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4 years ago

Please help me find surface area for each. Round to the nearest tenth if needed.

Mathematics

1 answer:

Degger [83]4 years ago

3 0

Answer:

168 in², 94.25 yd²

Step-by-step explanation:

I couldn't find a formula for the SA of a triangular prism so I just found the area of each surface.

The formula for SA of a cylinder is $2\pi rh+2\pi r^{2}$

All work for triangular prism is in the image

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Solve the equations for the given variable. Then place the equations in the table under the correct solution

vekshin1

Placing the equations under the correct solution, we get

x = 3 x ≠ 3

-14x = -42 -5 + x = -9

$-\frac{3}{5} +x = \frac{12}{5}$ $\frac{x}{3} =9$

$\frac{x}{4} =\frac{6}{8}$

x -5 = -2

<h3>Solving Linear Equations </h3>

From the question, we are to place the equations under the correct solution

To do this, we will solve the equations one after the other

-14x = -42

x = -42/-14

x = 3

-5 + x = -9

x = -9 + 5

x = -4

∴ x ≠ 3

$-\frac{3}{5} +x = \frac{12}{5}$

$x = \frac{12}{5} +\frac{3}{5}$

$x = \frac{12+3}{5}$

$x = \frac{15}{5}$

x = 3

$\frac{x}{4} =\frac{6}{8}$

$x=\frac{6\times 4}{8}$

$x=\frac{24}{8}$

x = 3

$\frac{x}{3} =9$

x = 3 × 9

x = 27

∴ x ≠ 3

x -5 = -2

x = -2 + 5

x = 3

Hence, placing the equations under the correct solution, we get

x = 3 x ≠ 3

-14x = -42 -5 + x = -9

$-\frac{3}{5} +x = \frac{12}{5}$ $\frac{x}{3} =9$

$\frac{x}{4} =\frac{6}{8}$

x -5 = -2

Learn more on Solving linear equations here: brainly.com/question/13204213

#SPJ1

5 0

2 years ago

One week Michaela earned 142.20 at her job when she worked for six hours if she is paid the same hourly wig how many hours would

Mazyrski [523]

Answer:

she should have to work 35 hours a week

7 0

3 years ago

What property is used to rewrite (x + 2)(y + z) as y (x + 2) + z (x + 2)

andreyandreev [35.5K]

Answer:

Distributive Property

Step-by-step explanation (if you were to show the steps):

(x+2)(y+z) (first expression)

xy + xz + 2y + 2z (Distributive Property of Multiplication)

yx + 2y + zx + 2z (use the Commutative Property of Addition and Commutative Property of Multiplication to group xy (also known as yx) and 2y together, and to group xz (also known as zx) and 2z together)

y(x + 2) + z(x + 2) (use factoring to get the rewritten expression at the end)

5 0

3 years ago

Plot the vertex and the axis of symmetry of this function on the provided graph.

tia_tia [17]

Answer:

(-2,-6)

-2

Step-by-step explanation:

To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have

-2

this is the x coordinate of the vertex.

Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)

This is the y coordinate

which means we have (-2,-6)

the axis of symmetry is just the x coordinate of the graph

which is -2

5 0

3 years ago

A farmer wants to build a rectangular pen which will be bounded on one side by a river and on the other three sides by a single-

Marat540 [252]

Answer:

A) Dimensions;

Length = 20 m and width = 10 m

B) A_max = 200 m²

Step-by-step explanation:

Let x and y represent width and length respectively.

He has 40 metres to use and he wants to enclose 3 sides.

Thus;

2x + y = 40 - - - - (eq 1)

Area of a rectangle = length x width

Thus;

A = xy - - - (eq 2)

From equation 1;

Y = 40 - 2x

Plugging this for y in eq 2;

A = x(40 - 2x)

A = 40x - 2x²

The parabola opens downwards and so the x-value of the maximum point is;

x = -b/2a

Thus;

x = -40/2(-2)

x = 10 m

Put 10 for x in eq 1 to get;

2(10) + y = 40

20 + y = 40

y = 40 - 20

y = 20m

Thus, maximum area is;

A_max = 10 × 20

A_max = 200 m²

6 0

3 years ago