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3 years ago

Factor 3y3 – 9y2 The factored polynomial is

Mathematics

1 answer:

allochka39001 [22]3 years ago

4 0

Answer:

Factor 3y23y2 out of 3y33y3.

3y2(y)−9y23y2(y)-9y2

Factor 3y23y2 out of −9y2-9y2.

3y2(y)+3y2(−3)3y2(y)+3y2(-3)

Factor 3y23y2 out of 3y2(y)+3y2(−3)3y2(y)+3y2(-3).

3y2(y−3)

Step-by-step explanation:

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10 POINTS<br> Find the surface area of the regular pyramid. Round to the nearest tenth if necessary.

NNADVOKAT [17]

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

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

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

$A=49\sqrt{3}=84.87\ yd^2$

step 2

Find the area of its three triangular lateral faces

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

we have

$b=14\ yd$

Find the height of triangles

Applying the Pythagorean Theorem

$10^2=(14/2)^2+h^2$

solve for h

$100=49+h^2$

$h^2=100-49$

$h=\sqrt{51}\ yd$

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

$SA=234.8\ yd^2$

5 0

3 years ago

Read 2 more answers

How does the value of the digit 2 in 2000 compare with the value of the digit 2 in 200

iragen [17]

Answer:

The value of 2 in 2000 is 10 times greater than the value of 2 in 200

Step-by-step explanation:

from the value of 2 in 200 to reach 2000, it takes 10 times as much because we're moving only one place (which is the thousand's digit).

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3 years ago

3. Lines of symmetry divide figures into two equal parts.<br> True<br> False

Elan Coil [88]

Answer:

False

Step-by-step explanation:

You can have more than one line of symmetry to divide figures into more than two equal parts.

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2 years ago

Which expression is equivalent to-2-7? Subraction with Intergers

vlada-n [284]

Answer:

-7-2

Step-by-step explanation:

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2 years ago

PLEASEE HELP ME I DONT KNOW HOW TO DO THIS !!

larisa [96]

G(h(0)) = 20

h(x) = x+4
h(0) = 0+4
h(0) = 4

g(x) = 5x
g(h(0)) = g(4) = 5(4) = 20

8 0

3 years ago