All categories

2 years ago

A cube and a square pyramid were joined to form the composite solid.

Mathematics

1 answer:

Yakvenalex [24]2 years ago

5 0

We know that
total surface area of the composite solid=surface area of the pyramid+surface area of the cube

surface area of the pyramid=4*area of lateral triangle side
area of lateral triangle side=12*9/2----> 54 in²
surface area of the pyramid=4*54---> 216 in²

surface area of the cube=5*[12*12]----> 720 in²

total surface area of the composite solid=216 in²+720 in²---> 936 in²

the answer is the option
936 square inches

You might be interested in

To investigate the relationship between amount of sales y (in thousands of dollars) and the amount x (in hundreds of dollars) sp

riadik2000 [5.3K]

Answer:

(A) For each additional hundred dollars spent on advertising, sales are predicted to increase by $2,380.

Step-by-step explanation:

Regression isa statistical equation, denoting relationship between independent (causal) variable(s) & dependent (effected) variable.

y = a + bx

where y = dependent variable, x = dependent variable, a (intercept) = autonomous value of y, b (slope) = change in y due to change in x

Regression equation of independent variable (x) as advertising expenditure & dependent variable (y) sales : y = 24.45 + 2.38x

Sales are in thousands of dollars, advertising expenditure is in hundreds of dollars. So, the interpretations are :

Intercept interpretation : When there is zero advertising expenditure, sales are 24.45 thousands i.e $24450
Slope Interpretation : When advertisement expenditure change (rise) by 1 hundred, sales change (rise) by 2.38 thousand i.e $2380

7 0

2 years ago

You are purchasing books summer reading for $4.50 each. Part A: Your total cost, C, depends on,The input is,and the output is,Pa

Crazy boy [7]

Answer:

Part A) see the explanation

Part B) $C(12)=\$54$

Step-by-step explanation:

Part A)

we know that

A relationship between two variables, x, and C, represent a proportional variation if it can be expressed in the form $k=\frac{C}{x}$ or $C=kx$

Let

C ---> is the total cost (represent the output or dependent variable)

x ----> is the number of books (represent the input or independent variable)

In this problem

we have a proportional relationship between the variables x and C

Part B) we know that

The linear equation is given by

$C=kx$

The constant of proportionality k is the same that the slope or unit rate of the linear equation

In this problem the constant k is given

$k=\$4.50\ per\ book$

$C=4.50x$

For x=12 books

substitute in the equation and solve for C

$C=4.50(12)=\$54$

In function notation

$C(12)=\$54$

5 0

3 years ago

At what point does a line with a slope of 34 and a y-intercept of -5 intersect a line with a slope of −14 and a y-intercept of 3

maw [93]

Set them into slope-intercept forms of equations then set those equations equal to each other and solve for x and y. y = 34x - 5 and y = -14x+3. Set those equal to each other, solve for x to get x = 1/6. Sub in that x value to get y = 2/3. The point where they intersect is the solution of the system; in other words, where on both lines we have the exact same (x, y) value.

4 0

3 years ago

Find the circumcenter of the triangle ABC.

gtnhenbr [62]

Triangle circumcenter
(-0.5,-2)

5 0

2 years ago

How do you solve w=120(1/3) by step

lubasha [3.4K]

Answer:

w=40

Step-by-step explanation:

120*1/3=40

Therefore, w=40

6 0

2 years ago