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adelina 88 [10]
3 years ago
15

A square piece of glass has a perimeter of 32 cm. how long is each side of the piece of glass?​

Mathematics
1 answer:
ElenaW [278]3 years ago
3 0

Answer:

8cm

Step-by-step explanation:

Using the properties of a square, we know that a square has 4 sides, which are all of the same lengths.

Perimeter simply means the sum of all the outer lengths, so all we need to do is 32 ÷ 4, which = 8.

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The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint:
Nataly [62]

Angle A = 3x - 10

Angle B = x

Their angle sum = 90° ( complementary angles form 90° )

This can be written in an equation as =

= 3x - 10 + x = 90

= 3x + × + ( -10 ) = 90

= 4x + (-10) = 90

= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )

= 4x = 100

= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )

= x = 25

Angle A = 3x - 10

= 3 × 25 - 10

= 75 - 10

= Angle A = 65°

Angle B = x = 25°

Their sum = 65 + 25 = 90°

Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .

6 0
3 years ago
A rectangular prism has a length of 1 2 in, a width of 2 in, and a height of 3 1 2 in. (a) How many cubes with side lengths of 1
erma4kov [3.2K]
V of rectangular prism = l * w * h = 12 * 2 * 312 = 7,488 in³
V of one cube with side lengths 12 = l * w * h = 12 * 12 * 12 = 1,728 in³

Divide the volume of rectangular prism by the volume of the cube.

7488 / 1728 = 13 / 3 or 4.3. . .


4 0
3 years ago
Read 2 more answers
Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of
VashaNatasha [74]

Answer:

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Step-by-step explanation:

Sample information:

Size     n = 100

mean   x = 28,5

Population information

μ₀  =  30

Standard deviation  σ   = 8

Test Hypothesis

Null Hypothesis          H₀                x =  μ₀

Alternative Hypothesis   Hₐ           x <  μ₀

We assume CI = 95 %   then α = 5 %    α = 0,05

As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery

A z(c) for 0,05 from z-table is:  z(c) = - 1,64

z(s) = ( x - μ₀ ) / σ/√n

z(s) = ( 28,5 - 30 ) / 8/√100

z(s) = - 1,5 * 10 / 8

z(s) =  - 1,875

Comparing z(s)  and z(c)

|z(s)| < |z(c)|        1,875  > 1,64

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

3 0
3 years ago
You own a motel and have a pricing structure that encourages rentals of rooms in groups.
zheka24 [161]

Answer:

$41

Step-by-step explanation:

  • One room rents for $68,
  • Two rooms for $65 each,
  • In general, the group rate per room is found by taking $3 off the base of $68 for each extra room.

So,

a_1=\$68\\ \\a_2=\$65\\ \\a_3=\$62\\ \\...

where a_n is the rate per nth room rented.

This is an arithmetic sequence, so

a_n=a_1+(n-1)\cdot d

In your case,

a_1=68\\ \\n=10\\ \\d=-3

Hence

a_{10}=68+(10-1)\cdot (-3)=68-9\cdot 3=68-27=41

This means if a group rents 10 rooms, the charge per room is $41.

5 0
3 years ago
Whats balance fe+30^2 &gt;fe^2O^3
blsea [12.9K]

Answer:

You are given:

4Fe+3O_2 -> 2Fe_2O_3

4:Fe:4

6:O_2:6

You actually have the same number of Fe on both sides, The same is true for O_2 so yes this equation is properly balanced.

For added benefit consider the following equation:

CH_4+O_2-> CO_2+2H_2O

ASK: Is this equation balanced? Quick answer: No

ASK: So how do we know and how do we then balance it?

DO: Count the number of each atom type you have on each side of the equation:

1:C:1

4:H:4

2:O:4

As you can see everything is balanced except for O To balance O we can simply add a coefficient of 2 in front of O_2 on the left side which would result in 4 O atoms:

CH_4+color(red)(2)O_2-> CO_2+2H_2O

1:C:1

4:H:4

4:O:4

Everything is now balanced.

Step-by-step explanation:

5 0
2 years ago
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