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3 years ago

12. A road race is 15 kilometers long. After the starting line, there are water stations every

Mathematics

1 answer:

zlopas [31]3 years ago

7 0

Answer:

Step-by-step explanation:

Given

there is 1 water station at every 0.3 KM

If there are n water stations at every 0.3 KM

then KM covered by them = n*0.3 = 0.3n

given that total KM covered is 15 km

Thus,

0.3n = 15

=> n = 15/0.3 = 50

Thus, there are 50 water stations.

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Solve Quadratic Equations by Factoring:

mr_godi [17]

Answer:

x = 0 or 1
x = ±i/4
x = -5 (twice)

Step-by-step explanation:

Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.

1. x^2 -x = 0

x(x -1) = 0 . . . . . x = 0 or 1

2. 16x^2 +1 = 0

This is the "difference of squares" ...

(4x)^2 - (i)^2 = 0

(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)

3. x^2 +10x +25 = 0

(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2

5 0

3 years ago

In a school of 330 students, 85 of them are in the drama club, 200 of them are in a sports team and 60 students do drama and spo

liq [111]

Let's denote students in D = in the drama club , S = in a sports team 
P(D) = 85/330 
P(S) = 200/330 

P(D and S) = 60/300 

P(D or S) = P(D) + P(S) - P(D and S) = 85/330 + 200/330 - 60/330 = 15/22 

P(neither D nor S) = 1- 15/22 = 7/22

7 0

3 years ago

Definition and example of variable

Studentka2010 [4]

Answer:

Step-by-step explanation:

Definition: A letter that is placed in an unknown number place.

Example: 8+B+9

The variable would be B.

6 0

3 years ago

Read 2 more answers

Consider that the length of rectangle A is 21 cm and its width is 7 cm. Which rectangle is similar to rectangle A?

Greeley [361]

Question is incomplete, complete question is given below.

Consider that the length of rectangle A is 21 cm and its width is 7 cm. Which rectangle is similar to rectangle A? A) A rectangle with a length of 9 cm and a width of 3 cm. B) A rectangle with a length of 20 cm and a width of 10 cm. C) A rectangle with a length of 18 cm and a width of 9 cm. D) A rectangle with a length of 27 cm and a width of 3 cm.

Answer:

A) A rectangle with a length of 9 cm and a width of 3 cm.

Step-by-step explanation:

Given,

Length = 21 cm Width = 7 cm

$Ratio = \frac{Length}{Width}\\\\Ratio = \frac{21}{7}=3:1$

For the similarity of rectangle the ratio of length to width of any two rectangles should be equal.

So we have four options given;

A) A rectangle with a length of 9 cm and a width of 3 cm.

$Ratio =\frac{9}{3}=3:1$

Here the ratio is equal as of rectangle A. So this rectangle is similar to rectangle A.

B) A rectangle with a length of 20 cm and a width of 10 cm.

$Ratio =\frac{20}{10}=2:1$

Here the ratio is not equal as of rectangle A. So this rectangle is not similar to rectangle A.

C) A rectangle with a length of 18 cm and a width of 9 cm.

$Ratio =\frac{18}{9}=2:1$

Here the ratio is not equal as of rectangle A. So this rectangle is not similar to rectangle A.

D) A rectangle with a length of 27 cm and a width of 3 cm.

$Ratio =\frac{27}{3}=9:1$

Here the ratio is not equal as of rectangle A. So this rectangle is not similar to rectangle A.

Thus the correct option is A) A rectangle with a length of 9 cm and a width of 3 cm.

4 0

4 years ago

Please help! what is it

Dmitrij [34]

Answer:

105

Step-by-step explanation:

The interior angle for R is supplementary to the 155 degree angle

(they add to 180)

180-155=25

The sum of the interior angles of a triangle is always 180

180-50-25= 105

3 0

3 years ago