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notsponge [240]
3 years ago
6

Can you please help me i’ll give extra points

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

First, we need to solve for sin(67°) = 22/x. Multiply each side by x and divide each side by sin(67°)

x = 22/sin(67°) = 23.9

Use pythagorean theorem to find the last side.

a^2 + 22^2 = 23.9^2

a^2 + 484 = 571.21. Subtract each side by 484

a^2= 87.21. Take the square root of each side.

a = 9.3

x = 23.9 and the other side is 9.3

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%201%20%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B7x%20-%203%7D%7B2%7D%20" id="Tex
MAVERICK [17]

Answer:

\sf x =\dfrac{2}{3}

Explanation:

\sf \rightarrow \dfrac{x+1}{2} = \dfrac{7x-3}{2}

cross multiply

\sf \rightarrow 2(x+1) = 2(7x-3)

divide both sides by 2

\sf \rightarrow x + 1 = 7x-3

isolate variables

\sf \rightarrow x -7x = -3-1

simplify

\sf \rightarrow -6x = -4

divide both sides by -6

\sf \rightarrow \dfrac{-6x}{-6}  = \dfrac{-4}{-6}

simplify

\sf \rightarrow x =\dfrac{2}{3}

4 0
1 year ago
Read 2 more answers
In an arithmetic sequence {an}, if a1 = 5 and d = 3, find a72. A) 216 B) 218 C) 221 D) 223
Phoenix [80]

The arithmetic sequence with the given condition is determined recursively by

\begin{cases}a_1=5\\a_n=a_{n-1}+3&\text{for }n>1\end{cases}

So we have

a_2=a_1+3

a_3=a_2+3=a_1+3(2)

a_4=a_3+3=a_1+3(3)

and so on with the general pattern

a_n=a_1+3(n-1)

This means the 72nd term in the sequence is

a_{72}=a_1+3(72-1)=5+3(71)=218

so the answer is B.

6 0
3 years ago
Find the least whole number that can replace to make the statement true
Vikki [24]

Remark

Thank you for editing your question. Very few people do and those of answering don't really like reporting incomplete questions (or I don't).

You could write it like this.

Solve\dfrac{x}{7} > 800 Multiply both sides by 7

x > 800 * 7

x > 5600 That would make the inequality equal to 800 if x = 5600.

You need to go just 1 step further. Try 5607. When you divide that by 7, you get 5607/7 = 801 which is 1 bigger than 800.

5607 <<<<< Answer

7 0
3 years ago
I want answers on my math homework
lana66690 [7]
Take a clearer picture :)
3 0
3 years ago
Explain the difference between (-5)2 and<br> -52.
Tpy6a [65]

Answer:

the parentheses say that you have to multiply -5 and 2

where as -52 is just a number.

7 0
3 years ago
Read 2 more answers
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