Given sec A = √85/6 write the value of cot a in the simplest fraction form
A.6/7
B.7/6
C.√85/7
D.7/√85

Answers

Answer 1

[tex]\\ \sf\longmapsto sec^2A-1=tan^2A[/tex]

[tex]\\ \sf\longmapsto tan^2A=\dfrac{(√85)^2}{6^2}-1[/tex]

[tex]\\ \sf\longmapsto tan^2A=\dfrac{85}{36}-1[/tex]

[tex]\\ \sf\longmapsto tan^2A=\dfrac{85-36}{36}[/tex]

[tex]\\ \sf\longmapsto tan^2A=\dfrac{49}{36}[/tex]

[tex]\\ \sf\longmapsto tanA=\dfrac{7}{6}[/tex]

Now

[tex]\\ \sf\longmapsto cotA=\dfrac{1}{tanA}=\dfrac{6}{7}[/tex]


Related Questions

what is this answer
6²+-14÷2-(-8)

Answers

I got 37, hope that helped:)

a) −
1
2 ∈ Z b) 5 ∈ N c) 3,1(4) ∈ (R − Q) d) √17 ∈ R

e) −
√64
4 ∈ Z f)ඥ0,36 ∈ Q

Answers

Answer:

what sorry

Step-by-step explanation:

can you please mark me as brainlist please

Divide, explain.

1. 36.45 divided by 0.09
2. 90 divided by 0.36
3. 18.88 divided by 1.6
4. 5.6372 divided by 0.17

I will give the brainliest.

Answers

Answer:

1.36.45÷0.09=N

=45

2.90÷0.36=N

=250

3.18.88÷1.6=N

=11.8

4.5.6372÷0.17=N

=33.16

the answer in #1 is 45

#2 is 250 #3 is 11.8 #4 is 33.16

Mario zombie walks at a rate of 2 miles per hour looking for a brainy snack. If it looks 514 hours, how many miles will it walk?

Answers

Answer:

1,028 miles

Step-by-step explanation:

multiply 514 by 2

Answer:

1028

Step-by-step explanation:

You just times 514 by two, because if it took 514 hours and every hour he goes 2 miles he would have went 1028 miles.  :)

Please help me with this!

Answers

Step-by-step explanation:

step by step explaination is in the photo and the final answer is =

how do I put -1.2 on a number line?how do I put -3.25 on a number line?how do I put 0.5 on a number line?

Answers

Answer:

-3.25,-1.2 then after 0 you put 0.5

Step-by-step explanation:

   -3  -2.5  -1 -0.5 0 0.5 1  1.5 2  2.5      

___l__l__l__l__l__l__l__l__l__l_____________

  -3.25      -1.2          0.5

if a rectangle is 8 in long and 6 in wide how many one square inch tikes are needed to cover its area

Answers

Answer:48 one square inch tiles

Step-by-step explanation:

The square has an area of (8x6)=48in^2.  If we place 1 in^2 square tiles in a line 8 across (8 inches) and 6 down (6 inches), there will be 8x6 = 48 one square inch tiles.

The sales tax rate in a certain city is 8%. Find the tax charged on a purchase of $600, and the total cost.

Answers

Answer:

480

Step-by-step explanation:

Do

600 multiplied by .8

6х +3 = 4x+9
What’s x = ?

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

here you are

how to find domain and range of a function

Answers

Answer:

The domain is found depending on the information you're given. In a table, the domain is found by taking all the x values given and listing them least to greatest. Same with ordered pairs. In a graph, the domain is found by first seeing if there are any restrictions and then find the x values that work and have one output.

The range is found the same way, but with the y values.

Hope this helps!!

