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4 years ago

What is 2x=8a+2b; solving for x

Mathematics

1 answer:

Eddi Din [679]4 years ago

7 0

Answer:

Step-by-step explanation:

Flip the equation 1) 8a + 2b = 2x

Subtract 2b from both sides 2)8a + 2b(-2b) =<em> 2x + (-2b)</em>

Divide by 8 on both sides 3) 8a/8 =<em> -2b - 2x/8</em>

4) a = 1/-4b + 1/4x

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An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa

Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = $7^{\circ}$

$\angle CAB = \angle DCA = 7^{\circ}$ [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

$\tan (\theta) = \frac{Opposite side}{Adjacent Base}$

$\tan (\angle CAB) = \frac{BC}{AB}$

Here, BC = 50 foot and $\angle CAB =7^{\circ}$

then;

$\tan (7^{\circ}) = \frac{50}{x}$

$x = \frac{50}{\tan 7^{\circ}}$

$x = \frac{50}{0.1227845609}$

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

5 0

3 years ago

Rosa has 3 3/4 pounds of dough. She uses 1/8 of a pound for one roll. How many folks could be made from rosa's dough

Misha Larkins [42]

(3 3/4)/(1/8) rule: a b/c=(ac+b)/c

(15/4)/(1/8) rule (a/b)/(c/d)=(a/b)*(d/c)

(15/4)(8/1)

120/4 simplify by dividing numerator and denominator by 4

30

So with 3 3/4 pounds of dough, she can make 30 rolls.

8 0

3 years ago

Read 2 more answers

The integer to represent a gain of 9 pounds would be ______.

AlladinOne [14]

Answer: -9

Step-by-step explanation:

5 0

3 years ago

3(x+4) < 5(x+3) give answer as an improper fraction in its simplest form. Someone help me please x

Alex73 [517]

Answer:

x > -3/2

step-by-step explanation:

3(x+4) < 5(x+3)

3x+12 < 5x +15

-3 < 2x

-3/2 < x

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4 years ago

Round 139,664 to the nearest ten.

Annette [7]

the tens place is the 1st six from the right

We look at the 4 and it is less than 4 so we leave the six alone

139,660

7 0

4 years ago