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3 years ago

Solve: 3/5 − 6/11 A:3/55 B:3/6 C:3/11

1 answer:

8 0

The answer is: [A]: 3/55 .
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Explanation:
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(3/5) - (6/11) = [(3*11) / (5*11) ] - [(6*5) / (11*5)] = (33/55) - (30/55) = 3/ 55.
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John stands 150 meters from a water tower and sights the top at an angle of elevation of 36º. If John's eyes are 2 meters above

horsena [70]

Answer:

The height of tower $DB=111\ meters$ .

Step-by-step explanation:

Diagram of the given scenario is shown below.

Given that,

Distance between John and tower is $CE=150 \ meters$ .

Angle of elevation to the top of the tower is $\angle DEC=36$ °.

Height of John is $CB=2\ meters$ .

To Find: Height of the tower $DB$ .

So,

In triangle ΔDCE,

$Tan$ (∠ $DEC)= \frac{DC}{CE}$

$Tan (36)= \frac{DC}{150}$

$DC= tan(36)\times 150$

$DC=108.98\ meters$

Now,

To calculate the height of tower we have

$DB=DC+CB$

$DB=108.98+2$

$DB=110.98\ meters$ ≈ $111 \ meters$

Therefore,

The height of tower $DB=111\ meters$ .

6 0

3 years ago

A rectangular piece of paper with length 35 cm and a width 18 cm has two semicircles cut out of it as shown below

Eddi Din [679]

Answer:

375.66 cm²

Step-by-step explanation:

The two semicircles add to a full circle.

For the circle, d = 18 cm.

r = d/2 = 9 cm.

A = LW - πr²

A = (35 cm)(18 cm) - 3.14(9 cm)²

A = 375.66 cm²

3 0

3 years ago

32^{3x+5}=8^{x−1} I need help plz

Elena L [17]

Answer:

The value of x for the given expression is $\dfrac{- 7}{3}$

Step-by-step explanation:

Given as :

The expression is

$(32)^{3 x + 5}$ = $(8)^{ x - 1}$

Now,

∵ $(2)^{5}$ = 32

And $(2)^{3}$ = 8

So, $(2^{5})^{3 x + 5}$ = $(2^{3})^{x - 1}$

Or, $2^{15 x + 25}$ = $2^{3 x - 3}$

<u>Here , on both side base is 2 , so we remove common base 2</u>

∴ Equation can be written as

15 x + 25 = 3 x - 3

Or, 15 x - 3 x = - 25 - 3

Or, 12 x = - 28

∴ x = $\dfrac{- 7}{3}$

So, The value of x = $\dfrac{- 7}{3}$

Hence, The value of x for the given expression is $\dfrac{- 7}{3}$ Answer

8 0

3 years ago

16 - 3x = 4 + x <br> solve please

likoan [24]

Answer:

x = 3

Step-by-step explanation:

Solution for 16-3x=4+x equation:

Simplifying

16 + -3x = 4 + x

Solving

16 + -3x = 4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

16 + -3x + -1x = 4 + x + -1x

Combine like terms: -3x + -1x = -4x

16 + -4x = 4 + x + -1x

Combine like terms: x + -1x = 0

16 + -4x = 4 + 0

16 + -4x = 4

Add '-16' to each side of the equation.

16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0

0 + -4x = 4 + -16

-4x = 4 + -16

Combine like terms: 4 + -16 = -12

-4x = -12

Divide each side by '-4'.

x = 3

Simplifying

x = 3Solution for 16-3x=4+x equation:

Simplifying

16 + -3x = 4 + x

Solving

16 + -3x = 4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

16 + -3x + -1x = 4 + x + -1x

Combine like terms: -3x + -1x = -4x

16 + -4x = 4 + x + -1x

Combine like terms: x + -1x = 0

16 + -4x = 4 + 0

16 + -4x = 4

Add '-16' to each side of the equation.

16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0

0 + -4x = 4 + -16

-4x = 4 + -16

Combine like terms: 4 + -16 = -12

-4x = -12

Divide each side by '-4'.

x = 3

Simplifying

x = 3Solution for 16-3x=4+x equation:

Simplifying

16 + -3x = 4 + x

Solving

16 + -3x = 4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

16 + -3x + -1x = 4 + x + -1x

Combine like terms: -3x + -1x = -4x

16 + -4x = 4 + x + -1x

Combine like terms: x + -1x = 0

16 + -4x = 4 + 0

16 + -4x = 4

Add '-16' to each side of the equation.

16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0

0 + -4x = 4 + -16

-4x = 4 + -16

Combine like terms: 4 + -16 = -12

-4x = -12

Divide each side by '-4'.

x = 3

Simplifying

x = 3

6 0

3 years ago

Solve |x|>5 A. {-5,5} B. { x|-5 < x < 5 } C. { x|x < -5 or x > 5}

Marizza181 [45]

Solve |×|> 5

×>5 or ×<-5

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8 0

3 years ago