Identify the equation that describes the line in slope-intercept form. slope =3, point (2,−4) is on the line

Answers

Answer:

[tex]y=3x-10[/tex]

Step-by-step explanation:

We identify the equation by using the slope-intercept form

[tex]y=mx+b[/tex]

[tex]m=3[/tex]

[tex](2,-4)\\(x, y)[/tex]

evaluate the expression if x=9 and y=2
5x+y
please hurry multiple choice question
Options: 19, 45, 47, and 61
WILL MARK BRAINLIEST

Answers

Answer:

47

Step-by-step explanation:

x=9 y=2 5x+y= so you need to multiply x (9) by 5 9x5= 45 45+2=47

47 is the answer cause it’s the closest 5x+y (x=9)(y=2.5)
5(9)+2.5
45+2.5
= 47.5
Pls mark brainlest!

NO LINKS PLZ AND THANK U
PLZ HELP ME ASAP WITH THIS ONE Question 6 (2.5 points)
Retake question
Bonus Question:

What is the equation in slope-intercept form of a line parallel to y=−2x+5 and passes through the point (4, 0)?

Question 6 options:

y=−2x+8

y=−2x+4

y=12x+4

y=12x+8

Answers

Answer:

Answer: y = -2x+8

Point slope formula y - y1 = m(x - x1).

ILL GIVE BRAINLIST!! pls help also dont mind my answer, its random.​

Answers

B is the correct answer

Question 7 Evaluate 2y + 3(y - 5) when y = 10 57 35

Answers

Answer:

Sustitute the y-values into the equation.

For y=10,

2(10) + 3 (10 - 5)

20 + 3(5)

20+15

35

For y=57,

2(57) + 3 (57 - 5)

114 + 156

270

For y=35

2(35) + 3 (35 - 5)

70 + 3(30)

70 + 90

160

:)

Answer:

Step-by-step explanation:

monert

Suppose that a loan of $4500 is given at an interest rate of 12% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.
(a) Find the amount owed at the end of 1 year.
(b) Find the amount owed at the end of 2 years.
si]
X
$
?.

Answers

4,500 x 12/100 = 540
540+4,500= 5,040
In a year =
5,040 x 12=$60,480
2 yrs = 60,480 x 2 = $120,960

The required solutions are as  

(a) The amount owed at the end of 1 year is $ 5,040.
(b) The amount owed at the end of 2 years is $5644.8.

As mentioned in the question, a loan of $4500 is given at an interest rate of 12% compounded each year.

What is compound interest?

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here

(a)
The amount owed at the end of 1 year

= 4,500 × 12/100
= 540

Amount = 540+4,500
            = $5,040

(b)

The amount owed at the end of 2 years
= 5,040 × 12/100
= 604.8
Amount = 5040 + 604.8
Amount = $5644.8

Learn more about compound interest here: https://brainly.com/question/14295570
#SPJ2

PLEASE HELP!! URGENTT

Answers

Answer:

ST = 164.21 m

Step-by-step explanation:

The fraction RU/UV have to be equal to RS/ST, because the triangles are similar:

190/120 = 260/ST

Multiply both sides by ST:

190ST/120 = 260

Multiply both sides by 120:

190ST = 260•120

Divide both sides by 190:

ST = 31200/190

ST = 164.21 m

guys i really need help w this and it’s due in like 3 hours. i am panicking and none of my friends are helping at all PLS HELP GUYS i am so close to passing this assignment

Answers

Answer:

-221

Step-by-step explanation:

If a chicken weight is 3 3/4 pounds, how many ounces those it has?

Answers

Answer:

60 ounces

Step-by-step explanation:

Answer:

i belive its 60

Step-by-step explanation:

1 pound = 16 ounces

3/4 pound = 12 ounces

3 3/4 x 16 = 60

Please I need help with this question can you answer it for me please
Say that you borrowed $200 from your friend and returned $220 after a year. What are the principal and interest amounts in this scenario?
A.
Principal = $200, Interest = $220
B.
Principal = $200, Interest = $20
C.
Principal = $220, Interest = $200
D.
Principal = $220, Interest = $20
what is the answer.

