Shareen walked a total of 8.68 miles in a walk-a-thon. If her average speed was 2.8 miles per hour, how long did it take Shareen to complete the walk?

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

1 + tan²A = sec²A , secA = [tex]\frac{1}{cosA}[/tex], cosecA = [tex]\frac{1}{sinA}[/tex] , cotA = [tex]\frac{cosA}{sinA}[/tex] , tanA = [tex]\frac{sinA}{cosA}[/tex]

Consider the left side

[tex]\frac{(1+tan^2A)cotA}{cosec^2A}[/tex]

= [tex]\frac{sec^2AcotA}{cosec^2A}[/tex]

= [tex]\frac{\frac{1}{cos^2A}(\frac{cosA}{sinA}) }{cosec^2A}[/tex]

= [tex]\frac{\frac{1}{cosAsinA} }{\frac{1}{sin^2A} }[/tex]

= [tex]\frac{1}{cosAsinA}[/tex] × sin²A

= [tex]\frac{sinA}{cosA}[/tex]

= tanA = right side , thus proven

Answer:B

Step-by-step explanation:

Answer

interior angles 370

exterior angles 350

I hope this helps!

Answer:

5q+9

Step-by-step explanation:

1. combine like terms

6q-q=5q and 4+5=9

2. combine those two

5q+9

Answer:

20

Step-by-step explanation:

Use a calculator, press squareroot button on a calculator and press 400 it will give you 20... Its like 20*20=400

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

20

Step-by-step explanation:

Hope it is helpful....

Answer:

4 sections

Step-by-step explanation:

What we know:

- There are 12 sections of the garden in total

- 1/3 will be planted with carrots

To determine the number of sections that should be planted with carrots, multiply 12 and 1/3.

[tex]12*\frac{1}{3}\\= \frac{12}{3}[/tex]

Simplify the fraction

[tex]= 4[/tex]

I hope this helps!

Answer:

19 is the numerical value

Step-by-step explanation:

Also, when it's converted to number I.e.

E = 14 , B = 11

= 14 + 11 = 25

But in letters the numerical value is

E + B = 19

Answer:

$7.5

Step-by-step explanation:

you just divide 37.50 by 5 to get the price of an individual senior ticket price

Answer:

[tex]\boxed{\textsf{ The number of Teachers that attented is \textbf{ 164 } .}}[/tex]

Step-by-step explanation:

Here it's given that a total of 762 people consisting of parents, students, and teachers, attended the Community Fair. There were 212 parents and 386 students at the fair .That is ,

Number of students:-

[tex]\sf\implies n(students) = 386 [/tex]

Number of parents :-

[tex]\sf\implies n(parents) = 212 [/tex]

Number of teachers :-

[tex]\sf\implies n(teachers) = ? [/tex]

Here the Number of teachers could be simply find out by subtracting the number of students and teachers from the total number of attendees .

[tex]\sf\implies n_{(teachers)}= n_{(total)}- n_{(students)}- n_{(parents)} \\\\\sf\implies n_{(teachers)}= 762 - 386 - 212 \\\\\sf\implies n_{(teachers)}= 762 - 598 \\\\\sf\implies\boxed{\pink{\frak{ n_{(teachers)}= 164 }}}[/tex]

Answer:

Angle b = 30 degrees

Step-by-step explanation:

3x = 90.

X= 30

Angle b = 30 degrees

Answer:

45

Step-by-step explanation:

because in total it's a 90-degree agle half of 90 is 45.

Answer:

Step-by-step explanation:

[tex]\frac{cos A}{cos B} =\frac{\frac{AC}{AB} }{\frac{BC}{AB} } =\frac{AC}{AB} \times \frac{AB}{BC} =\frac{AC}{BC} =\frac{3}{3} =1[/tex]

The value of cosA divided by cosB is equal to 1.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

It is given that in the right-angle triangle ABC the three sides are AB = 4.24, BC = 3 and AC = 3.

The value of cosine is the ratio of the base of the right-angle triangle and the hypotenuse of the right-angle triangle.

The value of cosA is calculated as below:-

cosA = 4.24 / 3

The value of cosB is calculated as below:-

cosB = 4.24 / 3

Calculating the ratio of cosA and cosB.

cosA / cosB =  [ 4.24 / 3 ] ÷ [ 4.24 / 3 ]

cosA / cosB = 1

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Answer:

For the problems presented, the following are the answers:

1. No graph is provided, sorry.

2. 2, 1/2

3. 12m

4. 30

5. 1.1, 9.1

6. 10.35, 1.35

22. -6, 2

Step-by-step explanation:

Please mark me brainliest if my answer is correct thank you and have a nice day

Answer: 6 and 7

Step-by-step explanation:

Let the numbers be x and x + 1

We can form and equation as:

2(x²) + (x+1)² = 121

2x² + (x + 1)(x + 1) = 121

2x² + x² + x + x + 1 = 121

3x² + 2x = 121 - 1

3x² + 2x = 120

3x² + 2x - 120 = 0

3x² - 18x + 20x - 120 = 0

3x(x - 6) + 20(x - 6)

Therefore, x - 6 = 0

x = 0 + 6

x = 6

The numbers are 6 and 7

The two numbers given in the statement is required.

