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3 years ago

50 POINTS !!! For what value of x does 625 = 5 Superscript 6 minus 2 x? 1 2 4 5

Mathematics

2 answers:

Gwar [14]3 years ago

8 0

The value of x is 1

Step-by-step explanation:

According to the problem

625 = $5^{6 - 2x}$

or, $5^{4}$ = $5^{6 - 2x}$

By the rule of index

4 = 6 - 2x

or, 2x = 6 - 4

or, 2x = 2

or, x = 1

Marianna [84]3 years ago

3 0

Answer:

Step-by-step explanation:

to get 625, you need 5^4.

5^6-2=5^4, so to get to 6-2 in the exponents, you need to multiply -2 by 1.

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Answer:

$SA=234.8\ yd^2$

Step-by-step explanation:

we know that

The surface area of the regular pyramid is equal to the area of the triangular base plus the area of its three triangular lateral faces

step 1

Find the area of the triangular base

we know that

The triangular base is an equilateral triangle

The area applying the law of sines is equal to

$A=\frac{1}{2}(14^2)sin(60^o)$

$A=\frac{1}{2}(196)\frac{\sqrt{3}}{2}$

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step 2

Find the area of its three triangular lateral faces

$A=3[\frac{1}{2}bh]$

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Find the height of triangles

Applying the Pythagorean Theorem

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solve for h

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$h^2=100-49$

$h=\sqrt{51}\ yd$

substitute

$A=3[\frac{1}{2}(14)\sqrt{51}]$

$A=149.97\ yd^2$

step 3

Find the surface area

Adds the areas

$SA=84.87+149.97=234.84\ yd^2$

Round to the nearest tenth

$SA=234.8\ yd^2$

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