All categories

2 years ago

Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary.

Mathematics

1 answer:

steposvetlana [31]2 years ago

8 0

Answer:

1) 651.5 cm²

2) 462 cm²

3) 99 ft²

4) 1540.8 yd²

Step-by-step explanation:

1) Area of the trapezoid: (12 + 7)/2 * 6.5 = 61.75 cm²

Area of the lateral rectangles: 7*16 = 112 cm²

Area of the top rectangle: 12*16 = 192 cm²

Area of the bottom rectangle: 7*16 = 112 cm²

Area of the figure: 192 + 112 + 2*61.75 + 2*112 = 651.5 cm²

2) Area of the top and bottom squares: 11*11 = 121 cm²

Area of the lateral rectangles: 11*5 = 55 cm²

Area of the figure: 4*55 + 2*121 = 462 cm²

3) Area of the trapezoid: (3 + 7)/2 * 3.5 = 17.5 ft²

Area of the lateral rectangles: 4*4 = 16 ft²

Area of the top rectangle: 7*4 = 28 ft²

Area of the bottom rectangle: 3*4 = 12 ft²

Area of the figure: 28 + 12 + 2*17.5 + 2*12 = 99 ft²

4) Area of the lateral rectangles: 11*12 = 132 yd²

Area of the top and bottom hexagons: 3*12*10.4 = 374.4 yd²

Area of the figure: 6*132 + 2*374.4 = 1540.8 yd²

You might be interested in

What are the properties of an obtuse triangle

coldgirl [10]

An obtuse triangle will have one and only one obtuse angle.

The other two angles are acute angles.

The sum of the two angles other than the obtuse angle is less than 90º.

The side opposite to the obtuse angle is the longest side of the triangle.

The points of concurrency, the Circumcenter and the Orthocenter lie outside of an obtuse triangle, while Centroid and Incenter lie inside the triangle.

5 0

3 years ago

Please help due tmr I also have 2 more questions!

Marina CMI [18]

Answer:

Step-by-step explanation:

n = 17

n - 7 = 10

Carry over the - 7

n = 7 + 10

n = 17

6 0

2 years ago

Ms. Carr's Class Is Selling Magazines To Raise Money For A Field Trip. The Students In The Class Device They Wanted To Make 5.50

FinnZ [79.3K]

Here you are giving only the amount they want to raise (namely profit times number of magazines sold), and here you are also giving Money they want to raise... So clarifying, the money they want to raise, should include the money they will spend on buying the magazines (there is no statement saying they found them, or were given the magazines, so a cost should be involved)

Now if they are only making the count of "Field trip costs X amount of money, and given we have to make a profit of $5.5, How many must we sell?" then the equation should be n=X/5.5

Should the story be, how much money must they raise to have a profit of 5.5 on each magazine and still have enough for the field trip, then you have a different equation which varies only in adding the cost of each magazine, either case, M should be defined not as money they need to raise (cause here they will be short on their goal) but Money they must earn. And again, you should rewrite your equation to be:

M=Amount they must raise
C=Cost per magazine
n=Number of magazines
p=profit $5.5 per magazine

C+p=M/n

And rewriting the previous they should make:

n(C+p)=M -----> n(C+5.5)=M m/n = 5.50 
m/n x n = 5.50 x n //// multiply each side by n 

m = 5.5n

6 0

2 years ago

Read 2 more answers

Triangle ABC is an equilateral triangle.Find the angle of rotation that maps A to B

svet-max [94.6K]

The sum of the inner angles of any triangle is always 180°, i.e. you have

$\alpha + \beta + \gamma = 180$

In the particular case of an equilater triangle, all three angles are the same, so

$\alpha = \beta = \gamma$

and the expression becomes

$\alpha + \beta + \gamma = \alpha + \alpha + \alpha = 3\alpha = 180$

which implies $\alpha = 60$

So, if you rotate the triangle with respect to its center by 60 degrees, the triangle will map into itself. In particular, if you want point A to be mapped into point B, you have to perform a counter clockwise rotation of 60 degrees with respect to the center of the triangle.

Of course, this is equivalent to a clockwise rotation of 120 degrees.

Finally, both solutions admit periodicity: a rotation of 60+k360 degrees has the same effect of a rotation of 60 degrees, and the same goes for the 120 one (actually, this is obvisly true for any rotation!)

3 0

3 years ago

Question 7

saw5 [17]

Answer:

I'm pretty sure that'd be 8567

3 0

3 years ago