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leonid [27]
2 years ago
15

Express this number in scientific notation. 13,040,000

Mathematics
1 answer:
sp2606 [1]2 years ago
6 0
Move the decimal behind the first number(1) then count how many spaces you moved and that is your power. 1.304×10^7
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Simplify the following radicals. 1. √16 2. √17 3. √18 4. √19 5. √20
Pavel [41]

Answer:

Step-by-step explanation:

1) \sqrt{16}= \sqrt{4*4}=4\\\\\\2)  \sqrt{17}

This is the simplest form as 17 is a prime number.

3)  \sqrt{18}= \sqrt{2*3*3} = 3 \sqrt{2}\\\\\\4) \sqrt{19}

19 is a prime number. so it is the simplest form.

5)  \sqrt{20}= \sqrt{2*2*5}=2 \sqrt{5}

3 0
3 years ago
The angle of elevation of a tower, 45 m high from a ball on the ground 52 degree (a) how far is the ball from the foot of the to
blsea [12.9K]

The distance of the ball from the foot of the tower is : 35.18m

The ball would be moved 57.2m away from the foot of the tower for the Angle of elevation to be halved.

<h3>What is angle of elevation?</h3>

Angle of elevation is the angle formed between the horizontal and the  line of view from the vertical.

Analysis:

The height of the tower and the distance of the ball from the foot of the tower form a right angle triangle.

so we use trigonometry.

a) let distance of the ball from foot of tower be x.

  so that, tan 52 = 45/x

  x = 45/tan52

  x = 45/1.279 = 35.18m

b) let the distance of the ball in the new position from the foot of the tower be y.

if the angle of elevation is halved, then new angle is 52/2 = 26°

 tan 26 = 45/y

y = 45/tan26 = 45/0.487 = 92.4m

distance moved from old position to new position = 92.4 - 35.18 = 57.2m

In conclusion, the distance of the ball from the foot of the tower and the distance the ball should move to make its elevation 26° are 35.18m and 57.2m respectively.

Learn more about angle of elevation: brainly.com/question/88158

#SPJ1

4 0
2 years ago
Can anyone help me with these this problem. Show your work
Finger [1]

the answer to your question is 13 mm

7 0
3 years ago
Read 2 more answers
The set of all positive integers that are divisible by both 15 and 35 is infinite. What is the least positive integer in this se
solniwko [45]

Answer:

105

Step-by-step explanation:

A "set" is a group of numbers.

A "positive integer" is a whole number that's bigger than zero.

"divisible by both 15 and 35" means a number that 15 and 35 goes into (with no remainder)

"least" means smallest.

15 and 35 both go into 105.

3 0
2 years ago
Find the value of x in degrees
ipn [44]

Answer:

x=37

Step-by-step explanation:

angles inside a triangle add up to 180

add all angles equal to 180

(x+10)+(3x-5)+(x)=180

remove parenthesis, combine like terms

5x-5=180

add 5 both sides

5x=185

divide by 5

x=37

angles: 37, 47, 106

4 0
2 years ago
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