All categories

3 years ago

Ben is standing 8 feet from

Mathematics

1 answer:

never [62]3 years ago

5 0

Answer:

Approximately 15.05 ft

Step-by-step explanation:

You need to use tangent for this question.

Since tan θ = $\frac{Opposite}{Adjacent}$

to find the Opposite, we need to rearrange the equation to:

Adjacent × tan θ = Opposite.

So if you insert 62 for θ and 8 feet for Adjacent, you will get:

8 × tan(62) = Opposite.

and you will get approximately 15.05 feet for your Opposite side

You might be interested in

Look at the coordinate plane.

Taya2010 [7]

Answer:

y = -3

Step-by-step explanation:

Desmos

7 0

2 years ago

the number of students in a chess club decreased from 37 to 19. What is the percent decrease? Round your answer to the nearest p

Tema [17]

Answer:

You should be able to get your answer by

Step-by-step explanation:

For example let's sayAbout 33%. You divide 12 by 18 and get 0.6666666 and it goes on. So, rounded to the nearest percent, it is 67%. Then, you subtract it from 100 and get 33%. So the percent decrease is 33%.

Hope this helps

7 0

2 years ago

Solve the simultaneous equations 4x+3y=1 4x^2+3xy+y^2=2

Fantom [35]

Notice that the second equation,

4x ² + 3xy + y ² = 2

can be written as

x (4x + 3y) + y ² = 2

and the first equation says 4x + 3y = 1, so this reduces to

x + y ² = 2

Solve the first equation for x :

4x + 3y = 1

4x = 1 - 3y

x = (1 - 3y)/4

Substitute this into the reduced second equation to get a quadratic equation in y, which happens to be easily factorized and solved:

(1 - 3y)/4 + y ² = 2

1 - 3y + 4y ² = 8

4y ² - 3y - 7 = 0

(4y - 7) (y + 1) = 0

4y - 7 = 0 or y + 1 = 0

y = 7/4 or y = -1

Solve for x :

x = (1 - 3 (7/4))/4 or x = (1 - 3 (-1))/4

x = -17/16 or x = 1

So the two solutions are (x, y) = (-17/16, 7/4) and (x, y) = (1, -1).

8 0

2 years ago

The frequency distribution is incorrectly constructed state the reason why

Vikki [24]

Answer:

A class has been omitted.

Explanation:

Given the frequency distribution shown in the attached table.

the frequency distribution is incorrectly constructed because a class has been omitted.

On the given table the class 133-137 is missing on the frequency distribution table.

8 0

1 year ago

Loni’s credit card statement for April showed a membership fee of $85, a late fee of $45, a finance charge of $7.45, and an over

Jlenok [28]

Answer:

$157.45

Step-by-step explanation:

All the amounts provided in the question are supposed to be added as a fee, so if you add all the numbers you would get $157.45.

4 0

3 years ago