Trigonometric identities assignment 4

Simplify 5 sin ø sec ø

A. 5 cot ø
B. 5
C. 5 cos ø
D. 5 tan ø

Trigonometric Identities Assignment 4Simplify 5 Sin Sec A. 5 Cot B. 5C. 5 Cos D. 5 Tan

Answers

Answer 1

Answer:

D. 5 tan ø

Step-by-step explanation:

[tex]5 \sin \phi \: \sec \phi \\ \\ = 5 \sin \phi \: \times \frac{1}{ \cos \phi} \\ \\ = 5 \frac{\sin \phi}{ \cos \phi} \\ \\ = 5 \tan \phi[/tex]

Answer 2

Answer:

Correct choice D.

Step-by-step explanation:

Trigonometric Identities

We need to recall some properties and definitions of the trigonometric functions.

[tex]\tan \theta=\frac{\sin\theta}{\cos\theta}[/tex]

[tex]\sec \theta=\frac{1}{\cos\theta}[/tex]

It's required to simplify the following expression:

[tex]5\sin\theta\sec\theta[/tex]

Substituting the identity for the secant:

[tex]\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}[/tex]

Operating:

[tex]\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}[/tex]

Now we use the definition of the tangent:

[tex]\displaystyle 5\sin\theta\sec\theta=5\tan\theta[/tex]

Correct choice D.


Related Questions

Simplify 1 3/4 : 2 1/3​

Answers

12 1/4 and 7.

please mark me as brainly

1 3/4 = 7/4 or 1.75

2 1/3= 7/3 or 2.33333333

Ms. Chawla’s class has 35 students. On children’s day, she gave 2 chocolates to each child in her class. After that, 5 chocolates were left with her. How many chocolates did she have at the start?

Answers

Answer:

75

Step-by-step explanation:

Total number of students = 35

Nø of chocolate received by each student = 2

Number of chocolates = 35 * 2 = 70

After the distribution of chocolate, remaining chocolates = 5

Then Now

Total chocolates = 70 + 5 = 75

Hope it will help :)

Answer:

75 Chocolates.

Step-by-step explanation:

She had 35 students and she gave each 2 chocolates. That's 70, but she had 5 left over. That makes the answer 75.

The equation of line p is y= -7/8x + 3/2. line q is parallel to line p. what is the slope of line q?

Answers

Answer:

The slope of Line q is -7/8.

Step-by-step explanation:

Remember that for two lines to be parallel, their two slopes must be equivalent.

We are given that the equation of Line p is:

[tex]\displaystyle y=-\frac{7}{8}x+\frac{3}{2}[/tex]

So, the slope of Line p is -7/8.

Line p is parallel to Line q. Therefore, the two lines have the same slope.

Hence, the slope of Line q must also be -7/8.

A day at the spa costs $125.
You leave a 20% tip.
How much tip did you leave?

Answers

Answer:

total cost is $150 so the tip is $25

Step-by-step explanation:

125:100=1.25

1.25 x 20 = 25

125+25=150

Is $25 tip................................

Subtract the equations
3х+4y - 17
- (3x+2y = 3)
A. 6х + 20
ов. - 6x = 14
Ос, 2у= 14
Op. бу 20

Answers

Step-by-step explanation:

3x - 3x = 0,

4y - 2y = 2y, and

17 - 3 = 14.

Hence,

3x + 4y = 17

- (3x + 2y = 3)

=> 2y = 14.

The correct answer is Option c.

Betty made 3:4 of the baskets she attempted in a basketball game. If she attempted 20 baskets, how many baskets did Betty make?

Answers

Answer:she would have made 15 baskets

Step-by-step explanation:She would have made 15:20 because since you had 3:4 it’s the same thing with 15:20 she is now going to make a maximum number of 15 baskets

Find question Mark then solve x

Answers

9/x = x/9

The answer is =9

On Monday, 414 students went on a trip to the zoo. All 9 buses were filled and 9 students had to travel in cars. Write an equation to find the number of students on each bus. Use b for your variable. Do not solve for b."​

Answers

Step-by-step explanation:

let the total number of students in each bus be 'b',

Total number of students in 9 buses= 9b

Total number of students in cars= 9

Hence, Total number of students= 9b+9

= 414

Number of students in each bus = (414-9)/9

Divide. Write the quotient in lowest terms. 4 2/3 divided by 1/2

Answers

Answer:

9.3 repeating

Step-by-step explanation:

Answer:

9 1/3

Step-by-step explanation:

Not sure I just used a calculator lol.

Can someone solve this problem

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

slope-intercept form: y = mx + b

Hope this helps:)

if 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures ...

