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olganol [36]
2 years ago
7

Tom drinks 4 pints of water a day. How many full tanks of water will he drink in 30 days?

Mathematics
2 answers:
harina [27]2 years ago
8 0
It depends on if tanks means gallons. If so, then the answer is 3 1/5 because there are 8 pints in 1 gallon. Add 4 and 4 together to get 8. That's 1 full tank. Then add 4 and 4 again to get 16. That's 2 full tanks. Now, add 4 and 4 again to get 24. Since you can't add 4 and 4 (8), to 24 without going over 30, then you make a fraction or a remainder. The fraction/remainder is 6 left out of 30, or 6/30. Simplify that and you get 1/5. Your answer is then 3 1/5.
DedPeter [7]2 years ago
3 0
4 pints of water a<span> day
</span>So 4 pints × 30 days  =120 pints
I think it is correct, if wrong please correct me 

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Which complex number has an absolute value of 5?
Bess [88]
For this case we can use the Pythagorean theorem to solve the problem.
 We have then for the following complex number:
 -3 + 4i&#10;
 Using the Pythagorean theorem:
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 Rewriting we have:
 \sqrt{9+16}
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A complex number that has an absolute value of 5 is:
 
A)–3 + 4i
5 0
2 years ago
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A skier moves 100.0 m horizontally, and then travels another 35.0 m uphill at an angle of 35.0º above the horizontal. What is th
vazorg [7]
Because there isnt 90 degrees angle in this triangle (triangle - starting point - point where he starts climbing- ending point) we will use cosine law to find magnitude of displacement. For cosine law we need 2 sides of triangle and angle between them which is exactly what is given.

a^2 = b^2 + c^2 - 2*b*c*cos(alpha)
after expressing values we get:
a^2 = 10000 + 1225 + 5734
a = 130,2 meters

to calculate angle we again use cosine law but now our unknown variable is angle alpha. our sides we will use are 100 meters and 130,2 meters because we need angle between them.

cos(alpha) = (b^2 + c^2 - a^2)/(2*b*c)
cos(alpha) = 0.98
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8 0
2 years ago
Ali took five Math tests during the semester and the mean of his test score was 85. If his mean after the first three was 83, Wh
matrenka [14]

Answer:

88

Step-by-step explanation:

Mean of five test = 85

Sum of five tests = 85*5 = 425

Mean of first three test =83

Sum of first three test = 83 * 3 = 249

Sum of 4th and 5th test scores = 425 - 249

                                                   = 176

Mean of his 4th and 5th test = 176/2 = 88

7 0
2 years ago
A line passes through the points (p, a) and (p, –a) where p and a are real numbers and p ≠ 0. Describe each of the following. Ex
MissTica

Answer:

Part A) The slope is undefined

Part B) The equation of the line is x=p

Part C) None y-intercept

Part D) The slope of a line perpendicular to the given line is equal to zero

Step-by-step explanation:

we have that

Describe

A) slope of the line

B) equation of the line

C) y-intercept

D) slope of a line perpendicular to the given line

Part A) slope of the line

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(p,a)\ (p,-a)

Substitute the values

m=\frac{-a-a}{p-p}

m=\frac{-2a}{0}  -----> the slope is undefined

Its a vertical line (parallel to the y-axis)

Part B) Equation of the line

we know that

The equation of a vertical line is equal to the x-coordinate of the points through which the line passes.

so

x=p

Part C) The y-intercept

The y-intercept is the value of y when the value of x is equal to zero

The vertical line not intercept the y-axis

so

None y-intercept

Part D) slope of a line perpendicular to the given line

A line perpendicular to the given line is a horizontal line (parallel to the x-axis)

therefore

The slope is equal to zero

6 0
2 years ago
Triangle ABC is a right triangle and cos(22.6o)=StartFraction b Over 13 EndFraction. Solve for b and round to the nearest whole
Art [367]

Answer:

a = 5 and b = 12

Step-by-step explanation:

<u>Step 1: Find angle B</u>

<em>Angle C = 90°</em>

<em>Angle A = 22.6°</em>

<em>Angle B = B</em>

<em>All angles in a triangle are equal to 180°.</em>

Angle A + Angle B + Angle C = 180°

22.6 + 90 + B = 180°

B = 180 - 112.6

B = 67.4°

<u>Step 2: Find the value of side AC 'b'</u>

<em>Hypotenuse = 13</em>

<em>Adjacent = b</em>

<em>Angle A = 22.6°</em>

Cos (Angle) = Adjacent/Hypotenuse

Cos (22.6) = b/13

b = 12

<u>Step 3: Find the value of side CB 'a'</u>

<em>Hypotenuse = 13</em>

<em>Opposite = a</em>

<em>Angle A = 22.6°</em>

Sin (angle) = Opposite/Hypotenuse

Sin (22.6°) = a/13

a = 4.99 rounded off to 5

Therefore, the value of a=5 and b=12.

!!

8 0
2 years ago
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