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Veronika [31]
3 years ago
11

Whitch of the following options have the same value of 15 % of 20​

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0

Answer:

15% of 20 is 3

Step-by-step explanation:

because 15/100 can be reduced if you divide by 5 which will be 3/20. After you multiply 3/20 by 20/1. So 20*3 is 60 divided by 20 because 20*1 equals 20 you get 3.

You might be interested in
A tree struck by lightning in a storm breaks and falls over to form a triangle with the ground. The tip of the tree makes a 36°
liraira [26]

Answer: approximately 49 feets

Step-by-step explanation:

The diagram of the tree is shown in the attached photo. The tree fell with its tip forming an angle of 36 degrees with the ground. It forms a right angle triangle,ABC. Angle C is gotten by subtracting the sum of angle A and angle B from 180(sum of angles in a triangle is 180 degrees).

To determine the height of the tree, we will apply trigonometric ratio

Tan # = opposite/ adjacent

Where # = 36 degrees

Opposite = x feets

Adjacent = 25 feets

Tan 36 = x/25

x = 25tan36

x = 25 × 0.7265

x = 18.1625

Height of the tree from the ground to the point where it broke = x = 18.1625 meters.

The entire height of the tree would be the the length of the fallen side of the tree, y + 18.1625m

To get y, we will use Pythagoras theorem

y^2 = 25^2 + 18.1625^2

y^2 = 625 + 329.88

y^2 = 954.88

y = √954.88 = 30.9 meters

Height of the tree before falling was

18.1625+30.9 = 49.0625

The height of the tree was approximately 49 feets

5 0
3 years ago
What is 15% of 135, show your work
SIZIF [17.4K]

Answer:

20.25

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 135.

Step 2: We represent the unknown value with $x$

.

Step 3: From step 1 above,$135=100\%$

.

Step 4: Similarly, $x=15.\%$

.

Step 5: This results in a pair of simple equations:

$135=100\%(1)$.

$x=15.\%(2)$

.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{135}{x}=\frac{100\%}{15.\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{135}=\frac{15.}{100}$

$\Rightarrow x=20.25$Therefore, $15.\%$ of $135$ is

sorry if it took to long have a great day and brainliest is appreciated!!!!!

5 0
3 years ago
Ruth has a beaker containing a solution of 800 mL of acid and 200 mL of water. She thinks the solution is a little strong, so sh
NISA [10]

Answer:

350 mL of water

Step-by-step explanation:

Well she starts with 200mL of water and there is 800 mL of acid of water.

She drains 100 mL of acid and adds 100 mL of water so there is 300 mL of water.

And she stirs meaning the compounds have mixed.

Then she drains 100 mL and she they are mixed she drains half of acid and half of water so she has 250 mL of water.

The she adds 100 mL of water so now there’s 350 mL of water left.

3 0
3 years ago
Newton’s law of universal gravitation, F=Gm1m2/r²,measures the force of gravity between two masses m1 and m2,where r is the dist
Pavel [41]

Answer:

G=\frac{Fr^2}{m_1m_2}

Step-by-step explanation:

Since our equation is F=\frac{Gm_1m_2}{r^2} and we want to solve for G, first we divide both sides by the product m_1m_2, which gives:

\frac{F}{m_1m_2}=\frac{Gm_1m_2}{m_1m_2r^2}=\frac{G}{r^2}

So we are left with:

\frac{F}{m_1m_2}=\frac{G}{r^2}

Now we multiply both sides by r^2, which gives:

\frac{Fr^2}{m_1m_2}=\frac{Gr^2}{r^2}=G

Which gives us our final formula:

G=\frac{Fr^2}{m_1m_2}

6 0
4 years ago
Consider the following polynomial. - 2x * y ^ 5 + 3x ^ 7 - 10x ^ 3 * y ^ 6 + 8x ^ 6 + 4 Which of the following statements are tr
Salsk061 [2.6K]

Option a: polynomial has 5 terms.

Option c: The constant term is 4.

Explanation:

The polynomial is -2xy^{5} +3x^{7} -10x^{3} y^{6} +8x^{6} +4

Option a: Polynomial has 5 terms

From the polynomial, we have,

1st term = -2 x y^{5}

2nd term = 3 x^{7}

3rd term = -10 x^{3} y^{6}

4th term = 8 x^{6}

5th term = 4

Hence, the polynomial has 5 terms.

Thus, Option a is the correct answer.

Option b: The leading coefficient is -2 and the degree of the polynomial is 7.

The leading coefficient is the coefficient of the variable with the largest degree.

The degree of the polynomial can be determine by the adding the powers of the variable.

degree of 1st term = -2 x y^{5} = 1+5=6

degree of 2nd term = 3 x^{7} =7

degree of 3rd term = -10 x^{3} y^{6} =3+6=9

degree of 4th term = 8 x^{6} =6

degree of 5th term = 4 =0

Thus, from these 5 terms the highest value is 9 which is the degree of the polynomial.

The polynomial -2xy^{5} +3x^{7} -10x^{3} y^{6} +8x^{6} +4 has a largest degree of 9 and the leading coefficient is -10.

Hence, Option b is not the correct answer.

Option c: The constant term is 4.

The constant term is a term in which variable will not occur.

From the polynomial -2xy^{5} +3x^{7} -10x^{3} y^{6} +8x^{6} +4, we can see that the constant term is 4.

Hence, Option c is the correct answer.

Option d: Polynomial is in decreasing degree order

The decreasing degree order is the degree in which each term is no larger than the degree of the preceding term.

From the polynomial, we have,

degree of 1st term = -2 x y^{5} = 1+5=6

degree of 2nd term = 3 x^{7} =7

degree of 3rd term = -10 x^{3} y^{6} =3+6=9

degree of 4th term = 8 x^{6} =6

degree of 5th term = 4 =0

where the degree of the 3rd term is not less than the 4th term.

Thus, the polynomial is not in decreasing degree order.

Hence, Option d is not the correct answer.

5 0
3 years ago
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