There are 16 boys and 18 girls in a grade 6 math class . write the ratio of girls to boys in words as simply as possible

Use [tex]\sec\theta = \dfrac{1}{\cos{\theta}}[/tex]  to get

    [tex]\sec\theta -\cos{\theta}= \dfrac{1}{\cos{\theta}}-\cos(\theta})[/tex]

Then find a common denominator:

    [tex]\dfrac{1}{\cos{\theta}}-\cos(\theta}) = \dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta}[/tex]

But now make that one fraction:

    [tex]\dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta} = \dfrac{1 - \cos^2\theta}{\cos{\theta}}[/tex]

But that's just sin^2 on the top

    [tex]\dfrac{1 - \cos^2\theta}{\cos{\theta}} = \dfrac{sin^2\theta}{\cos{\theta}} = \dfrac{sin\theta\cdot sin\theta}{\cos{\theta}}[/tex]

Split that fraction up:

    [tex]=\dfrac{ sin\theta}{\cos{\theta}}\cdot sin\theta[/tex]

And tan = sin/cos

    [tex]=\tan\theta\cdot sin\theta[/tex]

A few but not all .

Let's learn some trigonometric identities

[tex] \boxed{\begin{minipage}{6cm} Important Trigonometric identities :- \\ \\ $\: \: 1)\:\sin^2\theta+\cos^2\theta=1 \\ \\ 2)\:\sin^2\theta= 1-\cos^2\theta \\ \\ 3)\:\cos^2\theta=1-\sin^2\theta \\ \\ 4)\:1+\cot^2\theta=\text{cosec}^2 \, \theta \\ \\5)\: \text{cosec}^2 \, \theta-\cot^2\theta =1 \\ \\ 6)\:\text{cosec}^2 \, \theta= 1+\cot^2\theta \\\ \\ 7)\:\sec^2\theta=1+\tan^2\theta \\ \\ 8)\:\sec^2\theta-\tan^2\theta=1 \\ \\ 9)\:\tan^2\theta=\sec^2\theta-1$\end{minipage}}[/tex]

Answer:

Step-by-step explanation:

Answer:5 rational numbers are 19/27, 20/27, 21/27, 22/27, 23/27

Step-by-step explanation:

Answer:

Step-by-step explanation:

6+8÷2=

6+4=

10

Answer:

10

Step-by-step explanation:

This can be calculated correctly using BIDMAS. This stands for Brackets, Indices, Multiply, Divide, Add, Subtract. Using BIDMAS will allow us to know what order to answer the question in.

In BIDMAS, Divide comes before Add, so we know to do this part first. So we do 8 divided by 2 which is 4.

The next part of our question is to add 6, so we do 6+4=10. So, 10 is the final answer.

Answer:

Y>1

Step-by-step explanation:

The values of the letters in coordinates (a, b) and (c,d) are;

a = -4

b = -6

c = 2

d = 6

We are given two equations;

-6x + 3y = 6  ---(eq 1)

x² + y = 10 ---(eq 2)

Let us make y the subject in eq 2 to get;

y = 10 - x²  --(eq 3)

-6x + 3(10 - x²) = 6

expanding further gives;

-6x + 30 - 3x² = 6

rearranging gives;

3x² + 6x - 24 = 0

Using online quadratic equation solver, we have;

x = -4 and x = 2

Putting x = -4 into eq 3 gives;

y = 10 - (-4)²

y = 10 - 16

y = -6

Putting x = 2 into eq 3 gives;

y = 10 - (2)²

y = 10 - 4

y = 6

Comparing with (a, b) and (c,d), we have;

a = -4

b = -6

c = 2

d = 6

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The answer is D. (-160)÷8

The answer can t be a decimal therefore a and c are out. The answer has to be negative bc it was a lost. Therefore since -160 was a loss it has to be negative

Answer:

D

Step-by-step explanation:

Loss = -160

Shared between 8 owners.

So, (-160) ÷ 8

Answer:

1000

Step-by-step explanation:

Answer: 1000

Step-by-step explanation:

Answer:

its already at its lowest. you can write it as a decimal 0.916667, but this fraction is already at its lowest.

Answer:

17

Step-by-step explanation:

The 'y' is increasing by 4 every time 'x' is going up by 1

Answer:

i can't understand ur question

y= -1/7x - 3 :))))))))))))

Answer:

y = 13

Step-by-step explanation:

Y = 5 + 2x but when x = 4 you replace any X variables with 4

So the equation now is 5 + 2(4) = 5 + 8 = 13

y = 13

hope with helped :)

Answer:

First option, relation 1 and relation 4

Step-by-step explanation:

Because they both cross one of the two axes once, which from what I remember, makes it a function.

Hope this makes sense, and please correct me if I'm wrong :)

Answer:

$4.56

Step-by-step explanation:

Answer:

It's not quite clear from my side

Step-by-step explanation:

because I am having Internet connection problems and my phone is not functioning properly

Answer:  x = 6

Step-by-step explanation:

The perimeter of the isosceles triangle = 2 leg + base

Since the perimeter = 60

then 60 = 2(5x - 3) + x

       60 = 10x - 6 + x

 60 + 6 = 11x

         6 = x

Answer:  y = -(4/3)x + 1

Step-by-step explanation:

Let's start with finding an equation of a straight line (y=mx+b) that goes through points (-2,1) and (6,7).

