You need to paint a decorative garden ornament that is in the shape of pyramid with a square base

that is 9 inches long and has a slant height of 12 inches.


a. A smaller pyramid has linear dimensions that are

times that of the larger pyramid. Does the

smaller pyramid require times the amount of paint? Explain.


b. Another pyramid has the same base lengths but the slant height. Does this pyramid require

the paint as the original pyramid? Explain.

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

so in first picture

1 is exterior angle of the triangle

it means that

1=2+3

so is evident that m 1 > m 2

in the second picture

1 is the exterior angle of the triangle

so

1=3+4

but 3=2 as alternate interior angles

definition:The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

so is evident that m 1 > m 2

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(1)

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 2 + ∠ 3

Thus ∠ 1 must be > ∠ 2

(2)

∠ 3 = ∠ 2 ( alternate angles )

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 3 + ∠ 4 = ∠ 2 + ∠ 4

Thus ∠ 1 > ∠ 2

Answer:

dang steve dog training go brrr

Step-by-step explanation:

Answer: 80

Step-by-step explanation: First divide 48 by 6 and that would give us 8. Then multiply 8 by 10 which equals 80 and thats how you do it!

Answer:

_5x/4 radians is answer

Answer:

its 6............................

Step-by-step explanation:

a(n) = a +(n-1)d

a=-2

d=4+2=6

°.° a(n) = -2 +(n–1)6

hope this helps

The account after 1 year if he makes no withdrawals will be $309.

Omar deposits $300 in an account earning 3% interest compounded annually.

And,  3% interest compounded annually

To find the how much will be in the account after 1 year if he makes no withdrawals?

Now, According to the question:

We know that

P = 300

r = 3%

n = 1

t = 1

where:

P = Principle

r=rate

n=time

And formula is:

P ×[tex](1+r/n)^n^t[/tex]

Substitute the values in the formula

= 300 × [tex](1 + \frac{3}{100} / 1 )^1[/tex]

Evaluate the equation / expression , we get

= 309

Hence, The account after 1 year if he makes no withdrawals will be $309.

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Answer:

Step-by-step explanation:

y = 4x + 2                 Substitute x = -6

y = 4(-6) + 2

y = -24 + 2

y = - 22

Answer:

c

Step-by-step explanation:

Answer:

D;75ml

Step-by-step explanation:

1st water→30ml

1st oil→20ml

2nd water →Xml

2nd oil →50ml

30→20

X →50

cross multiply both equations

1500=20x

X=1500/20

X=75ml

Answer:

x = -7

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

2x+6+2x−6

=2x+6+2x+−6

Combine Like Terms:

=2x+6+2x+−6

=(2x+2x)+(6+−6)

=4x

if 2 cm is 1 meter then 1 meter is 2 cm

13 * 2 = 26

26 cm is the answer

The equilibrium price of hot dogs A. increases.

The equilibrium quantity of hot dogs A. increases

The supply curve shifts right

The demand curve shifts right.

It should be noted that the equilibrium price is the pice at which the quantity demanded and supplied is equal

In this case, the equilibrium price of hot dogs increases and the equilibrium quantity of hot dogs increases.

This will cause a positive affect on the supply and demand curve and they will shift I the right.

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Answer and explanation:

The equation y=4.2x can be represented by a situation such as the total price of a number of goods

For example, if the total price of chocolate candies purchased from a store is given by the equation

y=4.2x

Such that the price per chocolate candy is $4.2 and x number of chocolate candies are bought, total price of chocolate candies bought is y

If 6 chocolate candies are bought, total price y using the equation would be

y=4.2 *6= $25.2

Answer:

B) x < 9 or x > 23

------------------------------------

I'm so sorry if I'm not correct, but that's the only answer that makes any sense to the sentence.

Answer:

11/4

Step-by-step explanation:

4/4 is 1 whole.

We have 2 whole.

So, right now we have: 8/4

We can't forget about the 3/4!

8/4+3/4=11/4

This means your total is 11/4

Hope this helps you out!

-AxekickNebulite

The value of an improper fraction of a mixed number [tex]2 \dfrac{3}{4}[/tex] would be [tex]\dfrac{11}{4}[/tex].

