All categories

3 years ago

What is the surface area of this triangular pyramid?

Mathematics

1 answer:

lidiya [134]3 years ago

8 0

Step-by-step explanation:

The formula for the surface area of a pyramid is:

$SA=B+\frac{1}{2}l(number of base sides)(b)$

B represents the area of the base, which in this case is a triangle. We will figure out the area of the base first, using the formula for the area of a triangle.

$A=\frac{1}{2}bh$

$A=.5*5*4.3$

A = 10.75

Now we can plug in 10.75 for B.

$SA=10.75+.5*5*3*5$

The cursive L will be the lateral height, which is 5. Since there are 3 sides on the base we can put that in for the number of base sides, and the base is 5.

$SA=$

48.25 in^2

You might be interested in

I need the answer asap

Anna71 [15]

Answer:

it's B

Step-by-step explanation:

the easiest why to tell is that, the slope intercept form y=mx+b is the form the equations are b is the y-intercept. If you look at the graph it crosses y at +16 not -16

5 0

2 years ago

Tom is in dire need of a new washing machine. He knows what model he would like to get, but doesn't have the cash to pay for it.

PSYCHO15rus [73]

Answer:

b. Steve's Scratch and Dent.

Step-by-step explanation:

Tom should purchase his washing machine from Steve's Scratch and Dent.

6 0

3 years ago

The coordinate grid shows points a through k. Which points are solutions to the system of inequalities 2x+y 8 please help this i

andre [41]

Answer:

The points that verify the system of inequalities are:

point E, pointF, and point G.

Step-by-step explanation:

Please see the attached image that illustrates the boundary lines in your system of inequalities.

The boundary line for the inequality $2x+y$ is depicted in green, while the boundary line for the inequality $2x-4y>8$ is depicted in red.

By solving for y in each inequality, we understand which half-plane should be considered for the inequality:

First inequality (green boundary line) :

$2x+y$

This means that we are to consider the points below the green boundary line.

Second inequality (red boundary line) :

$2x-4y >8\\2x-8>4y\\y$

This means we have to consider the points below the red boundary line.

Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.

From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.

On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.