The slope of a line, m, is the change in y for the change in x, or Rise/Run.

This is derived from the two points.

Rise (7-1) = 6

Run (6 - (-2)) = 8

Rise/Run = 6/8 or 3/4

The line is therefore y = (3/4)x + b

Find b by using one of the two points.  I'll use (-2,1), but the other would also work.

y = (3/4)x + b

1 = (3/4)(-2) + b

1 = -(6/4) + b

b = 10/4

The line becomes y = (3/4)x + 10/4

--------

A line perpendicular to this will have a slope that is the negative inverse of the original line.  The negative inverse of (3/4) is -(4/3).

The perpendicular line will be:

y = -(4/3)x + b

Use point (-6,9) to find b:

y = -(4/3)x + b

9 = -(4/3)*(-6) + b

9 = (24/3) + b

b = (27/3 - 24/3) = 3/3 = 1

The line is y = -(4/3)x + 1

Answer:

Yes, the answer is C {3,5,7}

Domain of a function is the input value and range is the result or output value that we get.

Answer:

w ≤ 2/5

Step-by-step explanation:

−2w+7≥3w+5

Step 1: Subtract 3w from both sides.

−2w+7−3w≥3w+5−3w

−5w+7≥5

Step 2: Subtract 7 from both sides.

−5w+7−7≥5−7

−5w≥−2

Step 3: Divide both sides by -5.

−5w/−5≥−2/−5

w≤2/5

Answer:

w ≤ 2/5

the answer is d!

Step-by-step explanation:

the constant line starts at (-2, 1) and goes on forever

Answer:

5t - 18

Step-by-step explanation:

STEP 1: Simplify 8/5

equation at end-                                                                                                           8 (7 - 3t) -  (5 • ((0 -  (— • t)) +  5)) 5          

STEP 2:          2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  5  as the denominator :

      5     5 • 5

   5 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

\2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-8t + 5 • 5     25 - 8t

———————————  =  ———————

EQUATION AT END:  (25 - 8t)

 (7 - 3t) -  (5 • —————————)

                      5    

STEP 3:  (7 - 3t) -  (25 - 8t)

Answer:

JL = √38.

a = 1 and b = 38.

Step-by-step explanation:

Using Pythagoras:

(JL)^2 = (√8)^2 + (√30)^2

(JL)^2 = 8 + 30 = 38.

JL = √38.

Answer:

88ft per second hope i helped

Answer:

Well since you didn't provide the initial cost im just going to use 100$ as the initial cost.

the service costs 100 dollars minus the coupon of 10 dollars so 90 plus the sales taxes it is (which is 7.20$) it leaves us with a total of 97.20 saving him 10.80$ if he did not use the coupon

Step-by-step explanation:

Answer:

Step-by-step explanation:

the box is folded

Answer:

proof: answer is 2/13

1 / 6.5 = m

m = 0.153846154

10/65 = m

m = 2/13

2/13 = m

m = 0.153846154

Therefore we could show multiplication proof

m = 10/65  =   m = 2/13

2 x 5 = 10

13 x 5 = 65

Step-by-step explanation:

See attached graph of y = 6.5x+75.5

plotting the graph

1. Mark y intercept at 75.5 as given in the equation

2. find the slope to whole numbers

m =  10 across / 65 across = 6.5 slope

Mapping Pythagoras   10^2 +65^2 = c^2

sqrt 100 + sqrt 4225 = c^2

c^2 = sqrt 4225 = 65.7647322 = 65.8

0.7647322 / 65 = 0.0117651108 = 100th

65 + 0.0117651108 = 65.011765.....

Therefore 10 across / 65.0118  down

or 10 across  / 65 down is another way to graph, as seen on graph.

m = 10/65  =   m = 2/13

2 x 5 = 10

13 x 5 = 65

Answer:

He purchased 4 1/2 pounds of apples.

Step-by-step explanation:

Total of 13 dollars

One can of peanuts cost 4 dollars so subtract 4 from 13

You have 9 dollars that you spent on apples

if the apples cost 2 dollars per pound

divide

(how many times 2 can go in 9)

Only 4.5 (AKA 4 1/2)

9 divded by 2

Answer:$25.00

Step-by-step explanation:

Net Amount (excluding tax) $25.00

Tax (10.0%) $2.50

Gross Amount (including tax) $27.50

in short 10% tax of $25.00 is $27.50.

The required cost of the sweatshirt before tax s given as $24.50.

The percentage is the ratio of the compositions of matter to the overall composition of matter multiplied by 100.

Here,
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%.
Cost of the sweatshirt before tax = 27.50 - 10% of 27.50
                                                   = 27.50 - 0.1× 27.50
                                                  = $24.50

Thus, the required cost of the sweatshirt before tax s given as $24.50.

Learn more about percentages here:

brainly.com/question/13450942

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