Hello! 3.5m is equivalent to 350cm, which is also equivalent to 3,500mm. 100cm = 1 meter and 10mm = 1cm. 350/100 is 3.5. 3,500/10 is 350. 3,500 km does not belong, because that measurement would be way too big. The answer is 3,500km

4 0

3 years ago

12. Use a trigonometric ratio to find the measure of O in the triangle below. Give your answer to the nearest degree.

larisa [96]

Given :-

A right angled triangle with two sides 10cm and 9cm .

To Find :-

The value of theta .

Solution :-

At angle theta , 9cm side will be considered as the perpendicular and 10cm side will be hypotenuse . So , as we know that ;

$\longrightarrow sin\theta =\dfrac{perpendicular}{hypotenuse}$

Substituting the respective values,

$\longrightarrow sin\theta =\dfrac{9cm}{10cm}$

Simplify,

$\longrightarrow sin\theta= 0.9$

Take arcsin both sides ,

$\longrightarrow \theta =sin^{-1}(0.9)$

$\\\longrightarrow\underline{\underline{\theta = 64.15^o }}$

Hence the required answer is 64.15° . 

6 0

3 years ago

Checking account A charged a monthly fee of $5 and a per-check fee of $0.25, and checking account B charged a monthly fee of $6

Genrish500 [490]

First we need to know both the formula of A and B.

The formula of A is
C = 5 + 0.25p
with C representing total cost and p representing the amount of checks.

The formula of B is
C = 6 + 0.15p
with C representing total cost and p representing the amount of checks.

To find the point where A and B cost the same, we solve the following equation:
5 + 0.25p = 6 + 0.15p

Collecting terms gives us
-1 = -0.1p

Now we have to divide by -0.1 and we get.
10 = p
p = 10

So our answer: after 10 checks both accounts cost the same amount of money. Answer A.

7 0

3 years ago