Answers

Answer:

The third angle measures 80°

Step-by-step explanation:

Let us solve the question

In any triangle

∵ The sum of the measures of the interior angles of a triangle is 180°

∵ The angle of triangles are ∠1, ∠2, and ∠3

m∠1 + m∠2 + m∠3 = 180°

∵ Two of the angles of the triangle are 30° and 70°

∴ m∠1 = 30°

∴ m∠2 = 70°

→ Substitute them in the rule above

30° + 70° + m∠3 = 180°

→ Add the like terms

∵ (30 + 70) + m∠3 = 180

∴ 100 + m∠3 = 180

→ Subtract 100 from both sides

∵ 100 - 100 + m∠3 = 180 - 100

m∠3 = 80°

The third angle measures 80°

Somebody please help quickly

Answers

Angle B. Is 63 and Angle F. Is 59

Kyle went skydiving and jumped out of a plane that was 3,700 feet in the air. He fell at a rate of 75 feet every 5 seconds. How long will it take for Kyle to hit the ground?

Answers

I’m sorry i don’t know the answer but I absolutely love ur profile pic

The cost of 5 cans of dog food is 4.35 . At this price how much do 11 cans of dog food cost?

Answers

Answer: 9.57

Step-by-step explanation:

I added 4.35 by 4.35 wich would be 10 cans and then I divided 4.35 by 5

$9.57 the unit rate is 0.87 you multiply 0.87 x 11 which is $9.57

the answer to the length of x is in mm. please help!

Answers

Answer:

3.69 mm

Step-by-step explanation:

So it's a right triangle so you can use a^2+b^2=c^2

Plugging in what we know the equation becomes:

2.8^2+2.4^2=c^2 (C = x because x is the hypotenuse)

7.84+5.76=c^2

13.6=c^2

The square root of 3.68782 which rounds to 3.69

So x=3.69mm

3x+4y=24
2x+5y=2
Please help me with this problem

Answers

Answer:

x=16

y=-6

Step-by-step explanation:

There are three numbers for the combination to the store's safe. The first number is 17. The other two numbers can be multiplied together to give a product of 28. What are all of the possibilities for the other two numbers? Write your answers as multiplication equations, and then write all of the possible combinations to the safe.

Answers

Answer:

See Explanation

Step-by-step explanation:

Let the numbers be [tex]a, b\ and\ c.[/tex]

[tex]a = 17[/tex]

[tex]b * c = 28[/tex]

Required

Determine the possibilities for the other two

The possibilities of the other two (as a product) are:

[tex]1 * 28 = 28[/tex]

[tex]2 * 14 =28[/tex]

[tex]4 * 7 = 28[/tex]

All possible combinations are (where order is not important): 17 1 28, 17 2 14 and 17 4 7

What is the answer to 3(2M-6)

Answers

Hey there![tex]\bold{3(2m-6)}\\ \bold{Distribute\downarrow}\\\bold{3(2m) + 3(-6)}\\\bold{3(2m)=6m}\\ \bold{3(-6) =18}\\ \\ \\ \\ \boxed{\boxed{\bold{Answer: 6m-18}}}\huge\checkmark[/tex]Good luck on your assignment and enjoy your day! ~[tex]\frak{LoveYourselfFirst:)}[/tex]

Which of the following is the independent variable of G(F(y)) ?

A. F(x)
B. x
C.у
D. G(F(y))
SUBMIT

Answers

Given:

The composition of functions is G(F(y)).

To find:

The independent variable of G(F(y)).

Solution:

Independent variable is the variable whose value independent from other variable. It means the value of independent variables is not depend on the other variable.

We know that G(F(y)) can be written as

[tex]G(F(y))=(G\circ F)(y)[/tex]

Here, the value of function G depends on F(y) and the value of F(y) depend on variable y. But value of y does not depend on any variable. So, y is the  independent variable of G(F(y)).

Therefore, the correct option is C.

The number of lines shows 5/7 and 10/14. Which statement is true?

Answers

Answer:

[tex]\frac{5}{7} = \frac{10}{14}[/tex] because [tex]\frac{5}{7} = \frac{(5)(2)}{(7)(2)} = \frac{10}{14}[/tex].

Step-by-step explanation:

Looking at the number line, we can see that the highlighted parts go the same distance on the number line, therefore the fractions are equal. The number of equal parts, the size of a single equal part, or the denominators of two fractions do not matter. It's the total size made of up of those equal parts that counts.

Also, you can even convert [tex]\frac{5}{7}[/tex] into [tex]\frac{10}{14}[/tex] by multiplying BOTH the denominator and numerator by 2. When doing this with any number, regardless if it's 2, the original fraction and the converted fraction will still be equal.

Select true or false for each statement.
True
False
Surface area and volume both measure the amount of space
occupled by a solid figure.
A
B
True
False
Surface area and volume are measured using the same unit.
A
B
True
False
Surface area and volume are both attributes of solid figures.
A
B

Answers

Answer:

1 is false

2 is false

3 is true

Step-by-step explanation:

The sum of aanual interest and semi-annual compound interest on a sum of money for 2 years at the interest rate of 20% per annum is Rs. 18082. Find the differences.(Ans: Rs. 482)​

Answers

The differences between the annual interest and semi-annual interest will be Rs 435.78.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

The same of annual interest and semi-annual compound interest on a same of money for 2 years at the interest rate of 20% per annum is Rs. 18082.

