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Serggg [28]
3 years ago
14

What is the volume of this composite solid? 2 m 8 m 3 m 5 m

Mathematics
2 answers:
NeTakaya3 years ago
8 0

Answer:

240

Step-by-step explanation:

2*8*3*5

Karo-lina-s [1.5K]3 years ago
5 0

Answer:

160

Step-by-step explanation:

a P e X

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The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp
Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}

Using that formula, you may prove that d(C,E) = d(D,F), which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}

You can use this formula to prove that

m_{CE} = -\cfrac{1}{m_{DF}}

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

y-y_0 = m(x-x_0)

where (x_0,y_0) is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}

And use again the formula for the distance between two points to prove that

d(A,C) = d(A,D) = d(A,E) = d(A,F)

4 0
3 years ago
Dalvin answered 51 questions correctly on his multiple choice science final and earned a grade of 85%. How many total questions
Leona [35]

Answer:

60

Step-by-step explanation:

Divide the number of questions answered correctly by his percentage

51 / 85 = 0.6

Now multiply that answer by 100 to see how many questions are on the quiz

0.6 x 100 = 60

Check your work by dividing that number by the number he answered correctly

51 / 60 = 0.85

4 0
2 years ago
Please answer this is only algebra 1
Alexeev081 [22]

The numeric values for the given functions are as follows:

  • f(1/3) = 1/9.
  • g(4) = 8.
  • g(-3) = -6.

<h3>How to find the numeric value of a function or of an expression at a given point?</h3>

To find the numeric value of a function at x = a, we replace each instance of the variable, usually x, in the function by the desired value of a.

Function f(x) is defined by:

f(x) = x².

For the numeric value at x = 1/3, we replace the lone instance of x by 1/3, hence:

f(1/3) = (1/3)² = 1/9.

Function g(x) is defined by:

g(x) = 2x.

For the numeric value at x = 4, we replace the lone instance of x by 4, hence:

g(4) = 2(4) = 8.

For the numeric value at x = -3, we replace the lone instance of x by -3, hence:

g(-3) = 2(-3) = -6.

More can be learned about the numeric values of a function at brainly.com/question/28367050

#SPJ1

6 0
1 year ago
Please please please help me I need it within 10 minutes!
Alja [10]
Mr Green- Brown tie
Mr Black- Green tie
Mr. Brown- Black tie

I'm working on 6

Hope this helps in the meantime :)
5 0
3 years ago
Anyone wanna please help it’s due at 1:30
Elan Coil [88]
The answer is D (- 4x^2 - 3x - 5)

Explanation:

- 4f(x) - 3g(x)
= - 4(x^2 + 5) - 3(x - 5)
= - 4x^2 - 20 - 3x + 15
= - 4x^2 - 3x - 5
4 0
2 years ago
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