MATHEMATICS HIGH SCHOOL

Can someone please figure out the first one, I already got the second one. I need help with the first one.Thank you :)

Answers

Answer 1

Answer:

Answer:

∠DBG= 109°

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer 2

Answer:

Answer:

DBG=109

Step-by-step explanation:

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Simplify 5(x - 6).

-x
5x - 6
5x - 30

Answers

5x-30

When multiplying a term (either constant or variable) by a quantity in parentheses, we multiply each term inside the parentheses by that term. So 5 times x minus 5 times 6.

A surveyor is shooting a line to a point on a tree 55 m from his current position. After rotating his surveying instrument 25" to the left, he shoots another line to a point on a fence post 25 m away.Determine the distance between the point on the tree to the point on the fence post. ( show the appropriate formula , substitutions, and work. Give the distance to the nearest hundredth of a meter)

Answers

Take a look at the diagram below.
This problem looks like a great candidate for using the Law of Cosines.
If you know two sides, you can find the third side from the angle opposite or vice versa. Should the sides be a, b, and c, and their opp. angles A, B, and C...
a² + b² - 2ab(cosC) = c²

Let's plug in what we know...a = 55, b = 25, and m<C = 25".

55² + 25² - 2(55)(25)(cos(25")) = c²

One thing to note is that our angle measure is in seconds. Unless you're using Google's built in calculator, you'll wind up having to convert to degrees. 60 seconds in a minute, 60 minutes in a degree...blahblahblah.
Anyways, cos(25") comes out to be practically 1. (0.99999993)
Let's get evaluating.

3025 + 625 - 2750(1) = c²
3025 + 625 - 2750 = c²
900 = c²
30 = c

The tree is 30 meters from the fence post.

What is the range of 22,44,66,88

Answers

the range is 66 u subtract 88 to 22

Twenty added to the sum of a number and six is twenty-seven

Answers

-- Call the number 'N'.

-- The sum of the number and six is (N + 6).

-- Twenty added to it is 20 + (N + 6)

-- That whole thing is twenty-seven

20 + (N + 6) = 27

Subtract 20 from each side: (N + 6) = 7

Subtract 6 from each side: N = 1

==================================

Check:

Put your solution into the statement and see if the statement is true.

"Twenty added to the sum of (1 and six) is twenty-seven."

That's true. yay !

for six is twenty seven will look like this

6 = 27

sorry i don't know what twenty added to the sum of a number is...

Can i please get help with this question?

Answers

The answer is 3.88888888889

The answer is 35/9

You first would remove the parentheses

Next you see that there is a subtraction symbol and a negative symbol right beside each other. You cant have 2 negatives side by side, so you change the symbol to addition

The problem then looks like this: 5/9 + 3 1/3

To make the problem easier you change the mixed number (3 1/3) to an improper fraction which is 10/3

Because its 5/9 + 10/3 you multiply 10 and 3 and get 30, and you keep the LCD (least common denominator) which is 9

Finally you add 5 + 30 = 35 and have 9 as your denominator

35/9 or 3 8/9

A bottle of water contains 450ml. How many litres of water are there in 8 of these bottles

Answers

Answer:

3.6 litres

Step-by-step explanation:

1 bottle = 450ml

8 bottles = 450 × 8

= 3600ml

1000ml = 1 litre

3600ml = 3.6 litres (3600÷1000)

Answer:

3.6 litres

Step-by-step explanation:

1 bottle = 450ml

8 bottles = 450 × 8

= 3600ml

1000ml = 1 litre

3600ml = 3.6 litres (3600÷1000)

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