Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 18
and AC 36, what is the length of AD?
A
D
36
18
B

Given:

The lengths of the sides of a triangle are 6, 11, 16.

To find:

Whether the given triangles is a right angle triangle or not.

Solution:

Pythagoras theorem:

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.

In the given triangle the length of the largest side is 16.

Square of the largest sides is:

[tex]16^2=256[/tex]

Sum of the squares of the two smaller sides is:

[tex]6^2+11^2=36+121[/tex]

[tex]6^2+11^2=157[/tex]

Since [tex]6^2+11^2\neq 16^2[/tex], therefore the given triangle is not a right angle triangle.

Answer:

Step-by-step explanation:

area of the big square plus the area of the little rectangle.

total area = s² + bh

                = 7² + (4)(3)   ft²

Answer: 165

Step-by-step explanation:

Given

The shop has 1323 bamboo flowers

Each vase can hold exactly 8 bamboo flowers

no of the vase(n) filled with 8 flowers are

[tex]\Rightarrow n=\dfrac{1323}{8}=165.375[/tex]

i.e. 165 is completely filled and 166th is partly filled

[tex]\Rightarrow 165\times 8=1320[/tex] i.e. 3 flowers are left after filling 165 vases completely.

The empty shelf can be filled in 120 ways

The total number of books is

[tex]n = 10[/tex]

The number of books to move is:

[tex]r = 3[/tex]

To fill the empty shelf with three books, we make use of the following combination formula

[tex]^{n}C_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^{10}C_3 = \frac{10!}{(10 - 3)!3!}[/tex]

Evaluate the expression

[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]

Expand

[tex]^{10}C_3 = \frac{10 \times 9 \times 8 \times 7!}{7! \times 3\times 2 \times 1}[/tex]

Cancel out the common factors

[tex]^{10}C_3 = \frac{10 \times 9 \times 8}{3\times 2 \times 1}[/tex]

Evaluate the products

[tex]^{10}C_3 = \frac{720}{6}[/tex]

Divide

[tex]^{10}C_3 = 120[/tex]

Hence, the empty shelf can be filled in 120 ways

Read more about combinations at:

https://brainly.com/question/11732255

Answer:

Step-by-step explanation:

If 2p + 6a = $14

and 3p + 9a = $21

then the following would also be true:

1p + 3a = $7

If p = pear and a = apple, how much would each cost?  The unit prices can be determined by looking at the pattern. You can use multiplication to solve the problem.  

For example, 1p + 3a*2 = $7

p = $1/each

a = $2/each or $6 total

I hope this helps you out.

Answer:

the unit for pears and apples are : 35

Step-by-step explanation:

14 + 21 = 35

or it is 2 x 6 x 3 x 9 wich is : 324 i doubt thats the answer tho

Answer:

84

Step-by-step explanation:

140% of 60 = 60 times 140% = 60 × 1.4 = 84

Answer:

84

Step-by-step explanation:

We can use a proportion to answer this question.

On the left side of the equal we can put the percentages (at first place the given one and in the second place 100)

On the right side we can put the numbers. x is the 140 of 60, while 60 is the

100%

140: 100 = x : 60

For find the x we have to multiply 60 and 140 and divide the result for 100

x = (60*140)/ 100 = 84

Answer:

thats a scam ^

dont click the link ir search

Answer:

11

Step-by-step explanation:

edge 2020

p.s. pls mark brainliest, and have a good day! :)

Answer:

3x(x-1) = 0

x= 1

Step-by-step explanation:

is 3x2 supposed to mean 3x^2 i dont know

Answer:

46

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

i think 15 or 8

hope it helps

Answer:

the slope would be rise over run

it is shown in the graph it rise 3units and run 2units therefore it's 3/2

-41.2 minus (-37.4) is -3.8.

If this is incorrect, please, don't refrain to tell me. Thank you.

Answer: -3.8

Hope this helps!

Answer:

12√2

Step-by-step explanation:

It's 12√2 because the hypotenuse of the triangle is 12. that means for a^2 + b^2 = c^2, we get c^2 = 144. a and b are equal so the answer is 6√2.

Also, don't any links you see on this site, they are hackers

Answer:

How many volunteers worked a total of 4 hours

Step-by-step explanation:

Its right i got a one hundred my test

Answer:

How many volunteers worked at a total of 4 hours?

Step-by-step explanation:

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB  be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]

First , lets solve for x.

[tex]=> \frac{x - 4}{2} = -8[/tex]

[tex]=> x - 4 = -8 \times 2 = -16[/tex]

[tex]=> x = -16 + 4 = -12[/tex]

Now , lets solve for y.

[tex]=> \frac{y - 10}{2} = -4[/tex]

[tex]=> y - 10 = -4 \times 2 = -8[/tex]

[tex]=> y = -8 + 10 = 2[/tex]

∴ The co-ordinates of another endpoint = (-12 , 2)

Using conditional probability, it is found that P(A|B) is read as "the probability that A occurs given that B has occurred", hence the statement is:

B. False.

It is the probability of an event B occurring, considering that event A has occurred, and it represented by P(A|B).

Hence, following the same standard, P(B|A) is read as "the probability that A occurs given that B has occurred", which means that the statement is false and option B is correct.

More can be learned about conditional probability at https://brainly.com/question/14398287

#SPJ1

Answer:

1. y= 3x -10

2. y= -5x + 7

3. y= x -9

4. y= 2/3x- 6

5 y= -x + 2 1/2

Answer:

48

Step-by-step explanation:

Trust me!

Answer: nearest degree is 40

Step-by-step explanation:

9514 1404 393

Answer:

  b = -5

  c = -2

Step-by-step explanation:

The explicit form of a sequence with common ratio r and first term a1 is ...

  an = a1(r^(n-1))

Matching the forms, we see that ...

  b is the first term of the sequence: -5.

  c is the common ratio: 10/-5 = -2.

In summary, ...

  b = -5, c = -2

Answer:

10

Step-by-step explanation:

h= -4

k= -3

plug in h and k

[tex]\frac{(-4*-3)-4}{2}+6[/tex]

[tex]\frac{(12)-4}{2} +6[/tex]

[tex]\frac{8}{2} +6[/tex]

4 + 6= 10

Answer:

X = 2 and -3

Step-by-step explanation:

I  hope this helps :)

Answer:

Step-by-step explanation:

266

Answer:

a=5cm

Step-by-step explanation:

V=B*H

You will get base if you do this:

B=V:H

B=175:7

B=25

I'm not so good with English, side is probably a,so:

Formula for base: B=a²

Then a=√B

a=√25

a=5cm

I hope this helps.

Answer:not sure

Step-by-step explanation:

just robbing ur points

next time dont do it to me :)

Answer:

35 PC's baked used has then