All categories

3 years ago

Instructions: Find the value of the trigonometric ratio. Make sure to

Mathematics

1 answer:

djverab [1.8K]3 years ago

6 0

Answer:

tan Z = 4/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta= opp / adj

tan Z = 32/24

Divide top and bottom by 8

tan Z = 4/3

You might be interested in

Question 3

BigorU [14]

Answer:

30 mph

Step-by-step explanation:

time = distance/speed

If x represents Jane's speed along the summit then her total exploration time is ...

12/x + 40/(x -5) = 2 . . . . . hours

Multiplying by (x)(x -5), we get ...

12(x -5) +40(x) = 2(x)(x -5)

Dividing by 2 and subtracting the left side gives ...

x^2 -31x +30 = 0

(x -30)(x -1) = 0 . . . . . factor

Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...

Jane's speed along the summit was 30 mph.

3 0

3 years ago

Read 2 more answers

Complete the statement of each of these rules:

never [62]

Answer:

a) (+) × (?) = (+)

(?) = (+)

b) (-) × (+) = ?

? = (-)

c) (?) × (-) = ?

? is undefined

Step-by-step explanation:

a) (+) × (?) = (+)

From the given equation in the question, by dividing both side of the equation by (+), we have;

((+) × (?))/(+) = (+)/(+)

(?) = (+)/(+) = (+)

Therefore, we have;

(+) × (+) = (+)

(?) = (+)

b) (-) × (+) = ?

From the given equation in the question we apply the operation rules as follows;

(-) × (-) = (+)

(-) × (+) = (-)

Therefore;

(-) × (+) = ? = (-)

? = (-)

c) (?) × (-) = ?

From the rules of multiplication, we have;

(-) × (-) = (+)

(+) × (-) = (-)

Therefore, when (?) = (-), ? = +, from which we have;

(?) ≠ ?, which is an error

Similarly, when (?) = (+), ? = -, therefore, (?) and ?, always changes sign

Therefore, the equation, (?) × (-) = ?, is undefined.

3 0

3 years ago

What is the value of the expression z-4/-8 when z = –28?

Alexeev081 [22]

Hello,

(-28-4)/(-8)=-32/(-8)4

6 0

4 years ago

(1 point)

marusya05 [52]

Answer:

The correct answer is: {2,4,6,8}

Step-by-step explanation:

Given sets are:

P = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and V= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20)

We have to find

P∩V

The symbol is used for intersection of two sets. In intersection, only common elements of both sets are written in result.

So,

P∩V = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9) ∩ {2, 4, 6, 8, 10, 12, 14, 16, 18, 20)

P∩V = {2,4,6,8}

Hence,

The correct answer is: {2,4,6,8}

7 0

3 years ago

Cassie has test grades of 62, 85 and 89 on the first three tests in herpre-algebra class. What are the possible scores she can m

Vsevolod [243]

Explanation:

The test grade for 1st three tests = 62, 85, 89

Let the fourth test score = x

The result we hoping to get is grade B.

Let's find the average of the four test score

$\text{Average = }\frac{Su\text{ m of all test score}}{nu\text{mber of test score}}$ $\begin{gathered} s\text{ um of test scores = 62 + 85 + 89 + x} \\ nu\text{mber of test score = 4} \\ \frac{\text{62 + 85 + 89 + x}}{4}=\text{ Average} \end{gathered}$ $\begin{gathered} A\text{ grade B represents atleast 80} \\ \text{Atleast represents }\ge \\ \frac{\text{62 + 85 + 89 + x}}{4}\text{ }\ge\text{ 80} \\ \frac{\text{236 + x}}{4}\text{ }\ge\text{ 80} \end{gathered}$ $\begin{gathered} \text{236 + x }\ge\text{ }80(4) \\ \text{236 + x }\ge\text{ }320 \\ \text{subtract }236\text{ from both sides:} \\ 236\text{ - 236 + x }\ge\text{ }320\text{ - 23}6 \\ x\text{ }\ge\text{ 84} \end{gathered}$

This means Cassie needs to score 84 or more to get a grade of B

In ineq

3 0

1 year ago