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Rudik [331]
3 years ago
5

Please help, Find the area of the figure

Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0

Answer:

243cm squared

Step-by-step explanation:

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A cross section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the
alukav5142 [94]
A cross section is the two dimensional shape that is created when a slice is made through a solid figure by an intersection of a plane and the solid body.

A square pyramid is a pyramid with a square base.

Case 1: When the plane intersects the square pyramid at an angle perpendicular to the base but not through the vertex. In this case a trapezoid is formed.

Case 2: When the plane intersects the square pyramid at an angle perpendicular to the base and through the vertex. In this case a triangle is formed.

Case 3: When the plane intersects the square pyramid at an angle parallel to the base. In this case a square is formed.

<span>Therefore, a cross section made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base can be of shapes:

-square
-triangle
-trapezoid</span>
8 0
3 years ago
Read 2 more answers
Please help<br><br> What is the unknown value for u:3 = 2:6
Andrew [12]

Answer: i think it should be 1:3=2:6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve the equation a/a^2-9 +3/a-3=1/a+3
MAXImum [283]
Answer is: a= -4
STEP
1
:

1
Simplify —————
a + 3
Equation at the end of step
1
:

a 3 1
(————————+—————)-——— = 0
((a2)-9) (a-3) a+3
STEP
2
:

3
Simplify —————
a - 3
Equation at the end of step
2
:

a 3 1
(————————+———)-——— = 0
((a2)-9) a-3 a+3
STEP
3
:

a
Simplify ——————
a2 - 9
Equation at the end of step
3
:

a 3 1
(————————————————— + —————) - ————— = 0
(a + 3) • (a - 3) a - 3 a + 3

Equation at the end of step
4
:

(4a + 9) 1
————————————————— - ————— = 0
(a + 3) • (a - 3) a + 3
Pull out like factors :

3a + 12 = 3 • (a + 4)

Equation at the end of step
6
:

3 • (a + 4)
————————————————— = 0
(a + 3) • (a - 3)

3•(a+4)
——————————— • (a+3)•(a-3) = 0 • (a+3)•(a-3)
(a+3)•(a-3)

a+4 = 0

Subtract 4 from both sides of the equation :
a = -4
7 0
3 years ago
Find the distance from point A(−9,−3) to the line y = x−6. Round your answer to the nearest tenth.
Vladimir79 [104]

The distance from point A(−9,−3) to the line y = x−6 is 8.5 units

<u>What is slope ?</u>

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

step 1

Find the slope of the perpendicular line to the given line

y=x-6 ---> given line

The slope is m=1

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m1*m2 = -1

we have

m1=1

substitute

(1)*m2 = -1

so

m2 = -1

step 2

Find the equation of the perpendicular line to the given line

The equation in point slope form is

y-y1=m(x-x1)

we have

m=-1

(x1,y1)=(−9,−3)

substitute

y+3=-1(x+9)--> equation in point slope form

y+3= -x-9

y= -x-12---> equation in slope intercept form

step 3

Find the intersection point between the given line and the perpendicular line to the given line

we have the system of equations

y = x−6.

y= -x-12

Solve the system by graphing

The intersection point is (-3,-9)

see the attached figure

step 4

we know that

The distance between the point A and the point (-3,-9) is the same that the distance between point A and the line y=x-6

the formula to calculate the distance between two points is equal to

d=√[(y2-y1)² + (x2-x1)²]

substitute the values

d=√[(-9+3)² + (-3+9)²]

d= √72 units

simplify

d= 6√2 = 8.5 units

To learn more about the slope from the given link

brainly.com/question/16949303

#SPJ1

8 0
1 year ago
Find XY.<br> ._________.___.<br> X Y 7 Z
Rufina [12.5K]

Answer:

hey dude, The formula is (x-y)³=x³-3x²y+3xy²-y³.

6 0
3 years ago
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