Verify the identity

cosx/1-sinx=secx+tanx

Formula for a quarter circle's perimeter: C = ((pi x 2 x radius) / 4) + r + r

17.85 = ((3.14 x 2 x r) / 4) + 2r

17.85 = (6.28r / 4) + 2r

17.85 = 1.57r + 2r

17.85 = 3.57r

r = 5 meters

Hope this helps! :)

Answer:

160 months

Step-by-step explanation:

just took that ap3x quiz yerrr

Answer:

t = 16

Step-by-step explanation:

if you do 448 divided by 28 you get 16.

if you do 28 x 16 you get 448

Answer:

Correct option: b -> x + 20y

Step-by-step explanation:

From the first 50 kilometers, the price is a flat amount of x, and for the kilometers travelled thereafter, the price is y per kilometer.

If Ratnam travelled 70 kilometers, he needs to pay 'x' because of the first 50 kilometers, and (70 - 50) = 20 times y for the rest of the travel.

So the final price is:

x + 20y

Correct option: b

The correct option is b x + 20y

Given that,

Based on the above information, the equation is as follows:

x + (70 - 50)y

x + 20y

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Answer:

length = 14 feet  width = 6 feet

Step-by-step explanation:

you can use rational fractions so...

3/2=21/x         x=14

3/2=9/x          x=6

the x will convert inches to feet

Answer:

-14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x/2-5=-12

1/2x+-5=-12

1/2x-5=-12

Step 2: Add 5 to both sides.

1/2x-5+5=-12+5

1/2x=-7

Step 3: Multiply both sides by 2.

2*(1/2x)=(2)*(-7)

x=-14

Answer:

-14

Step-by-step explanation:

x/2 = -12 + 5 << add both sides by 5

x/2 = -7 << Combine -12 + 5

x = -14 << Multiply both sides by 2

This revolves around the idea of inverse operations

To get x by itself we needed to bring the other numbers to the other side of the equation.

Inverse operations is bring the numbers to the other side by doing the opposite operation it shows.

ex: if the number is +5 on one side, it will be -5 on the other

Hope this helps!

If you don't understand, please feel free to comment and let me know!

Have a great day!

Answer:

0.75c

Step-by-step explanation:

If we have an expression as:

a*x + b*x

We can see that both terms in the expression, a*x and b*x have an x, so we can call the x a common factor and we can write an equivalent expression as:

a*x + b*x  = (a + b)*x

If we replace, for example, a by 2, b by 3 and x by 4, we can test the expression as:

2*4 + 3*4  = (2 + 3)*4

 8   +  12  = (5)*4

    20        = 20

Therefore, if we have the following expression:

c - 0.25*c

The expression that is equivalent is 0.75c and it is calculated as:

c - 0.25*c = (1 - 0.25)*c

c - 0.25*c = 0.75*c

Answer:

a. 1057 is not a perfect square

b. 23453 is not a perfect square

c. 2304 is a perfect square

d. 1057 is not a perfect square

Step-by-step explanation:

A perfect square is a number x where the square root of x is a number a such that a² = x and a is an integer. For example, 4, 9 and 16 are perfect squares since their square roots, 2, 3 and 4, respectively, are integers.

Answer:

As shown in attached file:

green is f(x) = -3 if -2 <= x <= -1

red is f(x) = -2 if -1 <= x <= 0

blue is f(x) = -1 if 0 <= x <= 1

Hope this helps!

:)

Answer:

Surface area: 310.86 sq ft

Step-by-step explanation:

First, find the surface area of the cylinder. This can be found by finding the area of the circle at its base, and then the area of its mid-region.

The area of the circle can be found using the formula: a = pi(r^2). r stands for radius, which is 3 in this problem. 3^2 equals 9, which, multiplied by pi (3.14), equals 28.26.

The area of the cylinder's mid-region is equal to the circumference of the circle multiplied by the height of the cylinder. The circumference of the circle is equal to c = 2pi(r), or in this case: 18.84. Now, multiply this value by the height to get 226.08 as the area of the mid-region.

Lastly, find the surface area of the sphere. This can be found using the equation a =4πr^2. r is, again, radius, which in this problem can be represented by 3. The surface area of a sphere with a radius of 3 is 113.04. However, this figure only shows half a sphere, which can be found by dividing 113.04 in half. This gets you 56.52.

Now, simply add all the areas together to get the total surface area!

Answer:

Here you go

Step-by-step explanation:

A) 3x

B) -2p + 9

C) 13+6w

D) 2(5d + 3c +1)

E) 2(4g - 3)

F) 11a

Answer:

a. 3x

b. -2p+9

c. 6w+13

d. 6c+10d+2

e. 2(4g-3)

d. 11a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

can i get brainleist plz

Answer:

The first choice

Step-by-step explanation:

When the question says 6 hours or less, then you would use this sign ≤.

The answer choices are easy to cross out because there's only one answer choice that matches the question and that is letter choice A.

8x goes with ≤ 6 and 12x goes with the number that is greater than 6. So, your answer choice is A.

Answer:

d.32

Step-by-step explanation:

To get the Least Common Multiple (LCM) of 8 and 32 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

8:   222    

32:   22222

LCM:   22222

The Least Common Multiple (LCM) is:   2 x 2 x 2 x 2 x 2 = 32

The least common multiple is = 32

The denominators are 8 and 32.

The multiples of 8 are = 8, 16, 24, 32, 40, ....

The multiples of 32 are = 32, 64, ....

So the least common multiple is = 32

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Answer:

hey i think its 5 what do u think please folow me

Answer:

Solution:

The average marks of candidates in an aptitude test was 128.5 with a standard deviation of 8.2. Three scores extracted from the test are; 148, 102 and 152.

