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Dimas [21]
3 years ago
8

Please help! It’s due soon!

Mathematics
1 answer:
o-na [289]3 years ago
3 0

vertex (1,-1) axis of symmetry is x=1, domain all real numbers (i think neg ys) range y is less equal than -1, y increases as x less 0 bug IMO x decreases

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The diagram shows 3 identical circles inside a rectangle.
Ilya [14]

Answer:

11700 mm²

Step-by-step explanation:

A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.

The horizontal distance of the rectangle = r + r + r + r = 4r

The vertical distance = r + h + r = 2r + h

Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.

Using Pythagoras:

 (2r)² = h² + r²

h² + r² = 4r²

h² = 3r²

h = √3r²

h = r√3

Vertical distance = 2r + h = 2r + r√3

Area of rectangle = vertical distance * horizontal distance

Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)

Substituting:

Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²

Area = 11700 mm² to 3 s.f

5 0
3 years ago
A coin will be tossed three times, and each toss will be recorded as heads (H) or tails (7). Give the sample space describing al
Fynjy0 [20]

Answer:

A). {HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}

(B). {HHH, HHT, THH, THT}

Step-by-step explanation:

Given:

A coin is to be tossed three times and each tossed will be recorded as Head(H) and Tails(T).

To Find:

(a). Sample Space

(b). Event that the second toss is Heads

Explanation:

(A). Sample Space: When a coin is tossed 3 times

{HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}

(B). Event that second toss is Head

{HHH, HHT, THH, THT}

6 0
3 years ago
PLEASE HELP AND ACTUALLY HELP!
aalyn [17]

Answer:

c = 5 cm

Step-by-step explanation:

Use Pythagorean Theorem

3^2 + 4^2 = x^2

9 + 16 = x^2

25 = x^2

x = 5

7 0
2 years ago
Read 2 more answers
What is 2 to the power of -2? My teacher said it does not equal -4… does it equal positive 4??
mihalych1998 [28]

Answer:

1/4

Step-by-step explanation:

2 to the power of -2 would be 1/4.

This is because 2 to the power of -1 would be 1/2. And the power of 2 would square the 2 as the denominator making it 1/4.

The reason -1 makes the 2 turn into a fraction is that to the power of 2 means 2x2, to the power of one means 2, The power of zero would therefore divide by 2 so 2/2 = 1 and so 2 to the power of -1 would be 1/2.

3 0
2 years ago
Read 2 more answers
Ax-bx+y=z the formula that could be used to find x
Illusion [34]

ax-bx+y=z the formula that could be used to find x

Answer:

<h2>x=z−y/a−b</h2>

5 0
3 years ago
Read 2 more answers
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