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2 years ago

What word goes in the blanks? 55 points!

Mathematics

2 answers:

mel-nik [20]2 years ago

8 0

Answer:

16 square inches

16 inches

Step-by-step explanation:

We know the area formula is A = s² and the perimeter formula is P = 4s, where s is the side length.

Here, s = 4, so plug this value into both equations:

A = s²

A = 4² = 16 square inches

P = 4s

P = 4 * 4 = 16 inches

Both blanks are 16.

Natalija [7]2 years ago

8 0

Answer:

A: 16 sq in. / P: 16 in.

Step-by-step explanation:

As you already know, the area of a square is found by squaring the length of one side. Here, the length of one side is 4, and 4^2 is 16. The perimeter of a square is found by multiplying 4 to the length of a side. 4*4 = 16.

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Angle Q = 85° Determine angle O.

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Answer:

∠O = 95°

Step-by-step explanation:

since ∠Q = 85°, arc NOP = 2(85°) = 170°

arc PQN = 360° - arc NOP

arc PQN = 360° - 170° = 190°

∠O = 1/2(arc PQN) = 1/2(190°) = 95°

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A water tank contains 100 fluid Ounces of water. Jacob fills up cups that hold 8 fl. oz. each. How many cups has he filled when

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2 years ago

1 4/5 lbs into ounces

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2 years ago

Read 2 more answers

The sum of the diagonals of a rhombus is 5√2.

Alex

Greetings!
Let ABCD be a rhombus
AC + BD = 5√2 cm

Area of ABCD = Ar△ABD + Ar △BCD
$= \frac{1}{2} \times BD \times AO + \frac{1}{2} \times BD \times OC$
$= \frac{1}{2} BD (AO + OC)$
$\frac{1}{2} BD \times AC$

$So, \frac{ BD \times AC}{2} = 4 \: cm {}^{2}$
$BD \times AC = 8$
$Now, AC + \: BD = 5 \sqrt{2}$

Squaring both sides, we get
$AC {}^{2} + BD {}^{2} + 2 AC.BD =50$
$AC {}^{2} + BD {}^{2} + 2 \times 8 = 50$
$AC {}^{2} + BD {}^{2} = 50 - 16$
$AC {}^{2} + BD {}^{2} = 34$

In △AOB, we have
$OA {}^{2} + OB {}^{2} =AB {}^{2}$
$( \frac{ AC }{2} ) {}^{2} + ( \frac{ BD}{2} ) {}^{2} = AB {}^{2}$
$\frac{ AC {}^{2} } {4} + \frac{ BD {}^{2} }{4} = AB {}^{2}$
$AC {}^{2} + BD {}^{2} = 4 AB {}^{2}$
$34 = 4 AB {}^{2}$

Square rooting both sides
$\sqrt{34} = 2 AB$
$Perimeter = 4 \: AB \\ = 2 \times 2 \: AB \\ = 2 \: \times \sqrt{34 } \\ = 2 \sqrt{34 \: } units$ .

Hope it helps!

7 0

3 years ago