The annual interest will be

⇒ 18082(1.2)² – 18082

⇒ Rs 7956.08

The semi-annual interest will be

⇒ 18082(1.1)⁴ – 18082

⇒ Rs 8391.86

Then the differences between the annual interest and semi-annual interest will be

⇒ 8391.86 – 7956.08

⇒ Rs 435.78

More about the compound interest link is given below.

https://brainly.com/question/25857212

#SPJ1

2. A recipe calls for 1/2 cup flour for every 3 cups
of milk. If you use 1 1/2 cups of flour, how many
cups of milk will you need to use?

Answers

Answer:

9 cups of milk is used

Step-by-step explanation:

1/2 + 1/2 + 1/2 = 1 1/2

3×3 = 9

John decided to look at new cars. John found a used car for $6000. A new car is $18000, so what percent of the price of a new car does john pay for a used car? Round your answer to the nearest tenth if necessary.

Answers

Answer:

50%

Step-by-step explanation:

6000 divided by 18000 is .50 and that multiplied by 100 gives you the percentage answer, which is 50.

This triangle has one side that lies on an extended line segment.

Based on this triangle, what statement about x is true?


x = 43 because 71−28=43 and 28 + 43 = 71

x = 81 because 180 − 71 − 28 = 81

x = 99 because 28 + 71 = 99 and 99 − 28 = 71

x = 137 because 180 − 71 + 28 = 109 + 28 = 137

Answers

A  n  s  w  e  r  :

C . . .

The measure of angle x is; 137 degrees, the statement (4) x = 81 because 180 − 71 − 28 = 81 is true.

What is a triangle?

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

In a triangle, the measures of the three angles add up to 180 degrees. In this triangle, one of the angles measures 71 degrees, and another angle measures 28 degrees.

Therefore, the measure of the third angle must be  48 degrees.

Since the measure of the third angle is 48 degrees, and the measure of one of the other angles is 33 degrees, the measure of the remaining angle must be 48 - 33 = 15 degrees.

Then the measure of the third angle must be 180 − 71 - 28 = 81 degrees.

Therefore, the measure of angle x is 81  degrees.

To learn more about the triangle, visit:

brainly.com/question/2773823

#SPJ6

Here’s!! hxhxhxbbd & thanks again

Answers

Answer:

x=2

Step-by-step explanation:

this is just like the last one. since it is vertical it only includes the x value 2

A soup recipe calls for a common ratio of salt to pepper as ½ oz : ¼ oz. How much salt and pepper will be needed to create a seasoning mixture that has a total of 5 ¼ oz?

Answers

Answer:

Pepper = 1¾ Oz

Salt = 3½ Oz

Step-by-step explanation:

Given

Salt : Pepper = ½oz : ¼oz

Required

Determine the amount of salt and pepper needed for 5¼ Oz

For ease of calculation, we first convert the ratio to integers.

[Multiply ratio by 4]

Salt : Pepper = 4 * ½oz : 4 * ¼oz

Salt : Pepper = 2 Oz : 1 Oz

Total Ratio = 2 + 1 = 3

The amount of salt needed is then calculated as:

Salt = (Salt Ratio * 5¼)/(Total Ratio)

Salt = (2 * 5¼)/3

Salt = ⅔ * 5¼

Salt = ⅔ * 21/4

Salt = 42/12

Salt = 3½ Oz

Amount of Pepper is calculated as:

Pepper = (Pepper Ratio * 5¼)/(Total Ratio)

Pepper = (1 * 5¼)/3

Pepper = ⅓ * 5¼

Pepper = ⅓ * 21/4

Pepper = 21/12

Pepper = 1¾ Oz

Fill in the blank with the correct inequality symbol.
If x>_5, then 4x __ 20



Answers

Answer:

4x5 = 20

Step-by-step explanation:

Im not rlly sure at all but hope this helps :)

Show work
Perform the operations to simplify the expression:
(5x^5 + 4) - (2x^3+9)+(6x^5-x^3)

A. 11x^5+3x^3 + 5
B. 11x^5 - 3x^3 - 5
C. -3x^5 + 22x^3 + 5
D. 3x^5 + 11x^1 + 5

Answers

Answer:

b.

Step-by-step explanation:

(5x^5 + 4) - (2x^3+9)+(6x^5-x^3)

5x^5 + 4 - 2x^3 - 9 + 6x^5 - x^3

5x^5 + 6x^5 = 11x^5

-2x^3 - x^3 = -3x^3

+4 -9 = -5

Please help it has to be in fraction form rounded all the way

Answers

Answer:

The answer to the question provided is

0 = [tex] - \frac{6}{5} [/tex]

It has no solutions.

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