All categories

3 years ago

Find the length of side AC.

Mathematics

2 answers:

Nat2105 [25]3 years ago

7 0

Answer:

Step-by-step explanation:

because its a right angled triangle which should be 90 degrees so 90-45=45 so AC is 45 and AB is 45 so the triangle ACB is 90

bija089 [108]3 years ago

7 0

<h2>Answer:</h2>

<u>The length of side AC is</u><u> 4.25</u>

<h2>Step-by-step explanation:</h2>

By using trigonometric formula

Sin θ = Perpendicular / Hypotenuse

But we dont have the angle A so lets find that first

We know that the sum of all interior angles of triangle is 180 so 45+A+90 = 180

Or A+135= 180 => A= 45

Now

Sin θ = Perpendicular / Hypotenuse

Sin 45 = perpendicular / 5

0.85 = Perpendicular / 5

Perpendicular = 5 * 0.85

Perpendicular = 4.25 which is AC

You might be interested in

4/15=×/75 solve each proportion

bagirrra123 [75]

4/15=x/75
4*75=15*x
300=15x
x=300/15
x=20

8 0

3 years ago

Suppose John opens a savings account with $1,000 that compounds interest daily. The APR at the time John deposits the account is

Fed [463]

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
\left. \qquad \qquad \right.\left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3.5\%\to \frac{3.5}{100}\to &0.035\\
n=
\begin{array}{llll}
\textit{times it compounds per year}
\end{array}\to &365
\end{cases}
\\\\\\
\left(1+\frac{0.035}{365}\right)^{365}-1$

4 0

3 years ago

corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. which quantity depends on the other?

lana66690 [7]

<u>Complete Question:</u>

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. Which quantity depends on the other?

A. The distance traveled depends on the number of hours traveled.

B. The number of hours traveled depends on the speed of the train.

C. The speed of the train depends on the distance traveled.

D. The speed of the train depends on the number of hours traveled.

<u>Answer:</u>

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. The distance traveled depends on the number of hours traveled

<u>Step-by-step explanation:</u>

As we know the velocity can de defined as the rate of change of position of objects in a particular time. The formula is given by,

$\text {velocity}=\frac{\text {distance}}{\text {time}}$

Here, in the question, rate of speed of train is given as 45 miles per hour. if we keep the velocity as constant one, then distance is directly proportionate to the travelled time

$\text {distance}=\text {velocity} \times \text {time}$

If 'v' is constant,

$\text {distance} \propto \text {time}$

By this we can conclude that, the distance travelled by the train depends on the time taken to travel to it. Hence option A would be the correct one.

3 0

2 years ago

This section of a page from a telephone directory shows a column of 11 names in 1 inch. Each page has four 10-inch columns. Writ

GREYUIT [131]

number of names(p) = 4 columns * 10 inches per column * 11 names per inch * page

number of names(p) = 4*10*11*p = 440*p

The algebraic expression for the number of names in p pages is 440*p

4 0

2 years ago

Find an equation of the circle that has center (-2, 6) and passes through (-6, 1).

Darya [45]

Answer:

Step-by-step explanation:

The equation for a circle is (x-h)^2+(y-k)^2=r^2

So first, it is known that the circle's center is at (-2,6), Therefore, this can be filled in:

(x+2)^2+(y-6)^2=r^2

Next, we need to find the radius, and one of the points is already known, being (-6, 1)

With this, find the distance between these two points by doing the Pythagorean Theorem, a^2+b^2=c^2. The a^2 would be the x value changed and the b^2 would be the y value changed between the two numbers. Note that this is interchangeable.

To find a:

-2 to -6 = change of 4

To find b:

6 to 1 = change of 5

Next, write out the equation for this:

4^2+5^2=c^2

16+25=c^2

41=c^2

c = √41

The radius would be √41, so the equation can now be completed. Since c will be brought to the second power, this will cancel out the square root.

(x+2)^2 + (y-6)^2 = 41

Hope that helps.

8 0

2 years ago