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densk [106]
1 year ago
8

What is the solution to the equation x\3 + 5= 8?x = 6x = 9x = 1x = 7

Mathematics
1 answer:
liq [111]1 year ago
4 0

we have the equation

\frac{x}{3}+5=8

Solve for x

That means ----> isolate the variable x

step 1

Subtract 5 on both sides

\begin{gathered} \frac{x}{3}+5-5=8-5 \\  \\ \frac{x}{3}=3 \end{gathered}

step 3

Multiply by 3 on both sides

\begin{gathered} \frac{x}{3}*3=3*3 \\ x=9 \end{gathered}<h2>The answer is x=9</h2>
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4 years ago
Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65 angle with the ground.
hammer [34]

The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.

He needs to move the ladder 0.1 ft closer to the base of the building.

The situation forms a right angle triangle.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;

cos 65° = adjacent / hypotenuse

cos 65° = d / 10

d = 10 × 0.42261826174

d = 4.22618261741

d = 4.2 ft

She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;

cos 65 = d / 9.6

d = 9.6 × 0.42261826174

d = 4.05696

d = 4.1

Therefore, he needs to move the ladder 0.1 ft closer to the building.

learn more on right angle triangle here: brainly.com/question/14988069

8 0
3 years ago
Provides a unique set of guidelines that can be applied to any triangle. The guidelines demonstrate a clear understanding of app
Oksi-84 [34.3K]

we can have a triangle  and we know that there are two angles. 

30º and a 45º + 105 =180º angle. applying the sides. 

therefore if we have the whole triangle completed we have a constant triangle. 


so it tell us we can you’se SOH CAH TOA 

we can varrify what kind of triangle we are using. 


for example if we were to use  Sin I would do 


Sin 30/ 2 = sin of 105º/ A = sin=45º/ B


if you would want to solve for  sin 30/2 and sin 105, then we solve. 

 

or Sin 30/2  and Sin 105 as well. 


with your calculator use sin= 30=.5  and use sin 105º a divide by 1.5 on both sides    1.5= A /sin 105º * 1.5   answer would be 3.86.  a is = to 3.86 (Not the answer)


5 0
3 years ago
A man buys a washing machine whose price VAT (value added Tax ) is Birr 175. lts VAT is charged at 15 % ,how much did the man ac
Ad libitum [116K]

9514 1404 393

Answer:

  Birr 1341.67

Step-by-step explanation:

The tax is 15% of the price (p), so we have ...

  0.15p = 175

  p = 175/0.15 = 1166.67

When the tax is added, the total comes to ...

  1166.67 +175 = 1341.67

The man actually paid Birr 1341.67.

5 0
3 years ago
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