All categories

2 years ago

The diagram shows a right triangle with legs that measure 4 and 7.

Mathematics

1 answer:

anyanavicka [17]2 years ago

3 0

Calculate the hypotenuse( h ) using Pythagoras' identity

h =√(4² + 7²) = √(16 + 49) = √65

sinΘ = 4 / √65 ⇒ cscθ = √65 / 4

cosθ = 7/ √65 ⇒ secθ = √65 / 7

tanθ = $\frac{4}{7}$ ⇒ cotθ = $\frac{7}{4}$

You might be interested in

Diff. / Original amount= % of increase or decrease

V125BC [204]

Answer:

% increase = $\frac{\text{ Increased number -Original number }}{\text{Original number}} \times 100\%$

% decrease = $\frac{\text{ Original number - Decreased number }}{\text{Original number}} \times 100\%$

Step-by-step explanation:

Percentage Increase:

Let there be an original number. If it increased to a certain value we can calculate the percentage increase value with the help of following formula:

% increase = $\frac{\text{ Increased number -Original number }}{\text{Original number}} \times 100\%$

Percentage Decrease:

Let there be an original number. If it decreases to a certain value we can calculate the percentage decrease with the help of following formula:

% decrease = $\frac{\text{ Original number - Decreased number }}{\text{Original number}} \times 100\%$

6 0

2 years ago

Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms o

schepotkina [342]

C) six times log base two of x times seven times log base two of y minus log base two of eight.

5 0

3 years ago

20 POINTS AND BRAINLIEST

emmainna [20.7K]

To solve this equation we must first plug in 5 for x.

$\frac{1}{3}$ <span> (5 - 4x)
</span>↓
$\frac{1}{3}$ (5 - 4 · 5)

The next step would be to multiply 4 by 5 to get rid of the parenthesis within our main parenthesis.

$\frac{1}{3}$ (5 - 4 · 5)

$\frac{1}{3}$ (5 - 20)

The next step would be to subtract both of the numbers within the parenthesis.

$\frac{1}{3}$ (-15)

Now we must multiply.

- $\frac{1}{3}$ · 15 = - $\frac{1×15}{3}$

- $\frac{15}{3}$

Now we simplify our answer to get our final answer.

-5

8 0

2 years ago

1. Calculate the simple interest over an amount of N$ 2500 that is invested for 3 years and 6 months at a rate of 7% pa.

Umnica [9.8K]

Answer:

N$ 612.5

Step by step explaination:

Given,

Principal or'P'=N$2500

Time or'n'=3 years & 6 months or 3.5 years

Rate of profit or 'r'=7% or 7/100

Profit or 'I'=?

_____________________________________

We know,

I=P*n*r

I=2500*3.5*7/100

I=612.5

So,simple interest is N$ 612.5.

3 0

3 years ago

For the equation : y = 2x + 10. Write any two possible solutions in ordered form. (Hint: e.G ( 4, 18))

nalin [4]

Answer:

(0, 10)

and

(1, 12)

5 0

2 years ago

Read 2 more answers