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3 years ago

Name a fourth point in plane ZWU.

Mathematics

1 answer:

Lesechka [4]3 years ago

7 0

Answer:

Option (A)

Step-by-step explanation:

Option (A).

Plane ZWU is a plane forming the diagonal of the prism.

Points joining Z,W,T,U is the same plane as plane ZWU.

Therefore, point T will be the fourth point on plane ZWU.

Option (A) is the correct option.

Option (B).

Point X doesn't lie on the plane ZWU.

False.

Option (C).

Point Y doesn't lie on the plane ZWU.

False.

Option (D).

Point S doesn't lie on the plane ZWU.

False.

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Solve the equation. Round to the nearest hundredth. Show work.

denis-greek [22]

Answer:

Final answer is approx x=-0.66.

Step-by-step explanation:

Given equation is $5^{-2x-1}=4^{4x+3}$ .

Now we need to solve equation $5^{-2x-1}=4^{4x+3}$ and round to the nearest hundredth.

$5^{-2x-1}=4^{4x+3}$

$\log(5^{-2x-1})=\log(4^{4x+3})$

$(-2x-1)\log(5)=(4x+3)\log(4)$

$-2x \log(5)- \log(5)=4x \log(4)+3 \log(4)$

$-2x \log(5) -4x \log(4)=3 \log(4) +\log(5)$

$x=\frac{\left(3\log(4)+\log(5)\right)}{\left(-2\log(5)-4\log(4)\right)}$

Now use calculator to calculate log values, we get:

$x=-0.65817959094$

Round to the nearest hundredth.

Hence final answer is approx x=-0.66.

8 0

3 years ago

Test scores are normally distributed with a mean of 100 and a standard deviation of 15. an individual's iq score is found to be

Mnenie [13.5K]

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6 0

3 years ago

The perimeter of a rectangular plot is 36 metres. The length is 6 metres more than the width. What is the area of the rectangula

Dmitry_Shevchenko [17]

Answer:

72 m^2

Step-by-step explanation:

Perimeter = 36

Length + width = 18

w + w + 6 = 18

2w + 6 = 18

2w = 12

w = 6

Length + 6 = 18

Length = 12

Area = 6 * 12 = 72 m^2

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3 years ago

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alexdok [17]

Answer:

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Step-by-step explanation:

The dashes on the sides of the triangles represent that the corresponding lengths of the triangles are equal in length. Since it is given that all corresponding lengths of the triangles are equivalent, the triangles are congruent by the SSS (side, side, side) test.

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