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3 years ago

89.10-[(1.20x31)+(4.90+7)]

Mathematics

2 answers:

Tamiku [17]3 years ago

7 0

40 because 1.2 x 31 = 37.20 and 4.9 + 7 = 11.90 so 89.10 - 49.10 = 40

lakkis [162]3 years ago

6 0

Answer:

65.3

Step-by-step explanation:

89.10 - [(1.20 × 31)+ (4.90 + 7)]

89.10 - [37.2 + 11.9]

89.10 - 23.8

= 65.3

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Monica sells lemonade over the summer and uses conical paper cups to serve

Alina [70]

Answer: She would need 206 paper cups.

Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.

Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;

Volume of a cone = (πr²h)/3

Volume of a cone = (3.14 * 4² * 11)/3

Volume of a cone = 552.64/3

Volume of a cone = 184.2

If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;

Number of cups = Total volume/Volume of a cup

Number of cups = 37850/184.2

Number of cups = 205.48

Rounded to the nearest whole number, this becomes

Number of cups ≈ 206

Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.

4 0

3 years ago

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

3 years ago

What is 7/8 x 1/3 x 2/3? Pls help me.

Step2247 [10]

7/36
Multiply the top together and then the bottom together and the final numbers on top and bottom is your answer.

8 0

3 years ago

Read 2 more answers

Adam takes a loan of $8,250 at a 7% simple rate for 5 years. How much will be paid after 3 years? how much interest will be paid

Diano4ka-milaya [45]

$4,950 will be paid after 3 years.
$577.50 will be paid as interest for the total loan.

6 0