All categories

3 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]3 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

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

You might be interested in

Calculate the length of AC to one decimal place in the trapezium below.

a_sh-v [17]

Answer:

First we will split trapezium on two geometric figure.

One is rectangle and the second is right triangle.

When we subtract 11-4=7cm we get one cathetus of the right triangle a=7cm also we know hypotenuse which is c=16cm.

We will use Pythagorean theorem to find the second cathetus b

b=√16∧2-7∧2= √256-49= √207 ≈ 14.39cm =DC =>

AC =√(DC)∧2+(AD)∧2= √14.39∧2+11∧2= √207+121= √328= 18.1cm

AC=18.1cm

Good luck!!

7 0

3 years ago

The cooking time for a piece of meat is proportional to the weight of the meat. What is the value of the constant for this relat

Vesna [10]

The temperature of the oven/cooking thingy. The weight and time always change. But the temp doesn't.

6 0

3 years ago

There were two containers of oil. There was twice as much oil in the second container as in the first one. After using 13 liters

Iteru [2.4K]

Answer:

48 liters

Step-by-step explanation:

First container = x

Second container has twice as much oil.

Second container = 2x

13 liters of oil was used from first container.

x - 13

7 liters of oil was used from the second container.

2x - 7

Second container has 3 times more oil than the first one.

2x - 7 = 3(x - 13)

x - 7 = 3(x - 13)

x - 7 = 3x - 39

2x = 32

x = 16

First container = 16 liters

second container = 16 x 2 = 32 liters

Total = 16 + 32 = 48 liters

3 0

3 years ago

Read 2 more answers

Judges in a diving competition gave scores of 9.3, 9 1/2, 9 4/5, 9.95 And 9 1/4. Which two scores were closest to one another?

Kazeer [188]

9.3 and $9\frac{1}{4}$ were closest to another.

<u><em>Explanation</em></u>

First we will convert each given fractions into decimal form. So....

$9\frac{1}{2}= 9+\frac{1}{2} = 9+0.50 =9.50\\ \\ 9\frac{4}{5}= 9+ \frac{4}{5}= 9+0.80=9.80\\ \\ 9\frac{1}{4}= 9+\frac{1}{4} =9+0.25= 9.25$

Then the scores are: 9.30, 9.50, 9.80, 9.95 and 9.25

So, 9.30 and 9.25 are closest to another as their difference is (9.30-9.25)=0.05

That means , 9.3 and $9\frac{1}{4}$ were closest to another.

6 0

3 years ago

Read 2 more answers

According to the "January theory," if the stock market is up for the month of January, it will be up for the year. If it is down

PSYCHO15rus [73]

Answer:

The required probability is 0.031918.

Step-by-step explanation:

Consider the provided information.

It is given that According to an article in The Wall Street Journal, this theory held for 22 out of the last 34 years.

Therefore n=34

The probability it is either up or down is 0.5.

Thus the value of p =0.5 and q = 0.5

Now calculate the probability

Let X is the number of years that theory held.

X has a binomial distribution with n=34 and p=0.5

$P(X=22)=\binom{34}{22}(0.5)^{22}(0.5)^{12}\\P(X=22)=\frac{34!}{22!\times 12!}(0.5)^{22}(0.5)^{12}\\P(X=22)=548354040\times 5.8207660913\times 10^{11}\\P(X=22)=0.0319184060208\\P(X=22)\approx0.031918$

Hence, the required probability is 0.031918.

8 0

3 years ago