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3 years ago

I

Mathematics

1 answer:

Stolb23 [73]3 years ago

6 0

Answer:

The deep of the sand will be 3.5 feet

Step-by-step explanation:

step 1

Find out the area of the court plus a 10-foot boundary around the court for safety

$A=(30+10+10)(60+10+10)\\A=(50)(80)\\A=4,000\ ft^2$

step 2

Find the deep of the sand

we know that

The volume of the sand is equal to

$V=Ah$

where

A is the area of the base

h is the height or deep of the sand

substitute the given values

$14,000=(4,000)h$

Solve for h

$h=14,000/4,000=3.5\ ft$

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The variable Z is directly proportional to X. When X is 5, Z has the value 55.

Mashutka [201]

Z is directly proportional to x, that means :
z = k.x, with k is the coefficient of proportionality:
Let calculate k:
When x = 5, z = 55. Plug in:
55 = k.5 → k=55/5 ; k =11
The value of z when = 12 is : z= kx; z = 11(12) and z = 132

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3 years ago

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Marysya12 [62]

Answer:

x = 3 ; y=2

Step-by-step explanation:

to simplify the work we can build a system of two equations

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Verify

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2 years ago

Find the product. 87.8 x 2.8 (

bearhunter [10]

Answer:

245.84

Step-by-step explanation:

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2 years ago

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onsider the equation 0.5 times e4z =13 solve the equation for z. express the solution as a logarithm in base e

olga_2 [115]

Answer:

$z=\frac{ln(26)}{4}$

Step-by-step explanation:

The given equation is:

$0.5\,e^{4z}=13$

so, we first isolate the exponential form that contains the unknown "z" in the exponent, by dividing both sides by 0.5:

$0.5\,e^{4z}=13\\e^{4z}=\frac{13}{0.5}\\e^{4z}=26$

Now we bring the exponent down by applying the natural log function on both sides, and then solve for "z":

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3 years ago

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grin007 [14]

Answer:

1. plants

2. together

3. is

4. family

5. talking

6. weeds

7. experience

8. planter

9. on

10. fields

11. too

12. method

13. around

14. react.

Explanation:

The given passage talks about the impact of chemicals on the ecosystem. The speaker narrates how the ecology belongs to plants, animals, and humans, though man seemed intent to destroy it for himself.

The blanks in the given passage are filled with the appropriate words as follows-

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3 years ago