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2 years ago

Please help i don't know the answer to number 11

Mathematics

1 answer:

vivado [14]2 years ago

6 0

The length of midpoint connected size is half of the size of the triangle that it's parallel to. that's means lengh of sizes are half of the original.

area of triangle with known side a, b, c
s = (a+b+c)/2
area = sqrt(s(s-a)(s-b)(s-c))

area of midpoint triangle wih side a/2, b/2, c/2
s' = (a/2+b/2+c/2)/2 = (a+b+c)/4 = s/4
area' = sqrt(s'(s'-a/2)(s'-b/2)(s'-c/2))
= sqrt(s/2(s/2-a/2)(s/2-b/2)(s/2-c/2))
= (1/4)sqrt(s(s-a)(s-b)(s-c)) = (1/4)area

answer is 1/4

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What is the probability that a point chosen at random in the given figure will be inside the larger square and outside the small

liraira [26]

Answer:

51/100

Step-by-step explanation:

The probability that a point chosen at random in the given figure will be inside the larger square and outside the smaller square is equal to the ratio of the area of interest to the total area:

P(inside larger square and outside smaller square) = area of interest / total area

P(inside larger square and outside smaller square) = area inside the larger square and outside the smaller square / area of the larger square

Calculations:

1. Area inside the larger square: side² = (10 cm)² = 100 cm²

2. Area inside the smaller square = side² = (7cm)² = 49 cm²

3. Area inside the larger square and outside the smaller square

100 cm² - 49 cm² = 51 cm²

4. P (inside larger square and outside smaller squere)

51 cm² / 100 cm² = 51/100

5 0

2 years ago

Which of the following points is not coplanar with points C, D and E?

yulyashka [42]

c is is the answer how much you going to have to graphic

6 0

2 years ago

what is the probability that a randomly chosen number is less than or equal to 90 and is a multiple of 17

kodGreya [7K]

Answer:

let's see...

we have total possible outcomes.. = 90 ( from 1 to 90)

Desiree outcomes..= 5 ( 17,34,51,68,85)

and therefore.. the probability is 5/90 = 1/18.

here you go.. that should be correct I hope.

3 0

1 year ago

While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it

ANTONII [103]

As we know that
x=x0*[1/2]n
putting the values
375=3000*[1/2]n
375/3000=[1/2]n
1/8=[1/2]n
simplify
[1/2]3=[1/2]n
by cancelling them
so n=3
so it will take 3 minutes
hope it helps

7 0

2 years ago

for a class of 24,78% of students got a B or better on the tex How many students is this? Round to a wholenumber

natita [175]

Step 1

Use the ratio of the number to the percentage to get the required answer.

$\frac{Total\text{ number of students}}{\text{The required number of students}}=\frac{Total\text{ percentage of the class}}{\text{Given percentage}}$

Where,

$\begin{gathered} \text{The total number of students = 24} \\ \text{The required number }of\text{ students= x} \\ \text{The total percentage of the class = 100} \\ \text{Given percentage = 78} \end{gathered}$

Step 2

Get the required answer

$\begin{gathered} \frac{24}{x}=\frac{100}{78} \\ 100x=24\times78 \\ 100x=1872 \\ \frac{100x}{100}=\frac{1872}{100} \\ x=\text{ 18.72} \\ \text{Hence} \\ x\approx19students\text{ rounded to a whole number } \end{gathered}$

The number of students that got B or a better grade on the test = 19 students rounded to a whole number.

4 0

6 months ago