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2 years ago

Use graph to answer questions

Mathematics

1 answer:

shutvik [7]2 years ago

3 0

Answer:

$\sin( \alpha ) = \frac{4}{5}$

Step-by-step explanation:

as if we form an imaginary triangle with this line as hypotenuse

we get

base = 3 units
perpendicular = 4 units

using Pythagoras theorem:-

hyponteuse ² = perpendicular ² + base²

hyp² = 4² + 3²

hyp² = 16 + 9

$hyp = \sqrt{25}$

hyp = 5 units

$\sin( \theta ) = \frac{perpendicular}{hypotenuse} \\ \sin( \theta) = \frac{4}{5}$

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a car rent is $220 per week plus $0.25 per mile. Find the rental cost for a two week trip of 500 miles for a group of three peop

JulsSmile [24]

Here, Equation is: C = 220x + 0.25y
Where x = number of weeks
y = Distance in miles,

Now, C = 220(2) + 0.25(500)
C = 440 + 125
C = 565

In short, Your Answer would be $565

Hope this helps!

8 0

3 years ago

Find the sum of 2√5 and 3√16 in simplest form. Also, determine whether the result is rational or irrational and explain your ans

castortr0y [4]

Answer:

2√5 +12 or 16.47213595....

Step-by-step explanation:

4 0

3 years ago

on the last 5 quizzes, marco has earned a total of 21 out of 25 possible points. if he has a perfect score on the next several q

nevsk [136]

Using the mean concept, it is found that we will need 15 more points to bring up his average up to 90%.

The mean of a data-set is the sum of all observations divided by the number of observations.

In this problem:

In the first 5 observations, total of 21 out of 25 points, hence the mean for these observations is $\frac{21}{25} = 0.84$ .
In the next n observations, mean of 1.

Hence, the mean is:

$M = \frac{0.84(5) + n}{5 + n} = \frac{4.2 + n}{5 + n}$

We want the mean to be of 0.9, thus:

$M = 0.9$

$\frac{4.2 + n}{5 + n} = 0.9$

$4.2 + n = 0.9n + 4.5$

$0.1n = 0.3$

$n = \frac{0.3}{0.1}$

$n = 3$

3 more testes are need, each worth 5 points, hence, 15 more points are needed to bring up his average up to 90%.

A similar problem is given at brainly.com/question/25323941

6 0

3 years ago

A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 stud

mafiozo [28]

1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

f(t) = 85 + 18t ⇒ y = 85 + 18x
g(t) = 95 + 15t ⇒ y = 95 + 15x

y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3

y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145

x = 10/3 or 3 1/3
y = 145

4 0

3 years ago

Solve the simultaneous equation x+y/4=1/2 and x-3y/3=2

Feliz [49]

Answer:

x+y/4 = 1/2

x-3y/3 = 2

move variables to one side:

multiply the first equation by 4 to get: x+y =2

and the second equation by 3 to get: x-3y =6

then subtract the equations to cancel out x:

x+y = 2

- x-3y = 6

then u get

y--3y = 2-6

4y = -4

y=-1

substitute to solve for x:

x-1 / 4 =1/2

x-1 = 2

x=3

check:

3+-1

2/4= 1/2

correct!!!

3 0

3 years ago

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