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Reptile [31]
3 years ago
15

I need help with the steps for the triangular prism. thank you.

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
8 0

Answer:

  1. <u>50</u>
  2. <u>480</u>
  3. <u>530</u>

Step-by-step explanation:

Volume of triangular prism :

  • 1/2 x length x breadth x height
  • 1/2 x 5 x 4 x 5
  • 2 x 25
  • <u>50</u> cm²

Volume of rectangular prism :

  • length x breadth x height
  • 10 x 8 x 6
  • 10 x 48
  • <u>480</u> cm²

Total Volume of Composite Figure :

  • Volume of triangular prism + Volume of rectangular prism
  • 50 + 480
  • <u>530</u> cm²
Helen [10]3 years ago
3 0

Step-by-step explanation:

The formula of prism is area of right angled triangle × height

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What is the midpoint of the line segment with endpoints (-1,-6) and (-3,4)
aliina [53]

Answer:

The final answer for the midpoint:

m = (-2, -1)

Step-by-step explanation:

-Use the midpoint formula in order to find the midpoint:

m = (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})

-Next, use both points ( -1, -6) and (-3, 4) for the equation:

m = (\frac{-1-3}{2}, \frac{-6+4} {2})

-Then, you solve:

m = (\frac{-1-3}{2}, \frac{-6+4} {2})

m = (\frac{-4}{2}, \frac{-2} {2})

m = (-2,-1)

So, the final answer for the midpoint is m = (-2, -1).

8 0
4 years ago
In a math class with 27 students, a test was given the same day that an assignment was due. There were 17 students who passed th
RSB [31]

Answer:

The probability that a student passed the test given that they did not complete the assignment is \frac{15}{22}.

Step-by-step explanation:

The probability of an event <em>E</em> is the ratio of the number of favorable outcomes <em>n</em> (E) to the total number of outcomes <em>N</em>.

P(E)=\frac{n(E)}{N}

The union of two events is:

P(A\cup B)=P(A)+P(B)-P(A\cap B)

The intersection of the complements of two events is:

P(A^{c}\cap B^{c})=1-P(A\cup B)

The condition probability of an event given that another event has already occurred is:

P(B|A)=\frac{P(A\cap B)}{P(A)}

Denote the events as follows:

<em>A</em> = students who passed the test

<em>B</em> = students who completed the assignment

Given:

N = 27

n (A) = 17

n (B) = 22

n(A^{c}\cap B^{c}) = 3

Compute the value of P (<em>A</em> ∪ <em>B</em>) as follows:

P(A^{c}\cap B^{c})=1-P(A\cup B)

  P(A\cup B)=1-P(A^{c}\cap B^{c})

                  =1-\frac{3}{27}\\

                  =\frac{24}{27}

Compute the value of P (A ∩ B) as follows:

P(A\cup B)=P(A)+P(B)-P(A\cap B)

P(A\cap B)=P(A)+P(B)-P(A\cup B)

               =\frac{17}{27}+\frac{22}{27}-\frac{24}{27}\\

               =\frac{17+22-24}{27}

               =\frac{15}{27}

Compute the value of P (A | B) as follows:

P(A|B)=\frac{P(A\cap B)}{P(B)}

            =\frac{15/27}{22/27}

            =\frac{15}{22}

Thus, the probability that a student passed the test given that they did not complete the assignment is \frac{15}{22}.

4 0
3 years ago
Read 2 more answers
Rearrange the formula to make the letter in the square bracket the subject <br> y= 3x - 5 (x)
patriot [66]

Answer:

y= 3x - 5

y+5 = 3x

x = (y+5)/3

8 0
3 years ago
Read 2 more answers
Please help and I need EXPLANATION too​
lys-0071 [83]

a because

x  + 1 \geqslant 0 \\   \:   \:  \:  - 1 \:  \:  \:  \:   - 1 \\ x \geqslant  - 1

4 0
3 years ago
I will mark you brainiest if right
Marrrta [24]

Answer:

no f ing clue

Step-by-step explanation:

sym

3 0
3 years ago
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