Used the concept of the fraction that states that,

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Given that the mixed number [tex]2 \dfrac{3}{4}[/tex].

Now, change the mixed number [tex]2 \dfrac{3}{4}[/tex]  into an improper fraction as,

[tex]2 \dfrac{3}{4} = \dfrac{(2\times 4 )+ 3}{4}[/tex]

[tex]= \dfrac{11}{4}[/tex]

Therefore, The value of an improper fraction would be [tex]\dfrac{11}{4}[/tex].

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The positive even integers whose sum of reciprocals is 7/24 are 6 and 8.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Let the two consecutive even integers be 2x and 2x+2 then there sum of reciprocal will be 7/24 that is now solving for positive value of x by finding roots of quadratic equation :

[tex]\begin{aligned}\frac{1}{2x}+\frac{1}{2x+2}&=\frac{7}{24}\\\frac{1}{x}+\frac{1}{x+1}&=\frac{7}{12}\\\frac{2x+1}{x^2+x}&=\frac{7}{12}\\24x+12&=7x^2+7x\\7x^2-17x+12x&=0\\x&=3, \frac{-4}{7} \end{aligned}[/tex]

Consider only positive value of x that is 3

Therefore, The positive even integers whose sum of reciprocals is 7/24 are 6 and 8.

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Answer:

my acc just got yeeted by a penguin pfp

Step-by-step explanation:

Answer:

oops look in commments

Step-by-step explanation:

Answer:

Step-by-step explanation:

The distance from the balcony to the ground level = 37 - 0 = 37ft

The distance from the basement floor to the ground level = 0 - (-17) = 17 feet

the distance of the balcony and basement from ground level will be the sum of the distances gotten = 37 - (-17)

= 37 + 17

= 54 feet

Hence the distance of the balcony and basement from ground level is 54 feet

Answer:

D

Step-by-step explanation:

The Answer is D

Answer:

Somebody already answered lol but it’s D.

Step-by-step explanation:

I’m bored

Answer:$20

Step-by-step explanation: We first need to figure out how much a single candy is worth. To do that we need to divide 40 candy bars by $30. 40/30 is equal to 4/3 or $1.33 dollars each. Now we multiply 15 by the price of a single candy bar which is 4/3 or 1.33 dollars. 4/3*15 is $20.

Answer:

0.856p dollars

Step-by-step explanation:

Original price of TV: p

Discount: 20% of p

Discounted price: p - 20% of p = p - 0.2p = 0.8p

7% sales tax on the discounted price of 0.8p: 0.07 * 0.8p = 0.056p

Add the 7% tax to the discounted price: 0.8p + 0.056p = 0.856p

Answer: 0.856p dollars

Answer:

Ten is two more than five times a number ten is two more translate to10+2 Five times the number translates to 5x where x stand for the number. And the word than means equality. So the equation is10+2=5x→5x=12

Answer:

Ans is ( 1 , 4 )

Step-by-step explanation:

meter jhdogasdoiew

Answer:

(1, -5).

Step-by-step explanation:

The robot is at the point (-3, -5).

If it moves 4 to the right the x coordinate increases by 4 and the y-coordinate stays the same.

The answer is

((-3 + 4, -5)

= (1, -5).

Answer:

B: 1/5 = 4/x

Step-by-step explanation:

1cm = 5km

4cm = 20km

If a tower casts a shadow 12 m long while a nearby building casts a shadow 8 m long and the building is 16 m high, then the height of the tower is equal to 24 m.

The height of the tower can be determined by using proportionality.

In this problem, the shadows of the building and the tower are proportional to the heights of the building and the tower.

Hence, the equation can be written as:

shadow of the tower ÷ shadow of the building = height of the tower ÷ height of the building

12 / 8 = h / 16

Here h is equal to the height of the tower

1.5 = h / 16

h = 1.5 x 16

h = 24

Hence, the height of the tower is calculated to be 24 meters.

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Answer:

The sum of the exterior angles in a convex 50-gon polygon is 360° ⇒ A

Step-by-step explanation:

In the question

∵ The polygon has 50 sides

→ By using the 3rd rule above

∵ The sum of the exterior angles of any polygon (n-gon) is 360°

∴ The sum of the exterior angles in a convex 50-gon polygon is 360°