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lord [1]
3 years ago
10

PLEASE HELP, THANK YOU

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

Answer:

Step-by-step explanation:

3rd:9

4th:15

10th:51

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Calculate the volume of water in the cup when it is full
maxonik [38]

To find:

The volume of the water in the cup when it is full.

Solution:

The volume of the water is equal to the difference of the volume of the small cone and the larger cone.

Here, the ratio of the radius of both cones is equal to the ratio of their heights. SO,

\begin{gathered} \frac{r}{2.7}=\frac{20}{20-8} \\ \frac{r}{2.7}=\frac{20}{12} \\ \frac{r}{2.7}=\frac{5}{3} \\ r=4.5 \end{gathered}

The radius of the larger cone is 4.5 cm.

So, the volume of the water is:

\begin{gathered} V=\frac{1}{3}\pi R^2H-\frac{1}{3}\pi r^2h \\ =\frac{1}{3}\pi(R^2H-r^2h) \\ =\frac{1}{3}\pi((4.5)^2(20)-(2.7)^2(12)) \\ =\frac{1}{3}\cdot\frac{22}{7}(405-87.48) \\ =\frac{22}{21}(317.52) \\ =332.64cm^2 \end{gathered}

The volume of water when the cup is full is 332.64 cm^2.

7 0
1 year ago
The length of a rectangle is four more than three times its width. the area of the rectangle is 25. write an algebraic model for
Dafna11 [192]

width (w) = w

Length (L) = 3w + 4

Area (A) = L x w

25 = (3w + 4)w

25 = 3w² + 4w

0 = 3w² + 4w - 25

w = \frac{-2 +/-\sqrt{79} }{3}

w ≈ 2.3, w ≈ -3.6 (width cannot be negative!)

w ≈ 2.3

Length (L) = 3w + 4 = 3(2.3) + 4 = 6.9 + 4 = 10.9

Answer: width=2.3, Length=10.9

4 0
3 years ago
How to find the opposite side of a triangle?
aivan3 [116]

Answer:

Pythagoros Therom

Step-by-step explanation:

The pythagoros therom  will help you find any side of a triangle as long as you already know 2 of the sides the equation is a^2+b^2=c^2 and c is the hypotenuse(the longest leg) and a and b are the other two legs. You might wanna learn this thouroghly but it is very easy to learn trust me.

6 0
3 years ago
Solve -9m-4+2m = -9-7m+5, and interpret the results.
Drupady [299]

Answer:

-9m - 4 + 2m = -9 - 7m + 5

-7m - 4 = -7m - 4

-7m + 7m = -4 + 4

0 = 0

This is an identity solution because the same number equals the same number. That means there's an infinite set of solutions.

5 0
3 years ago
bonjour quelqu'un peut m'aider Svp c'est pour un exercice de mathématiques . merci en avance . exprimez sous forme de pourcentag
lubasha [3.4K]
1sur10=10% 1sur5=20% 1sur2=50% 4sur5=80%
7 0
3 years ago
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