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SVEN [57.7K]
3 years ago
14

Help me plzz!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
NemiM [27]3 years ago
5 0

9514 1404 393

Answer:

  162 degrees

Step-by-step explanation:

Angles P and F are supplementary, so ...

  3x^2 +12x = 180

  x^2 +4x = 60

  x^2 +4x -60 = 0

  (x +10)(x -6) = 0

The useful value of x that makes this true is x=6.

The measure of angle Q is 3x, so is 3·6 = 18 degrees. The measure of angle S is the supplement to that:

  ∠S = 180° -18° = 162°

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Step-by-step explanation:

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Which shows the expression below simplified?
salantis [7]

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Step-by-step explanation:

(7 × 10-7) × 0.06

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Need help with this math ​
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Step-by-step explanation:

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3 years ago
Write an equation that can be used to solve the problem. Then answer the question asked. A group of college students are volunte
svp [43]

Answer:

Required equation : \frac{1}{t}=\frac{1}{3}+\frac{1}{9}

Together they can paint the same room in 2.25 hours or 2 hours 15 minutes.

Step-by-step explanation:

It is given that Dale Horton can paint a certain room in 3 hours.

One hour woks of Dale Horton = 1/3

Kathy Garcia can paint the same room in 9 hours.

One hour woks of Kathy Garcia = 1/9

Let together they can paint the same room in t hours.

One hour woks of both = 1/t

\frac{1}{t}=\frac{1}{3}+\frac{1}{9}

\frac{1}{t}=\frac{3+1}{9}

\frac{1}{t}=\frac{4}{9}

After reciprocal we get

\frac{t}{1}=\frac{9}{4}

t=2.25

1 hour = 60 minutes.

0.25 hour = 15 minutes.

Therefore, together they can paint the same room in 2.25 hours or 2 hours 15 minutes.

4 0
3 years ago
To travel 80 miles, it takes Sue, riding a moped, 2 hours less time than it takes Doreen to travel 60 miles riding a bicycle. Su
andriy [413]

Answer:

Time taken by Doreen is 6 hours and speed is 10 miles per hour.

Time taken by Sue is 4 hours and speed is 20 miles per hour.

Step-by-step explanation:

Let the speed of Doreen be x

According to the question  speed of Sue   is = x+10

time  taken By Sue to cover 80 miles = \frac{80}{x+10}

time taken by Doreen to travel 60 miles = \frac{60}{x}

According to question Sue take two hours less than Doreen takes

therefore

\frac{60}{x} - \frac{80}{x+10} =2

\frac{60(x+10)-80x}{x(x+10)} =2

60(x+10) -80x = 2(x(x+10)

60x+600-80x = 2x^2+20x\\

simplifying it ,we get

2x^2+40x-600=0\\

Dividing both sides by 2 ,we get

x^2+20x-300=0\\

solving it for x ,we get

(x+30)(x-10) =0

x =-30 which is not possible

x =10 miles per hour

Speed of Doreen = 10 miles per hour

Speed of Sue = 10+10 = 20 miles per hour

Time taken by Doreen = 60 divided by 10 = 6 hours

Time taken  by Sue = 80 divided by 20 = 4 hours

5 0
3 years ago
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