All categories

3 years ago

What is acute angle

Mathematics

1 answer:

nordsb [41]3 years ago

6 0

Answer:

An angle that measures less than 90 degrees.

Step-by-step explanation:

You might be interested in

The larger of two numbers is 12 more than the smaller number. if the sum of the two numbers is 74 find the two numbers.

STatiana [176]

Hi there!

Let th' two number be ' a ' and ' b ' [ a > b ]

According to th' question :-

→ The largest of two numbers is 12 more than the smaller number.

a = 12 + b ---(i)

→ Sum of the two numbers is 74.

a + b = 74

b = 74 - a ---(ii)

Substitute th' value of ' b in Eqn. :-

a = 12 + (74 - a)

a = 86 - a

a + a = 86

2a = 86

a = $\dfrac {86}{2}$ = 43

Now,
Substitute th' value of ' a ' in Eqn. (ii)

b = 74 - b

b = 74 - 43

b = 31

Hence,
The required answer is :-

• The smaller number is 31
• The largest number is 43

~ Hope it helps!

7 0

3 years ago

Read 2 more answers

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Ad libitum [116K]

Answer:

The cost function is simply the initial cost plus the manufacturing cost.

C(x)=500+20x-5x^3/4+0.01x^2

The demand function was given to us.

p(x)=320-7,7x

The revenue function is simply x multiplied by the demand function.

R(x)=xp(x)=320x-7.7x^2

We find that when 20 planes are produced, that profit is currently maximized

We know that to maximize profit, marginal revenue must equal marginal cost.

C'(x)=20-15/4x^-1/4+0.02x

R'(x)=320-15.4x

x=19,57

We find that when 20 planes are produced, that profit is currently maximized.

Step-by-step explanation:

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial cost of designing the airplane and setting up the factories in which to build it will be 500 million dollars. The additional cost of manufacturing each plane can be modeled by the function: , where x is the number of aircraft produced and m is the manufacturing cost, in millions of dollars. The company estimates that if it charges a price p (in millions of dollars) for each plane, it will be able to sell planes.

(a) Find the cost, demand, and revenue functions.

(b) Find th eproduction level and the associated selling price of the aircraft that maximizes profit.

3 0

3 years ago

How do you prove theorems behind two parallel lines cut by a transversal?

LenaWriter [7]

The way to do it can be explained like this:
Say AB and CD are the two parallel lines cut by a transversal at E and F respectively.
Then the pairs of alternate interior angles are:
Angle(AEF) and Angle(DFE)
Angle(CFE) and Angle(BEF)
Now lets prove if this is true:
Angle(CFE) +Angle(DFE) = 180
(linear pair)
Also
Angle(CFE) +Angle(AEF) = 180
(Corresponding angles)
Equate the above results:
Angle(CFE) +Angle(DFE) = Angle(CFE) +Angle(AEF)
Angle(DFE) = Angle(AEF)
Happens the same with
Angle(CFE) = Angle(BEF)
Hope this is very useful for you

5 0

3 years ago

I REALLY NEED HELP LIKE ASAP

Akimi4 [234]

1. The square on the inside is 8 x 8 = 64

2. The triangle's area is 8x9x1/2= 72 x 1/2 = 36

3. there are 4 triangles so 36 x 4 = (or 72 x 2 ) = 144 :)

7 0

3 years ago

Read 2 more answers

plz help im stuck on it. caterers are planning to use 5 pounds of salad greens with 1/3 pound of greens in each salad how many s

sweet [91]

I believe the most logical answer would be is to divide so us the kcf method keep change flip so 5 stays the same then change division into multiplication then flip the fraction 1/3 into 3/1 so now we have 5 times 3 is 15

7 0

3 years ago

What is acute angle ​

What is acute angle