What is the surface area of the prism shown A 1.5 square meters 05 m 1' 12 m B 1.8 square meters \ f I 3 C 2.16 square meters 1.3 m D 2.4 square meters 5

Answers

Answer 1

Answer: Surface area of right angled triangle

= (1/2)*0.5*1.2 = 0.3

For the 2 triangles = 2 *0.3 = 0.6

Area of rectangle 1 = 0.5 * 0.4 = 0.2

Area of rectangle 2 = 1.2 * 0.4 = 0.48

Area of rectangle 3 = 1.3 * 0.4 = 0.52

Total = 0.6 + 0.2 + 0.48 + 0.52 = 1.8

Total surface area = 1.8 square meters.

Option B.

Answer 2

Answer: 1.3 x 0.4 x 2 = 1.04
0.5 x 0.4 = 0.2
( $(1)/(2)$ (0.5 x 1.2)) x 2 = 0.6

1.04 + 0.2 + 0.6 = 1.84m²

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Susan's math teacher assigned x homework problems on Monday. On Tuesday, she assigned 12 more problems. Over the two days, a total of 20 homework problems were assigned. Which equation could be used to find x, the number of problems assigned on Monday?A.
x - 12 = 20
B.
20 + x = 12
C.
12x = 20
D.
x + 12 = 20

Answers

D. lets see what you know, you have 20 problems in 2 days, they did not say the amount of problems were equal on both days, so she had x amount on monday and on tuesday she had 12 more to find the total just add 12 + x = 20
hope I helped

the answer is D because you are trying to find Mondays and yoyu know tuesday and the total already.

em saves at least 20% of what she earned for each week.is she earns $140 each week for 4 weeks wich inequality describes the total amount she saves

Answers

percent means parts out of 100
20%=20/100=2/10=1/5

20% of what she earned earned per week
'of' means multiply
20% of what she earned per week means
1/5 times what she earned per week

140 per week earned
1/5 of per week=saved
1/5 of 140=1/5 times 140=140/5=28

she saved this for 4 weeks
at least 28 saved per week for 4 weeks=28 times 4=102
she saved at least102 total
saved>$102

First, what you would do is multiply 140 and 20%. Which would give you: 28

Then you would multiply 28 by 4 and get 112

Hope this helps!!(:

Expressions like 4(3+2) and 4(3)+4(2) are called what

Answers

distributive property

Answer:

distributive property

Step-by-step explanation:

half of Robert's piece of wire is equal to 2 thirds of Maria's wire. The total lenght of their wire is 10 feet. How much longer is Robert's wire than Maria's?

Answers

You have a system of equations here. R=Robert's piece of wire M=Maria's piece of wire

R/2=2M/3
and
R+M=10

With some basic algebra, you can make that first equation into
R=4M/3
then use substitution to get
(4M/3)+M=10
Then solve for M
(4M/3)+(3M/3)=10
7M/3=10
7M=30
M=30/7

so Maria's wire is 30/7 feet long. With a little more substitution, we can get:
R+(30/7)=10
R=10-(30/7)
R=(70/7)-(30/7)
R=40/7 feet long

So your final answer would be that Robert's wire is 10/7 feet longer than Maria's (which you could always put into decimal form)

Robert's wire is $1(3)/(7)$ longer than Maria's wire

Further Explanation

Let's say

Robert's wire = x

Maria's wire = y

From the problem given we know that:

$\boxed {(1)/(2) x = (2)/(3)y }\n \boxed {x + y = 10 }$

$\boxed {x = 10-y }$

So we get two equations:

$\boxed {(1)/(2) x = (2)/(3)y }\n\boxed {(1)/(2) (10-y) = (2)/(3)y } \n\boxed {5 - (1)/(2)y = (2)/(3) y }\n\boxed {5 = (2)/(3)y + (1)/(2)y }\n\boxed {5 = (7)/(6) y }\n\boxed { y= (30)/(7) }$

Let's subsitute the variable y into one of the equation above:

$\boxed {x + y = 10 }\n\boxed {x + (30)/(7) = 10 }\n\boxed { x = 10 -(30)/(7) }\n\boxed { x = (70-30)/(7) }\n\boxed { x = (40)/(7) }$

Robert's wire (x) is $(40)/(7)$ feet long and Maria's wire is $(30)/(7)$ long.

The difference between Robert's and Maria's is

$\boxed {= (40)/(7) - (30)/(7) }\n\boxed {= (10)/(7) }\n\boxed {= 1(3)/(7) }$

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Dominic uses 1/2 tablespoon of almond butter to make a sandwich he needs to make five sandwiches how many tablespoons of almond butter does Dominic need to make the sandwiches

Answers

Well, we first know that Dominic uses 1/2 tablespoon. So if we use that 1/2 tablespoon on two sandwiches how many tablespoons does Dominic use? A whole! If you make another two sandwiches, then it will make another whole, and I whole plus one whole equals two wholes. Then, you make another one which uses another 1/2. And 1 whole plus one whole plus 1/2 a tablespoon equals 2 1/2!

How is a net useful when finding the surface area of prisms and pyramids

Answers

Answer: Explained.

Step-by-step explanation: We are given to explain the importance of using net in finding the surface area of prisms and pyramids.

With the help of net, we can easily see the different sides, faces and angles of a prism or pyramid.

For example, see the attached figure, where the nets of both prism and pyramid are shown.

With the help of these figures, we can easily calculate the surface area by finding the surface area of each face of the prism or pyramid.

it is useful because it helps you know how many faces the prism or pyramid has

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