Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)

Step-by-step explanation:

To prove :

( 1 - sin x ) ( 1 + sin x ) = sec² x

LHS : -

( 1 - sin x ) ( 1 + sin x )

Formula / Identity : -

( a - b ) ( a + b ) = a² - b²

Here,

a = 1

b = sin x

( 1 - sin x ) ( 1 + sin x )

= 1 - sin² x

Identify : -

sin² θ + cos² θ = 1

cos² θ = 1 - sin² θ

Similarly,

1 - sin² x

= cos² x

= RHS

Hence verified.

Answer:

24

Step-by-step explanation:

Sara = x age

Amy = x+2        when Sara  x = 22    Amy is x + 2 = 24

Product of ages = 528 so............

    x(x+2) = 528

    x² + 2x - 528 = 0     solve for x         I did it graphically first to get x = -24, 22

    (x+24) (x-22)  = 0

   (x+24) = 0         (x-22) = 0

           x = -24             x = 22        since you really can't have a negative age

Answer:

The shapes are triangles with same base and height

The area of a triangle is the half of the product of the base and height

A = 1/2bh is same for both shapes, so they have same area

Answer:

8/5

Step-by-step explanation:

We can use a proportion to solve this question, if we put the values of x on the left of the equal and the value of y on the right we have

20 : -4 = -8 : y

y = (-4*-8)/20

= 32/20

= 8/5

Answer:

yes

Step-by-step explanation:

It is equal to 1 kilometer

Please mark brainliest

Answer:

C. 4x + x < 150

Step-by-step explanation:

x = Joey's points

4x = Liz's Points

together they have fewer than 150 points means the inequality is < 150

So the answer is:  4x + x < 150

Answer:

This may help you I think so

Answer:

People in GenZ will definitely be using more Mobile Banking App. Because this generation is very attached to such devices. I have seen a very good amount of examples where people send money, pay bills, and even receive money through their phones. Most of the things can be done through the Mobile Banking App instead of using other methods.

Answer:

17/5

Step-by-step explanation:

If cosθ = 12/13, find (1+cotθ)

As shown in the diagram attached,

Cotθ = 1/tanθ = adjacent/opposite

From the diagram attached,

cotθ = 12/a................... Equation 1

But we can find the value of a by using  pythagoras theorem

13² = 12²+a²

169 = 144+a²

a² = 169-144

a² = 25

a = √25

a = 5.

Substitute the value of a into equation 1

Therefore,

cotθ = 12/5

(1+cotθ) =(12/5)+1 = (5+12)/5

(1+cotθ) = 17/5

Answer:

-1

Step-by-step explanation:

Answer: 406 miles

Step-by-step explanation: First you have to figure out how many miles he traveles per hour and to do that you divide 174 by 3 to get 58. Then multiply that by 7 because that is the amount of hours he should be traveling to get 406

Answer:

406 miles

Step-by-step explanation:

First find how far Martin can travel in 1 hour, then multiply by 7(hours):

174 ÷ 3 = 58

58 × 7 = 406

Answer:

4x+5 hope it helps :-)

Step-by-step explanation:

hdhdhch

9514 1404 393

Answer:

  4x +5

Step-by-step explanation:

The product of a constant and a variable is indicated in algebra by writing them next to each other.

  "the product of 4 and x"   ⇒  4x

"Increased by 5" means that 5 is added to the product.

  4x +5 . . . . . . the product increased by 5

Answer:

the answer is a

Step-by-step explanation:

Answer:

answer: y+2/3x+5

Step-by-step explanation:

because

Answer:

About 7.84 years before the deer population is 400

Step-by-step explanation:

So first we write our equation

125(1.16)^x = 400

Then we divide all sides by 125

1.16^x=3.2

x log 1.16 = log 3.2

06445798922x=0.50514997832

x= 7.83688700862

7.83688700862 years to go!

so first you wanna break down the 85 minutes so 1 hour is 60 minues now its 7:45 but we still have 25 minutes left sow now we add the minutes it will be 8:05

8:05 is the answer

Answer:

Step-by-step explanation:

Answer:

3

one

will represent

the student

Answer:

The area of the circle is 27

Step-by-step explanation:

Using the formula given to us, we know that the area of the circle = pi times the radius squared. This gives us an indication of what we need to do. We must first understand that the radius of the circle is 3. Multiply the radius by the 2nd power (multiply 3 by 3), and we get 9. They then ask us to substitute 3 for pi, meaning instead of pi times 9, it's 3 times nine, and 3*9=27. And there is your answer.

Answer:

arc TQ= 69°          (44 + 25)

arc QR = 155°       (180 - 25)

arc TS = 111°         (360 - 44 - 25 - 155 - 25)

arc SQR = 335°    (360 - 25)

arc RQT = 224°    (155 + 25 + 44)

Answer:

1. C(9,4) : n=9, s=4

2. C(10,5) : r=5

3. C(5,5) : n=5

4. C(7,7) : n=6

5. C(18,17) : r=3

Step-by-step explanation:

Answer:

40213........................

Answer:

5647+34566=40213 is your answer

Answer:

x=4, y=5

Step-by-step explanation:

Download photo math and take a picture of it

Answer:

9(p + 4)

Step-by-step explanation:

One of the unknown variable is p.

First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).

Translating the word problem into an algebraic expression, we have;

9 * (p + 4) = 9(p + 4)

Simplifying further, we have;

9p + 36

The original price of the gourmet candy is $44, as per linear equation.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."

Given, the percent of discount at Dave's candy store is 15% = 0.15.

Sale price of a gourmet candy is $37.40.

Let, the original price of the gourmet candy is x.

Therefore, [x - (x × 0.15)] = 37.40

⇒ (x - 0.15x) = 37.40

⇒ 0.85x = 37.40

⇒ x = (37.40/0.85)

⇒ x = 44

Therefore, the original price of the gourmet candy is $44.

Learn more about a linear equation here: brainly.com/question/2984088

#SPJ2

Answer:

Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.

Answer:

Step-by-step explanation:

Answer:

(364.595 ; 391.405)

Step-by-step explanation:

Given the sample data:

406, 385, 389, 383, 352, 379, 388, 343, 368, 387

Using calculator :

Sample mean, xbar = 378

Standard deviation, s = 18.74

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/√n

TCritical at df = 24 ; 0.05 = 2.262

Margin of Error = 2.262 * 18.74/√10 = 13.405

Lower boundary = (378 - 13.405) = 364.595

Upper boundary = (378 + 13.405) = 391.405

(364.595 ; 391.405)