Arjun's family is traveling in a car at a constant speed of `65` miles per hour. How far do they travel in `25` minutes?

Answer:

1. Sine θ = 1/3

2. Cos θ = 2√2 / 3

3. Tan θ = √2 / 4

4. Cosec θ = 3

5. Sec θ = 3√2 / 4

6. Cot θ = 2√2

Step-by-step explanation:

We'll begin by determining the adjacent. This can be obtained as follow:

Hypothenus (Hypo) = 9

Opposite (Opp) = 3

Adjacent (Adj) =?

Hypo² = Adj² + Opp²

9² = Adj² + 3²

81 = Adj² + 9

81 – 9 = Adj²

72 = Adj²

Take the square root of both side

Adj = √72

Adj = 6√2

Finally, we shall determine six trigonometric functions of the angle θ. This Can be obtained as follow:

1. Determination of Sine θ

Hypothenus = 9

Opposite = 3

Sine θ =?

Sine θ = Opposite / Hypothenus

Sine θ = 3/9

Sine θ = 1/3

2. Determination of Cos θ

Adjacent = 6√2

Hypothenus = 9

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = 6√2 / 9

Cos θ = 2√2 / 3

3. Determination of Tan θ

Opposite = 3

Adjacent = 6√2

Tan θ =?

Tan θ = Opposite / Adjacent

Tan θ = 3 / 6√2

Tan θ = 1 / 2√2

Rationalise

(1 / 2√2) × (2√2 /2√2)

= 2√2 / 4×2

Tan θ = √2 / 4

4. Determination of Cosec θ

Sine θ = 1/3

Cosec θ =?

Cosec θ = 1 / Sine θ

Cosec θ = 1 ÷ 1/3

Cosec θ = 1 × 3/1

Cosec θ = 3

5. Determination of sec θ

Cos θ = 2√2 / 3

Sec θ =?

Sec θ = 1 / Cos θ

Sec θ = 1 ÷ 2√2 / 3

Sec θ = 1 × 3 / 2√2

Sec θ = 3 / 2√2

Rationalise

= (3 / 2√2) × (2√2 / 2√2)

= 3 × 2√2 / 4×2

Sec θ = 3√2 / 4

6. Determination of Cot θ

Tan θ = √2 / 4

Cot θ =?

Cot θ = 1 / Tan θ

Cot θ = 1 ÷ √2 / 4

Cot θ = 1 × 4 / √2

Cot θ = 4 / √2

Rationalise

= (4 / √2) × (√2 / √2)

= 4√2 / 2

Cot θ = 2√2

Answer:

10

Step-by-step explanation:

|-8| = 8

Answer:

10

Step-by-step explanation:

The absolute value is never negative and is shown by the vertical line.

|-8|=8 and |2|=2.

8+2=10

Answer:

x=30

Step-by-step explanation:

x/5-16=-10

x/5=-10+16

x/5=6

x=6×5

x=30

Answer:

ΔLMN ≅ ΔLQP by (SAA)

Step-by-step explanation:

It is given that line (NM) is congruent to the line (PQ), meaning they have the same measure. This is signified by the small red line on each of these sides.

Moreover, it is also given that angle (MNL) is congruent to angle (QPL), this is shown by the red arc around these angles.

Finally one can figure out that angle (NLM) is congruent to angle (PLQ) by the vertical angles theorem. The verticle angles theorem states that when two lines intersect, the opposite angles are congruent.

Thus the two triangles are congruent by side-angle-angle postulate, abbreviated as (SAA).

Step-by-step explanation:

To me yes.

Algebra is mostly memorization. If you know the formulas and know how to apply it, you should do good.

I say use this. Algebra topics are like building on top each other.

Heart of Algebra:

Then move on to other algebra topics dealing with algebra like

Since you learned different function rules, we can move on to learning exponetial functions, graphs, and word problems.

Then finally, learn most hard thing in Algebra: Quadratics.

Pratice,practice, and practice and you will pass.

Try to memorize the formulas and know when to apply it.

Good Luck

Answer:

1.5 I think?

Step-by-step explanation:

it was counting by 6 but then skipped to 26 so I assume it is 1.5

Answer:

m∠ONP = 43*

m∠LNO = 137*

m∠MNP = 137*

Step-by-step explanation:

Each line segment is a straight line meaning they are each worth 180°, so if you take 43° from 180° you're eft with 137° which is what ∠LNO and ∠MNP are equal to. ∠ONP is 43° since it is a vertical angle to ∠MNL which is also 43°.

Answer:

I don't know, I'm just doing this to get points. lol

Step-by-step explanation:

haha

Answer:

x+66+55=180(being sum of the angle of triangle=180degree

x=180-121

therefore, x=59

plz give me thanks

Answer:

All triangles have angles that add up 180 degrees.

