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NeX [460]
3 years ago
13

This beach toy is a square pyramid. It has a height of 4 inches and the base has side lengths of 4 inches. What is the volume?

Mathematics
1 answer:
Fynjy0 [20]3 years ago
3 0

Check the picture below.

\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=&area~of\\ &its~base\\ h=&height\\ \cline{1-2} B=&\stackrel{4\times 4}{16}\\ h=&4 \end{cases}\implies V=\cfrac{1}{3}(16)(4)\implies V=\cfrac{64}{3}\implies V=21.\overline{3}

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#2.

Step-by-step explanation:

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3 years ago
What is the reflection in the x-axis & what’s the reflection in line y=x?
marishachu [46]

Answer:

  a) (3, -4), (2, 4), (-5, -6)

  b) (4, 3), (-4, 2), (6, -5)

Step-by-step explanation:

a) Reflection in the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y)

  (3, 4) ⇒ (3, -4)

  (2, -4) ⇒ (2, 4)

  (-5, 6) ⇒ (-5, -6)

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b) Reflection in the line y=x swaps the x- and y-coordinates:

  (x, y) ⇒ (y, x)

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8 0
4 years ago
Help please due soon
ANEK [815]

Answer: c=24

Step-by-step explanation: 15×3=45. 8×3=24. Just multiply both the numerator and denominator by 3.

5 0
3 years ago
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Evaluate a - b + c, if a = -7, b = 3, c = -2.
galben [10]

Answer:

-12

Step-by-step explanation:

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6 0
3 years ago
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Please HELP! I DON'T KNOW HOW CAN I SOLVE THIS ​
Wewaii [24]

Answer:

<h2>41. x = √2</h2><h2>42. x = √5</h2><h2>43. x = 4</h2><h2>44. x = 4√3</h2>

Step-by-step explanation:

The Pythagorean Theorem:

leg^2+leg^2=hypotenuse^2\to a^2+b^2=c^2

41.\\\\a=1,\ b=1,\ c=x\\\\x^2=1^2+1^2\\\\x^2=1+1\\\\x^2=2\to x=\sqrt2

42.\\a=1, b=2,\ c=x\\\\x^2=1^2+2^2\\\\x^2=1+4\\\\x^2=5\to x=\sqrt5

43.\\a=3,\ b=x,\ c=5\\\\3^2+x^2=5^2\\\\9+x^2=25\qquad\text{subtract 9 from both sides}\\\\x^2=16\to x=\sqrt{16}\to x=4

44.\\\\a=4,\ b=x,\ c=8\\\\4^2+x^2=8^2\\\\16+x^2=64\qquad\text{subtract 16 from both sides}\\\\x^2=48\to x=\sqrt{48}\\\\x=\sqrt{16\cdot3}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt{16}\cdot\sqrt3\\\\x=4\sqrt3

7 0
3 years ago
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