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wolverine [178]
3 years ago
15

Tracy bought 2 cans of paint and 7 1/3 pints of special paint additive formulated to reduce mildew. Before painting her house, s

he divided the additive equally between the 2 cans of paint. How much additive did she put in each can?
Mathematics
1 answer:
podryga [215]3 years ago
5 0

Answer:

3 2/3 pint

Step-by-step explanation:

First break down the mixed number to divide (into 7 and 1/3)

7 divided by 2 is 3.5 (Convert 3.5 to sixths)

1/3 divided by two is 1/6

1/6 + 3 3/6= 3 4/6 OR 3 2/3

Hope this helps! :)

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PLS ANSWER ASAP 30 POINTS!!! CHECK PHOTO! WILL MARK BRAINLIEST TO WHO ANSWERS
Sveta_85 [38]

I'll do Problem 8 to get you started

a = 4 and c = 7 are the two given sides

Use these values in the pythagorean theorem to find side b

a^2 + b^2 = c^2\\\\4^2 + b^2 = 7^2\\\\16 + b^2 = 49\\\\b^2 = 49 - 16\\\\b^2 = 33\\\\b = \sqrt{33}\\\\

With respect to reference angle A, we have:

  • opposite side = a = 4
  • adjacent side = b = \sqrt{33}
  • hypotenuse = c = 7

Now let's compute the 6 trig ratios for the angle A.

We'll start with the sine ratio which is opposite over hypotenuse.

\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(A) = \frac{a}{c}\\\\\sin(A) = \frac{4}{7}\\\\

Then cosine which is adjacent over hypotenuse

\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(A) = \frac{b}{c}\\\\\cos(A) = \frac{\sqrt{33}}{7}\\\\

Tangent is the ratio of opposite over adjacent

\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(A) = \frac{a}{b}\\\\\tan(A) = \frac{4}{\sqrt{33}}\\\\\tan(A) = \frac{4\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\tan(A) = \frac{4\sqrt{33}}{(\sqrt{33})^2}\\\\\tan(A) = \frac{4\sqrt{33}}{33}\\\\

Rationalizing the denominator may be optional, so I would ask your teacher for clarification.

So far we've taken care of 3 trig functions. The remaining 3 are reciprocals of the ones mentioned so far.

  • cosecant, abbreviated as csc, is the reciprocal of sine
  • secant, abbreviated as sec, is the reciprocal of cosine
  • cotangent, abbreviated as cot, is the reciprocal of tangent

So we'll flip the fraction of each like so:

\csc(\text{angle}) = \frac{\text{hypotenuse}}{\text{opposite}} \ \text{ ... reciprocal of sine}\\\\\csc(A) = \frac{c}{a}\\\\\csc(A) = \frac{7}{4}\\\\\sec(\text{angle}) = \frac{\text{hypotenuse}}{\text{adjacent}} \ \text{ ... reciprocal of cosine}\\\\\sec(A) = \frac{c}{b}\\\\\sec(A) = \frac{7}{\sqrt{33}} = \frac{7\sqrt{33}}{33}\\\\\cot(\text{angle}) = \frac{\text{adjacent}}{\text{opposite}} \ \text{  ... reciprocal of tangent}\\\\\cot(A) = \frac{b}{a}\\\\\cot(A) = \frac{\sqrt{33}}{4}\\\\

------------------------------------------------------

Summary:

The missing side is b = \sqrt{33}

The 6 trig functions have these results

\sin(A) = \frac{4}{7}\\\\\cos(A) = \frac{\sqrt{33}}{7}\\\\\tan(A) = \frac{4}{\sqrt{33}} = \frac{4\sqrt{33}}{33}\\\\\csc(A) = \frac{7}{4}\\\\\sec(A) = \frac{7}{\sqrt{33}} = \frac{7\sqrt{33}}{33}\\\\\cot(A) = \frac{\sqrt{33}}{4}\\\\

Rationalizing the denominator may be optional, but I would ask your teacher to be sure.

7 0
2 years ago
38+39+40+41+...+130+131
aliya0001 [1]

Answer:

419

Step-by-step explanation:

the answer is 419 because 38+39=77+40=117+41=158+130=288+131=419

hope my math is correct =)

6 0
3 years ago
PLEASE ANSWER:Which of the following are examples of exponential growth? Select all that apply Shasta increases the amount she s
Monica [59]
Answers: Shasta increases the amount she saves each month by 5%. The amount of cell phone subscribers in a small town increases by 75% each year.The price of a stock goes up 12% each year. 
Exponential growth consistently raises the base amount/number to a certain degree. The above answers increase a digit by a number of percentage steadily over a period of time. 
4 0
3 years ago
Read 2 more answers
In rectangle ABCD with side AD = 6 cm, point M is the midpoint of side
SpyIntel [72]
The triangle that is formed by AMB is a 45 45 90 triangle, so meaning the legs are equal. so in can be concluded that AD = MD, since M is the midpoint of CD, then CD = 2AD
CD = 2(6) = 12 cm

so the perimeter is of the rectangle ABCD is
P = 2l + 2w
P = 2(6) + 2(12)
P = 12 + 24
P = 26 cm
7 0
3 years ago
Read 2 more answers
A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.4 in. The slant height of the pyram
Lerok [7]

Answer:

Step-by-step explanation:

By formulating a diagram u will form a triangle and u'll need to form a base from the square by finding it's diagonal then get half the diagonal as the base and the slanting height as the hypotenuse to find the height

23.4²+23.4²=DO

D²=1095.12

D=√1095.12

D=33.09

Base=33.09÷2=16.545

H²=88.6²-16.545²

H²=7576.22

H=√7576.22

H=87.04cm

6 0
3 years ago
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