Please help me with this

Mathematics

2 answers:

kompoz [17]3 years ago

4 0

Answer:

The answer would be X=24

Step-by-step explanation:

Y is multiplied by 3 to get the answer 30. Because they are varied directly you have to multiply the 8 by 3 to get your answer!

-Hope this helps-

~Bai~

marissa [1.9K]3 years ago

3 0

Answer:

x = 24

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 8, thus

k = $\frac{y}{x}$ = $\frac{10}{8}$ = $\frac{5}{4}$

y = $\frac{5}{4}$ x = 1.25x ← equation of variation

When y = 30

30 = 1.25x ( divide both sides by 1.25 )

x = 24

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nexus9112 [7]

The angles with measurements equal to 3x+3 and 2x+22 should add up to 180°. This is because the angle which measures 2x+22 and the angle that is adjacent to the angle measuring 3x+3 are supposed to be congruent. If we mathematically translate the concept above, this can be expressed as,
3x + 3 + 2x + 22 = 180

Combining like terms,
(3x + 2x) + (3 + 22) = 180
Simplifying,
5x + 25 = 180

Transpose the constants to only one side of the equation,
5x = 155
Divide the equation by 5.
x = 31

<em>ANSWER: x = 31</em>

5 0

2 years ago

A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a pili

Dimas [21]

Answer:

x = 225.16 feet

Step-by-step explanation:

Given that,

The angle between the piling and the pier is 60°.

A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.

We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :

$\tan(60)=\dfrac{x}{130}\\\\x=\tan(60)\times 130\\\\x=225.16\ feet$