No files please help me on this for math

[tex]\tt (1 - sin ^2x)\times(1+tan^2x) = 1[/tex]

L.H.S

[tex]\tt cos^2x \times sec^2x[/tex]

[tex]\tt cos^2x \times \frac{1}{cos^2x}[/tex]

[tex]\tt \cancel{ cos^2x} \times\cancel{ \frac{1}{cos^2x}}[/tex]

[tex]\tt 1[/tex]

R.H.S

Hence proved

Step-by-step explanation:

[tex]{ \tt{ \blue{(1 - { \sin}^{2}x )(1 + { \tan }^{2}x) = 1 }}}[/tex]

• Remember → 1 + tan²x = sec²x

[tex] = { \tt{ \blue{(1 - { \sin }^{2}x)( { \sec}^{2}x) }}}[/tex]

• But sec²x → 1/cos²x

[tex] = { \tt{ \blue{(1 - { \sin}^{2} x)( \frac{1}{ \cos {}^{2} x} )}} }\\ \\ = { \blue {\tt{ \frac{1 - { \sin }^{2}x }{ { \cos }^{2}x } }}}[/tex]

• Remember from the first identity of trignometry;

[ cos²x + sin²x = 1 ].

• Therefore: [ cos²x = 1 - sin²x ]

[tex] = { \blue{\rm{ \frac{1 - { \sin}^{2}x }{1 - { \sin }^{2}x } }}} \\ \\ { \rm{ \blue{= 1 \: }}}[/tex]

Hence proved.

Answer:

30

Step-by-step explanation:

4(3)^2 +(3*-2)

4*9-6=36-6=30

Answer:

30

Step-by-step explanation:

Substitute x = 3 and y = - 2 into the expression

4x² + xy

= 4(3)² + 3(- 2)

= 4(9) - 6

= 36 - 6

= 30

Answer:

5km

Step-by-step explanation:

The formula for hypotenuse is

a squared + b squared = c squared,

4 squared is 16, and 3 squared is 9.

16+9 = c squared

25 = c squared

However, you don't want it to be squared, so you have to find the square root of 25, which is 5.

Answer:

{- 3, - 2, 0, 2 }

Step-by-step explanation:

The range is the y- coordinates of the points

(- 4, - 3 ) , (- 1, - 2 ) , (- 2, 0 ) , (0, 2 )

The y- coordinates are - 3, - 2, 0, 2

Then the range is { - 3, - 2, 0, 2 }

Answer:

y = 25x

Step-by-step explanation:

This is a straight line, so the formula is:

y = ax + b

a is the slope and b is the y-intercept.

Slope formula:

a = (y2 - y1)/(x2 - x1)

Select two random points from the line:

Slope a = (100 - 50)/(4 - 2) = 50/2 = 25

=> y = 25x + b

Use one of the points to find b:

50 = 25*2 + b

=> b= 0

So the equation is y=25x

Answer:

Marissa = 28 cakes in 2 weeks

Carlos = 60 cakes in 20 days

Shelby = 5 cakes in 2 days

To compare, make sure that the variables are of equal value

Marissa = 28 cakes in 14 days

Carlos = 60 cakes in 20 days

Shelby = 5 cakes in 2 days

How many cakes does each of them bake in a day?

Marissa = 28 ÷ 14

             = 2 cakes/day

Carlos = 60 ÷ 20

           = 3 cakes/day

Shelby = 5 ÷ 2

            = 2.5 cakes/day

Carlos has the steepest graph. This is because he has the largest number of cakes made per day compared to Marissa and Shelby.

Answer:

Step-by-step explanation:

It saids evaluate given the three different functions below: The graph f(x), the equation g(x) and the table h(x)

Answer:

The original price was $50.

Step-by-step explanation:

Your sweater now cost $28 after 20% off.

To find this we need to start with the price you paid ($28). We then use this cost to find the pre-coupon price. Since the coupon affords a 20% discount, that means you pay for 80%. To solve this, simply divide the price you paid by the percentage you paid.

$28/.80 = $35.

Now that we have the pre-coupon price ($35), we can use that to find the original price. Again, we'd want to divide that by the percentage you paid for, which is 70%.

$35/.70 = $50

Step-by-step explanation:

[tex](3r + 4) + (8r - 2) = 90[/tex]

[tex]3r + 4 + 8r - 2= 90[/tex]

[tex]11r = 88[/tex]

[tex]r = \frac{88}{11} \\ [/tex]

[tex]r = 8[/tex]

Answer:

1. Becky, 2. No one, 3. Brian and Carol, 4. Tom, 5. Jake

Step-by-step explanation:

The order has to be Brian, Tom, Jake, Becky, and Carol.

1. Becky

2. No one

3. Brian and Carol

4. Tom

5. Jake

Answer: 7r/3

Step-by-step explanation:

5r*7/15 = 35r/15 = 7r/3

Answer:

[tex]x\approx4.5[/tex]

Step-by-step explanation:

In relation to ∠U, we are given the triangle's opposite side and adjacent side. Therefore, we should use the tangent function to determine the opposite side:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(34^\circ)=\frac{x}{6.7}[/tex]

[tex]6.7tan(34^\circ)=x[/tex]

[tex]x=6.7tan(34^\circ)[/tex]

[tex]x\approx4.5[/tex]

Answer:

45 percent

Step-by-step explanation:

Have an awesome day!

