Trigonometric identities assignment 4

Simplify 5 sin ø sec ø

A. 5 cot ø
B. 5
C. 5 cos ø
D. 5 tan ø

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

1 3/4 = 7/4 or 1.75

2 1/3= 7/3 or 2.33333333

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.

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.

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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.

Answer:

4x5 = 20

Step-by-step explanation:

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

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.

Answer:

y = -2x + 5

Step-by-step explanation:

slope-intercept form: y = mx + b

Hope this helps:)

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.

9/x = x/9

The answer is =9

Answer:

x=16

y=-6

Step-by-step explanation:

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

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

Answer:

9 cups of milk is used

Step-by-step explanation:

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

3×3 = 9

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

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.

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.

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

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

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

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

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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

Answer:

9.3 repeating

Step-by-step explanation:

Answer:

9 1/3

Step-by-step explanation:

Not sure I just used a calculator lol.

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

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

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°

Answer:

The answer to the question provided is

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

It has no solutions.

Answer:

1 is false

2 is false

3 is true

Step-by-step explanation: