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stiks02 [169]
2 years ago
12

The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t

han the width, x, which interval can be the possible widths?
Mathematics
1 answer:
Usimov [2.4K]2 years ago
4 0
 The answer to the question is 300 square feet
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Would appreciate an explanation. PLEASE ANSWER THIS
Radda [10]

c^2 = a^2 + b^2 - 2*ab*Cos(C)

c = 16; a = 17; b = 8 (what you call a and b don't really matter. c does). Substitute.

16^2 = 17^2 + 8^2 - 2*17*8*Cos(C) Add the first 2 on the right.

256 = 289 + 64 - 282*cos(C)

256 = 353 - 282*cos(C) Whatever you do, don't do any more combing on the right side. Subtract 353 from both sides.

-97 = -282 * cos(C ) Divide by 282

0.34397 = cos(C)

cos-1(0.34397) = C ; C = 69.88 degrees.


Do you need more help on this question? All of these are done the same way.

8 0
2 years ago
Evaluate the function rule for the given value. y = 6 · 2^x for x = -2
strojnjashka [21]

Answer:

A

Step-by-step explanation:

To evaluate, substitute x= -2 into the equation y = 6*2^x.

y = 6*2^2\\y = 6*2^(-2)\\y = 6*\frac{1}{4}\\y = \frac{3}{2}

8 0
2 years ago
You want to rent a television. Company A charges 50$ per week plus a one time fee of 15$. Company B charges 30$ per week plus a
SCORPION-xisa [38]

Answer: 2 weeks

Step-by-step explanation:

4 0
2 years ago
A machine shop produces heavy duty high endurance 20-inch rods that are meant for use in a variety of military grade equipment.
QveST [7]

Answer:

The probability that a defective rod can be salvaged = 0.50

Step-by-step explanation:

Given that:

A machine shop produces heavy duty high endurance 20-inch rods

On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.

If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.

Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20  - 15 )inches

Now:

P(X ≤ 5) = \dfrac{5}{20}

= 0.25

P(X ≥ 15) = \dfrac{5}{20}

= 0.25

The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)

= 0.25+0.25

 = 0.50

∴ The probability that a defective rod can be salvaged = 0.50

4 0
2 years ago
Michael went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 40 grams of sugar and
Fudgin [204]
40x+20y=300
x= amount of soda bottles
y= amount of juice bottles

Solving this equation, finding x&y will give you the number of each bottles!

I hope this helped!

~ Penny
8 0
2 years ago
Read 2 more answers
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