All categories

3 years ago

Please answer this for me

Mathematics

1 answer:

Bumek [7]3 years ago

7 0

Answer:

422.39 sq cm

Step-by-step explanation:

Find the area of the circle and subtract the area of the rectangle from it.

Circle area: pi*12^2, 144pi sq cm

REctangle area: 10*3=30sq cm

144pi-30≈422.39

You might be interested in

Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$

Now, let us add (1) and (2):

$(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta$

Using the equation:

$(-sin\theta)x+(cos\theta)y=0$

Putting value of $y$ :

$\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta$

So, the answer to the system of linear equations is:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

7 0

3 years ago

Aria paid $75,000 for her house. Its property value increased by 2.2% per year. When Aria sold her house after eleven years, how

astra-53 [7]

Answer:

When Aria sold her house after eleven years it worth was $95,300.

Step-by-step explanation:

Given:

Aria paid $75,000 for her house. Its property value increased by 2.2% per year.

Now, to find the worth of Aria house when sold after eleven years.

Let the amount of house after eleven years be $x.$

Amount Aria paid for her house (A) = $75,000.

Rate of property increased per year (r) = 2.2%.

Time (t) = 11 years.

Now, to get the amount of house after eleven years we put formula:

$x=A\times (1+\frac{r}{100})^{11}$

$x=75000\times (1+\frac{2.2}{100})^{11}$

$x=75000\times (1+0.022)^{11}$

$x=75000\times (1.022)^{11}$

$x=75000\times 1.2704$

$x=95280.$

The amount of house after eleven years to the nearest hundred dollars is $95,300.

Therefore, when Aria sold her house after eleven years it worth was $95,300.

3 0

3 years ago

Find the distance between -6 and 8. What is an expression that represents the distance?

snow_lady [41]

The answer is -6+x=8. x is the unknown number. To find the distance, try to use a number line. And the answer to the expression is 14. To get from -6 to 0, you add 6. Then from 0 to 8, you add 8. 8+6=14

6 0

3 years ago

Help meee plzz i need help

OlgaM077 [116]

Answers:

a) 15.6
b) 12
c) 36
d) 51.6

============================================

Explanations:

Part (a)

The area of a triangle formula is A = 0.5*b*h where b and h are the base and height. You could use 1/2 in place of the 0.5

We're focused on the blue shaded triangle, which is the "floor" so to speak of this pyramid. To find the floor area, we will use b = 6 and h = 5.2 and we get

A = 0.5*b*h = 0.5*6*5.2 = 15.6

For this problem, all areas are in square inches as denoted by the $\text{in}^2$

If you're curious where the b = 6 came from, it's because all sides of the equilateral triangle are the same length.

Note: The base and height of a triangle are always perpendicular.

----------------------

Part (b)

Focus on any single non-shaded triangle. Let's say we focus on the upper triangle. We have b = 6 and h = 4. It then leads to the area A = 12 sq in. This is the area of one lateral face.

------------------------

Part (c)

The instructions state that the lateral faces are congruent triangles, aka they are identical triangles. So that means we have three copies of the same area we found back in part (b), which was 12. Therefore, the lateral surface area is 3*12 = 36 square inches. As your teacher mentions, we do not include the shaded triangle as part of this result (that will happen in part d below).

------------------------

Part (d)

We add the results of parts (a) and (c) together to get the full surface area. This is the total area of the flat net, and it corresponds directly to the full surface area because we fold up the 2D figure to get the 3D one.

The total surface area is 15.6+36 = 51.6 in^2

--------------------------

Side note: Another name for "triangular pyramid" is "tetrahedron". The "tetra" means "four", and "hedron" means "face".

5 0

3 years ago

Read 2 more answers

URGENT EASY MATH PLEASE

Trava [24]

Answer:

Step-by-step explanation:

Let's solve your inequality step-by-step.

8x−7≤−6−(1−8x)

Step 1: Simplify both sides of the inequality.

8x−7≤8x−7

Step 2: Subtract 8x from both sides.

8x−7−8x≤8x−7−8x

−7≤−7

Step 3: Add 7 to both sides.

−7+7≤−7+7

0≤0

Answer:

All real numbers are solutions.

7 0

3 years ago