An 8-kilogram bag of carrots costs $16.08. What is the unit price?

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.

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

8 0

3 years ago

Read 2 more answers

Solve the inequality. Graph the solution. Describe the graph in the area provided. Be sure to indicate where there is an open or

natka813 [3]

Step-by-step explanation:

The given inequality is :

$-27\ge \dfrac{1}{2}(6x-12)$

Solving RHS of the inequality:

$-27\ge \dfrac{1}{2}\times 2(3x-6)\\\\-27\ge (3x-6)$

Adding 6 both sides of the inequality

$-27+6\ge (3x-6)+6\\\\-21\ge 3x\\\\x\le -7$

The attached figure shows the graph for the given inequality.

7 0

2 years ago

You gave the server at a restaurant a 22% tip and ended up paying $41.48. What was the price of your meal before you applied the

const2013 [10]

Answer: The price of meal before the tip = $34.

Step-by-step explanation:

Given : The percentage of tip = 22% = 0.22 ( we divide a percentage by 100 to convert it into decimal)

Total amount paid ( including tip) = $41.48

Formula for Total bill = Price of meal + Tip amount , where Tip amount= 22% of Price of meal.

Let x be the price of meal, then

Total bill =x + 0.22 x (x )

⇒ $41.48= x(1+0.22) [ By distributive property]

⇒ $41.48 = x (1.22)

⇒ x= ($41.48) ÷ 1.22

⇒ x= 34

Hence, the price of your meal before you applied the tip = $34.

7 0

3 years ago

Please help it would be much appreciated!

sergiy2304 [10]

Answer:

Part a) Option d

Part b) Option a

Step-by-step explanation:

Part a

if we look at the options given and the data available

Option a) x^4+9

Putting x= 2 we get (2^4) + 9 =25

Putting x= 3 we get (3^4) + 9 =90 but f(x) =125 so not correct option

Option b) (4^x)+9

Putting x= 2 we get (4^2) + 9 =25

Putting x= 3 we get (4^3) + 9 =73 but f(x) =125 so not correct option

Option c) x^5

Putting x= 2 we get (2^5) =32 but f(x) =25 so not correct option

Option d) 5^x

Putting x= 2 we get (5^2) =25

Putting x= 3 we get (5^3) =125

Putting x= 4 we get (5^4) =625

So Option d is correct.

Part (b)

3(2)^3x

can be solved as:

=3(2^3)^x

=3(8)^x

So, correct option is a

8 0

2 years ago

Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3

zalisa [80]

We have that
A(-2,-4) B(8,1) 

let
M-------> the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3

we know that

A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
distance MB is equal to (3/5) AB
so

step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
Mx=-2+(2/5)*10-----> Mx=2

step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2

the coordinates of point M is (2,-2)

see the attached figure

7 0

3 years ago