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V125BC [204]
3 years ago
13

What is the surface area of the three-dimensional figure formed by the net shown?

Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0

Answer:

336 cm²

Step-by-step explanation:

1 rectangle 24 cm by 12 cm

1 triangle with base 12 cm and height 8 cm (combining the two small triangles into 1 larger triangle)

SA = 24 cm * 12 cm + 12 cm * 8 cm / 2

SA = 288 cm² + 48 cm²

SA = 336 cm²

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What is the value of the following expression? <br> -9/4➕-8/5-2 1/2
SOVA2 [1]
The answer to the expression is -97/20 or -4.85
3 0
3 years ago
What are the factors of 7x + 5x + 12 + 23
emmainna [20.7K]

Answer:

7, x, 5, and x

Step-by-step explanation:

factors are numbers or variables being multiplied by something else. 12 and 23 arent being multiplied by anything

4 0
3 years ago
Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
Leokris [45]

Answer:

angle CAB = 113.8 degree

angle ABC = 35.6 degree

angle BCA = 30.6 degree

Step-by-step explanation:

Given data:

A(1, 0, −1),

B(5, −3, 0),

C(1, 5, 2)

calculate the length of side by using the distance formula

so

AB = (5,-3,0) - (1,0,-1) = (4,-3,1)

AC= (1,5,2) - (1,0,-1) = (0,5,3)

|AB|

|AC| =\sqrt {(0 + 5^2+3^2)} = \sqrt{34}

From following formula, calculate the angle between the two side i.e Ab and AC

AB.AC = |AB|*|AC| cos ∠CAB

(4,-3,1).(0,5,3)

4*0 -3*5 +1*3

-12 =

cos ∠CAB = - 0.404

angle CAB = 113.8 degree

BA =B- A =  (1,0,-1) - (5,-3,0) = (-4,3,-1)

BC = (1,5,2)-(5,-3,0) = (-4,8,2)

|BA| = \sqrt{(26)}

|BC| = \sqrt {(4^2 + 8^2 + 2^2)} = \sqrt{(84)}

BA.BC = |BA|*|BC|* cosABC

(-4,3,-1).(-4,8,2) =\sqrt{(26)} * \sqrt{(84)} *cosABC

16+24-2

cos ∠ABC = 0.813

angle ABC = 35.6 degree

we know sum of three angle in a traingle is 180 degree hence

sum of all three angle = 180

angle BCA + 35.6 + 113.8 = 180

angle BCA = 30.6 degree

7 0
3 years ago
Erica baby sits for 4 1/2 hours and is paid $27.
nalin [4]
A. Erica gets 6 dollars per hour.
B. She would get 48 dollars for 8 hours.
C. I would say 5 and a half hours. Maybe 5 hours and 45 minutes.
4 0
3 years ago
In a Cartesian coordinate system, the horizontal axis is called the x-axis and the____ axis is called the y-axis?
lianna [129]

Answer:

"vertical" (y axis), "lateral" (x axis), and "horizontal" (z axis)

Step-by-step explanation:


4 0
3 years ago
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