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3 years ago

6

Mathematics

2 answers:

zloy xaker [14]3 years ago

7 0

Solution:

Note that:

Area of circle: πr²
Circle/2 = Semicircle
Area of semicircle = πr²/2
Radius = 6 units

Finding the area of the semicircle:

πr²/2
=> 3.14 x 6 x 6/2
=> 3.14 x 6 x 3
=> 56.52 units²

We can conclude that the area of the semicircle is 56.52 units².

SVETLANKA909090 [29]3 years ago

6 0

Answer:

56.52 units²

explanation:

We should know circle's area: πr²
Then the semi circle shall have half area, so formula: (1/2)πr²

Steps:

Using the formula:

→ (1/2)πr²

→ (1/2)(3.14)(6)²

→ 56.52 units²

You might be interested in

The sale price of every item in a store is 85% of its usual price.

IgorC [24]

Answer:

$25.5

Step-by-step explanation:

To find 85% of $30, we can simply multiply the usual price, $30, by the decimal form of the percentage.

The decimal form of 85% is .85.

Now, multiply.

30*.85=25.5

The sale price of the backpack is $25.5.

Hope this helps!

3 0

3 years ago

Maximize the objective function P = 2x + 1.5y for the feasible region shown. State the maximum value for P and the ordered pair

umka2103 [35]

Incomplete question. However, let's assume this are feasible regions to consider:

Points:

- (0, 100)

- (0, 125)

- (0, 325)

- (1, 200)

Answer:

Maximum value occurs at 325 at the point (0, 325)

Step-by-step explanation:

Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.

- For point (0, 100): P= 2(0) + 1.5 (100) =150

- For point (0, 125): P= 2(0) + 1.5 (125) =187.5

For point (0, 325): P= 2(0) + 1.5 (325) = 487.5

For point (1, 200): P= 2(1) + 1.5 (200) = 302

Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.

7 0

3 years ago

What’s the answer to 14?

vfiekz [6]

Answer:

|t -(-5)| = 1.5
[-6.5, -3.5] = [minimum, maximum]

Step-by-step explanation:

The magnitude of the difference between the temperature (t) and -5 will be 1.5 at the limits:

|t -(-5)| = 1.5

This is equivalent to two equations:

t +5 = -1.5
t +5 = 1.5

In each case, the equation is solved by subtracting 5 from both sides:

t = -6.5 . . . . minimum allowed temperature
t = -3.5 . . . . maximum allowed temperature

7 0

3 years ago

A train is going at 200/KM per hour

olya-2409 [2.1K]

Answer:

It moved for 152.7 seconds

Step-by-step explanation:

Time taken/ period, T :

${ \sf{T = \frac{distance}{speed} }}$

substitute the variables:

${ \sf{T = \frac{8482}{(200 \times 1000)} }} \\ \\ { \sf{T =0.042 \: hours }}$

In seconds:

${ \sf{T = (0.042 \times 3600) \: s}} \\ { \sf{T = 152.7 \: seconds}}$

6 0

3 years ago

Read 2 more answers

I cant believe how bad my brother, Reuben, is at growing things. He bought a whole bunch of plants at the nursery the other day.

jeka94

Answer:

68 plants.

Step-by-step explanation:

Let x represent the number of plants that Reuben bought from the nursery.

We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be $x-5$ .

We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be $\frac{2}{9}(x-5)$ .

Further a rabbit came and ate ½ of what was left. So number of plants left would be $\frac{\frac{2}{9}(x-5)}{2}=\frac{2}{9\times 2}(x-5)=\frac{1}{9}(x-5)$ .