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quester [9]
3 years ago
12

Hello - I won't be able to go to bed if I don't solve this thing.

Mathematics
2 answers:
Liula [17]3 years ago
8 0
1.

a. Perimeter of the Picture would be all the sides added up all together. Since it's a 5in. by 7in. picture we know that two sides equal 5 inches and the other two sides equal 7 inches.
5+5+7+7=
10+14=
24 inches

b. If I'm understanding correctly then ...
There is a 1 inch between the picture and the frame.
Thus, each side of the picture has two added inches (one inch on the right and left side)

So, the sides with 5 inches now have two inches extra resulting in its length becoming 7 because 5+2=7
The other two sides with 7 inches now have two extra inches as well. Now becoming nine inches in length.

The frame is determined to be a 7in. by 9in.
Just like we did with the picture, we know add up all the sides.
7+7+9+9=
14+18=
32inches


Hope I didn't mess up for your sake!
Darina [25.2K]3 years ago
7 0
Ok.... so the first part is asking you what the perimeter of the picture itself is.
The picture is 5in by 7in.... SO you add 5+5+7+7=24.... So the perimeter of the pic is 24 inches.

Now part b

So the frame is one inch thick
This mean that the sides are now 2 inches longeron each side

 SO we have 7+7+9+9=32

So the perimeter is 32

I hope that helped!!!!! If you dont understand something ask and i will reexplain ;) 
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If (3). write the following vectors in column vector form:
Art [367]

Answer:

see explanation

Step-by-step explanation:

Given

a = \left[\begin{array}{ccc}3\\2\\\end{array}\right]

To obtain -3a multiply each of the elements of a by -3

3a = \left[\begin{array}{ccc}-3(3)\\-3(2)\\\end{array}\right] = \left[\begin{array}{ccc}-9\\-6\\\end{array}\right]

To obtain 1.5a multiply each element by 1.5

1.5a = \left[\begin{array}{ccc}1.5(3)\\1.5(2)\\\end{array}\right] = \left[\begin{array}{ccc}4.5\\3\\\end{array}\right]

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3 years ago
A hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.
crimeas [40]

One revolution is completed when a fixed point on the wheel travels a distance equal to the circumference of the wheel, which is 2π (13 cm) = 26π cm.

So we have

1 rev = 26π cm

1 rev = 2π rad

1 min = 60 s

(a) The angular velocity of the wheel is

(35 rev/min) * (2π rad/rev) * (1/60 min/s) = 7π/6 rad/s

or approximately 3.665 rad/s.

(b) The linear velocity is

(35 rev/min) * (26π cm/rev) * (1/60 min/s) = 91π/6 cm/s

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5 0
3 years ago
A right rectangular prism is 101/2 m wide, 15 1/2 m long and 3 m tall
gizmo_the_mogwai [7]

Answer:

2348.25 m or 2348 1/4

Step-by-step explanation:

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8 0
3 years ago
Wanda is working on her predictions for the next few days. She calculates that there is a 20% chance of rain on Monday and a 20%
Mariana [72]

Answer:

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the <em>complement </em>of it raining on at least one of these days = it not raining on any day

this means that if it does not rain on at least one day, it does not rain on any day

thus,

1 - probability of it not raining at all = probability it rains at least one day

probability it doesn't rain on monday = 1- 20% = 80%

probability it doesn't rain on tuesday = 1 - 20% = 80%

probability it doesn't rain on monday AND it doesn't rain on tuesday = probability it doesn't rain at all

P(A and B) = P(A) * P(B) = 0.8 * 0.8 = 0.64

1 - 0.64 = 0.36 as our answer

8 0
2 years ago
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RSB [31]
The x variable, that is being multiplied.
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