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2 years ago

Find the value of x. Round your answer to the nearest tenth

Mathematics

1 answer:

Sati [7]2 years ago

6 0

$x=13.8$

Step-by-step explanation:

Since the triangle is right use the tangent ratio to solve for x

$tan41^o=\frac{opposite}{adjacent}=\frac{12}{x}$

Multiply both sides by $x$

x × $tan41^o=12$ ( divide both sides by $tan41^o$ )

x = ≈ ( nearest tenth )

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Ms. Potts washed 1/4 of her laundry. Her son washed 3/7 of it. Who washed most of the laundry? How much of the laundry still nee

LenaWriter [7]

Answer:

Son washed more
Remaining 9/28 of the laundry

Step-by-step explanation:

Make denominators common to see the difference in fractions:

1/4 = 7/28
3/7 = 12/28

Son washed more laundry as 12/28 > 7/28

Together they washed:

7/28 + 12/28 = 19/28 of the laundry

Remaining part is:

1 - 19/28 =
28/28 - 19/28 =
9/28 of the laundry

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3 years ago

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16. Solve -3x2 - 9x + 12 = 0.

AURORKA [14]

Given :

-3x² - 9x + 12 = 0

To find :-

Value of x .

Solution :-

Given equation ,

-( 3x² + 9x -12 ) = 0
3x² + 9x - 12 = 0
3x² + 12x - 3x - 12 = 0
3x ( x +4) -3( x +4) = 0
(3x -3)(x +4) = 0
x = 3/3 , -4
x = 1 , -4

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3 years ago

How do you factor: 5x^3+30x^2+45x (please show steps)

Natasha2012 [34]

Answer:

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Step-by-step explanation:idk

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3 years ago

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The speed of the current is 7 mph. The boat travels three times slower against the current than with the current. What is the sp

kotykmax [81]

Let the speed of the boat be x
so going against the current the speed is x-7
going with the current the speed is x+7

let the distance be d
time = distance / speed
time to go against the current = d/(x-7)
time to go with the current = d/(x+7)

time going against the current is 3 times going with the current

d/(x-7) = 3d/(x+7) ⇒⇒⇒ divide by d
1/(x-7) = 3/(x+7)
x+7 = 3(x-7)
x+7 = 3x - 21
2x = 28
x = 14

So, the speed of the boat in still water is = 14 mph

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4 years ago

O.9c + 1.89r = 17.01 c=18.9 - 2.1r equation answer

ikadub [295]

Answer:

$c=18.90-2.1r$

Step-by-step explanation:

The complete question is

A chef bought $17.01 worth of ribs and chicken. Ribs cost 1.89 per pound and chicken costs 0.90 per pound. The equation 0.90 +1.89r = 17.01 represents the relationship between the quantities in this situation.

Show that each of the following equations is equivalent to 0.9c + 1.89r = 17.01.

Then, explain when it might be helpful to write the equation in these forms.

a. c=18.9-2.1r. b. r= -10÷2c+9

we have that

The linear equation in standard form is

$0.90c+1.89r=17.01$

where

c is the pounds of chicken

r is the pounds of ribs

step 1

Solve the equation for c

That means ----> isolate the variable c

Subtract 1.89r both sides

$0.90c=17.01-1.89r$

Divide by 0.90 both sides

$c=(17.01-1.89r)/0.90$

Simplify

$c=18.90-2.1r$

step 2

Solve the equation for r

That means ----> isolate the variable r

Subtract 0.90c both sides

$1.89r=17.01-0.90c$

Divide by 1.89 both sides

$r=(17.01-0.90c)/1.89$

Simplify

$r=9-0.48c$

therefore

The equation $c=18.90-2.1r$ is equivalent

The equation is helpful, because if I want to know the number of pounds of chicken, I just need to substitute the number of pounds of ribs in the equation to get the result.

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3 years ago