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Sergio [31]
3 years ago
11

Mr. Thompson received a water bill for $85.98. The bill covered three months of service. He used the same amount of water each m

onth. How much does Mr. Thompson pay for water each month?
Mathematics
2 answers:
Darya [45]3 years ago
8 0
The answer is blow me

muminat3 years ago
5 0
$28.66... Divide 85.98 by 3. You do that because his water bill is 85.98 and he pays the same amount each month for three months, so divide by 3...

$28.66 is the answer

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Given that cos(theta) = 8/17 and that theta lies in Quadrant IV, what is the exact value of sin 2(theta)?
Deffense [45]

Answer:    -\frac{240}{289}

=========================================================

Explanation:

Use the pythagorean trig identity \sin^2(\theta)+\cos^2(\theta) = 1 and plug in the fact that \cos(\theta) = \frac{8}{17}\\\\

Isolating sine leads to \sin(\theta) = -\frac{15}{17}\\\\. I'm skipping the steps here, but let me know if you need to see them.

The result is negative because we're in quadrant 4, when y < 0 so it's when sine is negative.

Therefore,

\sin(2\theta) = 2\sin(\theta)\cos(\theta)\\\\\sin(2\theta) = 2*\left(-\frac{15}{17}\right)*\left(\frac{8}{17}\right)\\\\\sin(2\theta) = -\frac{240}{289}\\\\

6 0
2 years ago
The lengths of the
Dmitrij [34]

Answer:

S_{\Delta ABC} = 4·S_{\Delta EDC}

Step-by-step explanation:

From the midpoint theorem, which states that the line that a line drawn such that it joins the midpoints of two sides of a triangle, is parallel to the third side of the triangle and is equal to half the length of the third side

Therefore, the lengths of the sides of ΔDEF, drawn by joining the midpoints of ΔABC is equal to half the length of and parallel to the corresponding side of ΔABC

We therefore, have that the corresponding sides of ΔABC and ΔDEF have a common ratio and a pair of sides in each triangle form same angles, therefore;

ΔDEF is similar to ΔABC by Side, Side, Side SSS similarity.

The length of the perimeter of ΔABC, S_{\Delta ABC} = 2 × The length of the perimeter of triangle ΔEDC, S_{\Delta EDC}

S_{\Delta ABC} = 2 ×  S_{\Delta EDC}

∴  S_{\Delta ABC}  ≠ 4 ×  S_{\Delta EDC}

The statement which is incorrect is therefore;

S_{\Delta ABC}  = 4 ×  S_{\Delta EDC}.

4 0
3 years ago
In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Masja [62]

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

3 0
3 years ago
benny had 266 dollars to spend on 9 books. After buying them he had 14 dollars. How much did each book cost?
Anastaziya [24]

Answer:

The books cost $28 dollars each.

Step-by-step explanation:

$266 - $14 = $252

then take $252 divided by 9 = $ 28

7 0
3 years ago
Marlin Davies buys a truck for $28,000. In three years, the truck depreciates 48% in value. How much is the truck worth in three
harkovskaia [24]

In three years the Marlin's truck is worth 13,440$

To find percentage of a number, multiple it with in 0. Of the number.

Example: 28,000 ×. 48

That equals 13,440

So 48% of 28,000 is 13,440

5 0
3 years ago
Read 2 more answers
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