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3 years ago

What is the measure of the missing angle?

Mathematics

2 answers:

Arturiano [62]3 years ago

7 0

Your missing angle will be 73 degrees, because the angles all add up to 180. So you add 33 and 74 then subtract that from 180

Studentka2010 [4]3 years ago

5 0

73 is the answer well 73 degrees.

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A scout troop planned to take a bus for an overnight trip to a campground in a nearby state. The bus will cost $360 to rent. The

joja [24]

Let x represent the number originally signed up.
.. 360/x -6 = 360/(x +3)
.. 360*(x +3) -6x(x +3) = 360x . . . . . multiply by the product of denominators
.. 360x +1080 -6x^2 -18x = 360x
.. x^2 +3x -180 = 0
.. (x +15)(x -12) = 0
Solutions are x = {-15, 12}

12 members went on the trip.
_____
The problem wording does not make clear whether the original number (12) or the number suggested by the bus company (15) went on the trip. It would be most reasonable for 15 to go, if the troop had people who were willing.

8 0

3 years ago

Consider the function on the interval (0, 2π). f(x) = sin x + cos x (a) Find the open intervals on which the function is increas

Annette [7]

Answer:Increasing in x∈(0,π/4)∪(5π/4,2π) decreasing in(π/4,5π/4)

Step-by-step explanation:

given f(x) = sin(x) + cos(x)

f(x) can be rewritten as $\sqrt{2} [\frac{sin(x)}{\sqrt{2} }+\frac{cos(x)}{\sqrt{2} } ]..................(a)\\\\\ \frac{1}{\sqrt{2} } = cos(45) = sin(45)\\\\$

Using these result in equation a we get

f(x) = $\sqrt{2} [ cos(45)sin(x)+sin(45)cos(x)]\\\\= \sqrt{2} [sin(45+x)]..........(b)$

Now we know that for derivative with respect to dependent variable is positive for an increasing function

Differentiating b on both sides with respect to x we get

f '(x) = $f '(x)=\sqrt{2} \frac{dsin(45+x)}{dx}\\ \\f'(x)=\sqrt{2} cos(45+x)\\\\f'(x)>0=>\sqrt{2} cos(45+x)>0$

where x∈(0,2π)

we know that cox(x) > 0 for x∈[0,π/2]∪[3π/2,2π]

Thus for cos(π/4+x)>0 we should have

1) π/4 + x < π/2 => x<π/4 => x∈[0,π/4]

2) π/4 + x > 3π/2 => x > 5π/4 => x∈[5π/4,2π]

from conditions 1 and 2 we have x∈(0,π/4)∪(5π/4,2π)

Thus the function is decreasing in x∈(π/4,5π/4)

5 0

3 years ago

The value of (32)⅕ + (-7) + (81)½ is

Brrunno [24]

Answer:

hi pls Mark my answer in brainlist and follow me

6 0

3 years ago

Read 2 more answers

Cristiano is saving money to buy a bike that costs $189, He saved $99 so far. He plans on saving $10 each week. In how many week

yuradex [85]

Answer:

Cristiano will have enough money to buy bike in 9 weeks.

Step-by-step explanation:

Given:

Cost of the bike = $189

Money saved = $99

Money saving each week = $10

We need to find the number of weeks will he have money to buy bike.

Solution:

Let the number of weeks be 'x'.

Now we can say that;

Money saved plus money saving each week multiplied by number of weeks is equal to cost of the bike.

framing in equation form we get;

$99+10x=189$

Subtracting both side by 99 using subtraction property of equality we get;

$99+10x-99=189-99\\\\10x=90$

Dividing both side by 10 using division property of equality we get;

$\frac{10x}{10}=\frac{90}{10}\\\\x=9\ weeks$

Hence Cristiano will have enough money to buy bike in 9 weeks.

7 0

4 years ago

In a grocery store, a $32 case of soda is labeled, "Get a 30% discount. What is the sale price of the case of soda?

Phoenix [80]

Answer:

$22.40

Step-by-step explanation:

For this question you have to use decimal multipliers to work out the sale price of the cola given the information that in a grocery store, a $32 case of soda is labelled get a 30 % discount so to use decimal multipliers we have minus 100 by 30 and then divide by 100

→ We have to minus 100 by 30

⇒ 70

→ And then divide by 100

⇒ 70 ÷ 100 = 0.7

0.7 is the decimal multiplier for this question so we multiply it by the case of soda price with is $32 so

32 × 0.7 = 22.4

The sale price of the case of soda is $22.40 considering a 30% discount on a $32 case of soda

5 0

3 years ago