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2 years ago

Can someone help me with the first 3 as it is my first time doing it ? I need help

Mathematics

1 answer:

Fed [463]2 years ago

7 0

You problem is you don't have any problem. You have a bunch of formulas for the perimeter and area of some shapes.

As for using the formulas, usually you're given all but one of the variables and you can solve for the remaining one.

Notice how the triangle result doesn't have area as a function of a, b and c. That's called Heron's formula and is usually not taught to secondary school students. I don't like to teach it either because Archimedes' Theorem is so much better:

The sides a,b,c and area S of a triangle satisfy

$16S^2 = (a+b+c)(-a+b+c)(a-b+c)(a+b-c) = 4a^2b^2-(c^2-a^2-b^2)^2 = (a^2+b^2+c^2)^2 - 2(a^4+b^4+c^4)$

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Find the distance between the given points. Given the answer in simplest radical form. (1,1) and (9,1)

PSYCHO15rus [73]

Step-by-step explanation:

$\sqrt{(1 - 1) {}^{2} + (9 - 1) {}^{2} }$

$\sqrt{64} = 8$

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3 years ago

Caleb has an offer from a credit card issuer for 0% APR for the first 30 days and 17.68%

svetlana [45]

Solution:- Answer is 19.33%

Annual percentage rate (APR) is the yearly rate for a price which have to pay for borrowing money through credit card.

Here Caleb has an offer from a credit card issue for i=0% APR for the first 30 days.

now, effective interest rate for n= 30 days

= $r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0}{30} )^{30}-1\\\Rightarrow\ r=(1+0)^{30}-1=1-1=0$

After 30 days APR =17.68%=0.1768

n=365-30=335 days

now the effective interest rate for n=335 days

= $r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0.1789}{335} )^{335}-1\\\Rightarrow\ r=(1+0.000527)^{335}-1=(1.000527)^{335}-1=1.1933-1=0.1933$

=19.33%

So the effective interest rate for 365 days =0+19.33% =19.33%

So fourth option is correct.

6 0

3 years ago

Read 2 more answers

What is the volume of a cone with a diameter of 30 feet and a height of 60 feet use 3.14 for pie

Nesterboy [21]

Answer:

14,130 feet³

Step-by-step explanation:

2r=d

2r=30

r=15

Formula for the volume of a cone is: $\frac{1}{3} *b*h$

$\frac{1}{3} *$ π $*r$ ² $*h$ =

$\frac{1}{3} *3.14*15^{2} *60=\\$

$\frac{1}{3} *3.14*225*60=$

$\frac{1}{3} *3.14*13,500=\\$

$\frac{13,500}{3} *3.14=\\$

$4500*3.14=$

14,130 feet³

8 0

2 years ago

A soda can has a diameter of 2.5 inches and is 4.8 inches tallFind the surface area of the soda can. Round to the nearest hundre

Andre45 [30]

Answer:

a soda can has diameter 2.5 and 4.8 find surface is divides by 1.98

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2 years ago

in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if

mina [271]

We have a square garden of 400 square foot.

The area of a square is:

$A=x^2$

where x: side length.

In this case:

$\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}$

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

$P=4x=4\cdot20=80\text{ ft}$

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

$C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}$

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

$F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40$

Answer: the fencing will cost a total of $128.40

8 0

10 months ago