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gulaghasi [49]
3 years ago
7

The weather was a youth soccer field must be at least 45 m but it cannot exceed 60 m right to inequalities that describe the wid

th,w, of a youth soccer field. Then write two integers that are solutions of both inequalities
Mathematics
1 answer:
ss7ja [257]3 years ago
7 0

Answer:

The width of the two soccer field must be given by 45\leq w\leq 60.

Assuming two Integers that are solutions of both inequalities are 45 and 60.

Step-by-step explanation:

Let the width of the youth soccer field be 'w'.

Now Given:

the width of the youth soccer field must be at least 45 m.

So we can say that;

w\geq 45 \ m

Also Given:

the width of the youth soccer field must not exceed 60 m.

So we can say that;

x\leq 60

Hence the width of the two soccer field must be given by 45\leq w\leq 60.

So we can say that;

Any Integer lying between integers 45 and 60 can be considered as the width of the youth soccer field.

So let us Assume two Integers that are solutions of both inequalities are 45 and 60.

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Help me pls. I need help with the question
likoan [24]

Answer:

$173.90

Step-by-step explanation:

The most obvious way to answer this question is to multiply $9.40 by 18.5

This would result in 173.90.

But I realize nobody like to deal with decimals in a multiplication problem, so here's the way I would do it (<em>especially if you don't have a calculator!</em>)

The strategy is to break it down!

Multiply $9.40 x 18 hours to start, since this is easier.

9.4 x 18 = 169.2

So, that's $169.20 for 18 hours of work.

We aren't finished, because Abdel worked for 18.5 hours.

So, what half of $9.40?

9.4 / 2

= 4.7

-or-

$4.70

So, knowing that Abdel makes $4.70 in half an hour, lets just add that onto the $169.20 we got earlier.

169.2 + 4.7 = 173.9

-or-

$173.90 for 18.5 hours of work!

8 0
3 years ago
What is the length of AC¯¯¯¯¯ ?
insens350 [35]

Answer:

AC = 6

Step-by-step explanation:

y is the dimension of the horizontal segment (see the attached image).

The hypotenuses are the same dimension, so:

(x+4)^2=(x/2)^2+y^2

(3x-8)^2=(x/2)^2+y^2

So,

(x+4)^2 = (3x-8)^2

x+4 = 3x-8

x-3x = -8-4

-2x = -12

x = 6

And x is the dimension of the segment AC.

7 0
3 years ago
Read 2 more answers
Evaluate each trigonometric equation for θ.
liberstina [14]

Answer:

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

Step-by-step explanation:

Let us revise the trigonometry functions

  • Sin(x) = opposite/hypotenuse
  • Cos(x) = adjacent/hypoteouse
  • Tan(x) = opposite/adjacent
  • Csc(x) = hypotenuse/opposit
  • Sec(x) = hypotenues/adjacent
  • Cot(x) = adjacent/opposite

In the given figure

The opposite side to angle Ф = 8

The adjacent side to angle Ф = 15

Find the hypotenuse using Pythagoras' theorem

Hypotenuse = \sqrt{8^{2}+15^{2}  }

Hypotenuse = \sqrt{64+225}

Hypotenuse = \sqrt{289}

Hypotenuse = 17

Let us use the rules above to find the trigonometry functions

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

4 0
3 years ago
What is the answer to |x-4|&lt;13
VARVARA [1.3K]

Answer:

<h2>The solution is -9 < x < 17.</h2>

Step-by-step explanation:

|x-4|<13.

The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.

Hence, -13 < x - 4 < 13 or, -9 < x < 17. The value of x will be in between -9 and 17. The value of x can not be -9 or 17.

7 0
3 years ago
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8 0
3 years ago
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