All categories

3 years ago

What is the area of the shape below.

Mathematics

2 answers:

Cloud [144]3 years ago

7 0

Answer:

trapezoid area = A=a+b /2 h

Step-by-step explanation:

A= 6+2/2

A=8/2(2)

A=4(2)

A=8

hope this helps have a great day

Alex787 [66]3 years ago

5 0

For a trapezoid, the area is:

S=(b+B)h/2, where b and B are the bases, and h is the height.

b=2

B=2+2+2=6

h=2.

S=(2+6)×2/2=8

You might be interested in

If g(x) = -3x + 12, what is the solution set<br> if the domain of gis (-2, 0,2}?

disa [49]

Given:

The function is

$g(x)=-3x+12$

Consider the given domain of g is {-2,0,2}.

To find:

The solution set if the domain of g for the given domain.

Solution:

Domain is the set of input values and range is the set of output value.

We have,

$g(x)=-3x+12$

Domain of g is {-2,0,2}.

For x=-2,

$g(-2)=-3(-2)+12$

$g(-2)=6+12$

$g(-2)=18$

For x=0,

$g(0)=-3(0)+12$

$g(0)=0+12$

$g(0)=12$

For x=2,

$g(2)=-3(2)+12$

$g(2)=-6+12$

$g(2)=6$

Now, the solution set of the given domain of g is

$\{f(-2),f(0),f(2)\}=\{18,12,6\}$

Therefore, the solution set is {18,12,6}.

4 0

3 years ago

Solve. 4x−y−2z=−8 −2x+4z=−4 x+2y=6 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=

ladessa [460]

Answer:

(-2, 4, -2)

x=-2, y=4, z=-2.

Step-by-step explanation:

So we have the three equations:

$4x-y-2z=-8\\-2x+4z=-4\\x+2y=6$

And we want to find the value of each variable.

To solve this system, first look at it and consider what you should try to do.

So we can see that the second and third equations both have an x.

Therefore, we can isolate the variables for the second and third equation and then substitute them into the first equation to make the first equation all xs.

Therefore, let's first isolate the variable in the second and third equation.

Second Equation:

$-2x+4z=-4$

First, divide everything by -2 to simplify things:

$x-2z=2$

Subtract x from both sides. The xs on the left cancel:

$(x-2z)-x=2-x\\-2z=2-x$

Now, divide everything by -2 to isolate the z:

$z=-\frac{2-x}{2}$

So we've isolated the z variable. Now, do the same to the y variable in the third equation:

$x+2y=6$

Subtract x from both sides:

$2y=6-x$

Divide both sides by 2:

$y=\frac{6-x}{2}$

Now that we've isolated the y and z variables, plug them back into the first equation. Therefore:

$4x-y-2z=-8\\4x-(\frac{6-x}{2})-2(-\frac{2-x}{2})=-8$

Distribute the third term. The -2s cancel out:

$4x-(\frac{6-x}{2})+(2-x)=-8$

Since there is still a fraction, multiply everything by 2 to remove it:

$2(4x-(\frac{6-x}{2})+(2-x))=2(-8)$

Distribute:

$8x-(6-x)+2(2-x)=-16\\8x-6+x+4-2x=-16$

Combine like terms:

$8x+x-2x-6+4=-16\\7x-2=-16$

Add 2 to both sides:

$7x=-14$

Divide both sides by 7:

$(7x)/7=(-14)/7\\x=-2$

Therefore, x is -2.

Now, plug this back into the second and third simplified equations to get the other values.

Second equation:

$z=-\frac{2-x}{2}\\ z=-\frac{2-(-2)}{2}\\z=-\frac{4}{2}\\z=-2$

Third equation:

$y=\frac{6-x}{2}\\y=\frac{6-(-2)}{2}\\y=\frac{8}{2}\\y=4$

Therefore, the solution is (-2, 4, -2)

3 0

3 years ago

Read 2 more answers

7. A sales girl is paid Rs 5,000 per month as salary and a 4 commission of % on total sales. If she receives Rs 5,192 at the end

kari74 [83]

Answer:

Sh 4800

Step-by-step explanation:

5192 - 5000 = 192 ( which is the total commission)

4% = 192

100%=? ( so we get the total sales)

100*192/4 = 4800 ( which is the total sales )

5 0

2 years ago

Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm prett

valentinak56 [21]

Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

With 5 shoots, the probability of making at least one is $\frac{211}{243}$ , hence the probability of making none, P(X = 0), is $\frac{232}{243}$ , hence: