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kompoz [17]
2 years ago
5

A rectangle has a length of

Mathematics
1 answer:
cupoosta [38]2 years ago
5 0

Answer:

Perimeter of the rectangle=16 x

Step-by-step explanation:

Step 1: Determine the dimensions of the rectangle

Width=x

Length=7 x

But;

Step 2: Determine the perimeter of the rectangle

P=2(L+W)

where;

P=perimeter

L=length

W=width

In our case;

P=unknown

W=x

L=7 x

replacing;

2(x+7 x)=2 x+14 x

16 x

Perimeter of the rectangle=16 x

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Sarah had 8 guests at her birthday party. She cut her round cake into 12 equal slices. 8 of the slices were eaten. What is the a
Dvinal [7]

Answer:120°

Step-by-step explanation:

Given

cake is cut into 12 equal pieces

We know the top view of cake is similar to circle .

So, if a circle is divided into 12 equal parts then

each part subtend an angle of

∅ = 360/12 = 30%

If 8 slices were eaten , then 4 slices are remaining

These 4 slices measure subtend equal angle at the center therefore

4 slice measure a total of 4 × ∅

➡️ 4 x 30°

➡️ 120°

5 0
2 years ago
Mary would like to save $10 000 at the end of 5 years for a future down payment on a car
suter [353]

Answer:

a) $161.8

b i) Approximately 327.7 hours

ii) The cost of saving is less but the opportunity cost of saving can be higher with regards to technology and regulation

Step-by-step explanation:

The amount Mary would like to save, FV = $10,000

The time Mary over which Mary intends to save the amount, t = 5 years

Therefore, the number of monthly payments, n = 12

a) The amount in interest the bank pays compounding, i = 1.2% per annum

The amount that Mary will deposit each month is given as follows;

The compound interest formula is given as follows;

PMT = \dfrac{FV}{\left (\dfrac{ \left (1 + \dfrac{i}{12}  \right )^n - 1}{ \dfrac{i}{12}} \right)}

Where;

PMT = The monthly payment

Therefore, we get;

PMT = \dfrac{10,000}{\left (\dfrac{ \left (1 + \dfrac{0.012}{12}  \right )^{60} - 1}{ \dfrac{0.012}{12}} \right)} \approx 161.8

PMT = 10,000/((1 + 0.012/12)^(60) - 1)/(0.012/12)) ≈ 161.8

The amount she needs to deposit monthly, PMT ≈ $161.8

b i) Given that the minimum wage varies and we have a minimum wage here is officially approximately $79, which is 160 hours a month work

The number of hours work needed = 161.8/79 × 160 ≈ 327.7 hours a month approximately

b ii) Given that the interest rate for saving is lower than the interest rate for borrowing, the amount paid by saving is much lesser than the amount paid back when borrowing, therefore, it is more cost effective to save

However, while saving, changes may take place, such as the use of what is being saved for, therefore, it can be more beneficial to borrow and make use of the items now while they are still available and acceptable, such as the drive towards net zero is making fuel based cars less popular with the drive being towards electric cars.

7 0
2 years ago
10 POINTS A QUESTION!
Arlecino [84]
For the first triangle the sum of angles in any given triangle is equal to 180 degrees.

The equation for the first triangle would be: 60+80+x+51= 180

Solving it we get: 191+x=180
x=-11.

The second triangle’s equation is: 90+45+52+x= 180

Solving it we get: 187+x=180
x=-7

The third triangle’s equation is: 4+7x= 90
This is because it is a right angle.

Solving it we get: 12.2 (rounding)
x=about 12.2

For the fourth triangle the equation is: 6x-5+5x=105 (we subtract 75 to 180 to get the sum of the other two angles)

Solving it we get: 11x=110
x=10.

Hope this helps! ( and if you can please give brainliest, it would mean a lot!)
6 0
2 years ago
Read 2 more answers
PLEASE HELPPPPP I NEED TO GET THIS DONE BY TODAY . SOMEONE HELP MEE. ITS GEOGEBRA
maksim [4K]

Answer:

It would look like this:

5 0
2 years ago
Question #1) x4 = 256 solve for x
-BARSIC- [3]

In the given equation the value of x is 4.

According to the statement

we have given that the a equation and we have to solve that equation for x and find the value of the x.

So, For the value of x in given statement:

The given equation is

x⁴ = 256

we know that the 2 changes into the square root after rearrangement in the equation so, the equation become

(x²)² = 256

Now,

(x²) = √256

Then equation becomes

(x²) = 16

This is because the square root of the 256 is 16.

Now another square changes into square root then

x = √16

And

x = 4

So, In the given equation the value of x is 4.

Learn more about Square root here

brainly.com/question/98314

#SPJ1

3 0
1 year ago
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