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Bumek [7]
2 years ago
7

A gate is made up of a rectangle and a semicircle, as shown. Find the area of the gate. Use 3.14 for .Round your answer to the n

earest tenth
Mathematics
1 answer:
allochka39001 [22]2 years ago
7 0

Answer:

<em>797.0ft²</em>

Step-by-step explanation:

<u>Find a related diagram attached</u>

Area of the gate = Area of the semicircle + Area of the Rectangle

Area of the semicircle = πr²/2

r is the radius

From the diagram, radius r = 20/2 = 10ft

Area of the semicircle = 3.14(10)²/2

Area of the semicircle = 3.14(100)/2

Area of the semicircle = 314/2

Area of the semicircle = 157ft²

Area of the rectangle = Length * Width

Area of the rectangle = 20*32

Area of the rectangle = 640ft²

Area of the gate = 157 + 640

Area of the gate = 797ft²

<em>Hence the area of the gate is 797.0ft²</em>

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Help please I need it as soon as possible ​
MAVERICK [17]

Answer:

y=1/2+3

Step-by-step explanation:

For the first one, 0 and 3. 0/2 is not possible so we just add 3.

Second, 1/2 is 0.5 of 1/2. Plus 3 is 3 1/2.

Third, 2/2 = 1 + 3 = 4.

And last, 3/2 = 1.5 or 1 1/2. 1 1/2 + 3 is 4 1/2

--

Hope this helps!

3 0
2 years ago
PLS HELP ASAP!!!!
vovikov84 [41]
29 is the value of x
5 0
3 years ago
The latest online craze is a new game, Khan on Seven. You get 100100100 points for playing the game. In addition, you get 505050
goblinko [34]

Answer:

50w+100 \ge 18000

Step-by-step explanation:

Each seven-letter word is worth 50 points. w words are then worth w\times50=50w.

Since Sal gets 100 points for playing the game, his points total after w words is 50w +100. If he wants to break the record, he must get, at least, 18000 points. "At least" in inequality means \ge (just as "at most" means \le). Then the required inequality is

50w+100 \ge 18000.

Note that the question says "18000 or more", which is why we used the \ge symbol. If the phrase had been "more than 18000", we would have used >.

3 0
2 years ago
Read 2 more answers
Daniel and his children went into a bakery and where they sell cupcakes for $3.75 each and donuts for $1 each. Daniel has $20 to
grigory [225]

The system of inequalities are x + y ≥ 7 and 3.75x + 1y ≤ 20 The one possible solution is 4 cupcakes and 3 donuts.

<u>Solution:</u>

Given, Daniel and his children went into a bakery and where they sell cupcakes for $3.75 each and donuts for $1 each.  

Daniel has $20 to spend and must buy a minimum of 7 cupcakes and donuts altogether.  

⇒ "x" represents the number of cupcakes purchased

⇒ "y" represents the number of donuts purchased,  

we have to write and solve a system of inequalities graphically and determine one possible solution.

Now, he should buy minimum 7 items, then x + y ≥ 7 ⇒ (1)

And, he has $20, so his maximum purchase is $20 then, 3.75x + 1y ≤ 20 ⇒ (2)

Now, suppose that he took 5 cupcakes, then he must take at least 2 donuts to satisfy (1)

So, substitute x and y values in (2)

⇒ 3.75(5) + 1(2) ≤ 20

⇒ 20.75 ≤ 20 ⇒ condition failed

So he can take maximum of 4 cupcakes only, and subsequently he has to take minimum of 3 donuts.

Hence, the one possible solution is 4 cupcakes and 3 donuts

7 0
2 years ago
Find the distance between the two points.<br> (-6, -7) and (154, - 43)
Vitek1552 [10]

Answer:

(160, 36)

Step-by-step explanation:

Distance is always positive because, well, you aren't -50 meters away from your house or something. You are just 50 meters away from your house. And 160 is the distance between -6 and 154, because there is one minus and one plus, you add them, because that is how far they are apart, and then-43 and -7 were easy just subtract them.

8 0
2 years ago
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