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3 years ago

Please help with math

Mathematics

1 answer:

klasskru [66]3 years ago

6 0

Answer:

Step-by-step explanation:

The other graphs are functions.

Graph A is a linear function, and C is an Absolute Value Function.

Graph B also seems to be a function.

However- I can only narrow it down to B or C. I apologize if my answer is not correct.

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1. You are standing on top of a ridge using a clinometer trying to figure out how far your dog has wandered off in

olga_2 [115]

Given:

It is given that the ridge is 360 inches tall.

Assumptions:

Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is $360+67 = 427$ inches.

The distance from your eye level to the bottom of the ridge is 427 inches.

Assume the angle A is 60°.

To find the distance from you to your dog.

Solution:

A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.

Assume the hypotenuse of the triangle measures x inches.

To determine the length of the hypotenuse, we determine the cos of the angle.

$cos \theta = \frac{adjacent side}{hypotenuse} .$

$cos A = \frac{427}{x} , x = \frac{427}{cos60} , cos60=0.5.$

$x=\frac{427}{0.5} = 854.$

So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.

3 0

3 years ago

Find the missing value so that the line passing through the 2 points has the given slope.

Alik [6]

Answer:

y = 3

Step-by-step explanation:

Calculate the slope between the 2 points using the slope formula, then equate to - 3

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (12, - 12 ) and (x₂, y₂ ) = (7, y )

m = $\frac{y-(-12)}{7-12}$ = $\frac{y+12}{-5}$ = - 3 ( multiply both sides by - 5 )

y + 12 = 15 ( subtract 12 from both sides )

y = 3

8 0

3 years ago

For which value of x does f(x) = 2

laila [671]

Answer:

Step-by-step explanation:

Look a the picture.

Draw the horizontal line y = 2.

Common point: (-4, 2).

Conclusion: f(x) = 2 → x = -4

8 0

3 years ago

Find n for the sequence for which a1 = 30, d = -4 and sn= -210.

REY [17]

$n\in\mathbb{N^+}$

The formula of the sum of an arithmetic sequence:

$S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n$

We have:

$a_1=30;\ d=-4;\ S_n=-210$

substitute:

$\dfrac{2\cdot30+(n-1)(-4)}{2}\cdot n=-210\ \ \ |\cdot2\\\\(60-4n+4)n=-420\\\\(64-4n)n=-420\\\\64n-4n^2=-420\ \ \ |:(-4)\\\\n^2-16n=105\ \ \ |-105\\\\n^2-16n-105=0\\\\n^2+5n-21n-105=0\\\\n(n+5)-21(n+5)=0\\\\(n+5)(n-21)+0\iff n+5=0\ \vee\ n-21=0\\\\n=-5\notin\mathbb{N^+}\ \vee\ n=21\in\mathbb{N^+}$

Answer: b. 21

3 0

4 years ago

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Mrrafil [7]

What’s the question

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3 years ago