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JulijaS [17]
3 years ago
14

Given a regular square pyramid with RS = 6 and PX = 4, find the following measure. XT =

Mathematics
2 answers:
Ann [662]3 years ago
6 0

Answer:

XT=3\sqrt{2}\ units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Applying the Pythagoras Theorem

XT^{2}= XY^{2}+YT^{2}

In this problem we have

XY=RS/2=6/2=3\ units

YT=XY=3\ units

substitute

XT^{2}= 3^{2}+3^{2}

XT^{2}= 18

XT=\sqrt{18}\ units

Simplify

XT=3\sqrt{2}\ units

Lynna [10]3 years ago
5 0
I think its 3 sqrt of 2
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Akira buys 10 tickets to a show. She also pays a $5 parking fee. If she spent $35 in total, how much did each ticket cost? Use x
Arte-miy333 [17]

Answer: Each ticket cost 3 dollars

Step-by-step explanation: First take 35 and subtract 5 which equals 30

then divide 30 by 10 and you get 3

7 0
3 years ago
(1-w-w²)⁶=64 prove thta​
VLD [36.1K]

1−w−w2=64

Step 1: Simplify both sides of the equation.

−w2−w+1=64

Step 2: Subtract 64 from both sides.

−w2−w+1−64=64−64

−w2−w−63=0

For this equation: a=-1, b=-1, c=-63

−1w2+−1w+−63=0

Step 3: Use quadratic formula with a=-1, b=-1, c=-63.

w= −b±√b2−4ac /2a

w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)

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7 0
2 years ago
Find the shaded region of the figure below​
lilavasa [31]

Answer:

-x³ + 3x² - 14x + 12

Step-by-step explanation:

Area of outer rectangle = (x² + 3x - 4) * (2x - 3)

      = (x² + 3x - 4) * 2x  + (x² + 3x - 4) * (-3)

     =x²*2x + 3x *2x - 4*2x  + x² *(-3) + 3x *(-3)  - 4*(-3)

     =2x³ + 6x² - 8x - 3x² - 9x + 12

    = 2x³ + <u>6x² - 3x²</u>   <u>- 8x - 9x</u> + 12     {Combine like terms}

    = 2x³ + 3x² - 17x + 12

Area of inner rectangle = (x² - 1)* 3x

                                       = x² *3x - 1*3x

                                       = 3x³ - 3x

Area of shaded region = area of outer rectangle - area of inner rectangle

         = 2x³ + 3x² - 17x + 12 - (3x³ - 3x)

         = 2x³ + 3x² - 17x + 12 -3x³ + 3x

        = 2x³ - 3x³ + 3x² - 17x + 3x + 12

        = -x³ + 3x² - 14x + 12

4 0
3 years ago
Can somebody tell me the answer for these two questions or just the top one please
stepladder [879]

Answer:

V = 268.08 in^3

Step-by-step explanation:

that answer was for the first question. I do not know the second one I'm very sorry

6 0
3 years ago
In her first 20 games, Jennie served 4 aces. If she continues to serve aces at this rate, how many aces will she have after 160
Talja [164]

Answer:

32 aces

Step-by-step explanation:

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5 0
3 years ago
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