All categories

3 years ago

Find the surface area of the composite solid.

Mathematics

2 answers:

andreev551 [17]3 years ago

5 0

281 ft. I took the test today, I hope you get a good grade!!

Dvinal [7]3 years ago

4 0

Answer:

281 ft^2

Step-by-step explanation:

We need to add each individual 2d shape together to find the surface area

Bottom: 5*12 = 60

Left side and right side: 4*5 = 20, 2 sides so 20*2= 40

Side facing us and side facing away from us: 12*4 = 48, 2 sides so 48*2=96

Top side that is cut by base of triangle: 7*5 = 35

Each triangle face: base = 5 (12-7), height = 5 1/2base * height so each triangle is .5*5*5 = 12.5; 4 triangles so 12.5*4=50

60+40+96+35+50=281

You might be interested in

John pays a $3 monthly service fee plus 11 cents per minute. his bill was $23.13. how many minutes did he use?

xenn [34]

Pretty sure its 183. correct me if im wrong tho

5 0

3 years ago

Which graph represents the function f(x) =-lx-2l-1

zimovet [89]

It’s the second one from the right

Since there’s a - behind x it means it has to be facing down so it’s either 2 or 4

Now it’s x-2 and we know that x moves the opposite so it needs to move 2 to the right so the answer is 2

6 0

4 years ago

What are the solutions to the equation x2−12x+100=0?

marysya [2.9K]

Answer:

$x=6+8i$

$x=6-8i$

Step-by-step explanation:

$x^2-12x+100=0$

solve by quadratic formula.

$\frac{-b+-\sqrt{b^2-4(a*c)} }{2*a}$

$\frac{12+\sqrt{(-12)^2-4*(1*100)} }{2*1}$

$\frac{12-\sqrt{(-12)^2-4*(1*100)} }{2*1}$

which is

$x=\frac{12+16i}{2}$

$x=\frac{12-16i}{2}$

Simplify.

$x=6+8i$

$x=6-8i$

Solved.

Hope this helps.

8 0

2 years ago

Which of the triangles described in the table is a right triangle?.

Sergeu [11.5K]

A right triangle is a triangle that consist of an angle which one angle is 90degree and the remaining angle would be less than to 90 and the best answer to your question based on my calculation i think the answer is A.

5 0

3 years ago

This morning, some dragons, horses, and chickens were playing in my backyard. I counted 15 heads, 50 legs, and 4 wings. How many

klasskru [66]

We are given

number of heads =15

we know that

any healthy dragon has three heads

horse has 1 head

chicken has 1 head

Let's assume

number of dragons is x

number of horses is y

number of chickens is z

so, we will get

first equation:

$3x+y+z=15$

number of legs =50

any healthy dragon has four legs

chicken has 2 legs

horse has four legs

so, we can get second equation as

$4x+4y+2z=50$

we can simplify it

$2(2x+2y+z)=50$

$2x+2y+z=25$

now, we can find third equation

dragon has two wings

horse has no wings

chicken has two wings

so, we will get third equations as

$2x+0y+2z=4$

now, we can simplify it

$2x+2z=4$

$2(x+z)=4$

$x+z=2$

so, we will get system of equations as

$3x+y+z=15$

$2x+2y+z=25$

$x+z=2$

now, we can use substitution

We can find for z from third equation

$z=2-x$

we can plug this in first equation

$3x+y+2-x=15$

now, we can solve for y

$2x+y+2=15$

$y=13-2x$

now, we can plug this z and y into second equation

$2x+2(13-2x)+2-x=25$

now, we can solve for x

$x-4x+26=23$

$-3x=-3$

$x=1$

now, we can find y and z

$y=13-2x$

we can plug x=1

$y=13-2*1$

$y=11$

$z=2-x$

we can plug x=1

$z=2-1$

$z=1$

Hence ,

number of dragons is 1

number of horses is 11

number of chicken is 1............Answer

7 0

3 years ago