The two numbers can be [tex]6,7[/tex] or [tex]-\dfrac{20}{3},-\dfrac{17}{3}[/tex]

Let [tex]x[/tex] be the first number

[tex]x+1[/tex] be the next consecutive number

From the statement we get

[tex]2x^2+(x+1)^2=121\\\Rightarrow 2x^2+x^2+2x+1=121\\\Rightarrow 3x^2+2x-120=0\\\Rightarrow x=\dfrac{-2\pm \sqrt{2^2-4\times3\left(-120\right)}}{2\times3}\\\Rightarrow x=6,-\dfrac{20}{3}[/tex]

If [tex]x=6[/tex]

the other number is [tex]x+1=6+1=7[/tex]

If [tex]x=-\dfrac{20}{3}[/tex]

the other number is [tex]x+1=-\dfrac{20}{3}+1=-\dfrac{17}{3}[/tex]

Learn more about quadratic equations:

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Answer:

60.25 then 34.5

Step-by-step explanation:

Answer:

60.75 and 119.25

Step-by-step explanation:

Answer:

[tex]x=-\frac{8}{19}[/tex]

Step-by-step explanation:

2(4x + 5) = 9(3x + 2)

Solve for x

___________________

We have an alrebaric expressio and are asked to solve for x, which to do this, we need to isolate x.

2(4x + 5) = 9(3x + 2)

Distribute :

(2(4x) + 2(5)) = (9(3x) + 9(2))

8x + 10 = 27x + 18

Subtract 10 from both sides :

8x = 27x + 8

Subtract 27x from both sides :

-19x = 8

8 = -19x

Divide both sides by -19 :

[tex]x=-\frac{8}{19}[/tex]

Answer:

25.12 cm

Step-by-step explanation

circumfernce=3.14n

c=3.14·8

c=25.12

Answer:

x=1,y=2

-2x-4y= -10 maltiple by -1 then 2x +4y

-7x-4y= -15

therfore 2x+4y=10

-7x-4y=-15 to find x or y you must zero one of them

ther fore 4y-4y=0

then 2x+(-7x)= -5x

-5x=10 +(-15) =-5

-5x = -5

divide by -5 both side,

x =1

to get the value of y the value of x supersed in to equation

-2(1) -4y = -10

-4y =-10 +2

-4y = -8 both dived by -4

y=2

Answer:

Option 1        y = 210 - 7x  

Step-by-step explanation:

Since she will be buying "x" amount of books she will lose money because she has to pay for them. Each book costs $7 so if she buys "x" books she will lose 7x dollars. Therefore the right equation would be...

y = 210 - 7x          (which is the first option)

Step-by-step explanation:

[tex] \frac{30}{6} = \frac{x}{5} \\ x = 25[/tex]

Answer:

3x+16=0

x=-16/3

is your answer

Answer:

3x+16= 125 answer is 109/3

Step-by-step explanation:

D is the 4th letter of the alphabet and u have 5 d which means 4×5=20(repeat the same step for the other letters

J is 10thh so 7×10=70

Next letter is F, you have 2 f's

F is the 6th letter of the alphabet

6×2=12

W which is the the last letter we have to do here is the 23rd letter of the alphabet and u have 1 so 23×1 is 23

Answer: 5/8b + 4/5

EXPLAIN: It's too easy explain it yourself. (LOL)

The value of the equation is A = ( 5/8 )b + 4/5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( 2/8 )b + ( 3/8 )b + ( 4/5 )   be equation (1)

On simplifying the equation , we get

A = [ ( 2/8 )b + ( 3/8 )b ] + 4/5

A = ( 5/8 )b + ( 4/5 )

On further simplification , we get

A = ( 25b + 32 ) / 40

Therefore , the value of A is ( 5/8 )b + ( 4/5 )

Hence , the equation is A = ( 5/8 )b + ( 4/5 )

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Answer:

$200

Step-by-step explanation:

12 x 16 = 192

192 + 8 = $200

Answer:

the answer is 5

Answer:

yea the answer is 5

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of hours spent on walking and let y represent the number of hours spent on biking.

Tenley wants to exercise at least 15 hours per week, therefore:

x + y ≥ 15        (1)

Tenley cover at least 90 miles total in her weekly workout, therefore:

3x + 10y  ≥ 90     (2)

x ≤ 12, y ≤ 10        (3)

Plotting the above constraints using geogebra online graphing tool. The solution to the problem is:

(5, 10) , (12, 10), (12, 5.4), (8.57, 6.43)