What is 3/7 - 1/4? .....

Jake paid $13.50 for admission to the country fair and bought 9 tickets to play games. If he spent a total of $36, what is the c

Sunny_sXe [5.5K]

Answer:

$2.50

Step-by-step explanation:

Jake's total expenditure is ...

total = admission + c × (number of tickets)

36 = 13.50 + 9c . . . an equation to solve

4 = 1.50 +c . . . . . . . divide by 9

2.50 = c . . . . the cost of one ticket

Each ticket cost Jake $2.50.

5 0

3 years ago

The angle θ lies in Quadrant II. sinθ=3/4 What is cosθ ?

Elden [556K]

Hello from MrBillDoesMath

Answer:

[email protected] = - sqrt(7)/ 4

which is choice B

Discussion:

This problem can be solved by drawing triangles and looking at ratios of sides or by using the trig identity:

([email protected])^2 + (sin2)^2 = 1

If [email protected] = 3/4 , the

([email protected])^2 + (3/4)^2 = 1 => (subtract (3/4)^2 from both sides)

([email protected])^2 = 1 - (3/4)^2 = 1 - 9/16 = 7/16

So...... taking the square root of both sides gives

[email protected] = +\- sqrt(7)/ sqrt(16) = +\- sqrt(7)/4

But is [email protected] positive or negative? We are told that @ is in the second quadrant and cos(@) is negative in this quadrant, so our answer must be negative

[email protected] = - sqrt(7)/ 4

which is choice B

Thank you,

Mr. B

4 0

3 years ago

Michael writes down 4 different factors of 60

Marizza181 [45]

Answer:

34+(-12) =22

Step-by-step explanation:

because they said that adding numbers but they didn't said that negative Or positive. so i took those numbers

3 0

3 years ago

In a pair of complementary angles, the measure of the larger angle is twice that of the smaller

EleoNora [17]

Answer: 60 degrees

Step-by-step explanation:

6 0

2 years ago

If a scale distance of 3.5 inches on a map represent an actual distance of 175 km what actual distance does a scale distance of

gavmur [86]

Considering the definition of map and scale, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

<h3>Definition of map and scale</h3>

A map is a representation of a place, at a size smaller than the real size.

The scale of a cartographic representation is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. That is, the scale is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

One way to represent the scale is by a fraction, which indicates the proportion between the distance on a map and its corresponding distance in reality:

$Scale=\frac{distance on the map}{distance in reality}$

<h3>Actual distance in this case</h3>

In this case, you know that a scale distance of 3.5 inches on a map represent an actual distance of 175 km.

To know the real distance that represents a scale distance of 5.7 inches, as the scale ratio is the same as in the previous case, it is expressed:

$\frac{3.7 inches}{175 km}=\frac{5.7 inches}{distance in reality}$