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4 years ago

30 pointss!HELP! Two students get into an argument about the correct answer.

Mathematics

1 answer:

Mamont248 [21]4 years ago

7 0

Both Rhianna and Christopher were correct as they took different reference angles.

Step-by-step explanation:

Step 1:

$tan \theta = \frac{opposite side}{adjacentside} .$

The value of the tan of a reference angle is calculated using the above formula.

The hypotenuse is the longest side of the triangle is always opposite the right angle of the triangle.

In this triangle, the hypotenuse is the side measuring 5 units.

Step 2:

When the reference angle is A, the opposite side measures 3 units and the adjacent side measures 4 units.

So $tan A = \frac{3}{4} .$

When the reference angle is C, the opposite side measures 4 units and the adjacent side measures 3 units.

So $tan C = \frac{4}{3} .$

So both Rhianna and Christopher were right as they took different reference angles i.e. A and C.

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Fifteen DVDs are to be arranged on a shelf. 4 of the DVDs are horror films, 6 are comedies, and 5 are science fiction. In how ma

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Answer:

I believe it is 6 .........

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3 years ago

Every day, two student council members are randomly chosen to read the morning announcements. Students cannot be chosen more tha

Nesterboy [21]

Complete Question

The table shows the number of grade 7 and grade 8 students on the student council at Jeremy’s school.

Number of Students

Grade 7 - 17
Grade 8 - 34

Answer:

C- The number of outcomes representing each grade level does not change after the first student is chosen.

Step-by-step explanation:

The ratio of Grade 7 students to Grade 8 students is:

17:34

This written in reduced form is 1:2

Therefore, initially, the six parts of the cube can be divided into the ratio 2:4 which Jeremy did.

However, after the first selection of a student, the ratio of Grade 7:Grade 8 student changes since the same student cannot be chosen more than once.

Therefore the cube rolls represent only the first student choice and may not be accurate for subsequent rolls.

The correct option is C.

3 0

3 years ago

X+19=13 Find the value of x.

Oliga [24]

To find the value of x we need to use the INVERSE OPERATION of addition which is subtraction. Then we will check our work. lets do it:-

x + 19 = 13
x = ?
13 - 19 = x
13 - 19 = -6
x = - 6

CHECK OUR WORK:-

x + 19 = 13
x = -6
-6 + 19 = 13
We were RIGHT!!

So, x = -6

Hope I helped ya!! xD

4 0

4 years ago

Read 2 more answers

Solve each quadratic equation. Show your work. 14. (2x – 1)(x + 7) = 0 15. x2 + 3x = 10 16. 4x2 = 100

andreyandreev [35.5K]

14. (2x - 1)(x + 7) = 0

Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0. We can set each term equal to 0 to find the solutions:

2x - 1 = 0
2x = 1
x = 1/2

x + 7 = 0
x = -7

15. $x^{2} +3x=10$

To solve this equation, you first need to set it equal to 0:

$x^{2} +3x=10 \\ x^{2} +3x-10 = 0$

Next, it can be factored:

$x^{2} +3x-10 = 0 \\ (x+5)(x-2)=0$

Finally, we can solve just like we did above:

x + 5 = 0
x = -5

x - 2 = 0
x = 2

16. $4x^2=100$

First, you can simplify by dividing each side by 4:

$4x^2=100 \\ x^2=25$

Now, set the equation equal to 0:

$x^2=25 \\ x^2-25=0$

Next, factor:

$x^2-25=0 \\ (x+5)(x-5)=0$

Finally, find the solutions:

x + 5 = 0
x = -5

x - 5 = 0
x = 5

6 0

4 years ago

What is the equation for this math problem? Steven spent $90 on clothes. He bought a pair of jeans that cost $34 and spent the r

dexar [7]

Answer:

The equation for the given maths problem is $ 34 + $ 8x = $ 90

Step-by-step explanation:

According to question :

The Total amount spent on cloths = $ 90

The cost of a pair of jeans = $ 34

The cost of each t-shirt pair = $ 8

The amount spent on t-shirt = $ 90 - $ 34 = $ 56

Let the number of t-shirt pair = x

So, $ 34 + $ 8x = $ 90

Or, $ 8x = $ 90 - $ 34

∴ x = $\frac{ 90 - 34}{8}$

Hence The equation for the given maths problem is $ 34 + $ 8x = $ 90 Answer

8 0

3 years ago