Given sec A = - squareroot 85/6 and that angle A is in Quadrant II, find the exact value of
cot A in simplest radical form using a rational denominator.

Answer:

the area A of a triangle is given by the formula A=1\2 bh where b is the base and h is the height : solve the formula for the height.

1 answer

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Top answer:

A=1/2 bh multipy 2 at both side of the equation 2A = bh divide b at both side , then we will get h h = 2A/b

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 49 ← is in this form with

r² = 49 ( take square root of both sides )

r = [tex]\sqrt{49}[/tex] = 7

Thus A = (7, 0 ) and B = (0, 7 )

To find M use the midpoint formula

M = ( [tex]\frac{7+0}{2}[/tex], [tex]\frac{0+7}{2}[/tex] ) = (3.5, 3.5 )

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{x_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (3.5, 3.5 )

m = [tex]\frac{3.5-0}{3.5-0}[/tex] = [tex]\frac{3.5}{3.5}[/tex] = 1

y = x ← equation of line passing through O and M

Answer:

Below in bold.

Step-by-step explanation:

(a)

At point A,  y = 0 so the coordinates of A are found as follows:

x^2+ 0^2 = 49

x^2 = 49

x = 7   so A is (7, 0).

In a similar way,  by putting x = 0 in the equation, we can show that

B = (0, 7).

(b)

M is the midpoint of the line AB so its coordinates are:

(7+ 0)/2, (0 + 7) /2 = (3.5, 3.5).

So the slope of OM  which also passes through the origin (0,0) is:

(3.5 - 0) /(3.5 - 0) = 1.

y - y1 = m (x - x1)

y - 3.5 = 1(x - 3.5)

y = x - 3.5 + 3.5

y = x is the required equation.

Answer:

  e.  is below the graph of y=f(x)

Step-by-step explanation:

The graph of y = √2 is below the graph of y = 2.

__

Both graphs are horizontal lines. √2 is about 1.414, so is less than 2. On a coordinate plane with values of y increasing in the "up" direction, y=1.414 will be graphed below y=2.

Answer:

C

Step-by-step explanation:

A²+ B²= C²

(3√2)² + (3√2)² = h

18 + 18 = 36

√36 = 6

the hypotenuse is 6

Answer:

Step-by-step explanation:

find hypotenuse h from a given right triangle.

use the Pythagorean theorem

a² + b² = h²

where a = 3√2 = b

plugin values into the formula:

(3√2 )² + (3√2 )² = h²

18 + 18 = h²

h = √36

h = 6

Answer:

2 wholes and 1 27th

Step-by-step explanation:

so you have to times the bottom numbers so there the same 9x3=27 then times the top by three so its 21 on the top the you plus 1 whole so then you add it all together you should get 2 wholes and 1 27th

Step-by-step explanation:

First add the LHS side,

[tex] \hookrightarrow\frac{7}{27} + 1 \frac{7}{9} \\ \hookrightarrow\frac{7}{27} + \frac{16}{9} \\ \hookrightarrow \frac{7 \times 1+ 16 \times 3}{27} \\ \hookrightarrow \: \frac{55}{27} \\ \hookrightarrow \: 2 \frac{1}{27} [/tex]

Hence LHS= RHS Proved!

Answer:

sorry for the late answer but yes, it is the same. Because 6 divided by -3 is equal to -2. And if we do -6 divided by 3, we get -2 as well.

Step-by-step explanation:

(-3,4); (5,4)

In image

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Answer:

C

Step-by-step explanation:

The guy who has 7.5k answers said so. Plus I need the 50 B Points

The equation that best models the relationship between the amount of compost used and the harvest yield is y = x+200

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

Given that, a graph that shows the harvest results of a farm, we need to construct an equation that will give a relation between the compost used and the yield,

So the coordinates are

(0,200)

(200,400)

(400,600)

(600,800)

Finding the slope,

600-400 / 400-200 = 200/200 = 1

The y-intercept is 200, so, the relationship is

y=200+x

Hence, the equation that best models the relationship between the amount of compost used and the harvest yield is y = x+200

Learn more about equations, click;

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Answer:

y= 49.99x+.99

Step-by-step explanation:

f(2)= -2, f(-2)= 2, odd

Step-by-step explanation:

1. f(2)=x^3-5x

2. f(2)= 2^3-5(2)

3. f(2)=8-10

4. f(2)= -2

5. f(-2)= x^3-5x

6. f(-2)= -2^3-5(-2)

7. f(-2)= -8+10

8. f(-2)= 2

Answer:

i think its C) 3x^2 + 5

Step-by-step explanation:

because it matches it matched the rectangle, I'm so sorry if this is wrong I tried my best good luck!!

Answer:

3x^2 + 15x

Step-by-step explanation:

area = length x width

a = 3x(x + 5)

a = 3x^2 + 15x

Answer:

x=5/2

Step-by-step explanation:

4x-1/2=x+7

4x-x=7+1/2

3x=14/2+1/2

3x=15/2

x=15/2×1/3

so

x=5/2

Answer:

Total deductions = $105.317

Step-by-step explanation:

Gross earning = $378

Deductions:

Federal withholding tax = $28

Social security tax = 6.2% of $378 = $23.436

Medicare tax = 1.45% of $378 = $5.481

Health insurance = $28

Total deductions is gotten by summing up all values above

28+23.436+5.481+20.4+28

= $105.317

The difference between gross earning and deductions

= 378-105.317

= $272.683

Answer:

29/200=0.14500

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "14.5" was replaced by "(145/10)".

Step 1:

simplify 29/2

Equation at the end of step:

29/2  ÷  100

Step 2:

Divide 29/2 by 100

Final result :

29/200=0.14500

Answer:

It is d. 3/2

Step-by-step explanation:

slope formula is rise over run or x2-x1/y2-y1. So it would be 6-0/4-0. That equals 6/4. You just need to simplify that by dividing both 6 and 4 by 2 and you get 3/2.

We have x = 81 repeat itself. Any time x repeats, it means we don't have a function.

Put another way, the input x = 81 leads to more than one y output. A function is only possible if any given input leads to exactly one output. The input must be in the domain.

Answer:

FE

Step-by-step explanation:

FE- radius

AC- diameter

ED- arc

DC- arc

» Which line segment is a radius of circle F?

_______________∞_______________

Answer:

y=2

Step-by-step explanation:

You would look on your x-axis and find the point two, the number on the y-axis that corrisponds with that is 2 so therefore your answer is two. Hope this helps!

Answer:

It's easy: if y = 2, what is x on the graph?: 2, because f(x) is the same as y.

Step-by-step explanation:

Answer:

28x+8y-8

Step-by-step explanation:

Follow the orders of PEMDAS:  (parenthesis, exponents, multiplication, division, addition, subtraction)

If an equation you need to solve has parentheses, simplify the parentheses (most often using distribution) and then solve as you normally would. Simplify both sides of the equation as much as possible using the order of operations (distribute, combine like terms, etc.).

answer

28x+8y-8

Step-by-step explanation:

-6x -24y +34x +32y -8

her purchases

4 x 6.58 + 6.68 + 15.80 + 3 x 11.19 + 12.50

= 26.32 + 22.48 + 33.57 + 12.50

= 94.87

she gave 100

she got back : 100 - 94.87 = $5.13

Answer:

I don't know the answer but have a amazing day!<3

Step-by-step explanation:

Be happy.

The line plot is used to show the average time spent using check marks above the line

From the dataset of the average number of hours, we have the following frequency table

Average time         Frequency

1.5                                2

1.6                                4

1.7                                1

1.8                                3

1.9                                 2

2.0                                6

Next, we plot the number line.

Such that the average time spent are on the x-axis while their frequencies are on the y-axis

See attachment for the line plot

Read more about line plots at:

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Answer:

A=1, B=3, C=15

Step-by-step explanation:

I think that

1(3x+3)=15

3x+3=15

3x=12

x=4

Answer:

D I looked it up and it said D hope it's right

Answer:

you leave the decimal point In the answer.

Answer:

A.) Her proportion does not have corresponding parts in the same position.

Step-by-step explanation:

Sharon got the wrong answer which was supposed to be 1.6 feet

The number of chickens and goats will be 7 and 4, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

On farmer Palmer’s farm, the cats have got into the chicken coop and are causing chaos. Farmer Palmer counts in total, 11 heads and 30 legs.

We know that a goat has four legs and a chicken has 2 legs.

Let 'x' be the number of chickens and 'y' be the number of goats. Then the equations are given as,

x + y = 11                  ...1

2x + 4y = 30           ...2

From equations 1 and 2, then we have

2(11 - y) + 4y = 30

22 - 2y + 4y = 30

2y = 8

y = 4

Then the value of 'x' is given as,

x = 11 - 4

x = 7

The number of chickens and goats will be 7 and 4, respectively.

More about the solution of the equation link is given below.

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Answer:

72%

Step-by-step explanation:

you can divide part of a whole by the whole to get a decimal

this decimal is the percentage when you move the decimal 2 places to the right

32 - 9 = 23 men

23/32 = .72 (rounded)

.72 = 72%

Answer:

1. true 2. true 3. false 4. true 5. false 6. false 7. false

Step-by-step explanation:

im not a 100% sure this is right but ik some that are right im just not sure about 3. and 5. so ye UWU

Answer:

T

F

T

T

F

F

T

Step-by-step explanation:

Answer:

○ [tex]\displaystyle -4[/tex]

Step-by-step explanation:

When [tex]\displaystyle f(x)[/tex]is [tex]\displaystyle 0,[/tex]you relocate to the x-axis to find the x-coordinate, and happens to be [tex]\displaystyle -4.[/tex]

I am joyous to assist you at any time.