Answer:

The answer is A and B

Step-by-step explanation:

y-y=m(x-x)

y-(-3)=m(x-(-5))

y+3=0.4(x+5)

y-y=m(x-x)

y-1=0.4(x-5)

Answer:

Step-by-step explanation:

The volume of the pool is given by ...

  V = LWH

Here, we have ...

  V = 2800 ft³

  H = 8 ft

  L = 3.5W

Filling in these values, we have ...

  2800 ft³ = (3.5W)(W)(8 ft)

  100 ft² = W² . . . . . . . . . . . . divide by 28 ft

  W = √(100 ft²) = 10 ft

  L = 3.5W = 35 ft

The pool is 10 ft by 35 ft.

Answer:

the image was not clear....hope the values are correct

Answer is in the attached file.

Answer:

2

Step-by-step explanation:

n = the smaller even integer

n +2 = the next even integer

The wording of the question translates into:

2n + (n+2) = -4

3n +2 = -4

3n = -6

n = -2

Step-by-step explanation:

11x-4<15

11x<15+4

11x<19

x<1

Answer:

4th option

Step-by-step explanation:

noting that i² = - 1

(8i)(5i)(- 4 - 6i)

= 40i²(- 4 - 6i)

= 40(- 1)(- 4 - 6i)

= - 40(- 4 - 6i) ← distribute parenthesis by - 40

= 160 + 240i

[tex](8i)(5i)(-4-6i)\\\\=40i^2(-4-6i)\\\\=-40(-4-6i)~~~;[i^2=-1]\\\\=160+240i[/tex]

Answer: 14 miles

Step-by-step explanation: 3.5d+5+2.5d+3

Answer:

A. trust me I did it and got 100

Answer:

D

since all the other 1st elements (Domains) of each ordered pairs are repeated in all options except D they are not functions.

In conclusion, a function is defined as a set of ordered pairs with wich each element of the domain has one unique y value.

Answer: not shaded i think

Step-by-step explanation:

Answer:

Not shaded, because the equation is not true when you plugged in ( 0,0)

Step-by-step explanation:

Answer:

x=68/9; y=38/3.

Step-by-step explanation:

1) according to the condition m(ABC)=m(DEF), then 6y-4=80, ⇒ y=38/3;

2) according to the condition AB=DE, then 10=3x-y. If y=38/3, then 10=3x-38/3; ⇒ x=68/9.

Answer:

x is 24°

Step-by-step explanation:

angles substended by the same chord or arc....90-66= 24°.

Answer:

30+48+x=180

x=102 ..........

..................

Answer:

9.2 ft

Step-by-step explanation:

The shape is a triangle, the 11 ft is your hypotenuse

You need to use the Pythagorean Theorem!

a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)

so --->

a^2 + (6^2) = 11^2

      a^2 + 36 = 121

             ~subtract 36 to the right side~

               a^2 = 85

now find the square root of 85:

               a = 9.21954

        round it to the nearest tenth:

                   a = 9.2

final answer: 9.2 ft

hope this helpsss

Step-by-step explanation:

Apply Pythagoren Theorem.

[tex] {x}^{2} + {y}^{2} = {c}^{2} [/tex]

where x and y is the legs (the sides that form a right triangle) and c is the hypotenuse.

the legs are 6 and our unknown. so let x represent the unknown

[tex] {6}^{2} + {x}^{2} = {11}^{2} [/tex]

[tex]36 + {x}^{2} = 121[/tex]

[tex] {x}^{2} = 85[/tex]

[tex]x = \sqrt{85} [/tex]

x=9.2

Answer:

Hi, the answer is a.

Step-by-step explanation:

1. 1800-200=1600

2. As 1800 is total x will be smaller amount. so....

3. when we write a subtraction statement bigger number - smaller number..

4. So answer will be 1600-x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match.

Then the expression is given as,

⇒ 1800 - x - 200

Simplify the expression, then we have

⇒ 1800 - x - 200

⇒ 1600 - x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

More about the equivalent link is given below.

https://brainly.com/question/889935

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Answer:

49

Step-by-step explanation:

9*7=63

7*7=49

There are 49 questions did Jackson answer correctly.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Jackson answered every 7 out of 9 questions correctly on a Spanish Quiz.

Total number of questions = 63

Now,

Let number of correct questions = x

So, By the definition of ratio, we can formulate;

⇒ 7 : 9 = x : 63

Solve for x as;

⇒ 7 : 9 = x : 63

⇒ 7 / 9 = x / 63

⇒ 7 × 63 / 9 = x

⇒ x = 7 × 63 / 9

⇒ x = 7 × 7

⇒ x = 49

Thus, There are 49 questions did Jackson answer correctly.

Learn more about the ratio visit:

https://brainly.com/question/2914376

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