To find : average of the extracted scores that are the extreme values (outliers)

The average marks of candidates in an aptitude test was 128.5

=> Mean = 128.5

Standard Deviation = 8.2

outlier will be out sides   then range    Mean  ± 3* SD

128.5 ± 8.2 × 3

= 128.5 ± 24.6

Range is   ( 103.9  ,  153.1)

102 is outside this range

Answer:

Difference = 480.9 in³

Step-by-step explanation:

Given

Cylinder;

Height, h = 3¾ inches

Radius, r₁ = 6 inches

Sphere

Radius, r₂ = 6 inches

The volume of a cylinder is calculated as thus

Volume, V₁ = πr₁²h

The volume of a sphere is calculated as this

Volume, V₂ = 4/3 πr₂³

Calculating the volume of the cylinder

V₁ = πr₁²h becomes

V₁ = π * 6² * 3¾

V₁ = π * 36 * 3¾

V₁ = π * 36 * 15/4

V₁ = π * 540/4

V₁ = π * 135

V₁ = 135π in³

Calculating the volume of the sphere

V₂ = 4/3 πr₂³ becomes

V₂ = 4/3 * π * 6³

V₂ = 4/3 * π * 216

V₂ = 864/3 * π

V₂ = 288π in³

The difference between the volume is calculated as thus.

Difference = V₂ - V₁

Difference = 288π - 135π

Difference = 153π

Take π as 22/7

Difference = 153 * 22/7

Difference = 480.9 in³ (Approximated)

Answer:yes

Step-by-step explanation:

5*3=15

5*3x=15x

The expression 15x is not the equivalent of the expression 5•3ˣ.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

Jada rewrites 5•3ˣ as 15x.

We do not agree with Jada that these are equivalent expressions because she made the mistake.

As per the given obtained expression, we can see that here write 15 as the coefficient of variable x which is actually the power of an argument. the original expression was an exponential function that has 3 representing the base. thus, it cannot be multiplied the 5 by 3.

Thus, the expression 15x is not the equivalent of the expression 5•3ˣ.

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ2

Answer:

10% probability that the number is greater than 2, then P

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Event A: Number greater than 2.

Event B: Letter P.

These events are independent, so:

[tex]P(A \cap B) = P(A) \times P(B)[/tex]

P(A)

There are 5 numbers.

3, 4 or 5, that is, 3 numbers greater than 2.

3/5 = 0.6. So P(A) = 0.6.

P(B)

6 letters, one of which is P. So

P(B) = 1/6 = 0.1667.

What is the probability the number is greater than 2, then P?

[tex]P(A \cap B) = P(A) \times P(B) = 0.6 \times 0.1667 = 0.1[/tex]

10% probability that the number is greater than 2, then P

Answer:

A and B

Step-by-step explanation:

The "zeros" of the quadratic equation simply refers to what x equals when q(x) = 0.

Set the equation equal to zero as so: 0 = x^2 - 9, and solve!

9 = x^2

+/- 3 = x, when q(x) = 0.

This means that the two points you are trying to find are (-3, 0) and (3, 0)!

Answer:

the triangles are in AA similarity.

Step-by-step explanation:

CB/DE = AB/AD

3/11 = x/9

cross multiply to get;

x = 2.45

Answer:

2 < x

Step-by-step explanation:

7-2(x + 2) <-4 - 3(1 - x)

Distribute

7 - 2x-4 < -4 -3 +3x

Combine like terms

3 -2x < -7+3x

Add 2x to each side

3 -2x+2x< -7+3x+2x

3 < -7+5x

Add 7 to each side

3+7 < -7+7+5x

10 < 5x

Divide each side by 5

10/ 5 < 5x/5

2 < x

Answer:

3n + 2

Step-by-step explanation:

Answer:

x=-14

Step-by-step explanation:

first you add 5 to both sides, to get x/2=-7 then multiply each side by two to get x=-14 that is your answer :D

unless, it is [tex]\frac{x}{2-5}[/tex]=-12 if so than the answer would be 36

Answer:

3,165.12 square meters

Step-by-step explanation:

To find the surface area of a cylinder, first separate the shapes you must find the area of. In this case, you need to find the areas of two circles and one rectangle (the height).

The two circles can be found using the equation: a = pi(r^2). r means radius!

12 squared is 144, which, multiplied by pi, is 452.16 square units. Because there are two circles, you can multiply this area by two to get the area of both: 904.32.

The rectangle can be found by multiplying the circumference of the circle by the height of the cylinder. The circumference can be found with the equation: c = 2pi(r). The circumference of this cylinder's base is 75.36, which, multiplied by the height of the cylinder, is 2,260.8.

Now that you have both the area of the circles and the side, you can add them both together and get the surface area.

Answer:

7

Step-by-step explanation:

Answer:

The percentile rank of someone who earns $75,000 per year is the 85th percentile.

Step-by-step explanation:

Meaning of percentile:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

In this question:

Working population of 10,500

8,925 people earn less than $75,000 per year.

8925/10500 = 0.85

0.85*100 = 85

The percentile rank of someone who earns $75,000 per year is the 85th percentile.

Answer:

I'm not sure but I believe the correct answer is line L2.

Step-by-step explanation:

It seems to be closer to more points than the other lines.

If it is not L2, it must be L3.

Answer:

60% that his or her drink will be a medium.

Step-by-step explanation:

Total amount orders = 5 + 48 + 22 +8 +12 +5

= 100

48 + 12 = 60 (medium orders)

60 out of 100 = 60%

Therefore it is 60%