MATHEMATICS HIGH SCHOOL

9. Nick has desigied a diamond-shaped kite as shown below. The measures of so me sides of the kite, are marked in thefigure. Find the value of x (JUSTIFY)

Answers

Answer 1

Answer:

Answer:

$x=(10√(6))/(7)\ in$

Step-by-step explanation:

step 1

In the right triangle DOC

Find the measure of side DO

Applying the Pythagoras Theorem

$DC^(2)=DO^(2)+OC^(2)$

substitute the given values

$7^(2)=DO^(2)+5^(2)$

$DO^(2)=7^(2)-5^(2)$

$DO^(2)=49-25$

$DO^(2)=24$

$DO=2√(6)\ in$

step 2

In the right triangle DOC

Find the sine of angle ∠ODC

sin(∠ODC)=OC/DC

substitute

$sin(ODC)=5/7$ -----> equation A

step 3

In the right triangle DOP

Find the sine of angle ∠ODP

sin(∠ODP)=OP/DO

substitute

$sin(ODP)=x/2√(6)$ -----> equation B

step 4

Find the value of x

In this problem

∠ODC=∠ODP

equate equation A and equation B

$5/7=x/2√(6)$

$x=(10√(6))/(7)\ in$

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Simplify: sqrt(200) - sqrt(32)

Answers

it would be 14- 8 which equals 6 so the answer would be 6

sqrt(200) - sqrt(32)--------------------------------sqrt(200) simplifies to ----> 10 root 2sqrt(32) simplifies to ----> 4 root 2sooo....(10 root 2) - (4 root 2) = 6 root 2

For the school play , adult tickets cost $4 and children cost $2. Natalie is working at the ticket counter and just sold $20 worth of tickets. What are all of the possible ticket combinations for $20 worth tickets?

Answers

5 adult tickets
4 adult 2 kids
3 adult 4 kids
2 adult 6 kids
1 adult 8 kids
10 kids
:)

I dont know the answer but i try to reach 20 characters

8^x = (1/2)^(x-1)
Solve for x

Answers

I will help you with this one before giving you a helpful tool
1/4

The tool is this website: Mathway; Plug in a question and choose what you want the website to do and boom, gives you answers and if you sign up it will show you steps if you have a teacher who wants work shown

Answer:

I think this the answer 1/4

Step-by-step explanation:

Anyone know this?????

Answers

Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

You don't have to use the equation unless you want to check yourself.

Which of the following is not the same set of numbers?natural numbers
whole numbers
counting numbers

Answers

it is natural numbers

Write the following proportion:
8 is to 64 as 2 is to X

Answers

1 way
$(8)/(64) = (2)/(x) \n \n (8:4)/(64:4) = (2)/(x) \n \n (2)/(16) = (2)/(x)$ ⇔ x = 16
......................................................
2.way
$(8)/(64) = (2)/(x)$
We multiply the cross

$8x = 2 * 64 8x = 128 x = 16$

8 over 64 is equal to 2 over x...cross multipy and that should give you 128=8x...now just divide 128 by 8 to find x...x=16

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