The adult swimming pool is 42 feet long.

To find:

How many times as long as the kiddie pool is the adult swimming pool?

Solution:

Let adult swimming pool is x times the kiddie swimming pool.

42=x\times 7

42=7x

Divide both sides by 7.

\dfrac{42}{7}=\dfrac{7x}{7}

6=x

Therefore, adult swimming pool is 6 times the kiddie swimming pool.

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i believe the answer you are looking for is 1?

Step-by-step explanation:

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It might be D but i dont know
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Answer:

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2 years ago
You need to paint a decorative garden ornament that is in the shape of pyramid with a square base
KATRIN_1 [288]

Step-by-step explanation:

Total Surface area of a pyramid is given as

= Lateral surface area + area of base.

Lateral surface area = 1/2×perimeter of base×slant height

given the base is square with side 9 in , and slant height of 12 inches.

therefore, LSA = 1/2(9*4)×12 = 216 in^2

Now, TSA = LSA + Base area = 216+9^2 = 297 in^2

a) It is given that the pyramid is smaller therefore, it will require lesser paint than the original pyramid ( The TSA of the smaller pyramid cannot be calculated as its dimentions are not given).

b) It can not be solved as dimensions are missing in the question.

However, the logic has been explained in the soluion one easily put values to find the solution.

7 0
3 years ago
A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft
Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature  (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

\frac{T(t2)-T(t1)}{t2-t1} ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

\frac{27 - 46}{15 - 0} = -h (27 - Tenv)

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)

Now we have a system of two equations and two variables

\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18

The refrigerator was at around 13 ∘C

6 0
3 years ago
Which glide reflection describes the mapping triangle ABC triangleDEF?
ZanzabumX [31]
In order to visualize the transformations, we must execute the transformation in the options

The first transformation would shift triangle ABC 3 units to the left and reflect it across x = 4. This will not map ABC unto DEF.

The second transformation would shift triangle ABC 7 units down and reflect it across x =4. This will map ABC unto DEF,

So, the answer is the second option.
5 0
3 years ago
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