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Leya [2.2K]
3 years ago
5

Find the area of the figure. in.2

Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Area of a box:

base * height = area

1 in * 1 in = 1 in^2

Area of a triangle:

(1/2) * base * height  = area

(1/2) * 3 * 3 = 4.5 in^2

4.5 in^2 + 1 in^2 = 5.5 in^2.

So the overall area is 5.5 in^2.

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In a class of 40 students, the number of girls is 10 more than the number of boys. We have to find the number of girls and the n
Nadusha1986 [10]

Answer:

b=15 g=25

Step-by-step explanation:

lets translate that story problem to mathematics equations

the problem told that no. of girls are 10 more than no of boys so this will =

g=b+10

then in class there are 40 students that means

g+b=40

now we have to equations with two variables then we should substitute

(b+10)+b=40

lets remove the brackets

2b+10=40 subtract 10 from both sides

2b=30 now divide both by 2

b=15 so g=25 after you write the equation once again with the new proof or number

6 0
3 years ago
Find volume of triangular pyramid or prism.
almond37 [142]

I hope this helps you

5 0
4 years ago
Read 2 more answers
Please please please need help on 3 and 4 I’m really lost on them
Alex73 [517]

Answer:

1) Option c) is correct ie., 5 real and o non-real

2) Option b) is correct ie., (4, \frac{1}{2}, \frac{1}{2}, 2,2)

Step-by-step explanation:

Given polynomial function is f(x)=x^5-3x^3-2

To find zeros equate f(x) to zero ie.,  f(x)=0

x^5-3x^3-2=0

By synthetic division

     |   1     0    -3      0      -2

-1  |   0    -1      1      2      2

     |_________________

        1      -1      -2     2      0

Therefore x=-1 is a zero

x^3-x^2-2x+2=0

      |  1    -1     -2    2

1      |  0     1     0     2

      |___________________

          1     0   -2   0

x=1 is the zero

x^2 -2 =0

x=\pm\sqrt{2}

x=\sqrt{2} and

x=\sqrt{-2}

Option c) is correct ie., 5 real and o non-real

2) Given polynomial function is f(x)=(x-4)(2x-1)^2(x-2)^2

To find zeros equate f(x) to zero ie.,  f(x)=0

                                                            (x-4)(2x-1)^2(x-2)^2=0

(x-4)=0 (or) (2x-1)^2=0 or (x-2)^2=0

Therefore x=4, x=\frac{1}{2} of multiplicity of 2 and x=2 multiplicity of 2

Option b) is correct ie., (4, \frac{1}{2}, \frac{1}{2}, 2,2)

5 0
3 years ago
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
Anastasy [175]

Inequalities help us to compare two unequal expressions. (-6, 3) is not the solution to the system of inequalities.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The graph of y ≥ −3x + 3 will be a solid line with the equation y=−3x + 3, this solid line signifies that the value on this line is also included in the solution. Since the symbol is '≥' therefore the area above the line will have the solutions.

The graph of y<(3/2)x -6 will be a dashed line with the equation y=(3/2)x - 6, this dashed line signifies that there is no solution on the line. since the inequality symbol is '<' therefore, the area under the dashed line will have all the solutions.

The area where both shaded areas meet is the area that will have all the possible solutions.

PartB:

y ≥ −3x + 3

3 ≥ -3(-6) + 3

3 ≥ 18 + 3

Since the above inequality is not satisfied, (-6, 3) is not the solution to the system of inequalities.

Learn more about Inequality:

brainly.com/question/19491153

#SPJ1

4 0
2 years ago
Which of the binomials below is a factor of this trinomial 4x^2-4x-120
tatyana61 [14]
<span>4x^2-4x-120
=4(x^2 - x - 30)
=4(x-6)(x+5)

answer
</span><span>B.x-6</span>
7 0
3 years ago
Read 2 more answers
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