All categories

3 years ago

Please help with this math question

Mathematics

1 answer:

nika2105 [10]3 years ago

3 0

263.27 m^2

rectangle : 15 x 10 = 150 m^2
the half circle at the top has a diameter of 6m. therefore, it’s radius is 3m. if it is cut in half, the part removed from the triangle height is 3m. therefore, the height of the triangle is 35 -15 = 20; 20 - 3 = 17. the height of the triangle is 17. the triangle area formula is a = 1/2(bh).
a = 1/2 (10)(17)
a = 1/2 (170)
a = 85 m^2
the circle would be a = πr^2 but divided by 2 bc it’s a half circle
a = π(3)^2
a = π9
a = 28.27 m^2
150 + 85 + 28.27 = 263.27 m^2

You might be interested in

If f(x) = 2x - 9, which of the following are correct?

matrenka [14]

F(-1) = -11
f(0) = -9
f(3) = -3

3 0

3 years ago

The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?

Fofino [41]

Answer:

The shorter leg is $2\sqrt{3}$ inches

Explanation:

The 30°-60°-90° is a special type of right-angled triangles

It has the following special side length:

The length of the side opposite to the 30° is $\frac{1}{2}$ the length of the hypotenuse

The length of the side opposite to the 60° is $\frac{\sqrt{3} }{2}$ of the hypotenuse

Now, we know that the lengths of the sides in a triangle are proportional to the angles

This means that the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is $4\sqrt{3}$ in

From the above:

Shorter leg = leg opposite to 30° = $\frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2}$ inches

Hope this helps :)

5 0

2 years ago

Manny bought a brand new car for $29,750. The car depreciates in value by 12% each year. Find the value of the car after 6 years

Arte-miy333 [17]

Answer: $13,846.02

Step-by-step explanation:

The car cost $29,750 when it was first bought.

It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.

To find the value of the car in the 6th year, you can use the compound interest formula:

= Value of car * ( 1 - rate) ^ no. of years

= 29,750 * ( 1 - 12%)⁶

= ‭13,816.021581824‬

= $13,846.02

6 0

2 years ago

What is the area of a square if s=7 inches?

Alex73 [517]

The answer is 28 sq. Units

8 0

3 years ago

Determining Exponential Growth and Decay in Exercise, use the given information to write an exponential equation for y. Does the

scZoUnD [109]

Answer:

$y=20e^{-\frac{2}{3}t}$

Exponential decay

Step-by-step explanation:

We are given that

$\frac{dy}{dt}=-\frac{2}{3}y$

y=20 when t=0

$\frac{dy}{y}=-\frac{2}{3}dt$

Taking integration on both sides then we get

$lny=-\frac{2}{3}t+C$

Using formula $\int \frac{dx}{x}=lnx,\int dx=x$

$y=e^{-\frac{2}{3}t+C}$

Using formula

$lnx=y\implies x=e^y$

$y=e^C\cdot e^{-\frac{2}{3}t}$

$e^C=Constant=C$

$y=Ce^{-\frac{2}{3}t}$

Substitute y=20 and t=0

$20=C$

Substitute the value of C

$y=20e^{-\frac{2}{3}t}$

When t tends to infinity then

$\lim_{t\rightarrow\infty}=\lim_{t\rightarrow\infty}20e^{-\frac{2}{3}t}=0$

When time increases then the value of function decrease

Hence, the function is exponential decay.

8 0

2 years ago