All categories

3 years ago

I need help with this. Thanks I need to find the degree

Mathematics

1 answer:

scoundrel [369]3 years ago

3 0

Answer:

119.05°

Step-by-step explanation:

In general, the angle is given by ...

θ = arctan(y/x)

Here, that becomes ...

θ = arctan(9/-5) ≈ 119.05°

_____

<em>Comment on using a calculator</em>

If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.

It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...

Tan = Opposite/Adjacent = |y|/|x|

This is the tangent of the reference angle, which will be ...

θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°

You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.

You might be interested in

The science class is taking a trip to the science center. there are 20 students and an unknown number of adult chaperones going.

Alekssandra [29.7K]

The greatest number of adults who can chaperone
35-20 = 15

4 0

3 years ago

Read 2 more answers

Pls helppppp brooooooooooooooooooooooooo

Shalnov [3]

Answer:

Read the sentence below, which appears in the brochure “Nanotechnology: Big Things from a Tiny World.” As you read, look for context clues that could help you define any scientific terms.

Scientists have also developed sensors to measure pesticide levels in the field, allowing farmers to use less while still protecting their plants.

According to the context clues provided by the author, what is a pesticide?

Group of answer choices

Step-by-step explanation:

Read the sentence below, which appears in the brochure “Nanotechnology: Big Things from a Tiny World.” As you read, look for context clues that could help you define any scientific terms.

Scientists have also developed sensors to measure pesticide levels in the field, allowing farmers to use less while still protecting their plants.

According to the context clues provided by the author, what is a pesticide?

Group of answer choices

3 0

3 years ago

A culture started with 5,000 bacteria. After 2 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after

lesya [120]

This can be expressed as exponential growth of the form:

f=ir^t, f=final amount, i=initial amount, r=common ratio (rate), t=time

In this case we are given the point (2, 6500) and i=5000 so we can solve for the rate...

6500=5000r^2 divide both sides by 5000

1.3=r^2 take the square root of both sides and note that we know r>0

r=1.3^(1/2) so our equation becomes:

f=5000(1.3)^(1/2)^t and knowing that (a^b)^c=a^(b*c) we can say:

f=5000(1.3)^(t/2) so for t=18

f=5000(1.3)^9

f≈53022 (to nearest whole bacteria)

7 0

3 years ago

State whether the lines are parallel, perpendicular,or neither.

cluponka [151]

Answer:

Please check the explanation.

Step-by-step explanation:

Two lines are parallel if their slopes are equal.

Two lines are perpendicular if the product of their slope is -1

We also know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept

Given the lines

y = 6х - 3

Comparing with y=mx+b, the slope of y = 6х - 3:

m₁=6

y = - 1/6x + 7

Comparing with y=mx+b, the slope of y = - 1/6x + 7:

m₂=-1/6

m₁ × m₂ = -1

6 × - 1/6 = -1

-1 = -1

Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.

y = 3x + 2

Comparing with y=mx+b, the slope of y = 3x + 2:

m₁=3

2y = 6x - 6

simplifying to write in slope-intercept form

y=3x-3

Comparing with y=mx+b, the slope of y=3x-3:

m₂=3

As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.

i.e. m₁ = m₂ → 3 = 3

Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.

8x - 2y = 3

simplifying to write in slope-intercept form

y = 4x - 3/2

Comparing with y=mx+b, the slope of y = 4x - 3/2:

m₁=4

x + 4y = - 1

simplifying to write in slope-intercept form

y=-1/4x-1/4

Comparing with y=mx+b, the slope of y=-1/4x-1/4:

m₂=-1/4

m₁ × m₂ = -1

4 × - 1/4 = -1

-1 = -1

Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.

3x+2y = 5

simplifying to write in slope-intercept form

y = -3/2x + 5/2

Comparing with y=mx+b, the slope of y = -3/2x + 5/2:

m₁=-3/2

3y + 2x = - 3

simplifying to write in slope-intercept form

y = -2/3x - 1

Comparing with y=mx+b, the slope of y = -2/3x - 1:

m₂=-2/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

y - 5 = 6x

simplifying to write in slope-intercept form

y=6x+5

Comparing with y=mx+b, the slope of y=6x+5:

m₁=6

y - 6x = - 1

simplifying to write in slope-intercept form

y=6x-1

Comparing with y=mx+b, the slope of y=6x-1:

m₂=6

As the slopes of y - 5 = 6x and y - 6x = -1 are equal.

i.e. m₁ = m₂ → 6 = 6

Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.

y = 3х + 9

Comparing with y=mx+b, the slope of y = 3х + 9:

m₁=3

y = -1/3x - 4

Comparing with y=mx+b, the slope of y = 1/3x - 4:

m₂=1/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

8 0

2 years ago

Which are are the roots of the quadratic function F(q)=q^2-125?

nadezda [96]

Q^2 - 125 = 0
q^2 = 125

q = +/- sqrt 125 = 11.18, -11.18

5 0

3 years ago