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3 years ago

100 points + brainiest

Mathematics

1 answer:

Scrat [10]3 years ago

6 0

Answer:

35 grams of 11.43% solution

Step-by-step explanation:

The end solution has same volume as initial volumes of mixture.

10 + 25 = 35 g

The concentration of solution is calculated as below

10*0.15 + 25*0.1 = 4 g
4 / 35*100% = 11.43% (rounded)

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Does anybody know how to do it ?

shutvik [7]

To find the length of the arc given the central angle, multiply (the fraction of the angle of the full circle, 360°, that the central angle, 120°, makes up)*(the total circumference of the circle). You're basically finding the fraction of the circumference that is covered by the central angle, if that makes any sense.

So the central angle makes up $\frac{120\°}{360\°} = \frac{1}{3}$ the entire circle. You are given that the circumference of the circle is 18. Multiply the fraction of the full circle that the central angle makes up ( $\frac{1}{3}$ ) by the circumference of the circle:
$\frac{1}{3} \times 18 = 6$

The length of your arc is 6.

Let me know if you're confused b/c my explanation isn't the greatest :) I'll try to explain it better if you don't understand.

8 0

3 years ago

The length of the hypotenuse of the right triangle is 25 cm, the length of one of the legs is 10 cm. What is the length of the s

Anna007 [38]

Answer:

21 cm

Step-by-step explanation:

Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.

The right triangles formed by the altitude are all similar to the original. That means ...

AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant

Multiplying by AB and substituting the given numbers, we get ...

AD = AB²/AC = 10²/25

AD = 4

Then the segment DC is ...

DC = AC -AD = 25 -4

DC = 21 . . . . . centimeters

6 0

3 years ago

Using suitable identity evaluate the following : 98^3

stiv31 [10]

941,192

Steps:

$(a-b)^3=a^3-b^3-3a^2b+3ab$

$\begin{gathered} (98)^3=(100-2)^3 \\ (100-2)^{3\text{ }}=(100)^3-(2)^3-3\cdot(100)^2\cdot2+3\cdot100\cdot2^2\text{ } \\ (100)^3-(2)^3-3\cdot(100)^2\cdot2+3\cdot100\cdot2^2\text{ = 1,0}00,000\text{ - 3 - 60,000 +1,200} \\ \text{ 1,0}00,000\text{ - 3 - 60,000 +1,200 = 941,192} \end{gathered}$

6 0

1 year ago

Select the correct answer.

vitfil [10]

Is there an image i don’t understand what expressions you’re asking for?

6 0

3 years ago

Determine the mean of the data. Round to the nearest tenth. 6, 9, 15, 22, 30, 36

pshichka [43]

To find the mean you add all the numbers and divide it by the amount of numbers there is so add
6+9+15+22+30+36=118
there is 6 number so divide 118 by 6
118/6=<span>19.6666666667 rounded to the nearest tenth it would be 20
So your mean would be 20
let me know if you have any questions</span>

3 0

3 years ago