Answers

Answer:

B. Principal = $200, Interest = $20

Step-by-step explanation:

Principal + Interest = Total

We have:

Principal = 200 and Total = 220

The interest is:

220 - 200 = 20

Correct choice is B

Total=$220

Principal=$200

Interest:-

Total-Principal220-200$20

Option B

a 6-pack of undershirts cost $13.98 this $3.96 less than the cost of buying 6 individual shirts. if each undershirts costs the same amount, how much does each undershirts cost when purchased individually

Answers

Answer:

Each undershirt costs $2.99 when purchased individually.

Step-by-step explanation:

The problem says that $13.98 is $3.96 less than the cost of buying 6 individual shirts which means that the total cost of buying 6 individual shirts is $17.94.

To find the price of 1 individual shirt, you divide 17.94 by 6. When you do this, you get $2.99. $2.99 is the cost of each undershirt when purchased individually.

Hope this helps!

A company has developed a training procedure to improve scores on the
SAT. Following the training, 100 high school students take the SAT. The average math score is 517, with s = 90. Assuming u = 500 for the math SAT, test
the null hypothesis. Did the training significantly improve scores (a = .05,
directional)?

Answers

Answer:

The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance

Null hypothesis is accepted at 0.05 level of significance

A company has developed a training procedure is significantly improve scores

Step-by-step explanation

Step(i):-

Given sample mean (x⁻ ) = 517

sample standard deviation (s) =90

Mean of the Population (μ) =500

Null Hypothesis :- H₀ : (μ) =500

Alternative Hypothesis : H₁ : μ ≠ 500

Step(ii):-

Test statistic

t = \frac{x^{-} -mean}{\frac{s}{\sqrt{n} } }

t = \frac{517 -500}{\frac{90}{\sqrt{100} } }

t = 1.717

Level of significance

∝ = 0.05

t₀.₀₅ = 1.6604

The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance

Conclusion:-

Null hypothesis is accepted at 0.05 level of significance

A company has developed a training procedure is significantly improve scores

is the symbol used for the universal set​

Answers

Answer:

I believe "U" is the symbol for your answer hope this helps!

Step-by-step explanation:

Calculate the area of this triangle.
14 cm
11 cm
18 cm

Answers

Answer:

73 cm (Estimated)

Step-by-step explanation:

Let's use hero's formula to solve this.

=> 1/2(14 + 11 + 18) = S

=> 1/2(43) = S

=> S = 21.5

√s(s - a)(s - b)(s - c)

=> √21.5(21.5 - 14)(21.5 - 11)(21.5 - 18)

=> √21.5 x 7.5 x 9.5 x 3.5

=> 73.2226911551 = Area of triangle

=> 73 cm² (Estimated)

Hoped this helped.

base x height divided by 2= 73cm

50 km/h east is an example of

acceleration

velocity

deceleration

time

?? help! K12 test.

Answers

Acceleration is the answer

Whats (8x+10) please help me T-T

Answers

Answer:

18x

Step-by-step explanation:

8·x=8x+10=18x

Rewrite the equation in Ax+BY =C form please and thank you

Answers

Answer:

3x - y = 20

a = 3, b = -1, and c = 20

Step-by-step explanation:

y + 2 = 3(x - 6) => y + 2 = 3x - 18 => 3x - y = 20

Which graph passes the vertical line test?
A.

B.

C.

D.

Answers

Answer:

Graph C.

Step-by-step explanation:

The rest of the graphs fail the vertical line test. This means some inputs (x values) contain more than one output (y value).

Answer:

C

Step-by-step explanation:

If a vertical line intersects the graph in some places at more than one point, then the relation is NOT a function.

answer choices A, B, and D intersect at more than one point vertically. Therefore, C is the correct answer.

Hudson Nissan of Charleston SC needs to sell Nissan Maximas as quickly as possible. The price on the cars are discounted by 1/5. If the original price is $40,000, what is the new price?
A.$45,000
B.$35,000
C.$32,000
D.$30,000

Answers

The answer is A )$45000

What is the value of f(-1/4)?

Answers

Answer:

The x-value we need to substitute into the equation is -1/4.

When we substitute,

f(-1/4)=-8(-1/4)+4

f(-1/4)=2+4

f(-1/4)=6

:)

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