So Angle x = 180 - 55 -66

which equals 59 degrees.

Step-by-step explanation:

Centre ( - 10 , 7 )

Radius -> 4 unit

Answer:

-23/6=y

Step-by-step explanation:

3x-6y=11

3*-4-6y=11

-12-6y=11

y=-23/6

Hello!

Assuming that we are using U.S. terms, there are sixteen cups in a gallon.

We can assume that there are six cups per tenth of the cooler. Our first job is to multiply 6 times 10 to get the amount of cups of sports drink.

6 · 10 = 60.

Now we need to find out how many gallons of sports drinks there are. To find how many cups go into a gallon, we divided 60 by 16.

60 ÷ 16 = 3.75

So, for our final answer,

Jaylen made 3.75 gallons of sports drink. (3 [tex]\frac{3}{4}[/tex])

waffletowne

Answer:

20 -20 0-15 0-5

Step-by-step explanation:

The original graph

Hope this helps you :)

x

2

−

3

x

+

7

−

24

x

+

3

Step-by-step explanation: brainly plz

Answer:

[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]

Answer: 14.4

Step-by-step explanation:

3 bottom sections:

10 x 20 = 200

5x 20 = 100

10 x 20 = 200

Bottom area = 200 + 200 + 100 = 500 square feet.

Short side: 3 x 20 = 60

Deep end wall : 6 x 20 = 120

Side wall : (24 x6) - (10x3) - (1/2 x 4x3) = 144-30-6 = 108

2 side walls: 108 x 2 = 216

Total area : 500 + 216 + 60 + 120 = 896 square feet

Divide total area by area of 1 gallon:

896/400 = 2.24 gallons

It will take 2.24 gallons of paint

Answer:

What website is this picture on. I can not see the picture.

Step-by-step explanation:

Given:

The equation of a parabola is:

[tex]y=-2x^2+7x+4[/tex]

To find:

The vertex of the graph of the given equation by using a graphing calculator.

Solution:

We have,

[tex]y=-2x^2+7x+4[/tex]

By using the graphing calculator, draw the graph of the given equation as shown below.

From the below graph it is clear that the function is maximum at point (1.75,10.125).

So, the vertex of the given equation is (1.75,10.125).

Therefore, the correct option is c.

Answer:

2 * pi * 42 meters

Step-by-step explanation:

One round means a parameter of the circle

Answer: A) multiply the input by 6.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

12÷2=6

36÷6=6

48÷8=6

54÷9=6

72÷12=6

so that means you have to multiply the input by 6.

Answer:

1

Step-by-step explanation:

1/2 x 2 = 1

2 and 2 cancel out, leaving 1/1

Hope that helps! :)

<3 Cin

Answer:

I got the answer one

Step-by-step explanation:

1/2 x 2

2 x 1 = 2 ÷ 2 = 1

Answer:

-3c + 8

Step-by-step explanation:

2 - 7c + 12 + 4c - 6

Arrange by like terms.

-7c + 4c + 12 + 2 - 6

Combine terms.

-3c + 12 + 2 - 6

Simplify.

-3c + 8

Answer:

[tex]8 - 3c[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](2 + 12 - 6) + ( - 7c + 4c)[/tex]

2) Simplify.

[tex]8 - 3c[/tex]

hence, the answer is 8 - 3c.

Answer: ( 4, 5/4)

Step-by-step explanation: x = 4, y = 5/4

Answer:

7/12lb

Step-by-step explanation:

5-1 2/3-2 3/4

=5-5/3-11/4

=10/3-11/4

=40/12-33/12

=7/12lb

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

There was an initial amount of 5 lbs.

[tex]1\frac{2}{3}+2\frac{3}{4}=4\frac{5}{12}[/tex]

4 (5/12) of the sugar was used.

[tex]5 - 4\frac{5}{12}=\boxed{\frac{7}{12}}[/tex]

(7/12) of sugar should be remaining.

Hope this helps.

Answer:

Answer:

320 marks = 40 percent therefore the total marks for the exam= 320+320+160=800 marks.

Step-by-step explanation:

let the full marks be " x "

Rajani has scored 295 marks , if she would had scored 25 more marks then she would had passed the examination,

So, passing marks :

=》295 + 25

=》320

passing percentage ( P% ) :

=》

[tex]40 = \dfrac{passing \: \: marks}{total \: \: marks} \times 100[/tex]

=》

[tex]40 = \dfrac{320}{x} \times 100[/tex]

=》

[tex]x = \dfrac{320 \times 100}{40} [/tex]

=》

[tex]x = 8 \times 100[/tex]

=》

[tex]x = 800[/tex]

So, passing marks = 800 marks

Answer:

The answer is 25

Step-by-step explanation:

Answer: 25 Is the correct answer.