The face that is shared with the rectangular prism is . The area of each base of the rectangular prism is square units. The lateral area (excluding the shared face) for the rectangular prism is square units. The total surface area of the composite figure will be square units.

Answers

Answer 1
Answer:

The total surface area of the composite figure will be square units. Therefore, the correct option is option C.

What is prism?

A three-dimensional in nature solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles. And any n-sided polygon, whether a triangle, square, rectangle, or other, might serve as the prism's base.

A prism is a solid object with flat faces or surfaces, uniform cross-section along its length, and two identical ends (such as a triangle, square, rectangle, etc.). Given that the cross-section resembles a triangle, triangular prisms are so named. There are no curves in the prism's form. The total surface area of the composite figure will be square units.

Therefore, the correct option is option C.

To know more about prism, here:

brainly.com/question/29722724

#SPJ3

Answer 2
Answer:

The answer is c: 279 Step-by-step explanation:


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Question 1 Coach Johnson is 10 years older than Tim. When Tim started football 3 years ago, Coach Johnson was twice his age. How old is Tim now?

Numerical Answers Expected!

Answer for Blank 1:
Question 2 Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.

x - 62,500 = 0.25y

If a total of 125,000 people voted, how many votes did Maya receive?

Numerical Answers Expected!

Answers

Question 1:
x - Tim`s age,  y - Coach Johnson`s age:
x + 10 = y
2 * ( x - 3 ) = y - 3
-----------------------
2 x - 6 = x + 10 - 3
2 x - x = 7 + 6
x = 13
Tim is 13 years old.
Question 2:
x - 62,500 = 0.25 * 125,000
x - 62,500 = 31,250
x = 31,250 + 62,500
x = 93,750
Maya received 93,750 votes.

What is the absolute value of the complex number -4 - square root of 2iA) square root of 14
B) 3 square root of 2
C) 14
D) 18

Answers

The absolute value of the complex numberz=a+bi is |z|=√(a^2+b^2).

Consider the complex number z=-4-√(2)i. For this complex number a=-4 and b=-√(2).

Therefore, the absolute value of this complex number is

|z|=\sqrt{(-4)^2+(-√(2))^2}=√(16+2)=√(18)=3√(2).

Answer: correct choice is B

A) square root of 14

The value of a car has decreases by 5% each year. Sophie bought a car two years ago for £10000 work out the value now .

Answers

Answer:

£9000

Step-by-step explanation:

= £10 000×5×2

100

= 1000

= £10 000-1000

= £9000

What are the vertex, focus, and directrix of the parabola with equation y = x^2 – 10x + 33?

Answers

Answer:

Vertex:(5,8)

Focus:(5,8.25)

Directrix: y=7.75

Step-by-step explanation:

For the equation of the parabola in the form:

(x - h)² = 4p(y - k), where p≠ 0

The vertex of this parabola is at (h, k).

The focus is at (h, k + p).

The directrix is the line y = k - p.

Converting the equation y=x²-10x+33 in the above form

y=x²-10x+25+8

y=(x-5)²+8

(x-5)²=(y-8)

On comparing this equation with the above equation, we see that

h=5  k=8 and 4p=1

or p=1/4

Vertex=(5,8)

Focus=(5,8+1/4)

         =(5,8.25)

Directrix:  y=8-1/4

               y= 7.75

opens up so
(x-h)^2=4P(y-k)
complete the square with the x term
take 1/2 of -10 and square it and add that to both sides

y+25=x^2-10x+25+33
factor perfect square
y+25=(x-5)^2+33
minus 33 both sides
y-8=(x-5)^2
force factor out a 4
4(1/4)(y-8)=(x-5)^2
(x-5)^2=4(1/4)(y-8)
vertex is (5,8)

distance from directix is P or 1/4 or 0.25
since opens up, directix is ycoordinate-0.25 aka y=7.75 is directix
focus=(5,8+0.25)=(5,8.25)


vertex=(5,8)
directix: y=7.75
focus: (5,8.25)


Can some one please explain to me how to do these three problems so that I can do the rest of my home work. THANK YOU

Answers

1.4²+b²=3.1²
1.96+b²=9.61
b²=7.65
b=√7.65
b=2.8(rounded to the nearest tenth)

5²+12²=C²
25+144=c²
169=c²
c=√169
c=13cm

6²+3²=c²
36+9=c²
c²=45
c=√45
c=6.7ft ( rounded to the nearest tenth)
a² + b² = c²
1.4² + b² = 3.1²
1.96 + b² = 9.67
-1.96         -1.96
           b² = 7.71
            b ≈ 2.78
-----------------------------------------------------------------------------------------------
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c
-----------------------------------------------------------------------------------------------
a² + b² = c²
6² + 3² = c²
36 + 9 = c²
45 = c²
6.71 ≈ c

An equation is shown below:9(3x – 2) = 1

Which of the following correctly shows the first two steps to solve this equation?

Step 1: 27x – 2 = 1; Step 2: 27x = 3
Step 1: 27x – 18 = 1; Step 2: 27x = 19
Step 1: 12x + 7 = 1; Step 2: 12x = –6
Step 1: 12x – 11 = 1; Step 2: 12x = 12

Answers

Answer: The correct answer is A just took the test!

Step-by-step explanation:

Answer:

a

Step-by-step explanation: