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kozerog [31]
3 years ago
13

Which of the following demonstrates the commutative property across multiplication for 2× 10 × 7

Mathematics
2 answers:
Phoenix [80]3 years ago
5 0
Its A. Kelp dont you dare.

Darina [25.2K]3 years ago
5 0
Hey there, commutative property is when you mix up the numbers but you will still the same answer. 2*10*7=140. 10*7*2=140. Therefore, the answer would be A. 10*7*2
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Bo is flying a kite, holding his hands a distance of 3.5 feet above the ground and
morpeh [17]

The height of the kite will be 53.32 feet above the ground.

<h3>What is trigonometry?</h3>

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

  • The boy is flying a kite, holding his hands a distance of 3.5 feet above the ground and
  • letting all the kite's strings play out. He measures the angle of elevation from his hand to the kite to be 29°. If the string from the kite to his hand is 110 feet long, what is the total vertical height?

The height of the kite above the ground will be calculated as:-

Sin\theta = \dfrac{perpendicular}{Hypotenuse}

Sin(29)=\dfrac{H}{110}

H = Sin(29)  x  110

H  = 53.32 feet

The hand of the boy is 3.5 above the ground so the total height H(t) of the kite above the ground will be:-

H(t)  = 53.232  +  3.5

H(t)  = 56.28 feet.

Therefore the height of the kite will be 53.32 feet above the ground.

To know more about Trigonometry follow

brainly.com/question/24349828

#SPJ1

8 0
2 years ago
Can you please help me do my math homework I am struggling <br> its due for tomorrow morning
Lyrx [107]

Answer:

Actual pressure = 36.5.

Step-by-step explanation:

x + 0.08x

= 1.08x

1.08x = 39.42

x = 39.42/ 1.08

= 36.5

5 0
3 years ago
Given that 'n' is a natural number. Prove that the equation below is true using mathematical induction.
LenaWriter [7]

<h3>To ProvE :- </h3>

  • 1 + 3 + 5 + ..... + (2n - 1) = n²

<u>Method</u><u> </u><u>:</u><u>-</u>

If P(n) is a statement such that ,

  1. P(n) is true for n = 1
  2. P(n) is true for n = k + 1 , when it's true for n = k ( k is a natural number ) , then the statement is true for all natural numbers .

\sf\to \textsf{ Let P(n) :  1 + 3 + 5 + $\dots$ +(2n-1) = n$^{\sf 2}$ }

Step 1 : <u>Put </u><u>n </u><u>=</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u><u> </u>

\sf\longrightarrow LHS = \boxed{\sf 1 } \\

\sf\longrightarrow RHS = n^2 = 1^2 = \boxed{\sf 1 }

Step 2 : <u>Assume </u><u>that </u><u>P(</u><u>n)</u><u> </u><u>is </u><u>true </u><u>for </u><u>n </u><u>=</u><u> </u><u>k </u><u>:</u><u>-</u>

\sf\longrightarrow 1 + 3 + 5 + \dots + (2k - 1 ) = k^2

  • Add (2k +1) to both sides .

\sf\longrightarrow 1 + 3+5+\dots+(2k-1)+(2k+1)=k^2+(2k+1)

  • RHS is in the form of ( a + b)² = a²+b²+2ab .

\sf\longrightarrow 1 + 3+5+\dots+(2k-1)+(2k+1)= (k +1)^2

  • Adding and subtracting 1 to LHS .

\sf\longrightarrow 1 + 3+5+\dots+(2k-1)+(2k+1) + 1 -1  = (k +1)^2 \\

\sf\longrightarrow 1 + 3+5+\dots+(2k-1)+(2k+2) - 1 = (k +1)^2

  • Take out 2 as common .

\sf\longrightarrow 1 + 3+5+\dots+(2k-1)+\{2(k+1)-1\}= (k +1)^2

  • P(n) is true for n = k + 1 .

Hence by the principal of Mathematical Induction we can say that P(n) is true for all natural numbers 'n' .

<em>*</em><em>*</em><em>Edits</em><em> are</em><em> welcomed</em><em>*</em><em>*</em>

8 0
2 years ago
Read 2 more answers
William hikes at a constrant rate , converting 6 miles in 2 hours, which expression represents how many miles william hikes in 4
yulyashka [42]
The answer is D
6/2=3 miles per hour
6 0
2 years ago
I have no idea what this is
sattari [20]

Answer:

If y = 30, x = 10

Explanation:

If you extend the line to reach the y-value of 30, the x-value of the point will be 10. So, if y = 30, x = 10.

Good luck ^^

7 0
3 years ago
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