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3 years ago

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

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

7 0

Step-by-step explanation:

Total Surface area of a pyramid is given as

= Lateral surface area + area of base.

Lateral surface area = 1/2×perimeter of base×slant height

given the base is square with side 9 in , and slant height of 12 inches.

therefore, LSA = 1/2(9*4)×12 = 216 in^2

Now, TSA = LSA + Base area = 216+9^2 = 297 in^2

a) It is given that the pyramid is smaller therefore, it will require lesser paint than the original pyramid ( The TSA of the smaller pyramid cannot be calculated as its dimentions are not given).

b) It can not be solved as dimensions are missing in the question.

However, the logic has been explained in the soluion one easily put values to find the solution.

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Solve the system by substitution.<br> x + 6y = -2<br> -x= 3y - 10

TiliK225 [7]

Answer:

x = 22, y = -4

Step-by-step explanation:

x + 6y = -2 --- Equation 1

-x = 3y - 10 --- Equation 2

Equation 2 ×(-1): x = -3y + 10 --- Equation 3

Substitute x = -3y + 10 into Equation 1:

x + 6y = -2

-3y + 10 + 6y = -2

3y + 10 = -2

3y = -2-10

= -12

y = -12 ÷ 3

y = -4

Substitute y = -4 into Equation 3:

x = -3y + 10

x = -3(-4) + 10

= 12 + 10

x = 22

5 0

3 years ago

Jordan found 6×8 by breaking apart the six into 5+ one which of the following correctly shows the next step in finding the resul

Oduvanchick [21]

Can u take a pic to see in what u need help

8 0

3 years ago

Members of the high school baseball team need to purchase cleats before the season starts. The pitcher paid $70 for his, but the

prohojiy [21]

Answer:

The pitcher paid $70.

The second baseman paid $63.

$70 -$63 = $7

Step-by-step explanation:

6 0

3 years ago

A lake was stocked with 360 trout. Each year, the population decreases by 10. The population of trout in

almond37 [142]

Answer:

Part A) The y-intercept is the point (0,360) and the x-intercept is the point (36,0)

Part B) The graph in the attached figure

Part C) see the explanation

Step-by-step explanation:

Part A) Find the intercepts

Let

x ----> the number of years

f(x) ----> the population of trout in the lake

we have

$f(x)=360-10x$

This is a linear function in slope intercept form

$f(x)=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

$m=-10\ \frac{trout}{year}$ ---> is negative because is a decreasing function

$b=360\ trouts$ ---> initial value

The y-intercept is the point (0,360)

<em>Find the x-intercept</em>

The x-intercept is the value of x when the value of f(x) is equal to zero

For f(x)=0

$0=360-10x$

Solve for x

$10x=360\\x=36$

The x-intercept is the point (36,0)

Part B) Graph the function

Plot the intercepts and join the points to graph the line

see the attached figure

Part C) Complete the interpretation of the intercepts

The x-intercept is the value of x when the value of f(x) is equal to zero

In this context, the x-intercept is the number of years, when the population of trouts is equal to zero

In 36 years, the population of trouts will be equal to zero

The y-intercept is the value of f(x) when the value of x is equal to zero

In this context, the y-intercept is the population of trouts when the number of years is equal to zero

Initially the population of trouts in the lake was 360 trouts

5 0

4 years ago

Multiply by 1,2,3 and so on to find the first six multiples of 90

barxatty [35]

Answer:

We know that the factors of the number 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Step-by-step explanation:

so it would be 1,2,3,5,6,9 hope it helps :)

8 0

3 years ago

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