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3 years ago

6

Find the lateral area and surface area of a regular triangular prism with base edge 7 cm, a base height 6.1 cm and prism height

of 11 cm. Round to the nearest tenth.

1 answer:

konstantin123 [22]3 years ago

5 0

Lateral Area: 288 cm

Total Surface Area: 331 cm

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Use the elimination method to solve the system of equations. Choose the correct ordered pair.

Nina [5.8K]

I think the answer will be C

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3 years ago

The total cost C of bulk jelly beans varies directly as the number of pounds p. If

gavmur [86]

Answer:

it would be 4 pounds

Step-by-step explanation:

8.98 times 4 equals 35.92

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2 years ago

Fudgin [204]

Answer:

$\angle 1 =47^o\\\angle 2 = 133^o\\\angle 4 = 133^o$

Step-by-step explanation:

Notice that angles <1 and <3 are opposed by the vertex, which makes them of equal measure, therefore, <1 = 47 degrees.

Notice as well that angles <1 and <2 combine into a straight line, therefore, they are supplementary angles whose addition gives 180 degrees then we can find the value of angle <2 via:

$\angle 1 + \angle 2 = 180^o\\47^o + \angle 2=180^o\\\angle 2 = 180^o-47^o\\\angle 2 =133^o$

And finally, angle <4 is opposite through the vertex to angle <2, and therefore they must have the same measure. So, <4 = 133 degrees.

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2 years ago

Veronica is saving money to by a saddle for her horse that costs 175 . She plans to save $10 the first month and then increased

JulijaS [17]

The answer is 12 I promise

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3 years ago

Solve x2+4x+6=0 by graphing

klemol [59]

Answer: x = -2±√2 i or no real roots. See the explanation below.

Step-by-step explanation:

If you draw the graph, you will notice that there are no common points or you can say that there are no x-intercepts.

This means that the equation doesn't have any real roots.

If there are 2 common points (2 x-intercepts) then there are 2 real roots (answers.)

If there is only one common point (vertex is on x-axis) then there is only 1 real root.

If there aren't any common points (no x-intercepts) then there are no real roots.

So first, I'm gonna convert the equation into function and convert the standard form to vertex form.

$x^2+4x+6=0\\y=x^2+4x+6\\y=(x^2+4x+4)-4+6\\y=(x+2)^2+2$

We notice that the vertex is at (-2,2), the graph doesn't have x-intercepts (Graph below)

So the answer is clearly complex.

If you solve this by solving the equation then it'll be.

$x^2+4x+6=0\\x= \frac{-b+-\sqrt{b^2-4ac}}{2a} \\x=\frac{-4+-\sqrt{16-24} }{2}\\x=\frac{-4+-\sqrt{-8} }{2}\\\\x=\frac{-4+-2\sqrt{2}i }{2}\\\\x={-2+-1\sqrt{2}i }\\\\$

The answer is complex.

However, you can find the value of x easily by graphing. For example.

$x^2+6x+5=0$

Factor then you get

$(x+5)(x+1)=0\\x=-5,-1$

Or you can convert it to vertex form then graph.

$y=x^2+6x+5$

$y=(x^2+6x+9)-9+5\\y=(x+3)^2-4$

The vertex is at (-3,-4) then graph parabola (x-intercepts determine the roots of quadratic equation. For the graph, parabola intercepts x at (-5,0) and (-1,0) that means both -5 and -1 both are the value of x.

Note:

From the standard form, $y=ax^2+bx+c$ The graph is called Parabola, and it's Quadratic Function.

a is how the graph is, for example. If a>0, the graph is supine parabola and if a<0 then the graph is inverted parabola.

|a| is determined if the graph is wide or narrow, the more the value of a is, the more narrow it will be. The less the value of a is, the more wide it will be.

b is what determined the change of graph (likely vertex). Without b, then it'd be $ax^2+k$ which only move y-axis and not x-axis.

c is what determined the y-intercept and y-axis. If there is no b or the value of b is 0 then the vertex is at (0,c). If there is the value of b then c is only determined the y-intercept.

4 0

3 years ago