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Gelneren [198K]
3 years ago
9

Rectangle 1 has length 10 and width 20. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k=3

Mathematics
1 answer:
Gwar [14]3 years ago
5 0

Answer:

30cm, 60cm

Step-by-step explanation:

Given data

Dimensions of the first rectangle

Length =10cm

Width =20cm

We are told that the dimensions of the second rectangle is gotten by multiplying the first rectangle by 3

Hence the dimensions of the second rectangle is

Length =10*3= 30cm

Width = 20*3= 60cm

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For your friend's birthday, you have 3 presents to wrap. Find the combined surface area of these 3 gifts so you know how much wr
omeli [17]

The answer is: 5,614 square inches.

The explanation is shown below:

1. The gift on the bottom is a rectangular prism. To calculate its surface area, you must apply the following formula:

 SA=2[(l)(w)+(l)(h)+(h)(w)]

Where l is the length (20 inches), w is the width (42 inches) and h is the heigth (16 inches).

2. Substitute values:

SA1=2[(20in)(42in)+(20in)(16in)+(16in)(42in)]=3,664in^{2

3. The surface area of the other gifts can be calculated with the formula for calculate the surface area of a cube:

SA=6s^{2}

Where s is the side.

4. The surface area of the bigger cube is:

SA2=6(15in^{2})=1,350in^{2}

5. The surface area of the smaller cube is:

SA3=6(10in^{2})=600in^{2}

6. The total surface area (the combined surface area of the three gifts) is:

SAt=SA1+SA2+SA3\\SAt=3,664in^{2}+1,350in^{2}+600in^{2}\\SAt=5,614in^{2}

7 0
3 years ago
Simplify the expression
Troyanec [42]

Answer: …

Step-by-step explanation: you need an image

4 0
3 years ago
Read 2 more answers
Write and solve a system of equations to determine how many tickets were sold before and at the music festival. PLEASE HELPPP
strojnjashka [21]

b = number of tickets sold before

a = number of tickets sold after

cost of a ticket = number of tickets times cost per ticket

before cost = 39.95b

after cost = 54.95a

total cost = 925000

39.95b + 54.95a = 925000

total number tickets = 20000

b + a = 20000

we have

39.95b + 54.95a = 925000

b + a = 20000

multiply second equation by -39.95 and add to first equation

39.95b + 54.95a = 925000

-39.95b-39.95a = -799000 +

0b+15a = 126000

15a = 126000

divide bot sides by 15

a = 8400

sub back

b + a = 20000

b+8400 = 20000

minus 8400 both sides

b = 11600

11,600 tickets sold before

8400 tickets sold after

3 0
3 years ago
Use the distance formula to find the perimeter. Round to the nearest tenth.
Ierofanga [76]

Answer:

37.6 units

Step-by-step explanation:

Perimeter = sum of all sides of the triangle

To find the sum, find the distance between each points.

✔️Distance between points (-7, 6) and (5, -4):

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} =

= \sqrt{(5 - (-7))^2 + (-4 - 6)^2}

= \sqrt{(12)^2 + (-10)^2}

= \sqrt{144 + 100}

= \sqrt{244} = 15.6 units (nearest tenth)

✔️Distance between (-7, 6) and (-7, -4):

|6 -(-4)| = 10 units

✔️Distance between (-7, -4) and (5, -4)

|-7 - 5| = 12 units

✔️ Perimeter = 15.6 + 10 + 12 = 37.6 units

6 0
3 years ago
ABCD is a rectangle. Find the length of each diagonal...
Dominik [7]
Setting AC = BD because the diagonals are congruent, then 3y/5 = 3y -4
y=5/3
So then AC = 1 = BD
4 0
4 years ago
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