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3 years ago

Simplify each expression (mx+2ny+z) and(y^3-zx^3)(-yz)AND4xy^3(x^4y-5x)

Mathematics

1 answer:

Sliva [168]3 years ago

8 0

Answer: mx+2ny+z −zy4−zx3 4xy3x4y−5x

Step-by-step explanation:

there u go

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The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.

Goryan [66]

Given:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

Length of AD:

The length of AD is given by

$cos 60^{\circ}=\frac{FD}{8}$

$4=FD$

Length of AD = 8 cm

Slant height:

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

$sin \ 60^{\circ}=\frac{EF}{8}$

$sin \ 60^{\circ} \times 8=EF$

$\frac{\sqrt{3}}{2} \times 8=EF$

$4\sqrt{3}=EF$

Thus, the slant height EF is 4√3

Surface area of the square pyramid:

The surface area of the square pyramid can be determined using the formula,

$SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)$

Substituting the values, we have;

$SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})$

$SA=64+\frac{1}{2}(32)(4 \sqrt{3})$

$SA=64+(16)(4 \sqrt{3})$

$SA=64+64 \sqrt{3}$

The exact form of the area of the square pyramid is $64+64 \sqrt{3}$

Substituting √3 = 1.732 in the above expression, we have;

$SA = 64 + 110.848$

$SA = 174.848$

Rounding off to one decimal place, we get;

$SA = 174.8$

Thus, the area of the square pyramid is 174.8 cm²

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The number value of 2 in the number 4256

Anastaziya [24]

Answer:

200

Step-by-step explanation:

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Shkiper50 [21]

Answer:

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Step-by-step explanation:

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3 years ago

Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤53)?

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

Use the formula to find the z-score, then go to the table that will give you the probability that the value is less than this z-score.

$z=\frac{53-50}{3}=1$

The probability that the value lies to the left of 1 on a standard bell curve is 84.1345%, or 84%, the third choice down.

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Find the slope of a line that goes between points (2, 4) and (5, 7).

yawa3891 [41]

Answer:

Step-by-step explanation:

$\frac{7-4}{5-2}=\frac{3}{3}= 1$

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