Find the surface area of this prism and explain how and FINAL EXAMS tomorrow HELP!!!!!!!! Please
Find the surface area of this prism and explain how - 1

Answers

Answer 1
Answer: surface area formula of a prism is:
S.A = 2 × Area of base + Perimeter of base × Height of prism
So the given are:
5 cm, 2 cm, and 3 cm

The base is an equilateral triangle
So the base is 3 cm and height is 2 cm
and we know the area of a triangle is:
A = (1)/(2)bh
P = add all sides together

Substitute them:
S.A =  2 × (1)/(2)(3)(2) + (3 + 3 + 3) × 5
       = 6 + 45
       = 51 cm²

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Answers

These are the answers to problems 29 and 30:
29. C
30. C

4x-y=7 , 4x-2y=2
Solve the equation with elimination

Answers

The solution of the system of linear equations by elimination method will be (3, 5).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The system of linear equations is given below.

4x - y = 7             ...1

4x - 2y = 2          ...2

Subtract equation 2 from equation 1, then we have

2y - y = 7 - 2

y = 5

Then the value of the variable 'x' is given as,

4x - 5 = 7

4x = 12

x = 3

The solution of the system of linear equations by elimination method will be (3, 5).

More about the solution of the equation link is given below.

brainly.com/question/545403

#SPJ2

\left\{\begin{array}{ccc}4x-y=7\n4x-2y=2&\text{change the signs}\end{array}\right\n\underline{+\left\{\begin{array}{ccc}4x-y=7\n-4x+2y=-2\end{array}\right}\qquad\text{add both sides  of the equations}\n\n.\qquad\qquad \boxed{y=5}\n\n\text{Put the value of y to the first equation:}\n\n4x-5=7\qquad\text{add 5 to both sides}\n\n4x=12\qquad\text{divide both sides by 4}\n\n\boxed{x=3}\n\nAnswer:\ \boxed{x=3\ and\ y=5}

Deforestation in Africa has had the effect ofA) preventing the spread of disease

B) leading most in the country to prosperity

C) causing a lasting boom in the timber industry.

D) causing massive starvation and a migration of people

Answers

Answer: Option 'D' is correct.

Step-by-step explanation:

Deforestation in Africa has had the effect of causing massive starvation and a migration of people as the number of population of nomads is more in Africa and they live in forests and get their food from there. As forest is the main source for them for their survival.

Deforestation means "Cutting down of trees in a large number ":

So, they get affected by this .

Hence, Option 'D' is correct.

I would say D since this could cause people to have to move somewhere else due to destruction

Identify the value that is NOT in range of the piecewise function. A. -3
B. -2
C. 3

Answers

Answer:

Option A i.e. y = - 3 is not in range of the piece wise function graphed.

Step-by-step explanation:

The range of a function y = f(x) is given by the possible values of y for the possible domain (x-values) of the function.

Now, it is clear from the graph of the function that the value of y never goes below y = - 2.

The graph is drawn in such a way that any value of y less than - 2 and greater than - ∞ is not in the range of the function.

Therefore, option A i.e. y = - 3 is not in range of the piecewise function graphed. (Answer)

Ty Is planning A triangular garden. Which of the following sets of side lengths can create a garden in the shape of a triangle? A. 2ft, 4ft, 7ft

B. 3ft, 8ft, 12ft

C. 4ft, 9ft, 15ft

D. 8ft, 11ft, 17ft

Answers

Set ' D ' is the only set of numbers that can be the
lengths of a triangle's sides.  A, B, and C can't.

What is the LCM of 40 and 15?

Answers

LCM\ is\ the\ least\ common\ number\ that\ is\ multiply\ of\ both:\n\n Factors\ of\ 40\n40:2\n20:2\n10:2\n5:5\n\n Factors\ of\ 15\n15:3\n5:5\n\n LCM(24,38)=2^3*3*5=120\n\n \textbf{LCM(40,15)=120}